S5-03. Cultivating a joy of learning with Sesame Workshop

A blue graphic with text reading "Math Teacher Lounge" in multicolored letters and "Amplify." at the bottom, with abstract geometric shapes and lines as decoration.

Listen as we chat with Dr. Rosemarie Truglio, senior vice president of curriculum and content for Sesame Workshop! Continuing our theme of math anxiety this season, we sat down with Dr. Truglio to chat about Sesame Street and her thoughts on how to spread a growth mindset to young children and put them on course to academic achievement and long-term success.
 
Listen today and don’t forget to grab your MTL study guide to track your learning and make the most of this episode!

Download Transcript

Dr. Rosemarie Truglio (00:00):
Children don’t come with this math anxiety. Math anxiety is learned.

Bethany Lockhart Johnson (00:07):
Welcome back to Math Teacher Lounge. I’m Bethany Lockhart Johnson.

Dan Meyer (00:11):
And I’m Dan Meyer.

Bethany Lockhart Johnson (00:12):
Hello, Dan Meyer.

Dan Meyer (00:14):
Great to see you, Bethany. We are on episode three. Can you believe it?

Bethany Lockhart Johnson (00:18):
So, I feel like we’ve just started scratching the surface about math anxiety. We’ve talked to two amazing researchers. We’ve talked about what math anxiety is, how it’s often screened for some of the causes, some of the consequences … I mean, we’ve had some good conversations. Dan, what do you think?

Dan Meyer (00:38):
Definitely, I think that the consequences have only grown more dire in my head. I’m not sure how you feel about the consequences. But, you know, it is enough for me that we ask students to take mathematics for much of their childhoods, to worry about their anxiety, taking that. But to hear about from these researchers about all the different things that correlate with math achievement and math anxiety—talking about future careers, certainly, but even some other, more serious lifelong concerns? That gives me a lot of motivation to continue this study of math anxiety here with you on the show.

Bethany Lockhart Johnson (01:14):
It is really widespread. It has a big impact, not only on students, but on parents, on educators. You know, it’s—

Dan Meyer (01:23):
Multi-generational.

Bethany Lockhart Johnson (01:25):
Yes. And you know, so often when folks think of math anxiety, what I hear them say is, “Oh, yeah, in high school is when math really ramps up. That’s when anxiety starts.” But we know that it starts in our youngest learners. And our research has already backed that up. We know it. I’ve seen it in my classroom. You may have seen it with some students you work with. And let me tell you, it starts young.

Dan Meyer (01:52):
It does start early. Right now, I have a son that’s just started kindergarten, and he seems relatively math-positive, but we’ve known from our interviews on this show and other kinds of experiences that oftentimes, that feeling —that math is for me, and I am for math, and we are all friends — can turn on a single moment. It seems like one teacher says a thing that changes a student’s perception of themselves as a mathematician or of math itself. So I keep waiting with bated breath, hoping not to find that one moment that changes our current open posture towards mathematics. So now it’s time to really dive into some strategies for combating math anxiety.

Bethany Lockhart Johnson (02:34):
To help us out, we’ve called on a pretty exciting guest. I am so excited, Dan Meyer! We are being joined by Dr. Rosemarie Truglio. She is Senior Vice President of Curriculum and Content at Sesame Workshop. Sesame Workshop! As in, “Tell me how to get to Sesame Street.” Dan, I have to tell you, I spent many, many hours of my childhood watching Sesame Street. I have to ask, do you have happy Sesame Street memories? Is this part of your formation, Dan Meyer?

Dan Meyer (03:08):
At this point? In my advancing years, and the brain cells that I have left, Sesame Street is really kind of just a vibe in my head. But that vibe is such a pleasant one. One in which like nothing bad could happen. One in which learning is common and normalized and fun. And you just kind of feel at home, constantly.

Bethany Lockhart Johnson (03:33):
I don’t know about the “just the vibe” part, because for me, it is visceral. I’m there. I am actually … I mean, I might still be there.

Dan Meyer (03:42):
You could reenact some of the skits?

Bethany Lockhart Johnson (03:44):
. You didn’t watch Sesame Street with your kiddos when they were younger?

Dan Meyer (03:49):
We watched a lot of Elmo. A lot of Elmo. Yeah.

Bethany Lockhart Johnson (03:52):
Next-generation Sesame Street. Well, I think it’s so perfect that we’re gonna be talking about what Sesame Workshop does to help combat math anxiety and create a positive connection and relationship with mathematics. So I’m really excited to hear what Dr. Truglio and her team have been working on. And here’s our conversation with Dr. Truglio.

Dan Meyer (04:15):
Welcome to the show, Dr. Truglio. It is an honor.

Dr. Rosemarie Truglio (04:18):
Great to be here. Thank you for inviting me.

Dan Meyer (04:20):
You are Senior Vice President of Curriculum and Content at Sesame Workshop, which definitely sounds like the coolest job in the world to both four-year-old me and also Now me. Would you just help us help us with some backstory of how you ended up here, and what you do at Sesame Workshop?

Dr. Rosemarie Truglio (04:38):
Sure. It is a pretty cool job. And I am very fortunate that I’ve been in this position for the past 26 years. So, I am a developmental psychologist, and my job is to help Sesame Workshop identify curriculum needs, so that we could address them in the content that we create on the show and across our various platforms. So, Sesame Street is currently in its 53rd season. And we just, wrapped production for the 54th season, which we’ll debut next fall. And Sesame Street began with an experiment: Can television actually teach children school readiness skills, to have them better prepared for school? Especially those children who did not have access to formal education during the preschool years? And it is what we call a whole-child curriculum, because we’re dealing with all of the school readiness needs. So that that includes the academic needs, their social-emotional needs, and their health needs, as well as what we call these cognitive processing skills—how children learn content. Right? So it’s not just content skills, but how you approach learning and how you actually learn content. So as a grad student, I was fortunate to work at the Center for Research on the Influences of Television on Children. Very special center. It was at the University of Kansas. And my advisors, developmental psychologists, they studied the effects of television on children, both the positive effects and the negative effects. And so part of their research was to actually look at the longterm educational effects of Sesame Street. So I was working with Sesame Street content as a grad student, and then came to New York City. My first job was Assistant Professor at Teachers College, Columbia University. And when this position became available, Director of Research at the time, it was called, I took that job. And so my job was to oversee both the curriculum and the implementation of the curriculum, as well as the research. Because what we know, our co-founder, Joan Ganz Cooney has always said, for Sesame Street to be a successful educational program, production has to work closely with early childhood educators. They are the ones who know the curriculum and, and develop the curriculum goals, as well as the developmental psychologists who actually study how children are paying attention to the content. But more importantly, what are they comprehending from the content? And we all have to work together. Because even though we are the experts, the real experts are the children themselves. So nothing is deemed final until we actually show the children and see what they are learning from the content that we are producing.

Dan Meyer (07:54):
Are you referring to like, test audiences of kids then?

Dr. Rosemarie Truglio (07:57):
Yeah, I guess you could call it test audiences. I mean, I don’t. I don’t like to call it that because I see them as co-collaborators. I don’t see them as a test audience. Because, as I said, they’re the experts. It’s a collaboration. I mean, they’re the experts. And so I wanna know—

Dan Meyer (08:12):
As collaborators. I got it now. Yeah.

Dr. Rosemarie Truglio (08:14):
They help us. So that’s exactly what we tell the children too. So it’s called formative research. You know, we, we do what we call, um, storybook testing, an animated version of a storybook to have some little movement and see are they finding the story engaging, but more importantly, are they picking up on the intended educational lesson that we’re trying to teach in the story. So they are co-collaborators. they’re the ones who are helping us get the story just right for them.

Dan Meyer (08:46):
That’s really exciting, and makes me think about what classes might be like if students were regarded in that kind of lens as well. I just wanna say that my four-year-old self is on this interview as well, and is re-contextualizing all the stuff I saw as a kid. And it just felt like, at the time, you folks turned the camera on and went down to the street and we just had this real natural time. And it’s great to hear about all the intense preparation and co-construction at work and work that went into that time. Yeah,

Dr. Rosemarie Truglio (09:12):
It’s about a year preparation from start to finish. From the start of identifying, “What is the educational need? Is it an academic need? Is it a social-emotional need? Is it a health need? Is it a cognitive-processing need?” And then once we have the need identified, we have what we call a curriculum seminar. We bring in the experts who are studying this topic with preschoolers, because we wanna get it, we wanna get it right.

Bethany Lockhart Johnson (09:41):
Which, by the way, little behind the scenes: How often do you get to go to set?

Dr. Rosemarie Truglio (09:46):
So we’re in a production probably about six weeks out of the year. Covid really messed things up. ‘Cause we have to be really—we have very strict Covid protocols, but there is someone on my team—and sometimes we have to, you know, rotate for availability—but there’s always an educator on set.

Bethany Lockhart Johnson (10:06):
Awesome.

Dr. Rosemarie Truglio (10:07):
Because even though you stick to the script, questions arise; they wanna make changes; sometimes they have to cut; things are running too long and they have to cut and we gotta figure out where to cut. So there’s always an educator on set.

Bethany Lockhart Johnson (10:19):
But sometimes you go and have lunch, like—.

Dr. Rosemarie Truglio (10:21):
Oh, I go, yes. Sometimes I go—

Bethany Lockhart Johnson (10:23):
And just hang out with Big Bird, right?

Dr. Rosemarie Truglio (10:24):
Sometimes I go hang out with Big Bird. No, those are my friends!

Bethany Lockhart Johnson (10:27):
They are!

Dr. Rosemarie Truglio (10:28):
No, no, I go hang out with them. They’re my friends. Yes.

Bethany Lockhart Johnson (10:32):
When I think about Sesame Street and I think about … like, I can’t help but smile. Because I think I have such fond memories of the characters. I mean, we invited them, my mom invited them, into our home, right? And, you know, now I have a two-year-old and there’s no doubt that I’m gonna introduce him to Sesame Street. And I see how it really does feel like the folks who are doing this work, you and your team, you have a deep respect for children. So it makes sense that you call your test collaborators “collaborators,” right? They’re a part of it. And you know, I love that. And Sesame Street makes me smile. However, I’m like, we’re talking about math anxiety. And it’s so interesting, because as Dan and I were talking about our memories of Sesame Street … you know, it’s like Sesame Street feels like there’s not much anxiety. I mean, there are problems, and there’s problem solving, and it’s not like everything is perfect. But we figure it out. And it’s OK to make mistakes and it’s OK to try again. And a lot of times, we don’t see that in the math classroom—or at least, how folks talk about math. So, how do you all think about anxiety, about how to prevent it? Like, when you’re doing your work, you know that math anxiety is a real thing. But then that’s not translated in these experiences and the relationships with math that you’re building with your viewers.

Dr. Rosemarie Truglio (12:07):
Yeah, that’s a really good question, because it’s really easy, because our core audience are two- to four-year-olds and they love math. And what’s not to love, right? Because they are figuring the world out as they’re exploring the world. So you said something really interesting, that when you turn on the TV—when you turned on the TV when you were a child, and now you’re a mom of a two-year-old, we wanna make sure that the show represents content that is relevant and meaningful to our target audience. And that comes through with the characters. So all of our characters have very specific personalities, as all children do. And our characters represent all children, in terms of not only personality, but interest and learning styles, ’cause we wanna see—we wanna make sure that children see themselves in these characters. And we have a character who actually loves math. And he’s The Count.

Bethany Lockhart Johnson (13:12):
I’m like, “I know! I know who it is!” I will save you my impression. Although I have done it for my child. But I’ll save our listeners .

Dr. Rosemarie Truglio (13:20):
And you know, he’s an adult character. Some of our characters are preschoolers, like Elmo and Abby—they’re preschoolers—and Zoe. But The Count is an adult. He lives in the castle and he just loves numbers. But what’s really important is while we have The Count to explain—not explain to, but to portray to children, cause we don’t explain anything; we show children that math is more than number, right? Math is a pretty wide concept. Which is what I love about math. And the other thing about math is math language. The language of math. ‘Cause when we’re teaching children vocabulary words, we’re also teaching children the concept. Be it a math concept or a science concept or a social-emotional concept. So children don’t come with this math anxiety. Math anxiety is learned and it’s unfortunate. It’s picked up by their observations of the adults in their lives, who sometimes say out loud, “I don’t like math,” or “Math is hard,” or even worse, “I’m not good at math.” Or may even label it as math anxiety. That word won’t mean anything to a young child. But it then provides a, whaddya call it, like a negative valence for something that they never felt negative about. Because as they’re growing and interacting with the world, math is all around them. And there’s that sense of awe and wonder and joy, especially as they’re learning and they’re figuring it out. So I think we have to reframe math. Instead of saying “math anxiety,” we have to talk about the joy of math and all the wonderful joys that come with the exploration of these math concepts. Number is great. We know kids love numbers. We know that they love to count and use a big word here: enumerate . Because so many parents don’t make this distinction. They’ll say, “Oh, my child is counting!” Well, there’s rote counting, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, which is important. But then it’s like there’s an item for each number. So it’s one Cheerio, two Cheerios. And then as you point to each number, you are then figuring out what the set is, of the number of objects that you have. And then you get at what I love to call the meaningfulness of math. Right? Number has meaning. And as I said, it’s all part of your everyday activities. It’s part of—it’s in your kitchen; you’re following recipes; you’re measuring; you’re weighing. It’s at bath time, right? You could have the sorting of nested cups and you could, you know, and once again, the math language: big, bigger, biggest. These are relational concepts. You could then count what sinks and what floats, if you’re doing science. And then you could put them in two different buckets, and count. These are the items that sunk and these are the items that float. So math and bath time could be a lot of fun. And then there’s math and music. Music is so rich with math, as you talk about rhythm and tempo and dynamics and pitch and duration. That’s all math.

Bethany Lockhart Johnson (16:57):
The way that you talk about it, it is so rich, right? It is so multi-layered. And you know, I’ve shared on the podcast before: I’ve actually had parents in parent-teacher conferences say that, “Well, I wasn’t good at math either,” or “Math’s really not my thing.” And it’s really—it is, it’s rooted in that fear. And so I do see the way that you’re talking about it; I see that come through in Sesame Street. That, in a lot of ways, it’s reeducating parents, right? Because we hope that our caregivers are sitting next to their kiddo and enjoying it together and having conversations about it later. And there’s a way that parents then are also getting their own sense of what math can be, expanded. And I think there’s such a beauty in that. And I love the way that you talk about that, that you really are looking at, “Well, we wanna celebrate counting and the joyfulness of that. And let’s use math talk, you know, and let’s use these words and try out these ideas.” And it’s not because you’re trying to check some list. But you’re really exploring it and having fun together.

Dr. Rosemarie Truglio (18:03):
And you’re embracing it. And you mentioned the word “mistake.” So often when it comes to math, if you make a mistake—you make a mistake in counting or, you know, we’re not doing a lot of math equations on Sesame Street, but that’s when people feel like they can’t do math. ‘Cause they made a mistake. And that’s something that we are trying to address on Sesame Street, that it’s OK to make mistakes and you learn through mistakes. But you have to have—and I’m gonna come up with this other phrase now—you have to have what we call a growth mindset. What that means is that I may not be able to do this yet. Like, it’s called “the power of yet.” So we know that learning any concept, it takes time and practice. And how do we have children embrace the process, right? So often we focus on right and wrong. Now, there is right and wrong with math, of course. You know, there’s a right answer and there’s a wrong answer. But how do we focus, not on the end product, but the process through which you are engaging in? So let’s talk about measurement. Let’s talk about measuring the length and the width or the height of something. You might make some mistakes along the way, but you’re processing it. My son used to make all of these little structures for all his little play animals. Well, you know, he would measure and think he got it right. And then when he put the animals in, of course, you know, either the animal was too wide or it was too tall. And he would have to redo it. But you’re not redoing it from scratch, you’re redoing it now from experience. “I realize that if I’m gonna put the giraffe in with the elephant, I’m gonna need something wide as well as high.” Right? For the length, tall. And that’s process. And then, for children, when they figure it out, that “oops” and “aha”—the “aha” was like, “I did it!” And it’s so empowering, you know, giving them agency—not swooping in and saying, “All right, I’ll fix it for you. You know, we got the wide elephant and the tall giraffe and I’ll you know…”. NO! Having them do it. And another fun activity is in what we call informal measurement. And that’s like getting something of an equal size. It could be paper clips or it could be same-size blocks, and then measuring how long something is. So if it’s measured by blocks versus paperclips, you’re gonna have a lot more paperclips than you are blocks. And that kind of comparison is so fascinating for children. And so that’s measurement. And now we have counting. Like, how many paperclips long is something versus how many blocks long is something.

Dan Meyer (21:02):
So checking my understanding here, you’ve talked about how caregivers and other adults can transmit math anxiety by naming it and claiming it for themselves. And you’ve talked about, some really exciting ways that adults can involve students and kids in different kinds of math. I’d love to go upstream with you a little bit and wonder out loud, where does this anxiety come from initially? It’s gotta be more than adult one to kid two talking about anxiety, and transmitting it from human to human. What is the original spring from which all this anxiety flows?

Dr. Rosemarie Truglio (21:36):
Yeah. I do think it does—a lot of it does come from the adults in their lives. It’s unfortunate, because there is a lot of math talk about it, right? I can’t do math; I’m not good at math. Even when you’re at a restaurant and you get the bill and someone’s figuring out the tip, I can’t tell you how often it’s like, “Pass the bill, because I can’t do math.” Or if you actually then bring gender into it, you know, “Oh, girls aren’t good at math,” and that’s not true. There’s no evidence of that whatsoever, right? So in the younger grades, there’s no gender difference in terms of math ability. What’s also interesting about even socioeconomic status differences, you don’t see a lot of differences between low-income and middle-income children when it comes to math skills. Where you see differences is children’s ability to talk about their mathematical thinking. So if a child doing a math problem is asked, “How did you solve the problem?”, low-income children don’t often have the language to explain their thinking. So that’s something that we did on Sesame Street, where we focused a lot on what we call math talk. So, not just show number and show doing math, but actually narrate and giving the language. Because math literacy is one of the predictors of overall school achievement. So there’s that. They’re getting it from the adults in their lives. They’re getting it, unfortunately, sometimes from their teachers. But I think the anxiety comes from the fear of making mistakes. Because math, there is right and wrong, and always wanting to get the right answer. So that’s why this whole idea of reframing, and saying, “But really, it’s in the process.” So, you know, my son, math is not his strong suit. And I’ve been doing a lot of growth mindset with him as well. And there was a teacher that he had—I think in like 10th or 11th grade—who said, “In a test, I don’t wanna—I’m not even gonna look at the answer. I wanna see the process through which you GOT to this answer. And I’m going to grade the process. So the process could yield a right answer; it could yield a wrong answer. But you’re gonna get graded on the process. Because I wanna see how you are approaching the problem and how you’re thinking it through.” And I think that is a great example of, maybe, to try to reduce math anxiety. Because if you can get people excited about the process through which you’re learning—and that applies to all subjects, it’s not just math!

Bethany Lockhart Johnson (24:36):
I’m like, that applies to life! Right?

Dr. Rosemarie Truglio (24:38):
That applies to life!

Bethany Lockhart Johnson (24:39):
That’s so spot on. Wow. Yeah.

Dr. Rosemarie Truglio (24:41):
But I think that there’s so much focus on right and wrong, and not really understanding the value of the process. So on Sesame, we’ve been doing a lot of “oops” and “ahas.” You know, we’re gonna make mistakes, but what’s important is what do you DO when you make a mistake? So there’s a great episode with The Count. A couple of years ago. The Count was counting. Something he does every day. A lot of time, every day, ’cause he’s obsessed with counting and numbers. And he was counting an array of items.

Gladys the Cow (25:17):
I need 10 sandwiches all together.

The Count (25:22):
Well, of course.

Dr. Rosemarie Truglio (25:23):
And he made a mistake.

Elmo (25:25):
The Count?

The Count (25:25):
Hmm?

The Count (25:25):
Elmo thinks The Count made a little mistake.

The Count (25:31):
No mistake.

The Count (25:32):
Mm-hmm. Yeah.

Dr. Rosemarie Truglio (25:33):
And first time ever, did he make a mistake. And he fell apart.

The Count (25:38):
I must make sure that that never happens again. So I shall never count again.

Dr. Rosemarie Truglio (25:46):
And that’s an example of showing that, you know, you could get upset when you make a mistake, but what’s important is you gotta come back and you gotta come back to doing what you love. In his case, is counting and letting him know that it was an “oops.” But you learn that mistakes are OK. It’s OK to make a mistake and continue to do what you love.

The Count (26:13):
I must keep trying and you should, too.

Elmo (26:17):
Yeah!

The Count (26:17):
So come, let’s count the carrots together!

Elmo (26:18):
Oh, cool!

Bethany Lockhart Johnson (26:19):
And what a beautiful gift to show kiddos. Show that to kiddos, right? And to the adults. I wanna, you know, really acknowledge it, and say, “Hey look this, it’s OK.” And again, you’re giving them that language. That’s such a gift.

Dr. Rosemarie Truglio (26:34):
Thank you.

Dan Meyer (26:34):
We spend a lot of time wondering why other subjects don’t seem to suffer from this negative perception. And I think you’ve unlocked a lot of that. You’ve mentioned that there are issues that cut across different subject areas, but I think from my own experience and research and interviews, it seems that in ELA and the social sciences, there’s this aspect where you need to come up with a claim and “how are you seeing this?” And there are multiple defensible claims. And I love how you imported that generous pedagogy over into math with this example of a teacher who says, “You know what? It’s about the process here.” Disassociating answer and process.

Dr. Rosemarie Truglio (27:09):
And I think the other thing is like, when children are engaged in a project, for parents to point out: “You’re doing math!” Because they don’t realize that they’re doing math. Once again, math is so often equated solely with numbers and mathematical computations. So it was really interesting—the same is true for science. You know, when we’re talking to parents about the use of everyday—like, going to the supermarket or making dinner or bath time, there’s so much math and science in the everyday. And then when you point it out to them—”you’re doing math”—it’s like, “I’m doing math!” Like, you’re setting the table for a family of six: you’re doing math. That’s called one one-to-one correspondence. “I’m doing math: I’m setting the table.” Yeah, but you’re doing math. You can’t set the table because you have to know how many people are gonna be sitting at the table for dinner. You can’t follow a recipe without doing math. You can’t go shopping without doing math. There’s quantity; you gotta figure out how many peppers you gotta buy, or pounds. “I gotta get a bunch of potatoes and I gotta put ’em in the scale. And I have to get two pounds of potatoes.”

Bethany Lockhart Johnson (28:29):
So your book Ready for School: A Parent’s Guide to Playful Learning for Children Ages Two to Five. First, as a parent of a young toddler, I gotta say it’s such a tool; it’s such a resource. It’s very conversational. And I think about these ideas a lot, both in my work and, you know, just for fun. And yet, even if this wasn’t my chosen field, I still feel like it’s just so accessible. And I wanna flag something.

Dr. Rosemarie Truglio (29:01):
Thank you.

Bethany Lockhart Johnson (29:01):
Yeah, no. Thank YOU. . I wanna flag something that you said in the math chapter You were talking about the joy of math, and you said when it comes to our children, caregivers: “take pleasure in reading stories together, especially at bedtime, which in many households is a regular part of a child’s routine. But somehow the notion of introducing math concepts to our children seems daunting. In fact, some studies have shown that parents harbor a strong belief that while it’s important and pleasurable to support their child’s reading skills, it’s the responsibility of the schools to take care of teaching math.” And that quote, I highlighted it, I starred it! And I would love for you to say a little more about that, because you have given us already, like, a bounty of ideas that as caregivers we can do with our kiddos or the kiddos in our lives. And we’ve seen that even what they’re learning in school, it may not be the freeing, joyful math language that we hope our kiddos have access to.

Dr. Rosemarie Truglio (30:05):
Yeah, I’m glad you brought that up. Because a lot of our focus is on how children learn through playful experiences, and how they learn through play in particular. And there are so many playing, either a game or even playing ideas—like we talked about building, you know, a house for animals or building a fort. It’s just so filled with math. And I wish I could narrate for every young parent how I would hope that they would talk as they are co-engaged in this activity. And I think … we asked about, with the anxiety, the adults have to find the joy in math first. They have to see the math. That’s the problem. That’s why I hope that my book provides that. I want you to know that you are doing math and I want you to know that your child is what we call a mathematician—or in the science chapter, is a STEMist. Your child is already doing science, technology, engineering, and math. STEM is so integrated. So to acknowledge them—because babies are doing math! Babies know, they can distinguish between a small quantity and something that is a of a larger quantity and want the larger. Right? So, it’s natural for them. And they are taking it all in. I mean, the joy of watching a child just early counting: you know, one, two. And trying to then figure out the meaningfulness of two. It’s not three objects. There are actually two. And for a parent to see the joy in that I think is step one. And then to see the richness and how expansive math is, and that power of, oops, “I made a mistake, don’t freak out,” and then [not] say, “See, I’m not good at math,” but say, “Let me try again. I know I could figure this out.” Right? It’s all of that supportive language and supportive experiences that builds this mindset, a positive mindset. So that you hope that when you get into the higher grades, they’re not walking in and saying, “I can’t, I can’t do math.”

Dan Meyer (32:26):
Yeah. Super helpful. I think you point at one of the grownups—great powers in the world of kids, which is to label. To name things. And you know, you’ve talked about how grownups should ideally downplay some of their negative experiences with mathematics for the sake of the kid, but also to play up the positive stuff that they’re doing as mathematics. Like that right there, that’s math. I would love to know … you have an extremely loud megaphone to communicate messages about math and the world and everything through Sesame Street. One of the biggest that there is—and I just wonder if you could step out and imagine you had a magic wand to wave over the world in which students grow up, play and learn—what would you do like to help students have better associations or less math anxiety? And, you know, learn more about math itself?

Dr. Rosemarie Truglio (33:19):
If I had a magic wand, I would give everyone what we call a growth mindset that nothing is fixed and everything can be changed if you put the time and effort into the process, and enjoy the process. The joy of learning. I think, you know, it’s really sad. I don’t wanna be sad on your show. But when we were getting ready for the 50th anniversary, I was wondering, “What is gonna be the curriculum focus?” You know, we just came off of literacy and math literacy and social-emotional development. And we talked about the power of play. Playful learning. And building careers. Give children sophisticated play scenarios so that they could explore what they may wanna be when they grow up. Because there’s a concept: If I can see it, I can play it, I can be it. Right? So where are those portrayals? And it’s like, “What are we gonna do for the 50th?” And I had a convening of experts across all disciplines, and brought them into a room. And I said, you know, “What keeps you up at night? Like, what are you worried about?” Sort of like the State of the Union of Child Development. And this is where the sad part is. They talked about how that sense of joy, that sense of wonder, that sense of curiosity, that sense of flexible thinking and creative thinking, was disappearing in early childhood. Wow. If it’s disappearing in early childhood, we are in big, big trouble . ‘Cause I could see it disappearing later on, you know, as you advance in grade. But what do you mean, it’s disappearing in childhood? And then they talked about the fear of making mistakes. And that goes against—it’s the opposite of a growth mindset. And so we have to bring back that sense of joy, wonder, asking those why questions and embracing them. So it’s another problem parents have. They’re fine with the “why” questions until the “whys” become so difficult they don’t have the answers. And then they don’t want the “why” questions, because now they feel like they’re not smart enough to answer their child’s “why” questions. How do I flip that around to be much more positive and say, “You know, I don’t know! But let’s find out together. Let’s explore together; let’s experiment together.” That’s what I mean about the shift in the mindset, that growth mindset. We should not know all of the answers, but where’s the joy of, “Wow, I don’t know, let’s go find out together”? And that applies to math too. But you have to have that open mindset. You have to—you, as yourself, have to have that growth mindset.

Bethany Lockhart Johnson (36:20):
I love that magic wand. I want that magic wand! And I think what—like Dan said about this megaphone, this opportunity to reach so many young people, so many caregivers—what a gift! And I’m so grateful that you took time to be in the lounge with us, and that you have shared these ideas. Because truly, I think, like you said, it’s really our youngest learners, right? How can we create and cultivate these opportunities for our youngest learners to find the joy in mathematics and just in learning, right?

Dr. Rosemarie Truglio (36:54):
Yeah.

Bethany Lockhart Johnson (36:55):
So thank you. Thank you so much, Dr. Truglio. We are deeply grateful for your insight and for all the work you do. And we continue to invite the world of Sesame Street into our homes.

Dr. Rosemarie Truglio (37:08):
Thank you. Thank you for allowing us to come into your home, and for you to re-learn with your child as you’re watching Sesame Street. Because it’s very much a parenting show, as it is for a child-directed show, because we are blessed to have these wonderful human cast members who are the stand-ins for parents. And so we are often giving you the language for how to talk about and how to problem-solve together. So thank you.

Dan Meyer (37:43):
Thanks so much for listening to our conversation with Dr. Rosemarie Truglio, Senior Vice President of Curriculum and Content at Sesame Workshop.

Bethany Lockhart Johnson (37:51):
Dr. Truglio is also the author of Sesame Street Ready for School, A Parents Guide to Playful Learning for Children Ages Two to Five, and we’re gonna make sure we put a link to that in the show notes because it is really, really a rich resource. I’m diving in. I have so many ideas bookmarked that I wanna try out with my kiddo.

Dan Meyer (38:09):
Yeah, it’s really exciting to see—like, for a classroom educator, I just kinda assumed that a lot of math learning happens in the classroom context. That’s my lens. So yeah, I loved reading the book and seeing all the different opportunities for parents for just out there in the world, in front of your house, at the supermarket. All the different opportunities there are for mathematical thinking, and then to think about how to bring that into some of those routines and ideas into the classroom, into formal schooling.

Bethany Lockhart Johnson (38:35):
Exactly. Exactly. Like Dr. Truglio said, the caregivers’s disposition about mathematics matters so deeply. Your teachers’ dispositions about mathematics, their beliefs, the way that you hear people talking about math, that impacts our learners. That impacts—like, as a student, that impacts what you think is possible for yourself. So I love this, re-educating ourselves about what math can look like out in the world, in everyday conversations. I don’t know. I really, really appreciated this conversation with Dr. Truglio.

Dan Meyer (39:12):
Same. Yeah. We’d love to hear what you folks think about the work. the book, her ideas. Definitely get in touch with us. Subscribe to Math Teacher Lounge, wherever you get podcasts. And keep in touch with us on Facebook at Math Teacher Lounge Community, and on Twitter at MTL show.

Bethany Lockhart Johnson (39:27):
Also, if you haven’t already, please subscribe to Math Teacher Lounge wherever you get your podcast. And if you like what you’re hearing, please leave us a rating and a review. It’ll help more listeners find the show. And while you’re at it, let a friend know about this episode, because you enjoyed it; they might enjoy it. On our next episode, we’re gonna be chatting with Dr. Heidi Sabnani and taking a closer look at best practices for coaching teachers to reduce their own math anxiety.

Dr. Heidi Sabnani (39:56):
One of the teachers that I worked with had done her student teaching with a teacher who had math anxiety and who never taught math. And so she entered her teaching career never having taught math before or seeing it taught.

Dan Meyer (40:10):
Thanks again for listening, folks.

Bethany Lockhart Johnson (40:12):
Bye.

Stay connected!

Join our community and get new episodes every other Tuesday!

We’ll also share new and exciting free resources for your classroom every month.

What Dr. Rosemarie Truglio says about math

“We all have to work together, because even though we are the experts [on curriculum and education], the real experts are the children themselves.”

– Dr. Rosemarie Truglio

Senior Vice President of Curriculum and Content, Sesame Workshop

Meet the guest

Rosemarie T. Truglio, Ph.D. is the Senior Vice President of Curriculum and Content at Sesame Workshop. Dr. Truglio is responsible for the development of the interdisciplinary curriculum on which Sesame Street is based and oversees content development across platforms (e.g., television, publishing, toys, home video, and theme park activities).  She also oversees the curriculum development for all new show production, including  Bea’s Block, Mecha BuildersEsme & RoyHelpsters, and Ghostwriter. Dr. Truglio has written numerous articles in child and developmental psychology journals and presented her work at national and international conferences. Her current book is Ready for School! A Parent’s Guide to Playful Learning for Children Ages 2 to 5, published by Running Press (2019).

A person with short dark hair, wearing a dark blazer and white top, smiles at the camera against a blue background with graphic elements, evoking the inviting atmosphere of a math teacher lounge and highlighting useful math teacher resources.
A laptop displaying a Facebook group page for "Math Teacher Lounge Community," featuring profile photos, a group banner, and geometric shapes in the image background.

About Math Teacher Lounge

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

S3-04: Using AI and ChatGPT in the science classroom

A graphic with the text "Science Connections" and "Amplify" features colorful circles and curved lines on a dark gray background.

In the latest episode of the Science Connections podcast, we explore AI in education and its impact on students. Listen as I sit down with teachers Donnie Piercey and Jennifer Roberts to discuss ChatGPT and how we can use it to build science and literacy skills in K–12 classrooms while preparing students for the real world.

And don’t forget to grab your Science Connections study guide to track your learning and find additional resources!

We hope you enjoy this episode and explore more from Science Connections by visiting our main page!

DOWNLOAD TRANSCRIPT

Jennifer Roberts (00:00:00):

If a kid graduates from school without knowing that AI exists, they’re not gonna be prepared for what they face out in the world.

Eric Cross (00:00:07):

Welcome to Science Connections. I’m your host, Eric Cross.

Eric Cross (00:00:12):

This season of the podcast, we’re making the case for everyone’s favorite underdog, science. Recently we’ve been highlighting the magic that can come from integrating science and literacy. So if you haven’t checked out those recent episodes, definitely go back in your feed after you’re done with this one. This time around, we’re going to deep dive into what artificial intelligence means for literacy instruction, and how science can be a force for good, in responsibly exposing students to AI. To help me out, I’m joined by two extremely accomplished educators. Jen Roberts, a veteran high-school English teacher from San Diego, who among many things runs the website LitAndTech.com. And I’m also joined by fifth-grade teacher Donnie Piercey. In addition to being Kentucky’s 2021 Teacher of the Year, Donnie also has an upcoming book about bringing AI into the classroom. Whether you’ve never heard of ChatGPT or whether you’re already using it every day, I think you’ll find this a valuable discussion about the intersection of science, English, and technology. Here’s Jen and Donnie.

Eric Cross (00:01:17):

So first off, welcome to the show. It’s good to see you all. What I wanna do is kind of start off by introducing both of you. And so we’ll just go K–12. So <laugh>, Donnie.

Jennifer Roberts (00:01:30):

Donnie goes first.

Eric Cross (00:01:31):

Donnie’s gonna go first. Donnie out in Kentucky. Just a little background. What do you teach; how long you’ve been in the classroom; and what are you having fun with right now?

Donnie Piercey (00:01:38):

Yeah, so my name is Donnie Piercey. I’m a fifth-grade teacher from Kentucky. Live and teach right here in Lexington, Kentucky, right in the center of the state. I’m the 2021 Kentucky Teacher of the Year. But I’ve been teaching elementary school for the past … I think this is year 16 or 17. It’s long enough where I’ve lost count, and I can’t even count on fingers anymore. My friends like to joke that I’ve taught long enough where now I can count down. You know, it’s like, “All right, only so many more years left.” But yeah, teach all subjects. Science definitely is one of the subjects that I don’t just try to squeeze into my day, but make sure that … it’s not even a devoted subject, but one that I definitely try to — don’t just have that set time, but also try to do some cross-curricular stuff with it. So definitely the rise of AI in these past few months, which feels like years by this point, has definitely played quite the role, in not just changing the way that I’ve been teaching science, but really all my subjects. So, excited to chat with y’all about it.

Eric Cross (00:02:47):

Nice. I’m excited that you’re here. And Jen?

Jennifer Roberts (00:02:51):

Hi, I’m Jen Roberts. I teach ninth-grade English at Point Loma High School, and that’s where I usually stop when I introduce myself. But for your sake—

Eric Cross (00:03:00):

I will keep introducing you if you stop there. <laugh>

Jennifer Roberts (00:03:04):

I am nationally board-certified in English Language Arts for early adolescence. I am the co-author of a book called Power Up: Making the Shift to 1:1 Teaching and Learning, from Stenhouse, with my fabulous co-author Diana Neebe. Shout out to Diana. I blog at LitAndTech.com about teaching and technology and literacy and the intersection of those things. And I’m looking forward to talking about how AI is showing up in my classroom and the fun things I’m doing with it.

Donnie Piercey (00:03:31):

And one of us is actually secretly a robot, and you have to guess which one.

Jennifer Roberts (00:03:35):

Have to guess which one. Yes. <laugh>

Eric Cross (00:03:37):

That would be super-meta. And you were the CUE — Computer-Using Educator — outstanding teacher or educator? Whatever. Either one. Of the year.

Jennifer Roberts (00:03:45):

I was the CUE ’22 Outstanding Educator. Yes. And I’ve won a few other things as well.

Eric Cross (00:03:53):

The gaming backpack.

Jennifer Roberts (00:03:54):

I’ve won a gaming backpack recently! Yes. I once won an iPad in a Twitter chat.

Eric Cross (00:03:58):

What?

Donnie Piercey (00:03:58):

What’s a gaming backpack? Hold on. We need to talk about that.

Jennifer Roberts (00:04:01):

We will talk about that. <laugh> And then, I was once a finalist for county Teacher of the Year. That’s as close as I got to Donnie. Donnie was the Kentucky Teacher of the Year. He got to go to the White House and stuff. That was exciting.

Donnie Piercey (00:04:13):

<laugh> I mean, to be fair, there’s only three million people in Kentucky, and about what, 50 million people that live in California? <Laugh> So odds are definitely stacked in my favor, I think.

Jennifer Roberts (00:04:23):

So you’re saying we’re even there? Is that, is that what you’re going for?

Donnie Piercey (00:04:25):

Yeah, evens out. Evens out.

Eric Cross (00:04:27):

So I’ve been looking forward to talking to you both for a while now, and talking about artificial intelligence. It’s like the big thing. And both of you, at different ends of the spectrum and in my life, have contributed to this. Donnie, you’ve been sharing so much great information online about how you’re using AI in elementary. Jen, you are the reason I got into education technology years ago, right when I was becoming a teacher. And so being able to talk with you both about it excites me a lot. So first off, for the listeners who may not have any experience with it — and there’s still a lot of people out there who have not been exposed to it, haven’t got their feet wet with it yet — I’m hoping we could start off maybe with an explanation of … we could do AI, ChatGPT, I know that’s the big one. But simply explaining what it is, just for the new person. And whoever wants to start off can tell us about it. Or maybe we’ll start … we’ll, let’s actually, let’s do this: Let’s continue going like K–12? So Donnie, maybe you could … what’s your pitch to the new person of, “Hey, this is what it is”?

Donnie Piercey (00:05:31):

All right. So, AI, artificial intelligence, probably the way that most people are exposed to it, at least since November when it launched, is through ChatGPT. Where if you Google it, you know it’s made by a company called OpenAI. The best way to describe what it is … when you go there for the first time, make an account, it’s free. You have like a little search window, looks like a Google search bar. And instead of searching for information, you can ask it to create stuff for you. So for example, like on Google search, you might type in a question like, “Who was the 19th president of the United States?” Where on ChatGPT, instead of just searching for information, it creates stuff for you. So you could say, you could ask it to, “Hey, write a poem about the 19th president of the United States.” Or, “Write a short little essay comparing, I don’t know, Frederick Douglass to Martin Luther King Jr.” And it would do that for you. You know, that’s most people’s first exposure to AI, at least in these past few months. Instead of … you know, it’s artificial intelligence, but it’s not just chatbots. There’s lots of other AI that exist out there.

Jennifer Roberts (00:06:47):

And I think that’s the thing: that people don’t realize how much AI is already in their lives.

Donnie Piercey (00:06:51):

For sure. Yeah.

Jennifer Roberts (00:06:52):

You know, they just haven’t seen … the term that I see being used a lot now is “generative AI.” AI that can produce something. It can produce writing, it can produce art, it can produce a script, it can produce a character. But the AI that has been helping you pick what to watch next on Netflix and the AI that’s helping Google help you get where you wanna go on Google Maps faster, those are forms of artificial intelligence as well.

Donnie Piercey (00:07:21):

Yeah. I mean, even those, when you get that that message in Gmail, and instead of having to type out that response that says, “Yeah, that sounds great,” you can just click the little button that says, “Yeah, that sounds great.” I mean, that’s been in Gmail for years, but that’s artificial intelligence too.

Eric Cross (00:07:39):

Absolutely. So why is it important, do you think, for educators to, to be familiar with it? Like, why are we all so excited about it?

Jennifer Roberts (00:07:47):

So, educators need to know what kids are into, and kids are obviously into ChatGPT. And anyone who’s an educator right now has probably already had something cross their desk — or more likely their computer screen — that was written by AI and passed off as a student’s own work. And that is, of course, the great fear among teachers everywhere, that this is what kids are just gonna do these days and they won’t be able to catch it and children won’t be doing their own work and this and this. But I think the big reason teachers need to know what’s going on is because teachers need to be futurists. Our clientele will live in the future. We teach kids, kids will become adults, adults will live in the world. And so if we’re not thinking about and trying to predict on some level what’s gonna happen 5, 10, 15 years from now … we might be wrong, but what if we’re right?

Jennifer Roberts (00:08:38):

And if we’re not at least trying to think about what is their future world gonna look like, then we’re not serving our students well. I did a whole night talk on that. So I think ChatGPT is part of that. I teach seniors. I had this moment of realization I felt a few months ago. I’m like, “This is gonna be the world they graduate into. They need to know what this is before they leave me.” If I don’t teach them how to use this well, and not the way they’re using it — which is to copy and paste the teacher’s assignment and drop it into ChatGPT and take whatever it spits out and turning that in without even looking at it — if I don’t teach ’em how to use it critically, if I don’t teach them how to write effective prompts, if I don’t teach them how to use the AI as a tool, as a collaborator, then they’re gonna graduate into a world where they lose out to people who do know how to do that. And I think the advantage goes to kids who have access and knowledge of what’s in front of them and what’s available, and can use all of the tools at their disposal. Because when you’re writing in school and you write with a collaborator, that could be considered cheating. But when you do that out in the adult world, that’s considered doing a good job. <Laugh> Being a team player. <Laugh> You know, adults don’t work alone for the most part. And adults are expected to churn out beautiful, perfect content no matter how they got there. So if I’m not teaching my kids how to use this, they’re not being ready. They’re not gonna be ready to be the adults that I want them to be.

Donnie Piercey (00:10:07):

A hundred percent agree. And I also believe … as you know, I teach elementary school. I also don’t think anybody is saying that on the first day of kindergarten, you hand a kid a Chromebook and load up an AI chatbot or ChatGPT and say, Hey, this thing’s gonna do all your work for you for the next 12 years; just coast through life. You don’t have to think creatively. You don’t have to learn how to develop a paragraph or learn how to write a speech or develop an idea. Like, I don’t think anybody’s saying that, because as an elementary school teacher, there’s many days when I’m like, “Y’all, we’re just putting the Chromebooks away today and we’re just gonna go old-school. We’re just gonna maybe just jot down five quick ideas and stand up and present those ideas to the class.”

Donnie Piercey (00:10:54):

Because while AI definitely will, like you were saying, Jen, play a significant role in the lives of our students who are, not just graduating, but the 10- and 11-year-olds in my classroom this year. A significant role in their lives. It’s also really important to recognize that we’re not saying that this means that “Hey, kids don’t have to work anymore.” They still have to put forth that effort. There’s still — one of the ways that you become a good writer is by trial and error. And sometimes that trial and error comes through talking to a teacher or talking like you were saying to a peer or collaborating with a peer and saying to them, “Well, this sentence here, this paragraph here, really doesn’t make sense.” And I do believe one of the ways — especially as AI starts to become more fine-tuned and starts to be embedded more and more in tools like Google Docs and Microsoft Word — is it’s almost going to be a tutor to students.

Donnie Piercey (00:11:56):

Mm-hmm. <affirmative> Where I could very easily see in a few years, or maybe a few months, who knows what Google or any of these other big companies has rolling out, where a student could highlight a paragraph that they wrote simply, and then say, “Hey, proofread this for me,” or “Check for coherence.” Or even just ask a simple question: “Does this paragraph make sense?” Because you can already do that. You can copy a paragraph over into a chatbot and say, “Hey, does this make sense?” You know, “Rate my idea from one to 10,” and it’ll do that for ’em.

Jennifer Roberts (00:12:26):

We did that last week <laugh>.

Donnie Piercey (00:12:28):

Yeah. Right. I mean, that’s the thing. That technology exists now. It’s just not totally embedded yet. But based on what I’ve read and what I’ve seen, that’s gonna happen sooner rather than later. And it’s really, really important that we teach our students that, “No, you’re not just gonna use this, this tool to cheat, but you can use this tool to help you become a more creative student.”

Jennifer Roberts (00:12:50):

This is the use case in my classroom. Can I talk about that? You ready for that?

Eric Cross (00:12:53):

Please.

Jennifer Roberts (00:12:54):

OK.

Eric Cross (00:12:54):

Please.

Jennifer Roberts (00:12:55):

So my ninth graders are writing a comparative analysis essay, where I took them to the student art gallery and I made them pick two pieces of completely unknown student art and take notes on it, so they could go back and write this essay. And as soon as we got back to class, I said, can ChatGPT write this for you? And they all kind of froze ’cause I didn’t tell them what ChatGPT was. And they weren’t sure if they were allowed to know or not. And finally one of them kind of bravely raised his hand and said, “No.” And I said, “Why not?” And he said, “Well, the AI hasn’t seen the art. How can it write an essay about art when the art is completely original that we just went and looked at?” I said, “It’s almost like I planned it that way, isn’t it?” And they laughed nervously. And then I said, “Does that mean it can’t help us with this assignment?” And they said, “Well, no — of course it can’t help us, because it has not seen the art.” And I said, “Well. …” And I open ChatGPT, and I typed in what they were trying to do: “I need to write a comparative analysis essay comparing two pieces of student art on these reasons. And I need to choose which one did it better, basically. Can you help me with an outline?” and ChatGPT produced a lovely outline. And I looked at that with my students and we looked at it together and I said, “This is what it gave us. Would this be helpful to you?” And they’re like, “Yeah, that would be helpful to us.” So we — to be clear here, I was the only one using ChatGPT in the room. They were not actually using it. We were using it together. I copied and pasted the outline that it gave us and put it in their learning management system where they could access it so they could use the outline that the robot provided, and then they could use that to make their own writing better. So then I let them write for a little while, and, after they’d written for a little while, I said, “Does anybody wanna let me share your first paragraph with ChatGPT and see what it thinks of how you’re doing?” And a brave student raised his hand and we took his paragraph and we put it in ChatGPT, and it spit back advice. We said, “This is what I have so far for my first paragraph. Do you have any advice for me?” And we gave it the writing, and the first piece of advice it gave back was very generic, you know, “Add a hook,” you know, like kind of thing. But after that, it started to get more specific about things he was actually doing in his writing. And it started to give him some feedback. And we looked at that together as a class. And I said, “Does any of that feedback help you?” And he said, “Oh yeah, absolutely. I’m gonna go add some revisions to my paragraph.” And other students did too. They looked at the feedback he got and used that to improve their writing. And so everybody went and revised. And I said, “Look, if you take what the robot gives you and you copy and paste it, and you turn it in as your own work, it’s gonna get flagged for plagiarism. And that’s not gonna go well. But if it gives you writing advice the same way I would give you writing advice, and you decide that advice is good, and you take that advice and you incorporate it into your own writing yourself, then the robot’s making you better, but you’re still the one doing your own writing.” And the writing they turned in from that assignment was, was better. It wasn’t written by ChatGPT; it was still about the student art that they found in the gallery. But I showed them a path. Like, it can help you with an outline, it can help you with feedback. Right? These are fair ways to use it that’s gonna make you better. And they really liked that. They really liked — no one had shown them that before. The idea that you don’t just take the teacher’s prompt and give it to it … like, these are new uses to students and worked well.

Eric Cross (00:16:17):

So right now, you both just laid out these ways that you’re using it. And I do this with people that I’m trying to introduce to ChatGPT or AI. ‘Cause I get excited. Anyone could write a 500-word persuasive essay on the use of color in The Great Gatsby or The Outsiders, and they can get something back within seconds. But for a lot of educators, it might feel like the sky is falling.

Donnie Piercey (00:16:43):

Oh, understandably! Understandably. I mean, that totally makes sense.

Eric Cross (00:16:49):

What would you say to them? Donnie, go ahead.

Donnie Piercey (00:16:51):

Yeah. Well, I feel like every teacher kind of goes through the same experience when they see like a generative chatbot. I mean, all these major companies are gonna start incorporating AI, the generative AI piece. And a lot of times, when they see it for the first time, two things. First they’ll say “Oh, but I’ll know that that’s not my students’ writing.” Which, frankly, I think is a good thing, because that tells me that the teachers know their students’ writing. They’ve seen them write in person. They’ve conferenced with them one-on-one. And if a student were to turn something in to me, who I know might be a struggling writer, maybe it’s not their strength, and all of a sudden they’re turning in this10-page dissertation-worthy thesis written at a PhD level, I’m like, “All right, man, you’re nine. Can we talk about where this came from?” <laugh> But I also don’t think that at like the heart, I don’t feel like kids want to cheat. I really don’t. I feel like sometimes like kids are in a situation where they’re like, “OK, I’ve got nothing left. I gotta get this assignment done.” And when those kind of things happen, that’s when we as teachers, we have those one-on-one conversations. Even when I showed my students ChatGPT and even some of the AI image-generating stuff for the first time, and I talked to them about, “What do y’all think about this?” Because, you know, they’re under 13. In my district, ChatGPT is blocked for students. Staff, we have access to it. And that’s just because one, it’s so new, and at the same time, we need to figure out, “What’s the best way they can go about using this tool?” But when we were talking about it as a class, you know, I didn’t want to ignore the elephant in the room. So I asked them, I said, “Hey, do you feel like this is something that you all would use to. …” I mean, I used the word. I said “cheat.” And to be honest, the majority of the students in my class, they were taken aback. They’re like, “What? You think we just would cheat all the time?” Right? <Laugh> And I’m like, “Oh, well good. I’m glad to know that integrity is still alive and well.” But yeah, that’s definitely my thoughts on it, as far as not only the student integrity piece — I think that that’s the big thing that you need to just bring up with your students. Because again, I like to think that I’ve seen my students write enough that if they were going to turn something in that wasn’t their voice, or it didn’t sound like them, like I could have that conversation. And don’t be surprised, too, if in the next … I don’t know, one month to a year, there’s lots of AI detectors that exist. A lot of them are these like third-party things. You can go ahead, but I would not be surprised if in the next year or so, like you start to see those AI detectors be built into Google Docs, into Microsoft Word, into even Canva. And honestly, it’s almost like a fail-safe button for teachers, that we could say “All right, this is telling me that this is 99% probably written by AI.” So you can have that conversation with a student that way.

Jennifer Roberts (00:20:03):

I mean, if you’re worried about it, Formative, right now, will even tell you if something is copy-and-pasted into the boxes that they give you for students to write in. I find that kids who cheat are desperate, you know. Especially at the high school level. They’re panic mode. And, and usually their panic comes from, “I have no idea how to even start this assignment.” And so part of what I wanna use ChatGPT for is to lower that barrier for them. Like, you’ve got an assignment, you don’t know where to start. Tell the robot, tell ChatGPT, about the assignment and ask it for a list of steps. You know, ask it for an outline. Ask it for a time management plan. I see so much tremendous potential for this to help many of my students with IEPs who have executive functioning issues.

Donnie Piercey (00:20:49):

Oh, a hundred percent, right?

Jennifer Roberts (00:20:51):

Yes, a hundred percent. This can be their personal assistant who, you know, instead of me sitting with them one-on-one and saying, you know, “This is the task you need to do, let’s break it down into these six discrete chunks,” the artificial intelligence can do that for them. And it can do that for teachers too. <laugh>

Donnie Piercey (00:21:09):

Jen, I was just thinking about, how long until we see like the phrase artificial intelligence written onto a student’s IEP? I could see that happening very, very soon.

Jennifer Roberts (00:21:20):

Right? They should be able to use that. And then, also, of course, all of its amazing beneficials for teachers. I had to completely rewrite a unit of my curriculum. I knew what I wanted to do. I had some ideas of things I wanted to put in there. And I resorted to, I went to EducationCopilot.com and typed in my stuff that I had: You know, what standards I wanted to cover, what outcomes I was hoping for mm-hmm. <affirmative>. And it generated an eight-week unit for me. And I actually told it then to go back and do it as a 12-week unit so that I’d have more stuff in there to go and cherry-pick to decide what I really wanted to do. But it gave me ideas. It gave me places to start. It saved me an hour of just brainstorming. And I don’t think that was cheating. I still got to go in and decide which ideas were valid. And I still got to … you know, I mean, I’m a teacher. Can I get accused of cheating? I don’t think that’s a thing. It’s—

Eric Cross (00:22:18):

That’s collaborating! It’s collaborating!

Donnie Piercey (00:22:20):

Collaborating! It’s a feature! It’s a feature.

Jennifer Roberts (00:22:22):

It’s Tony Stark talking to Jarvis. You know, they’re figuring it out together.

Donnie Piercey (00:22:26):

Oh, when you use the AI, Jennifer, do you call yours Jarvis? In my class we call him Jeeves. ‘Cause remember Ask Jeeves?

Jennifer Roberts (00:22:33):

I think Eric calls it Jarvis.

Eric Cross (00:22:35):

Yeah. Jarvis is gonna be the AI’s name when, when I can get that fully functioning. There are some things that you had said, I just wanna circle back on. Donnie, Jen — so what I heard was like, best intentions. The part you said about integrity and students wanting to cheat … even the mindset that we go in assuming our students, what they would want to do and assuming best intentions, really kind of frames how you look at this kind of technology. And then Jen, you kind of brought up why students cheat, and realizing that either they don’t feel equipped, or maybe it’s time management, or something else. But most people — and I believe this as an educator — most students want to learn, and they want to be able to perform and achieve. And when they cheat, it’s because they didn’t feel like they could, for whatever reason. Whether it’s it’s outside factors, whether it’s something internal, motivation, whatever it is.

Jennifer Roberts (00:23:24):

Or they were very disconnected and just didn’t care.

Eric Cross (00:23:27):

Sure.

Jennifer Roberts (00:23:27):

This is just busy work the teacher’s giving me, so I’m gonna give it very little of my time and energy. But I think, yeah, it can be that. But if the kid cares about it, if they wanna learn, they wanna learn, you know?

Eric Cross (00:23:40):

Right.

Jennifer Roberts (00:23:40):

This is the day of the internet. Any kid can learn anything they really want to learn. And we see that all the time in our classes. The kid who has zero interest in what I’m teaching in English, but he is an expert coder, and that’s what he wants to spend his time learning. He’s like, “Can I read this C++ book as my independent reading book?” And I’m like, “You know, actually, you can. Go ahead.” <Laugh>

Eric Cross (00:24:01):

Yeah. And for both of you, saying that this makes content more accessible … and I think Donnie, or Jen, you said something about IEPs. I actually put in having it write an IEP to see what would happen. I gave it a prompt for a student’s ability level and I asked it to create a plan. And then I asked it to create a rationale. And it did! And it was good! I went through and vetted it. And right now … you know, a lot of it is funny, ’cause the conversation I’m having with different teachers is kind of like the Wikipedia one. Remember when Wikipedia first got out and everyone was like trying to discourage everybody from using it, because, well, it could be changed by anybody? And now everyone’s like, “Oh, check Wikipedia, and then steal the sources, ’cause they’re already done for you.” Like, the mindset has shifted since then. And I was talking to someone and they said, “Well. …” And I said, “We can use AI, it could be a tutor, these other things. …” And they said, “Yeah, but what happens?” And then insert apocalyptic scenario. Like, what happens if you don’t have access to wifi? And it reminded me of, for some reason, cooking classes. So in the 1700s you probably had to be able to farm to be able to generate your food. Right? Like, you had to get it from somewhere. But if you take a culinary class now, you just go to the grocery store. And someone might say, “Well, but you should know how to farm, ’cause what if there was this worldwide apocalypse and nobody could go to the grocery stores?” <Laugh> And you’re like, “Well, balance of probability though.” You know, it’s like we’ve been really been living in these iterations of life, and I think this next step for some folks … like, we don’t even realize, even like something like bank statements, right? So many folks are paperless. And there’s always a what-if scenario. What if you need it and the internet goes down. But we get so used to to to technology advancing and making our lives different. This kind of seems like that next iteration. And I wanna ask you this question: Are we looking at like the next calculator? The next internet, with this tech? Or do you think it’s too early to say?

Donnie Piercey (00:26:01):

Well, I’ve seen a lot of people compare ChatGPT to a calculator. I’ve seen that pop up on social media. There’s, “Oh well, no, this is like when the calculator was invented. Everyone was up in arms about how ‘that’s not what math students should do.’ Math should be pencil and paper, math should be this.’” However, you can give a kid a calculator and you can give ’em a word problem and they can punch in all the numbers, but they could do the wrong operation or they could put the decimal point in the wrong place, ’cause the student is still the one who’s controlling what’s on the calculator. Where with AI, all you gotta do is just copy it and then paste it into the bot and it’ll spit out whatever the question asked it for. Whether it was, you know, a 500-word rationale or proof for something in geometry, or if it’s analyzing data on a chart, it’ll do all that.

Jennifer Roberts (00:27:00):

Yes. But it’s not that magical. It’s back to what Eric did with the IEP. He put in a prompt and then he knew enough to ask for a rationale and then he knew enough about IEPs to critically read the results he got and make sure they actually worked for what he needed. He had to know all that. He was an expert using it to do an expert thing. My husband’s a computer scientist; he got ChatGPT to help him write an app, and it was a new programming language to him, and he could put in the data and he could ask for things that I would’ve never thought to ask for. But because he knows the language of computer science, he knew what to ask for. And when it gave him results that were bad, he could see that, and he could say, “Yes, but do it again, but without this,” or “make this part more efficient.” He, again, knew what to ask for. So I think the generative AI is, as a partner with humans, a powerful thing. But if the human doesn’t know what they’re doing, yeah. You’re still not gonna get great results.

Donnie Piercey (00:28:03):

<laugh> And I think that’s why I’m coming at this from the elementary school perspective, right? Because in K–5 students are still learning, like, “Hey, where does the decimal point go?” They’re still learning, you know, if you’re dividing by a two-digit number, where does the first digit go, if you go in the old long-division algorithm? And so they’re still acquiring that base-level knowledge that … I don’t know, maybe this is similar to in Jurassic Park when Jeff Goldblum says, “It didn’t take any knowledge to attain,” you know, “they stood on the shoulders of geniuses,” that whole thing. Like they had to acquire the knowledge for themselves, was his whole point. And so that’s why I don’t think it’s exactly the same as the calculator. It is definitely going to change things, in a similar way that the calculator did. But to me it’s just a whole new animal. And I don’t know if it’s going to be like the next internet, Eric — if you’re gonna get little devices that have AI built into it, like a Star Wars kind of thing, like a droid or something that follows you around — all that would be kind of cool, not gonna lie. But whether it’s something that you’ll access through the internet, something that’s built into your TV, that part I don’t know. But I do know that there’s a reason why all of these apps and all these companies are investing so much — not just energy, but time and money into it. Because they’re recognizing. “OK, this really has the potential to change things.” But if used well, and used safely, to change people’s lives for the better.

Eric Cross (00:29:41):

So I definitely hear that you both agree with the statement that if AI ChatGPT was used in the classroom, it could be a force for good. And literacy development. And I wanna shift gears a bit and then come back to the AI. So with that said — and we’re gonna get into some best practices in a minute — in Science Connections right now in this season, we’re making the case for how science can do more in classrooms and in schools. And so I’m I’m curious about what both of you think about the role in science fostering a better future when it comes to AI and education. And this season we’re really talking a lot about literacy. You know, in schools, so often it’s taught in a siloed way. And Donnie, you’re doing multi-subject. Jen, you’re single-subject: English. And we’ve really been trying to make this case for how science can actually support literacy, and these skills that students are trying to develop. So we’re going a little old-school, kind of diving into your content specialty, but maybe even pre-AI, or maybe AI has a component in this. But Don, maybe we’ll start with you. How has science been a way that has been helpful for your own literacy instruction? I know you do a lot of science, because I see your Google Earth stuff and the thing you did with the solar systems back in the day. And I think —.

Donnie Piercey (00:30:54):

Oh my gosh! You remember my <laugh> … wow.

Eric Cross (00:30:58):

That was amazing!

Donnie Piercey (00:31:00):

We haven’t done that since the pandemic. But I had my students go out, and using Google Earth, we built a scale model. Each of the students partnered up and they planned out on Google Earth a scale model of the solar system. They picked an object from around their house and we talked about like, “Don’t pick something bigger than a beach ball, or else, you know, your Neptune’s gonna end up like 10 miles away.” But you know, they just picked like a small ball, like a basketball, soccer ball, something like that. Or football, for international friends. And then we calculated the size of every other planet. And then on Google Earth, using their front lawn as where the sun was, then we went and we calculated where other planets would be, and then we actually drove to those locations and like held up the objects that would represent Neptune, Jupiter, Saturn, and all that. But it was a lot of fun.

Eric Cross (00:31:59):

And is that still accessible? ‘Cause I know you have some websites that you put resources out there.

Donnie Piercey (00:32:03):

Yeah. Yeah, I can … I wanna say on my Resources page — Resources.MrPiercey.com — I’ve got a link on there to a couple of student examples that I can share. And if not, when we get off this call, I’m gonna go on and put them on there <laugh> so people can find it. I’ll even throw on there just the assignment itself. So if you wanted to copy that and do that with your students, you could.

Eric Cross (00:32:27):

Donnie, the reason why I brought that up is because I saw that you had posted that or shared it a long time ago, and I just thought it was the coolest thing that you could totally do with middle-school students or high-school students. Jen, when I became a teacher, you said, “We’re all teachers of literacy.”

Jennifer Roberts (00:32:43):

<laugh> Yeah. I think we forgot to tell them that I was one of your professors.

Eric Cross (00:32:47):

Yes. <Jennifer laughs> One of the people who’ve definitely influenced and shaped my teaching. And that statement has never left my mind: that we’re all teachers of literacy. And I want to ask you, at the high-school level, how can science educators, or how can science — how have you seen it, or how does it, support literacy, when it’s done right?

Jennifer Roberts (00:33:09):

Like I said, I think we’re all teachers of literacy, but I think literacy is bigger than just reading and writing. I don’t think someone is literate if they can’t talk somewhat knowledgeably about what’s happening with climate change. I don’t think someone’s literate if they don’t know what’s going on in the world. And I think so much of what’s going on in the world has to do with science. We’re doing that all the time. If I could teach English just by giving kids articles about science, things to read, that would make my day. Right? We would never read another piece of fiction again. It would all be, you know, what’s happening to the ice sheet in Greenland. My students thrive on reading non-fiction. And then whenever that non-fiction touches on science is even more interesting. And whenever I can get them writing about data, particularly their own data that they collected, I think that’s building those science literacy skills as well. So I think science and English blend together very, very well. I think the literacy aspects of that are fantastic. There are more subject-specific vocabulary words, advanced vocabulary words, in science than any other discipline. And I don’t see why those shouldn’t come up in English as well. You know, my seniors will do a unit at the end of the year on the new space race. Unless I replace it with a unit about generative AI, which I’m seriously considering doing, ’cause I think they really need to learn about bias in AI algorithms and things like that. And I would like to have them read a whole bunch about that stuff. And I wanna give them the open letter that all those CEOs signed that said that AI research should slow down, and make them part of that live conversation about what’s happening in that field. So science comes into that. You know, when we read Into the Wild, we start talking about a whole bunch of scientific concepts. And when it rains in Southern California, we pull up weather maps and look at radar and talk about that and how that works.

Donnie Piercey (00:34:59):

That’s like once every 10 years, Jen? <Laugh>

Jennifer Roberts (00:35:02):

Well, actually, this year it rained a lot. It rained a lot in San Diego. Which is actually very high-interest for them. ‘Cause they wanna know, is it gonna be raining at lunchtime?

Eric Cross (00:35:12):

Jen, you said something … you have your students writing about data?

Jennifer Roberts (00:35:16):

Oh yeah.

Eric Cross (00:35:17):

Can you tell me more about that?

Jennifer Roberts (00:35:19):

So, this is something we’ve done with the ninth grade team for a long time now, is writing about their own data. So it started with a unit about stereotypes and stereotype threat. And they would collect data individually and then they would enter that data into a Google form and then we would give them the spreadsheet of the aggregate data from the whole ninth grade. And then we morphed that unit into one about academic honesty, and they filled out a survey at the beginning of the unit about their feelings about academic honesty and about experiences with academic honesty and cheating and homework and things like that. And then we would do the unit. We’d do all the readings in the unit. And they’d have these “aha” moments about things that were happening at other schools. And then at the end of the unit, we would give them back their own aggregate data and ask them to write about whether or not academic honesty was an issue at our school. And then to support that answer with evidence from their own dataset. So they had that spreadsheet to comb through and figure out, you know, where am I gonna stand on this? We give them the multiple-choice questions we gave them as the graphs, in Google Slides, so that they could write about them and talk about them, too. So yeah, getting kids to write about data. And the the sentence frames we gave them were sentence frames out of, They Say, I Say, from the chapter on writing about science. And <laugh> as they write this stuff, they’re like, “I feel so smart writing this way.” And I’m like, “I know, ’cause you’re writing about big important topics!” Right? And writing about their own data come to think of it is another great way to make an assignment both very personal to them, but also make it ChatGPT-proof, you know, if you’re looking for something that kids can’t just hand to the robot, the robot doesn’t have that data set.

Eric Cross (00:37:08):

Absolutely. And Donnie, at the elementary level, do you, do you make connections between science and literacy? In your class? You talked about with math, definitely with the solar system, but now, I’m curious, what are your newer projects? What have you been working on lately?

Jennifer Roberts (00:37:23):

What’s up now, Donnie?

Eric Cross (00:37:24):

Yeah, what are you doing?

Donnie Piercey (00:37:25):

Oh, man. Well, let me think. I’m just trying to think of some fun projects that we’ve done this year. Science that we can tie in Literacy and also some student creation. Just recently we had a … so I’ve wanted to expose my students to famous scientists that weren’t just white dudes from Europe. So for this year, what I did — and I actually used AI for this — I went into ChatGPT and I asked for 64 famous scientists and it listed them all off. And then I asked it, like, how many of these were white? And I think it said like 61 of them. You know, it had like Neil DeGrasse Tyson, and a couple of other … I didn’t know who they were. So I’m like, “All right, so we need to make this more diverse and make this more equitable.” ‘Cause you know, with the student population in my classroom, try to find equal representation to make sure they can see themselves in some of these scientists. So, eventually got it narrowed down to where I had about 64 scientists. Half are women, half are men from all continents except Antarctica. I assigned these scientists to my students. Some got two; some got three. And their assignment was to go and one, do some individual research on this person, find out what they were famous for, what they were most well-known for, turn it actually into a persuasive piece, where I said, “Hey, you’re gonna have one slide.” And I’ll tell you why I gave him one slide in a minute. On that one slide, you’ve gotta convince the person who sees it that this scientist is the most important scientist since the dawn of creation. I said, “You could use images, text — I don’t care if they were famous for something that you didn’t even understand what it was. It’s a persuasive piece. You’re 10. Go all out. Add gifs, do that whole thing.

Eric Cross (00:39:21):

This is awesome.

Jennifer Roberts (00:39:21):

I wanna do this project.

Donnie Piercey (00:39:23):

And if you picked up on the number 64, and I did this in March, so what we did was throughout the weeks of March Madness of the women’s and men’s NCAA tournament, whenever a game was going on, we had another round of voting. I just paired ’em up. I was gonna like seed them, like 1 to 64 — that’s just way too much work for me <laugh>. So I just kind of did random kind of thing. But all the students had to do — they just saw the slides side-by-side, and the only question they had was, “Based on what you see here, who is the most important scientist? This person or this person?” And it eventually came down to Carl Sagan going up against Marie Curie.

Eric Cross (00:40:04):

OK, that’s a good matchup.

Donnie Piercey (00:40:06):

Yeah, well, the Marie Curie slide, they just liked the radium piece. So they added like some green glowing gifs. And I said, “Guys, it doesn’t always grow glow green.” But whatever. Anyway, eventually Carl Sagan, in case you wanted to know, according to the 10-year-olds in my classroom, is the most important scientist in the history of the world. So I don’t know if I agree with that per se — I think maybe Newton or somebody else might have had something else to say about it — but fun assignment. It was a unique way to expose my students to a bunch of ideas. I remember the student that I assigned Newton, the only thing that that she knew about Isaac Newton was “Didn’t he get hit in the head with an apple?” And I said, “Well, not exactly, I think you might have read or maybe seen too many like old-school cartoons or whatever.” But she ended up doing some research. She’s like, “Oh, I’ve heard of that before! That equal and opposite reaction thing.” Didn’t know what it meant. I had another student that just got really … you know, if you’ve ever been on one of those YouTube kicks where it’s just, you go like nine levels deep onto like, “What does this theorem mean?” Student sits in back of my classroom, I walked by one day and he’s just watching something on like the fifth dimension and what it might be. And I said, “Oh, your scientist got you started on that.” So definitely was a lot of fun. Unique way to combine reading, writing, but also expose my students to some ideas. And we’re definitely gonna do it again. I’ve actually done this assignment before. I picked 64 random elements on the periodic table. But their only slide that they have to make is “What’s your element? What is it used for? And then, why is this the most important element since the dawn of creation?” <Laugh> And, you know, there’s always that student that gets hydrogen. They’re just like “Sweet!” Right? They get excited about that one. <laugh>

Eric Cross (00:41:59):

Explosions.

Donnie Piercey (00:42:00):

Yeah. But then, for that kid who likes a challenge, or that student with the “gifted” label, you give them, like, einsteinium or palladium. Some of the more challenging ones. And they go all out with this. I didn’t use AI for that one, but it was kind of fun, and I figured it’d be neat to share an idea that another teacher could try.

Eric Cross (00:42:20):

Well you probably have at least two teachers right now that are gonna go and try that. And we’re both looking at you. So.

Donnie Piercey (00:42:24):

Go for it.

Eric Cross (00:42:25):

Thanks for that idea. I’m imagining my students coming in with jerseys with “neon.”

Donnie Piercey (00:42:29):

Oh yeah. <laugh>

Eric Cross (00:42:30):

“Neon” on it. Just all ’80s out.

Donnie Piercey (00:42:33):

The game behind it, too, is you tell kids — again, this is just so the 10-year-olds in my class don’t get their feelings hurt — but I say, “Hey, and if your element gets knocked out, you just have to start cheering for whoever beats you in the tournament.” So by the end, you kind of got half the class cheering for one and half the class cheering for whatever.

Jennifer Roberts (00:42:53):

So the only thing I got outta that whole story that I’ve got for you is, as a child I met Carl Sagan. That’s all I got.

Donnie Piercey (00:43:02):

For real?

Jennifer Roberts (00:43:02):

For real.

Donnie Piercey (00:43:03):

So did he talk with that cadence and tone?

Jennifer Roberts (00:43:06):

Yes.

Donnie Piercey (00:43:06):

Like in real life? Wow.

Jennifer Roberts (00:43:07):

Yes. My father was one of the cinematographers on the original Cosmos. And I got to go to the set a few times.

Donnie Piercey (00:43:14):

That’s incredible!

Jennifer Roberts (00:43:15):

I did not appreciate what I was seeing as a child. But as an adult, I’m like, “That was cool. I was there.”

Donnie Piercey (00:43:20):

“You can see my shadow off in the distance.”

Jennifer Roberts (00:43:23):

I mean, maybe that’s part of why I’ve always had an interest in science. I’ve always had fantastic science teachers. Every science teacher I ever had was amazing.

Donnie Piercey (00:43:31):

I credit mine to Mr. Wizard. I don’t know if you ever watched Mr. Wizard and Beakman’s World?

Eric Cross (00:43:35):

I remember Mr. Wizard. Yep. Yep. I definitely remember Mr. Wizard, Beakman’s World, all those. That was on Nickelodeon back in the day. I had to get up early to watch that one. But there’s a YouTube video—

Donnie Piercey (00:43:44):

Six am!

Eric Cross (00:43:44):

<laugh> It was! It was super-early! But there was one, Don, I don’t know if you’ve seen this on YouTube, but it said “Mr. Wizard Is Mean,” and it’s just clips of when he’s—

Donnie Piercey (00:43:56):

Yelling at kids!

Eric Cross (00:43:56):

Chastising. Or being really direct. It’s just one after another.

Donnie Piercey (00:44:02):

He always asked ’em a question and if the kid, you know, didn’t answer it right, he’d be like, “Well, you’re not right, but you’re wrong.” You know, whatever. <Laugh>

Eric Cross (00:44:14):

I have to make sure I’m not subconsciously saying Mr. Wizard quotes when I’m talking in the classroom, when things are happening. But yeah, that video’s hilarious. So I just want to bring us back to AI, and ask this question: Do you think science has a special role to play when it comes to teaching kids about AI responsibly? Does science have a special role in that?

Jennifer Roberts (00:44:36):

I think the responsible piece of AI I wanna teach my students about is the part about the bias in the algorithms and the bias in the training. And I want them to understand how it works, well enough to make informed decisions about how it impacts their lives.

Donnie Piercey (00:44:56):

Hmm.

Jennifer Roberts (00:44:57):

Because I do have concerns about a tool that was trained on the internet. And the answers it gives you is the average of the internet. And do we trust the internet? And the answer from kids is always, “Well sorta, no.” <Laugh> So I want them to understand the social science behind that.

Donnie Piercey (00:45:18):

Yeah. And just along that same point, having the students recognize that just because, you know, you copy-and-paste a question in, the answer it spits out might not always be correct. So, teaching them that just like you would with a source that you find about a topic that you’re researching, you’ve gotta fact-check.

Jennifer Roberts (00:45:44):

It’s just like being a good scientist. A good scientist wouldn’t always accept a single result or the first result. You know, you would look at multiple angles. You would try things different ways. Last week I took the article my seniors were reading about victim compensation after 9-11, and in front of them, I gave ChatGPT, I said, “Are you familiar with this article by Amanda Ripley? And ChatGPT came back and said, “Oh yes, this was written in the Atlantic in 2020 and it’s about these things, blah, blah blah.” And my students looked at that and went, “That’s not the article we read.” And I said, “I know. It got it wrong. That’s amazing!” Yeah. And I was so happy that it got it wrong! ‘Cause I wanted them to see that happen.

Donnie Piercey (00:46:21):

And I guess one of the big science questions there, or one of the big science components there, is that idea of inquiry. Right? It’s almost like you have to teach students how to ask those deep questions about what AI spits out.

Eric Cross (00:46:35):

All of those tips are great. And it leads me to this last question I want to ask. New teachers that are out there — it actually doesn’t even matter; new teachers, experienced teachers, all of us are kind of new at different levels of this race. We’re all kind of starting it together. I mean, it hit mainstream. We’re all getting exposed to it. You all really dive into it. When tech comes out, I know you two really like, “OK, how can we use this to transform education and do awesome things for kids?”

Donnie Piercey (00:47:04):

Usually, when new tech comes out, “How can this make my life easier?” is usually the question. Yeah.

Jennifer Roberts (00:47:09):

“How can I save myself time with this?” Yes.

Donnie Piercey (00:47:11):

“How can this result in me watching more TV and you know, less grading,” sometimes.

Eric Cross (00:47:16):

And I start there like you, but then I end up more time that I fill with another project. And I need to learn how to stop doing that. I’m like, “Oh! I got more free time! … to go take on this other task.”

Jennifer Roberts (00:47:28):

Oh, all of my tech adoption is driven by “how can I work less?”

Eric Cross (00:47:32):

So you’re you’re talking to a new teacher, teacher’s getting exposed to this, they’re starting the school year or they’re just getting their feet wet with it. What advice would you give them about AI, incorporated into content or even just best practices? Where you’re at right now in your own journey, and someone’s asking you about it —what would you share with ’em? And Jen, I want to start with you.

Jennifer Roberts (00:47:53):

So, the first thing I did is I was in the middle of grading, you know, 62 essays from my seniors about Into the Wild, when ChatGPT became a thing last November. And I wanted to see what would happen. So the first thing I did was take the prompt that I had given my students and gave it to ChatGPT, ’cause I had just graded a whole bunch of those essays and my brain was very attuned to what my rubric was doing and what I was expecting as the outcome. So I could take what ChatGPT gave me as that quote unquote “essay” and evaluate it critically. And I was ready to do that. So my first advice is take something you’re already asking students to do and ask ChatGPT to do the same thing. So that as you look at the student results, you can compare that to what ChatGPTgives you. If what you’re finding is that ChatGPT can generate something that would earn a decent grade from you, you might need to change that assignment. And it doesn’t need to be a big change, but it might need a tweak or something, so that it, it does rely on the student voice, the students to do something more personal. I’m finding very helpful in my classroom is having my kids do projects where they are recording themselves on — I like Flip. So they’re writing a scene together and they’re having to record the scene together. And I’m emphasizing more of the speaking roles than the writing roles necessarily. So yes, first, take something you’re already doing, paste in to ChatGPT, see what the results are, see how that fits with what your students are doing, and then do that for every assignment you give and just sort of see what comes out of that, and see which assignments are failing and which assignments are working. ‘Cause that’s gonna give you a sense, when you do see one of those results from your students, you’ll be able to recognize it. But it’ll also help you tweak your assignments and decide, “How can I make this a little more original or a little bit more authentic for my students?” And if the robot, if the AI, can’t generate a response, what could the AI do that would be helpful to your students? Would be my next question. So can you use the AI to help them generate an outline? Can you use the AI to help them generate a list of steps to help them get started? And when you’re comfortable enough doing that by yourself, then don’t be afraid to open it in front of your class. If it’s not blocked at your school site, which I hope it’s not. Because I think the advantage goes to kids who have access to this in the long run, or at least see what it is and know what it is. Right? Because if a kid graduates from school without knowing that AI exists, they’re not gonna be prepared for what they face out in the world. So give them a chance to see you using it. Model effectively using it. I have a blog post about that. I just wrote it. LitAndTech.com. You can check that out. “Introducing 9th graders to ChatGPT.” How it went, right? There’s a chart there you can have. It’s my very first draft of this, but it seems to be very popular. So, you know, show students how it can be used as their mentor. If I can’t come read your paragraph because I have 36 kids in my classroom and I cannot stop and read everybody’s first paragraph, can you, if you want to, give your first paragraph to ChatGPT and ask for advice? And will that advice be helpful to you? So showing students how it can be used responsibly is, I think, something every teacher should be doing right now. And don’t hold back just because you’re afraid you’re gonna be teaching them what this is. They know what this is. Right?

Donnie Piercey (00:51:13):

They know what it is.

Jennifer Roberts (00:51:13):

Especially if you teach high school. They know what it is. I’ve had parents thank me for showing them how to use it responsibly. You know, this can actually be a really useful tool, but if you’re trying to make it do your work for you, it will probably fail you. If you’re trying to use it to help you do your work, it will probably be helpful. Sort of the way I’m breaking it down for them at this point. You want the great metaphor? The great metaphor is if you build a robot and send it to the top of a mountain, did you climb that mountain? No. If you build a robot and ask it to help you get to the top of the mountain, and you and the robot go together, did you climb that mountain? Yes.

Eric Cross (00:51:53):

I like that. I’m thinking through this. I’m processing that now.

Donnie Piercey (00:51:57):

Me too.

Eric Cross (00:51:59):

Yeah. I just imagine a robot holding my hand climbing Mount Everest and I’m like, “Yeah, I did it.”

Donnie Piercey (00:52:04):

If I got a robot though, like I would have to dress it like Arnold Schwarzenegger in Terminator 2. Like I would just have to.

Eric Cross (00:52:10):

Of course.

Donnie Piercey (00:52:10):

Of course.

Eric Cross (00:52:13):

Donnie, same question. Advice. Teachers getting immersed into it. Tips. What would you say?

Donnie Piercey (00:52:20):

So, I would definitely agree with everything that Jen said. Just, if anything else, to familiarize yourself with it. Almost like pretend like it’s a student in your classroom and it’s answering questions, just so that way you can see what it can do. And you’re kind of training yourself, like, “Oh, well, if I ever need examples, exemplars.” If you’re in a writing piece and you don’t wanna sit there and write out four different types of student responses — you know, advanced writer, beginning writer, whatever — great way to to do that is you just—

Jennifer Roberts (00:52:48):

Oh yeah. We did that.

Donnie Piercey (00:52:48):

—copy the prompt in and give a beautifully written piece that a fifth grader would be impressed with. Boom. It’ll do it for you. In my classroom, the way that I approach it is I kinda look at AI as almost like this butler that I don’t have to pay. That if I need it to do something for me, it’s just bookmarked. I can click it. And I mean, sometimes I just talk to it like it’s a person. And it’s almost like, in the chat window, I’m just rambling at it, what I’m trying to do. And it’s almost like I’m talking to a coworker, and I’m trying to hedge out some ideas for a lesson. Simple example: For a science lesson, if you’re trying to come up with … let’s say you’re a fifth-grade — or, sorry, I teach fifth grade. Say you’re a seventh-grade science teacher. And you’re trying to teach the students in your class about Newton’s third law of motion. You know, every action [has an ] equal and opposite reaction. Look around your room. See what you have. Maybe look around and you’re like, “All right, I got a whiteboard, microscope, I’ve got magnets, a cylinder. …” And you just copy all this stuff into ChatGPT. Say, like, “Hey, I have all of these items. Cotton balls, peanut butter, whatever.” And say, “I’m trying to teach students Newton’s third law of motion. Give me some ideas of some ways I could teach it using some of these materials.” And it’ll do it! It’ll give you like five to 10 ideas!

Jennifer Roberts (00:54:15):

And then tell it what your students are into. Like, my students are really into basketball. Can you work that into this lesson?

Donnie Piercey (00:54:21):

Yeah! They’re into the Avengers! Hey, find some way to tie Spider-Man into this. You know, that was a pun that didn’t go so well. But, you know <laugh> figure out some way that you could incorporate this and it’ll do it. And Eric, like you said, it won’t be perfect. Right? But if anything else, if you’re a starting teacher and you’re trying to brainstorm ideas — try it.

Eric Cross (00:54:44):

And Donnie, as you were saying that, I was thinking — first, I imagined Spider-Man shooting cotton balls with peanut butter all over them — and then my mind went to having students have these items, like you were saying. And then they create labs, working alongside AI. To do inquiry. To create a lab about something, and then going and performing and collecting data. OK, that’s — now I wanna go do that tomorrow!

Donnie Piercey (00:55:10):

Listen, it is so easy to do. If you have an extra computer in your classroom. … We were talking about Jarvis and Iron Man and Tony Stark earlier. Make a new chat in ChatGPT. Tell it, “I want you to pretend that you are Tony Stark. Only answer questions as if you are Tony Stark.” Or “Pretend you’re Jarvis.” Whatever. “Stay in character the whole time. I’m going to have sixth grade students come up to you and ask you questions about science or forces of nature, and only answer questions like you’re Iron Man.” And guess what? You keep that station in your classroom. Students are working on a project — you know, in elementary school, a lot of times we’ll have that, “ask three before me” — you’re supposed to ask three friends before you go and bug the teacher. Well, maybe one of those “three before me” can be that little computer station, where they go up and ask Tony Stark a question, and then it answers them as Jarvis or Iron Man. I mean, we’re really just scratching the surface with all this AI stuff. And as more and more companies and more and more creatives are gonna start to realize everything that it can do, we’re gonna start to see it more and more. And hopefully we as teachers can really figure out how to use this tool to, of course, help students, but also help them be creative and explore and learn on their own.

Eric Cross (00:56:35):

That’s amazing. And just both of you are just dropping gems right now. And I wanna wrap up by saying — and I’ve said this before on earlier podcasts I’ve done — but at this phase in my life, the people that I’m the biggest fans of are teachers. And it’s true. I don’t mean that in a cliche way. When I watch celebrities and things like that, when I watch professional sports, that doesn’t fill me the way it used to when I was a kid. At this point, as a professional, I get inspired by other educators who are just doing awesome things. And when I think about educators who are doing that, you two are on that list of people that make me better. And when I get better, I can do better things for my kids. And so, one, I want to thank you for staying in the classroom and continue to support students. They’re so lucky to have you both. The second thing I wanted to say is, Jen, I wanna start with you. Where can people — and I know we said at the beginning — but where can people find the stuff that you put out? You got blogs, your social, your book.

Jennifer Roberts (00:57:28):

I got lots of social. Twitter, I’m JenRoberts1 on Twitter. And then my blog is LitAndTech.com. And then I’m on lots of the new social too, the Mastodons, the Spoutables, the Posts — those kinds of things — as just Jen Roberts, because I got in early and I got my real name without a 1. And there was some other one I’m on recently that I’ve forgotten about. But there’s lots of ’em. They’re fun. And I’m Jen Roberts. You can find me there.

Donnie Piercey (00:57:56):

And I’m SergeantPepperD on AOL, if anyone’s interested.

Eric Cross (00:58:00):

If you wanna hit Donnie up on AIM. <Laugh>

Donnie Piercey (00:58:03):

SergeantPepperD.

Jennifer Roberts (00:58:04):

You know, speaking of rock stars and people who do amazing things, I did write a blog post about using ChatGPT in the classroom, but I hear Donnie wrote a whole book.

Eric Cross (00:58:13):

Oh yeah. So, Donnie! Donnie, that’s a great segue. Thanks Jen. Donnie, how do people find out more? And can you tell us about this book you wrote, that’s coming out in the summer?

Donnie Piercey (00:58:22):

Yeah, so the book I wrote is called 50 Strategies for Integrating AI Into the Classroom. It’s published by Teacher Created Materials. They reached out to me. They had seen some of the stuff that I was doing, not just with ChatGPT, but also some image-generating AI stuff. You know, I got featured on Good Morning America, which was kind of cool. And they saw that and they said, ‘Hey, that looks really neat.” Reached out to me and asked me to write a book. And the idea behind the book, that launches this summer, it’s just 50 ideas, 50 prompts, different things that, as a classroom teacher, that you can do. So, you know, I think there’s so many AI books that are out there now. A lot of them are big ideas, which I think are important. Definitely important discussions that need to be, have around, the ethics of AI. What’s the role that AI should play in the classroom. But I just wanted to write a book, kind of like the discussion that, that Jen and I were just having, which is like, “Can we just share a whole bunch of ideas, different things that we could try with our students?” So definitely check it out. And I appreciate you giving me a shout-out too. That was cool, Eric. Thank you.

Eric Cross (00:59:35):

Of course. Definitely. And Donnie, your Twitter is again. …

Donnie Piercey (00:59:39):

Oh, @MrPiercey, M R P I E R C E Y.

Eric Cross (00:59:44):

Follow Donnie. Follow Jen. Tons of stuff on there. Both of you, thank you so much. For your time, for talking about students and how we can take care of them, science, literacy, AI. I hope we can talk about this again. I feel like even if in just six months, we might be saying different things. In a year, the landscape might completely change. And that makes it really fun. But thank you both for being on the show.

Jennifer Roberts (01:00:04):

Thank you for having us, Eric.

Donnie Piercey (01:00:05):

Thank you so much, Eric. We appreciate it, bud.

Eric Cross (01:00:10):

Thanks so much for listening to my conversation with Jen Roberts and Donnie Piercey. Jen Roberts is a veteran English teacher at San Diego’s Point Loma High School and author of the book Power Up: Making the Shift to 1:1 Teaching and Learning. You can keep up with her at LitAndTech.com. And Donnie Piercey is a fifth-grade teacher from Lexington, Kentucky. He hosts the podcast Teachers Passing Notes. Stay up-to-date with him at Resources.MrPiercey.com. And let us know what you think of this episode in our Facebook discussion group, Science Connections: The Community. Make sure you don’t miss any new episodes of Science Connections by subscribing to the show, wherever you get podcasts. And as always, we’d really appreciate it if you can leave us a review. It’ll help more people and AI robots find the show. You can find more information on all of Amplify’s shows on our podcast hub, Amplify.com/hub. Thanks again for listening.

Stay connected!

Join our community and get new episodes every other Wednesday!

We’ll also share new and exciting free resources for your classroom every month!

What Jennifer Roberts says about science

“If I’m not teaching my students how to use this, then they’re not going to turn into the adults we need them to be… If we’re not at least trying to think about what our future world is going to look like, then we’re not serving our students well.”

– Jennifer Roberts

High School English Teacher

Meet the guests

Jen Roberts is a Nationally Board Certified high school English teacher with 25+ years of experience teaching Social Science and English Language Arts in grades 7-12. She has had 1:1 laptops for her students since 2008 and is the co-author of Power Up: Making the Shift to 1:1 Teaching and Learning. A Google for Education Certified Innovator since 2011, Jen was named the CUE Outstanding Educator in 2022. Her interests include literacy instruction, standards based grading, and leveraging Google tools to make her teaching more efficient and effective.

A woman with light skin and blond hair stands outdoors, framed by illustrated graphics including a blue flask and curved lines. Green foliage is visible in the background.

Donnie Piercey, the 2021 Kentucky Teacher of the Year, is a fifth-grade teacher in Lexington, Kentucky.  With a passion for utilizing technology to promote student inquiry, learning, and engagement, he has been teaching since 2007. In addition to being in the classroom, he runs a podcast, Teachers Passing Notes that is produced by the Peabody Award winning GZMShows, and holds several recognitions, including a National Geographic Fellowship to Antarctica in 2018. His most recent work in Artificial Intelligence has not gone unnoticed, earning him multiple appearances on Good Morning America, the Associated Press, and PBS. His upcoming book, “50 Strategies for Integrating AI in the Classroom” published by Teacher Created Materials, is written for educators looking for practical classroom approaches to using AI. All told, Donnie has been invited to keynote and present at schools in thirty-three states and on five continents.

A man with short brown hair and a beard smiles at the camera, wearing a red shirt, framed by a circular graphic with a blue flask icon.
A laptop screen displays the “Science Connections: The Community” private group page, with science-themed icons decorating the background and edges.

About Science Connections

Welcome to Science Connections! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher. 

S5-05. Math technology & hacks for math anxiety: research-based tips for caregivers

A blue graphic with text reading "Math Teacher Lounge" in multicolored letters and "Amplify." at the bottom, with abstract geometric shapes and lines as decoration.

We’ve been very lucky to have so many prolific and brilliant researchers on this season of Math Teacher Lounge, and our next guest is no exception.

Listen as we sit down with Dr. Marjorie Schaeffer to discuss what causes math anxiety, math hacks, and how the right math technology can make an incredible impact in children and caregivers coping with math anxiety.

Listen today and don’t forget to grab your MTL study guide to track your learning and make the most of this episode!

Download Transcript

Marjorie Schaeffer (00:00):

I think the most important thing we know from literature right now is that high math-anxious parents, when they interact with their children, their children learn less math over the course of the school year.

Bethany Lockhart Johnson (00:12):

Welcome back to Math Teacher Lounge. I’m Bethany Lockhart Johnson.

Dan Meyer (00:15):

And I’m Dan Meyer.

Bethany Lockhart Johnson (00:16):

We’re onto Episode 5, Dan, of our series on math anxiety. And I wanna say it feels so lovely to imagine all of these people out there doing work to help combat math anxiety. I dunno, it just makes me feel excited about the possibilities. This work is out there; it’s happening! Kids and teachers and caregivers are being impacted by these conversations. Not just — I mean, I don’t just mean the conversations we’re having on Math Teacher Lounge, but I mean, that these researchers are doing. Like, yes, we can change this!

Dan Meyer (00:53):

This is great. Yeah. We have people who are extremely smart, who have dedicated their professional lives to studying math anxiety and resolving it. And each of them that we’ve chatted with — they share lots of ideas in common, but I’ve loved how they each have their own different flavor or take or area of emphasis on a problem that hits everybody everywhere. It’s in your home, with kids and caregivers. It’s in schools. It’s in our places of teacher preparation and professional learning. Every place is a place where we can focus on resolving issues of math anxiety. It’s exciting.

Bethany Lockhart Johnson (01:26):

Yeah, I feel like … if there could be a course in — we all know that our teacher prep programs, in MOST teacher prep programs, there’s not nearly enough math methods or time to cover <laugh> — it’s like ready, set, go! And depending on who your mentor teacher is or what your math methods course … I mean, it can totally shape the way that you are prepared or really not prepared for going out there to teach math! And so I love that we’re having these conversations.

Dan Meyer (01:55):

What I love about today’s conversation is, one, it’s got a little bit of a technology flavor, so there’s that. But I also love, it’s got one of my favorite features about change, which is that it focuses on change to action, change to routine, rather than change to belief. Rather than saying like, “OK, everybody! Everybody stop thinking bad beliefs about math and transmitting them to your kids!” Instead, it says, “What we’ll do is just, hey, we’ll set that aside for a second and we’re gonna do a certain thing every day and watch as those actions make your beliefs change.” That to me is extremely cool. And I think it has a higher likelihood of success than just, like, me telling parents, “Hey, stop thinking these thoughts!”

Bethany Lockhart Johnson (02:37):

“Ready, set, stop being anxious!”

Dan Meyer (02:39):

Exactly. Exactly. So it’s an exciting conversation we’re gonna have here.

Bethany Lockhart Johnson (02:43):

Right. So it’s not a, you know, “wave the wand and all of a sudden, you’re not anxious about math anymore.” But these incremental changes, these incremental conversations, this validation, can really, really impact change. I’m with you on it, Dan. I hear what you’re saying.

Dan Meyer (03:01):

To help us talk through all of these ideas and more, we’re joined by Dr. Marjorie Schaeffer, Assistant Professor of Psychology at St. Mary’s College in Indiana.

Bethany Lockhart Johnson (03:10):

Enjoy. <Jaunty music> So, yes, Dan, we are so excited to welcome Marjorie Schaeffer. She’s Assistant Professor of Psychology at St. Mary’s College. Dr. Schaeffer, we’re so excited you’re here. Hello!

Marjorie Schaeffer (03:28):

Thank you so much for inviting me.

Dan Meyer (03:29):

Yeah. We are super-lucky to have had so many prolific and brilliant researchers about math anxiety on our show. You’ll be no exception. And every time, we love to find out about how you came to study math anxiety, which winds up being a really interesting glimpse into your backstory bio. So tell us, what is the route by which you came toward studying math anxiety?

Marjorie Schaeffer (03:51):

Oh, I love that question. I’m really interested in how the attitudes and beliefs of parents and teachers influence children, especially around math. And I actually became interested in this idea in college, when no Child Left Behind was actually first starting to be implemented in schools with high-stakes standardized testing. So much so that I actually did my thesis on this thinking about, “Do children understand the importance of high-stakes testing? Do they have anxiety around that idea?” And so that was really my first foray into the anxiety literature. And that was kind of the entry point into math anxiety for me.

Dan Meyer (04:28):

So you started by studying a very high-stakes assessment, like our students connecting with this. And the assessment is once per year. And classroom instruction is every day. So how did you move from the assessments to the everyday instruction?

Marjorie Schaeffer (04:44):

That’s a great question. So, after college, I actually taught kindergarten. And so from that, I saw the day-to-day impact of instruction and the day-to-day impact of children’s individual attitudes and beliefs. And so I really became interested in thinking about, “How do we understand why some children are really successful from the instruction happening in classrooms and why other children need a little bit more support?” And so math anxiety was one way for me to really think about the individual differences I saw in my kindergarten classroom.

Dan Meyer (05:18):

It feels like you headed … you went farther upstream, is what it feels like. Where assessment … there’s like some kind of anxiety around assessment, let’s say. And then you ventured farther up the stream to classroom instruction and then still farther into kids’ homes. It seems like your research invokes a lot of curiosity about the sources of a kind of amorphous, flowing phenomenon called math anxiety. And I’d love to hear a bit about what you know about how caregivers transfer, transmit — whatever the word is — math anxiety to their kids.

Marjorie Schaeffer (05:55):

For parents … we think that the attitudes and beliefs of parents matter. And we see that for lots of areas, not just math anxiety. But I think math anxiety, we see that really clearly. And so, we can think about it both in terms of what kind of input parents provide. So, how do families talk about math with their children? What kind of support do they provide around homework? And those are ones that I think are a little obvious. But we can also think about the offhanded comments that parents say to children when they’re talking about math generally. Right? So, we see lots of memes going around, talking about how hard math homework is. And so, I think when parents say offhanded comments like, “I’m not a math person,” or “We’re just bad at math,” that communicates values to children. I think the most important thing we know from literature right now is that high math-anxious parents, when they interact with their children, their children learn less math over the course of the school year. And this specific mechanism by which that happens is still an area for a lot of research. And so some people think it’s about input. So maybe if I’m math anxious, I’m avoiding math. And so, when I have an option to read a picture book that has math content, I focus on the colors instead. And so, my child is actually getting less math than other children. We can also think it’s about these messages that are provided. So, when I talk about math, I send the message to my child, it’s not for them, and therefore the child wants to engage in it less. And some of my work looks at things like expectations and values. So, thinking about, “Do math-anxious families actually value math less than other families unintentionally?” And so, we have some support for this idea that they expect less of their children. And so maybe when they struggle, they respond in different ways than a family who’s lower in math anxiety.

Bethany Lockhart Johnson (07:53):

This is so fascinating to me. I also was a kindergarten teacher. And I remember a mom who just … she had such like palpable math anxiety. And during one of our conversations, she was talking about these homework sessions with her daughter. And I may have mentioned this on the podcast before. But she was talking about how every night they would sit together and they would do all this math. They’d do, like, extra math together. And it always ended in tears. And despite her math anxiety, she didn’t want her daughter to experience the math anxiety that she did. So she was trying to pile it on, so her daughter was more proficient and comfortable. And instead, it was perpetuating this anxiety about it. And so, it’s a phenomenon then, right? Even if a parent is saying, like you said, maybe completely unwilling, this mother was actually trying to do the opposite. She was trying to help, you know, imbue the love and comfort with math. Right?

Marjorie Schaeffer (09:01):

Absolutely. This is why I think in my research, it’s really important that we find low-stakes, low-stress ways for high math-anxious families to do math. They absolutely can support their children in doing math. But they need a little support. We want it to be a fun, low-stakes environment, right? So maybe that’s the connection back to high-stakes testing, that I want children to have fun math experiences.

Dan Meyer (09:28):

Yeah. This is challenging, because it feels like the more caregivers know about math anxiety, and its pernicious effects on students, and how easily transmitted it is, one could become quite anxious about math anxiety. And, you know, no one makes great decisions when they’re anxious. So if I’m recalling our various episodes we’ve done, we’ve heard from people say, “Well, you need to validate students’ math anxiety. This is not something to just ignore or brush past. But also, not validate it in a way that says, you know, ‘This is OK and generational and inevitable.’” Which presents parents with a very thin path to follow, it seems like. So I love what you’re saying about how we gotta just de-stress the whole process.

Bethany Lockhart Johnson (10:11):

You’re avoiding the whole, “I wasn’t a math person either” kind of thing. <laugh>

Dan Meyer (10:15):

Right, right, right. Yeah. So I’d love to know more. We’re excited about the technology that you have studied and helped develop, presumably, called Bedtime Math, anapp for caregivers. And I’d love to know more about what that is and what it offers parents who know enough about math to know that they don’t want to transmit math anxiety to their children, but also want to support. So what does that offer them?

Marjorie Schaeffer (10:39):

So Bedtime Math is an app. It’s freely available on iTunes or the Apple Store or Google Play. And what it’s designed to do is to provide a nightly topical passage. So one of my favorites is the one about Groundhogs Day. And so it talks a little bit about the history of Groundhogs Day, and then it asks math-related follow-up questions. So starting at a preschool level, going through late fifth grade. And it’s really meant for parents to pick the one that meets their children where they are. And so the preschool-level question asks children to pretend to be a groundhog and walk to the left and walk to the right. So a skill that families might not think about as being math, but we actually think that IS part of understanding math. Understanding left and right directionality. And then the next question can ask questions like, “If it took the groundhog three seconds to climb out of the hole, and then two more seconds to see its shadow, how much time did it take all together?” So a simple addition problem, but it’s phrased in a fun way. And so the hope is that for high math-anxious families, these interactions are fun and playful. They don’t look like fights over homework. They’re just conversations that families can have around topics that are naturally interesting to children. And our hope is that when families have lots of these positive low-stakes interactions, they actually can see that we can talk about math in unstressful ways. In lots of ways, right? We can also do this at the grocery store. We can also do this while we’re cooking in the kitchen. It doesn’t just have to be fights over homework.

Bethany Lockhart Johnson (12:14):

And I actually have the Bedtime Math — one of the Bedtime Math books. And I was so excited to find out that there’s an app. And I think one of the things that I loved about the book is that these are invitations, right? They’re exactly that. Low pressure <laugh>, and they’re invitations to have a conversation. And if we were just to tell parents, “Oh, just count!” or, “Hey, just count wherever you go!” You know? No. It’s, in a way, I think, like you said, it’s retraining the parents on what math could look like. Like, “Oh, I didn’t even think we could just kind of have this conversation and we’re actually doing math together.”

Marjorie Schaeffer (12:55):

Yes, absolutely. I absolutely agree. We want it to be fun and playful and not stressful. And we want it to also be things that are meaningful to children’s lives. So these are topics children are interested in. It’s not that we are using flashcards or making children practice math facts over and over again. These are things children should wanna do that can naturally fit into a child’s routine. So almost all families read books before bed, and what we hope is that math can also be a part of the nighttime routine.

Dan Meyer (13:27):

There’s something really subtle here going on that I just wanna name and ask a question about. First of all, it’s cool that you started with studying high-stakes stuff and now you are developing low-stakes stuff. And I’m really curious what makes a thing low-stakes? Like, a few things I’m hearing from you is that there’s, like … I have a small child that I read literature to on a nightly basis. And I feel very anxiety-free doing that. And it’s almost as though, because each of the — tasks is the wrong word for this, but experiences — involve some reading, it puts me, the parent, in a mode that is comfortable and familiar to me. I’m curious: Are there other, as you design, what, one per day for a year? All these different experiences. What are some of the principles that you lean on that help make a thing low-stakes for kids and for parents?

Marjorie Schaeffer (14:17):

Yeah, that’s a great question. So one thing we wanted to be really intentional about is that our app doesn’t look like a lot of traditional apps. There isn’t noises that go off. You don’t enter an answer. And so one of the things that we thought made it low-stakes is that while there is a right or wrong answer — there is a correct answer — we aren’t giving children upsetting feedback. Instead, what we wanna encourage families to do is, if you struggle to remember how many seconds it took the groundhog to come out of the hole, you can work through that with a parent. So it doesn’t feel like you’re getting negative feedback; you’re being told you’re bad at math; you did it wrong. Instead, you’re just getting natural support moving forward. And so that’s one thing we wanted to be really intentional about, was that it wasn’t going to be a negative experience for children. And we are trying to build on all of the positive interactions families are having around nightly book reading. So many ways this can look very similar. You get to read another story that’s topical and hopefully interesting. And then do these little questions together. And so for a lot of families, their children don’t actually really look at the question. It almost feels like the parent is just asking them on their own. Like, they just came up with it. They just wanted to know what would happen to the groundhog. If there were three more groundhogs? How many groundhogs would we have all together? Not like it’s gonna be like homework or other parts.

Dan Meyer (15:38):

So my understanding is that there isn’t a blank into which people type a number in, press “submit” for evaluation, receive the red X, the green check. That’s a key part of the design here.

Marjorie Schaeffer (15:50):

Yes, absolutely. And for research purposes, we would’ve loved to know what families were saying. But we think it’s really important that it’s fun, interactive, that families are working together to get to the right answer, that it’s not a test for children.

Bethany Lockhart Johnson (16:03):

In your research, when you were — maybe you could walk us through the study a little bit. But I’m also curious if you heard from parents that it was carrying over beyond the bedtime routine. Because I would imagine, if I am building these skills and reading these questions and learning that I could talk to my kid like this about math in a fun way, that’s gonna happen then, like you said, when I’m in the grocery store. Or when I’m waiting in line for at the bank. Or whatever, you know? People go into banks now still, right?

Marjorie Schaeffer (16:35):

Yeah, absolutely. So in our study, we recruited almost 600 families and we randomly assigned them. So they had an equal chance of getting both our math app and what we call our control app. And that’s really just a math app without the math. We think of it as a reading control app. And that’s because we wanna make sure that families are having a similar experience, that it’s not just that having high-quality, fun interactions with your child is actually impacting children’s math achievement. And so what we then did is followed those children over the course of early elementary school. And so we worked with them in schools in the fall and spring of first, second, and third grade, really to look at their math learning. And so what we find is that children of high math-anxious adults, when they have the reading app, so what we think of as what’s happening in the real world, we see that really classic gap between children of high math-anxious adults and children of low math-anxious adults. So if you have a high math-anxious parent, you’re learning about three months less math over the course of first grade. But for children who receive this math app, we see this gap as closed. Those children look no different than a low math-anxious parent. And so that’s leading us to think that we’ve helped families talk about math in fundamentally different ways. We did a little bit of just talking to families to see a little bit about what might be going on. And a lot of families do report exactly what you’re describing, where they say this did help them talk about math in different ways they were doing it other times.

Dan Meyer (18:10):

That’s a really extraordinary study design. I don’t know … I love that you folks gave the control group not nothing. Like it’s possible that just parents and kids bonding over a thing regularly would be enough to provoke some kind of academic gain. But you gave the control group a thing that had them interacting socially, bonding, and still this large common gap between high-anxious and low-anxious parents, their kids shrunk together. Is that what I’m gathering here?

Marjorie Schaeffer (18:41):

Yeah, absolutely. So we’re basically seeing we can no longer, when we look at children’s data, say that parents’ math anxiety explains individual differences. So these children look really similar. They’re learning more than children who has a high math-anxious parent and just got our reading control app.

Dan Meyer (19:01):

just diving into the study a little bit more here, what is the time commitment? Or, did you guide parents to say, “All right, we’re gonna do this do this delightful story about a badger for an hour”? Or did people do it for five minutes? And what was the time commitment, roughly, for people?

Marjorie Schaeffer (19:17):

So we tell families to do it however they see fit. Because it is an app, we are able to get some sense of how long, and we are talking about three to six minutes for many families. For a lot of families, they’re reading a paragraph, the paragraph and a half, and then answering one or two questions. They’re not going through every possible question. They’re just doing a little bit, really meeting their kids where they are.

Dan Meyer (19:39):

Roughly how many times per week was that?

Marjorie Schaeffer (19:41):

So we asked families to do it as much as it fit. But we’re seeing about two and a half on average in the first year. And so families are fitting it in a couple of nights a week. It’s not every night.

Bethany Lockhart Johnson (19:52):

So what it sounds like you’re saying is what really was powerful about this app is that it was the space and time and prompts between the caregiver and the child, that chance to really sit down and have some of these meaningful and positive math interactions. How did it shift those relationships?

Marjorie Schaeffer (20:12):

So one of the things I think that makes the app effective is the changing of expectations. After a year, families are really using the app a lot less. And I think that’s OK, that they have found other ways to incorporate math into their lives. And we find that we don’t see an impact on their math anxiety, that they aren’t becoming less math anxious from this experience. Which I think makes sense, because they have had a lifetime of math anxiety. But we do see a change in parents’ expectations and value of math. So they expect their children will be better at math, and they also report that math is more important in their children’s lives. And so I think that’s an important part of it, which is, we can change these values for families, even if we aren’t able to change the math anxiety of the adults in children’s lives.

Bethany Lockhart Johnson (21:01):

I want to for a second before — because I’m loving this idea of the app, and I’m excited to find out more ways to cultivate these conversations in my home and also share this with other folks. Because even folks who don’t even maybe realize they have math anxiety … like you said, so often it’s unconscious. So often we’re putting these little snippets into our everyday conversation, like, “Oh yeah, I’m not a math person.” And we don’t even realize how much is impacting our kiddos and ourselves, right? So I am really curious: What do you think … in your research, what were some other takeaways that you feel like are really strategies that we can think about for combating math anxiety in general?

Marjorie Schaeffer (21:47):

So I’m particularly interested in thinking about how math-anxious adults can help tone down their anxiety so that they can have high-quality interactions with their children, that they interact with. And so one of the big takeaways for my research, I think, is that math-anxious families can help their children with math. They just need support. And so I think there are lots of ways for that support to look like. One, I think it can be an app, but I also think reading a little bit about math can be really helpful. So it’s not new. So the first time you aren’t thinking about some of these ideas is as your child has their homework open in front of you. And so you can process your own feelings separately before you have to do it with a child. I also think reminding parents that math is everywhere and that math is actually lots of things that we all love to do. Math isn’t just calculus. Not that calculus isn’t wonderful. But that math is measuring, math is counting ducks at the park. Math is talking about how many times did I go down this slide. And talking about math in this way, I think reminds families that they are great at that. That even if maybe they’ve had bad math experiences before, they can do math. Especially the way their preschool or early childhood, early elementary school student needs them to. And I think that can then set the foundation for being really successful later.

Dan Meyer (23:13):

So is your research then, your subsequent studies, your line of inquiry, is moving more towards how to support parents, then? Is that what I’m hearing?

Marjorie Schaeffer (23:22):

Yeah. So I’m really interested in both understanding how the math anxiety of parents and teachers influences children. And so math anxiety is really common and we know that it’s particularly common in early elementary school teachers. And so it’s very likely that children are interacting with a highly math-anxious adult. And so I’m really interested in thinking about how we can support those individuals in doing it. And so both, I think, things like Bedtime Math, which provide fun, unscripted ways to do that, but I’m also interested in the teacher equivalent. So, thinking about whether having things like a math coach can help teachers have more positive experiences with math. So if you see someone else play math games with your students, can that help you do it as well?

Dan Meyer (24:09):

It makes me wonder a lot about an app for teachers or an app for parents, one that’s not designed to be co-consumed with kids and their parents. But what that would look like … yeah, that’s really interesting.

Bethany Lockhart Johnson (24:21):

If we have a parent who, let’s say they have a third grader, fourth grader, fifth grader, or a middle schooler, right? Outside of early education. And they say, “OK, but what do I do? I’m with my kiddo; I don’t remember this math.” And they’re realizing that their anxiety may be influencing their kiddos’ disposition of mathematics, Or maybe they’re just in the midst of the battle <laugh>. What would you say to those folks, especially if it’s math that maybe they’re not comfortable with?

Marjorie Schaeffer (24:56):

One, I think we should like tone down the stress, right? Remind ourselves that it’s homework and homework feels really high-stakes, but these other outcomes are really high-stakes too, right? And so I’m really interested in the idea that can we help parents feel more comfortable about math by watching their own children teach it to them. So what’s a concept that the fourth grader actually feels really good about? And can they remind their parent how to do it? Can, together, they problem-solve the math homework? And so it’s not just on the parent to give the child the right answer. We know that’s a recipe for communicating some negative things about math. But instead, help the parent-child pair figure it out together. So what are some resources we can do? Can we look it up on the internet together? Can we write an email to the teacher together? Can we think about what are other problems that maybe we know how to do, and therefore we can use that same model here? So I want parents to feel like they are not solely responsible for it. That they can help figure it out with their child together. And so it’s a fun interaction.

Bethany Lockhart Johnson (26:02):

I love that. I love that.

Dan Meyer (26:03):

Yeah. Yeah. That’s wonderful. Yeah. A conviction that I have, and I think it’s true, is that any math that we’re learning at middle school, the attraction can be dialed down to a degree that a very small child, or a parent who has a very small child’s understanding of math, can appreciate. So instead of calculation, estimation. Instead of proof, just make a claim about something. And it makes me wonder about a companion to the work that’s happening in schools that parents feel inadequate to support, that students might not want to teach their parents. But which they could both, on a daily basis, say, “Here’s a way we can engage in this at a level that is comfortable to both of us.” Just dreaming out loud here. No question asked. No response needed. I just love your work. And made me wonder about that. Can you let me know your thoughts about technology? It is very rare that we have someone on the call who is an academic and very well-versed in research, but who also is published not just in in papers and textbooks, but also in digital media. It’s consumed by lots of people. So I am trusting that you have opinions about how math looks in technology. And I wonder if you’d offer some thoughts about how it goes, right? How it goes wrong from your own eyes.

Marjorie Schaeffer (27:14):

OK. That’s a great question. I think that we need more research. I first wanna say that I think that technology has really exploded in the last few years. How children have access to technology and screen times has really changed. And what we need is high-quality research happening. That said, I think that all of the things we know from child-development research still apply to technology. And so we know that children learn best when they are engaging in interactions with their parents. And so when families can use technology together, or at least can talk about what’s happening, it can be really effective. I also think technology, especially math apps, are best at teaching concrete skills with very clear answers. So I think practicing math facts is a great use of technology. So I love that Sushi math app where you solve multiplication problems and then get to quickly pull the sushi off the cart, right? But for higher-level questions, where we’re thinking about word problems or where what we’re helping to teach students is complex thinking, apps have a harder time doing that. Because students can often figure out the answer without engaging in the thinking that we are hoping that they’ll learn. And so I think technology absolutely has a piece. I think technology is helpful for parents. I think the logistics of helping parents live their lives is a good reason to use technology. But I think we need to be conscious of what it’s replacing. And so I think a world in which we think fourth graders can learn math only from apps is not realistic. But absolutely apps can be a great supplement to what’s already happening in the classroom.

Dan Meyer (28:56):

Yeah, that’s super-helpful. We have done a lot of work in digital curriculum here at Amplify, and often face the question on a daily basis, “Should this math be digital or on paper? Should we have the students stand up and talk or type something?” And those decisions are way too crucial and way more sensitive than a lot of the app-based education gives credit to. So appreciate your perspective there.

Marjorie Schaeffer (29:22):

OK. And I don’t think there’s one answer, or one answer for all classrooms. I think it’s like always a balancing act. I do think that one of the reasons our work is successful is because the parent-child interaction. And we want parents to learn from these experiences. And I think the same thing is true for for teachers.

Bethany Lockhart Johnson (29:41):

Dr. Schaeffer, thank you so much for being with us today and for sharing about your research, and again, for inviting us to reconsider ways that we can develop a more positive relationship with math. And that parent or caregiver or teacher relationship with a child, we’re seeing just how incredibly impactful that is. And I really appreciate your work and your voice on this. Thank you so much for your time.

Dan Meyer (30:07):

Thank you.

Marjorie Schaeffer (30:08):

Thank you for having me.

Bethany Lockhart Johnson (30:12):

Thank you again, Dr. Schaeffer, and thank you all for listening to our conversation. You can check out the show notes for more on Dr. Schaeffer’s work and to see a link to the app that we shared about Bedtime Math.

Dan Meyer (30:25):

Please keep in touch with us on Facebook at Math Teacher Lounge Community, and on Twitter at MTLShow.

Bethany Lockhart Johnson (30:32):

We would love to hear … you’ve been listening to this series; we’re dipping our toe into all these aspects of math anxiety. Is there something that you’re still wondering about? Something you wanna share about your own story with math anxiety?

Dan Meyer (30:43):

And if you haven’t already, if this is your first exposure to the Math Teacher Lounge podcast, please subscribe to Math Teacher Lounge, wherever you get your fine podcast products. And if you like what you’re hearing, please rate us! Leave us a review. You’ll help more listeners find the show.

Bethany Lockhart Johnson (31:01):

And let a friend know. But you know, it’s, it’s nice and cozy here in the Lounge, right? There’s no pressure. We’re hanging out. It’s all about learning. We’re learning together. We’re glad you’re here and we want others in your community to join us in the Lounge as well. You can find more information on all of Amplify’s shows at our podcast hub. Go to amplifycom.wpengine.com/hub. Next time on Math Teacher Lounge, we’re gonna be chatting about where we are today that we weren’t a few months ago in this topic.

Dan Meyer (31:31):

We’ll be chatting about this last series about math anxiety, and trading our favorite insights and observations from the run of the season.

Bethany Lockhart Johnson (31:41):

I just love this series, Dan. And thanks, all, for listening. We really appreciate having you in the Lounge.

Stay connected!

Join our community and get new episodes every other Tuesday!

We’ll also share new and exciting free resources for your classroom every month.

What Marjorie Schaeffer says about math

“We want it to be a fun, low-stakes environment, especially in high-stakes scenarios like testing. We want children to have fun math experiences.”

– Marjorie Schaeffer

Assistant Professor of Psychology at Saint Mary’s College

Meet the guest

Marjorie Schaeffer is an assistant professor of psychological sciences at Saint Mary’s College. She received her Ph.D in developmental psychology from the University of Chicago. Marjorie is interested in the role parents and teachers play in the development of children’s math attitudes and performance. She is specifically interested in the impact of expectations and anxiety and on children’s academic performance. Her work has been published in outlets including ScienceJournal of Experimental Psychology: General, and Developmental Science.

A laptop displaying a Facebook group page for "Math Teacher Lounge Community," featuring profile photos, a group banner, and geometric shapes in the image background.

About Math Teacher Lounge

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

S5-01. Investigating math anxiety in the classroom

A blue graphic with text reading "Math Teacher Lounge" in multicolored letters and "Amplify." at the bottom, with abstract geometric shapes and lines as decoration.

Season 5 is here! This season, we’ll be talking all about math anxiety: what it is, what causes it, and what we can do to prevent or ease this anxiety in the math classroom. To launch this very important theme, we sat down with Dr. Gerardo Ramirez, associate professor of educational psychology at Ball State University.
 
As someone who’s been studying math anxiety for more than a decade, he had some interesting research and advice to share on why math anxiety affects so many students (and adults), and tips for how to start reducing it.
 
Listen now and don’t forget to grab your MTL study guide to track your learning and make the most of this episode!
 
Enjoy this episode and explore more from Math Teacher Lounge by visiting our main page.

Download Transcript

Dan Meyer (00:01):
Hey, folks. Welcome back to Math Teacher Lounge. I’m one of your hosts, Dan Meyer.

Bethany Lockhart Johnson (00:05):
And I am your other host. I’m Bethany Lockhart Johnson. Season five! Hello!

Dan Meyer (00:11):
Bethany, how are you doing? How have you been spending the long break between our recording sessions?

Bethany Lockhart Johnson (00:16):
As much as I loved sharing content from previous seasons, I am so thrilled that we’re back for season five. I have been, you know, chasing a toddler. I think he’s already tired of me saying, “Ooh, can we count that?” He’s like [sighs] “One two, one two.” Like, he’s done already.

Dan Meyer (00:36):
Too much counting. Yeah, I worry about that so much, that my love of mathematics might be perceived by my kids as smothering. Yeah, I worry about the same. We shared with you folks some bangers of reruns, in my humble opinion. Some great guests. But, we’ve been excited—me and Bethany—to hop back on the mics, on the ones and twos, and explore some new ideas together.

Bethany Lockhart Johnson (01:01):
Well, I loved our season talking about joy in mathematics. And personally I could…like, we could turn this whole podcast into joy in mathematics. However, we’re kind of going a different route. Because if you ask folks why they don’t feel joy in mathematics, a lot of times at the root of that is some really intense math anxiety. So this whole season, we’re going to be delving into math anxiety. Exploring what it is, who has it, why do we think it happens, what do we think we can do about it, and how can we navigate through it, so that we can experience that joy in math? These are questions that we’re gonna explore over the course of the season. Dan Meyer, how do you feel about that?

Dan Meyer (01:49):
It feels big and it feels personal. I mean, as we shared in our math stories back from season…whatever it was, math anxiety was a huge part.

Bethany Lockhart Johnson (01:59):
It was last season, Dan.

Dan Meyer (02:00):
Last…? I mean, who can remember? Big part of your journey. I’ve had some very punctuated but intense moments of anxiety in math class. And socially, we have built math up to be this incredibly powerful thing. You know, restricting movement on economic ladders, preventing people from getting into careers they want. Whether or not they have much to do with math class, math anxiety is a really large part of educational but also social life. And yeah, I’m really excited to explore it with you. We’re bringing on some really excellent guests. Some researchers, yes. But not just researchers! Also people who practice in the field and know firsthand what it looks like to resolve issues of anxiety with students.

Bethany Lockhart Johnson (02:45):
Yeah, you’re right, Dan. My math story contained quite a bit of math anxiety, so I am particularly invested in this season. I mean, I still navigate math anxiety. And, you know, many of us do, and let’s talk about it. And let’s—I love that you reminded me. We’re gonna have a lot of great researchers all throughout the season, and a lot of times folks feel like the research happening, there’s sometimes a gap between researchers and what’s actually happening in the classroom. Not in all cases, but a lot of times. Right? And I remember a lot of conversation about the latest research when I was in grad school, but unless you’re actively studying something, sometimes we don’t know what’s happening. Right? We’re really focused on what’s happening right in front of us in our classroom. So let’s take some of that research; let’s break it down; let’s talk to some of the folks who are thinking about this for the bulk of their day, right?

Dan Meyer (03:41):
Yep. So we got our first guest coming up in a moment here.

Bethany Lockhart Johnson (03:45):
So to kick off this season, we’re starting episode one by talking to Dr. Gerardo Ramirez, Associate Professor of Educational Psychology at Ball State University. And he’s been researching math anxiety for more than a decade. He’s worked with so many amazing folks in the field. He’s worked with students, he’s worked with teachers, with educators…I’m just so excited to talk to him. If you look up math anxiety, you see his name as one of the folks who is really thinking about this at so many different angles, and we get to talk to him. So enjoy our conversation with Dr. Gerardo Ramirez.

Dan Meyer (04:29):
We are so excited to have Dr. Gerardo Ramirez on the show with us. Dr. Ramirez is an Associate Professor of Educational Psychology at Ball State University. Thanks so much for joining us.

Dr. Gerardo Ramirez (04:40):
Yeah, thank you for inviting me to talk about math anxiety.

Bethany Lockhart Johnson (04:43):
So with your interview, Dr. Ramirez, we are actually launching the season. We’re gonna be talking about all different aspects of math anxiety, and it feels pretty perfect that you are first guest of the season, because of the sheer breadth of research and conversations you’ve had about math anxiety. Could you start us off kind of telling us a story of how did you get interested in studying math anxiety? Or why, you know, why did you dive into this topic that, you know, I think a lot of folks might…like, if you’re on a plane, and you say, “Oh, I study math anxiety,” what kind of reaction are you gonna get?

Dr. Gerardo Ramirez (05:24):
Oh, sure. Yeah. I think most people are actually very interested because they all have their own story about feeling anxious about math, or just being anxious about evaluation situations that involve math. And, yeah, they wanna share those stories. People feel quite comfortable talking about their anxiety about math, for some reason. But for me, I started off, when I was in undergrad, I was studying to take the GRE quiz. I was hoping to go into a psych program. But I wasn’t exactly sure what direction yet. As I took some of the practice tests, there’s some situations in which I was very nervous about taking the practice test. And I just noticed that I did really poorly on some of these exams. And so I became very interested in issues like choking under pressure, which means when you underperform relative to what you expected to perform. And so, as I was researching these issues, I started to come across this whole field of math anxiety. And I saw that while there are some people who choke under pressure during tests, there are other people who just have a strong general fear of mathematics.

Dan Meyer (06:29):
That’s really helpful. I can imagine you’re doing a lot of free psychology sessions, free therapy for people on airplanes when they bring to you their own stories of math. So let’s thank you for your service in that sense. I’m super-curious. So Bethany and I have both taught math. We both have seen firsthand what it looks like when a student is anxious in math class, though maybe we don’t have kind of the clinical language to describe it. And I’m curious, from a clinical sense, how do we define math anxiety?

Dr. Gerardo Ramirez (06:57):
Sure. So first off, math anxiety is not something that you would find in the DSM, for instance. But we generally define that as a fear or apprehension to situations that involve math. So it doesn’t have to necessarily be educational situations. It could be someone asks you a math-related question during a party, or you have to calculate the tip at a restaurant, for instance. It doesn’t have to be about schooling situations, although that’s obviously where it seems to matter a lot for many people. So it is basically a fear or apprehension to situations that involve math. And I think distinguishing the term “fear” from “anxiety” is really important here. A lot of times people use those terms interchangeably, and the term “fear” is obviously within our definition of math anxiety. But oftentimes what differentiates anxiety from fear is that, anxiety is—think of it like a recipe. Anxiety is fear plus a little bit of unknown. OK? So if, for instance, if you hated snakes, and they threw a snake at you, you’d be in intense fear. Whereas if you hated snakes and they said, “There is a snake in the room, but I’m not gonna tell you where,” that’s gonna cause anxiety. And so the reason why we call it math anxiety is because a lot of times people experience this fear for a possible unknown future that involves math or possible unknown evaluations that people might have about your competence, because of math. And so for a lot of kids, they feel anxious about how they’re gonna do on a test or whether they’re gonna be able to pass a class or whether they’ll be able to understand what you’re saying in your lessons, for instance. And so the anxiety component really gets at fear of something that’s unknown, but related to mathematics situations.

Dan Meyer (08:47):
Math is somewhere in the ceiling right now. Perhaps I might be surprised with a math situation!

Dr. Gerardo Ramirez (08:52):
Yeah. yep.

Dan Meyer (08:52):
So I have this tendency to assume that every other subject that we teach has it better and easier than math does. It’s not true. I know this is not true. But I’m kind of curious here. Is math anxiety, like, part of a general just set of anxiety around schooling itself? Like, is there a reading anxiety, a writing anxiety, and does that all just flow from the same kind of fount of anxiety around schooling or situations about learning? And what makes math special in this regard? If it is its own special anxiety, for instance?

Dr. Gerardo Ramirez (09:27):
There are different…so some people obviously suffer from generalized anxiety. Right? And so they would, you know, feel anxious both for evaluative and non-evaluative situations. But in the research that we’ve done and that other people have done, there are differences between things like reading anxiety, math anxiety; I’ve also studied spatial and creativity anxiety. A lot of times what we’re trying to do in these studies is we measure all of the above, and we try to show that, look, math anxiety predicts math situations above and beyond these other things. So yeah, we definitely distinguish those things. And so what’s special about math is that, well, I think the symbolic nature is a big part of it. The abstract symbolic nature is just not as tangible to students. They can’t touch it. And so it doesn’t allow ’em to use their full cognitive faculties to play with it, as you might see, for instance, in science. Or it doesn’t allow people to relate math to their own interests the way you might see, for instance, in English. So maybe I hate reading novels, but I’m interested in zombies and you give me a book on zombies, well, ok, great, you’ve connected my personal assets to the topic. Whereas with math, either that’s harder to do or instructors don’t do such a good job of setting that connection up.

Bethany Lockhart Johnson (10:46):
Also, I think, you know, I’ve heard of students being really anxious, let’s say, during a reading session, when teachers used to do—hopefully they’re still not doing it—the popcorn reading, where you just randomly call on a student to read out a sentence. Right? But you don’t really hear students or adults talking about, “Oh, no, no, no, I don’t read; I don’t mess with reading.” You know? Whereas with math, you do hear, “Oh, I’m not a math person. Oh no, no, no, don’t ask me any math questions.” And that is such a distinction.

Dr. Gerardo Ramirez (11:18):
Yeah. And I think a lot of that’s because it’s just so common. As an adult, to be nervous about reading is kind of an uncommon thing. So people feel a stigma around admitting that. But math is something that everyone feels like they’re inadequate in. And so there’s a lot of comfort in telling you how they’re just one of the many people who don’t like math. And that, you know, can have a lot of different consequences and outcomes. I think on the one hand, I think for a lot of kids it becomes a normalized message that if you fear math, that’s OK, join the club. Right? But we have to be careful about that, ’cause a lot of math anxiety researchers will oftentimes say, part of what leads to math anxiety is adults normalizing that it’s OK to be scared of math. So I think a lot of times adults, teachers, for instance, math teachers, they’ll tell kids, “You know, if you’re scared, that’s OK.” And so a lot of the math anxiety community says, “No, no, no, you’re not supposed to do that.” But my recent view is different. I view that as a form of validation. Because math is hard. And so telling kids, “Hey, look, it’s actually easy if you just try,” I don’t think that’s true. It’s actually just hard. And I think even if it was easy, to the kid, it feels hard! And I think something that’s not really well-studied right now in our field is the value of validating people’s math negative math experiences. We don’t want to validate that, ’cause we think that we’re gonna reinforce that. But actually, I think the opposite. I think when you validate people’s negative math experiences, it helps ’em to feel that they can handle it. They can start to take control over their own emotions.

Bethany Lockhart Johnson (12:52):
I love that. And I, I actually, I think that’s so powerful, what you’re talking about, that validation. I taught kindergarten, and I vividly remember being in a parent-teacher conference and that parent saying, “Oh, I wasn’t a math person either,” right? Or, you know, their language and their experience with their own math schooling, their anxiety about math was actually impacting their students’ experience of math. Or the conversation that, when I would go to talk about a math assessment, let’s say, you could see the parent actually tensing up. And there was this moment of validation, that I felt like we needed to make space for that in the conversation with the parents, right?

Dr. Gerardo Ramirez (13:38):
Yeah.

Bethany Lockhart Johnson (13:38):
Like, this is a real thing. And we are working on teaching students that math is something that gets to—your experience with math gets to look all sorts of different ways. And it’s OK if we, you know, make a mistake, or if we kind of only get this part, but we’ve really got that part. Or let’s talk about it; let’s write about it. So I really feel like that that validation is something that’s so missing. And instead of the validation, like you said, you see folks being like, “Oh yeah, me neither. I’m not a math person either.” Right?

Dr. Gerardo Ramirez (14:10):
Yeah. I think…part of the reason why people are comfortable sharing this because they’re looking for validation also. When they say, “Oh, I’m not a math person,” you know, I think they’re hoping that, you’ll say like, “Yeah, me neither,” or “Of course not, ’cause math is terrible.” Right? They’re looking for validation, not to reinforce their perspective, but to feel that it’s OK not to be a math person. And I think that’s one of the techniques that I’m trying to work on in my research right now, is to provide evidence that actually people will work harder when you validate their math experience. You don’t have to tell them a positive story per se. If your current story is “Math is hard and I’m very, very anxious; I’m scared,” then we can just validate that and help you work through that. And it actually will strengthen our relationships. Because if you’re a student and you’re struggling with math and I tell you, “Yeah, it’s hard; it’s OK to struggle with math,” that makes you feel seen. And that’s gonna lead you to want to ask me more for help, because I’m someone who understands you. And that’s a great, you know, remediation opportunity.

Dan Meyer (15:14):
A common thread that I think I’m seeing here in several answers is that math sometimes asks students to disassociate part of themselves. Where success in math oftentimes means working from an a level of abstraction with symbols, like you said, that can feel alien. Like, who am I here? And in the same way, I love that you’re proposing we validate and reassociate people with a very deeply felt part of themselves that is anxious about mathematics.

Dr. Gerardo Ramirez (15:44):
Yeah. I mean, I think that’s what validation’s supposed to do, right? So a lot of us, when we feel these strong emotions, we wonder, “Is this even a real thing? Are other people feeling this? Is there something wrong with me?” So we feel the emotions, but we can’t actually deal with them, because we wonder if they’re legitimate. And so when someone says, like, “Yeah, this is hard,” it crystallizes that emotion. And once something is made real, you can actually choose how you want to deal with it. Some kids are gonna deal with it by staying anxious. But some people are gonna choose to deal with it by saying, “Well, there’s nothing I can do about it now; I have to take this math test, so I’m just gonna think positive.” And that’s great. If the kid can end up saying that to themselves, that’s much more effective than me telling the kid, “Hey, you just gotta think positive. You’re gonna start the test anyway.” And so we want the kid to make meaning of their experience, and the way we do that is by crystallizing their emotions through validation.

Dan Meyer (16:36):
Yeah. I love that. And so what you’re proposing there, I think, sounds like, a solution, like a post-talk solution after students are feeling anxiety.

Dr. Gerardo Ramirez (16:43):
Yes.

Dan Meyer (16:43):
To validate and empathize.

Dr. Gerardo Ramirez (16:45):
Yes.

Dan Meyer (16:45):
And over the course of our season, we hope to explore a lot about solutions to math anxiety that are preventative, that reduce the odds of anxiety arising, through instruction and curriculum, before it arises. And I’m just wondering if you’ve seen anything that would hint at either specific or general words of wisdom you wanna share with the educators, about not just addressing it after the fact, but preventing math anxiety before it arises?

Dr. Gerardo Ramirez (17:14):
To be honest, at this point, I haven’t seen enough evidence for me to recommend anything concretely as an intervention for math anxiety, or an intervention to prevent its development. All I can really do here is rely a lot on the more broad cognitive-behavioral research on anxiety, which says that one of the ways we prevent people from developing anxiety is by helping them to make more positive appraisals of challenge situations. So a lot of times, when kids are challenged, they don’t know how to interpret that. “What does it mean that I’m struggling with this thing?” And so that’s where I think a lot of teachers can help students’ interpretations of that. ‘Cause if you leave kids to their own devices, they’re gonna think, “I’m struggling because I’m stupid. I’m struggling because I’m not good enough. I’m struggling because my dad is right; I’m gonna be a failure.” You know? They’re going to impose an interpretation to a challenge situation regardless. And so, as teachers, one thing we can do is we can help shape that interpretation and say, “What does it mean to struggle with math? People will say it means you’re stupid. That’s one interpretation. What’s another one? It means that your brain is working really hard to think through something. That’s another interpretation. What’s better? What do you think is more helpful?” And then, helping students to see how interpretations matter to how you ultimately feel about something. And that’s a very metacognitive way of thinking about things. So yeah, I would say that one way to prevent it is to help students to take more positive interpretations of their experience. But another way, and I think a more successful way, I think, is to give students early experiences where they feel efficacious dealing with math. One of the ways you do that, for instance, is by obviously making sure that the students understand the material—but that’s obvious; people are trying to do that. One of my favorite recommendations is to keep reassigning assignments, the same exact assignment, for, say, three weeks, back-to-back. So if in week one you do the homework assignment, you do OK, you don’t do so great, when week two you do it, you give the exact same assignment, and now the student can see like, “Wow, OK, this was much easier.” And then, week three, you give the exact same assignment; now the kid’s feeling really confident. And the reason why that’s great is because it helps kids to see that they’re growing in confidence. A lot of times kids don’t get to see that because we’re constantly throwing new assessments at them. And so they’re never seeing that growth. All they’re seeing is a new challenge, a new challenge, a new challenge. So I think we need to set up situations where they can feel that they’re growing, when we keep the assessment static. That can be a formative assessment, for instance—doesn’t have to be a summative assessment.

Bethany Lockhart Johnson (19:55):
That feels so powerful and it feels like it really connects to that validation piece, right? We are actually helping to create a culture in our math classroom where we might struggle with something, but we keep revisiting it. And it’s not so much to reach mastery, but as Dr. Megan Franke — we talked to her about this partial understanding and about pulling on those threads of things that you do understand, so that you can build your confidence…build, not just confidence, but build your…I guess, kind of get your footing, right? You’re saying, “Well, I do understand this. I see how this works.” And if I’m revisiting an assignment, I feel like that would give me permission to like, “Hey, I don’t have to have this figured out on the first pass. You know?

Dr. Gerardo Ramirez (20:44):
Yes, yes. Yeah. I mean, I’m gonna give you a silly analogy, but I think it works. You know, a lot of times people will have nightmares, right? And they’ll keep having the same nightmare over and over again, right? And so one reason that we suspect this happens is because they haven’t worked through whatever that nightmare’s supposed to be about. So if, say, I’m scared of driving, I may be having the same dream about driving and crashing over and over. And we keep having these nightmares. And I think math anxiety is kind of like a waking nightmare, where you keep rehashing something because you haven’t had the chance to finally address that dragon. You know? And so if someone was having a lot of fear over driving, then one behavioral approach would be, you know, to work with a therapist to actually get behind the wheel and maybe drive around the same track over and over until you feel comfortable at that, and then the nightmares stop. Well, the same thing is true, I think, about math, math and math anxiety, is that you wanna give people these opportunities to feel confident by going back to that original experience that caused them to feel anxious, and saying, “This one assignment that we did in week three that really freaked you out, let’s try it again now in week five. How was that?” “Yeah, it wasn’t so bad. It was still kind of annoying.” “OK, we’ll we’ll come back to it.” “Now it’s week seven. Now let’s go back to that assignment. How is it now?” “That’s actually…it wasn’t that terrible.” And that gives people the opportunity to reflect on how they’ve grown past that nightmare.

Bethany Lockhart Johnson (22:05):
I have to say, Dan talked about you being like a therapist. I’m like, wait, “How did you know, Dr. Ramirez? I did have this recurring dream! I did! And I had to face it. No, but I had such intense math anxiety in high school and it was debilitating. And the biggest thing for me, I thought I was the only one. I thought there was something wrong with me. I thought, “Why can’t I figure this out?” There wasn’t a conversation about “Here are some tools,” or “Here are some, some, some…”. Like, “This is OK, for you to feel scared about this or overwhelmed!”

Dr. Gerardo Ramirez (22:41):
Mm-hmm. Mm-hmm.

Bethany Lockhart Johnson (22:42):
You know, I think often when we talk about how widespread math anxiety is, I think a lot of folks automatically jump to high schoolers or college students avoiding math courses. But we see this in really young kids.

Dr. Gerardo Ramirez (22:56):
Yeah. So people are…people are just constantly making meaning of themselves, regardless of the age range. And that’s true even with young kids; they are trying to figure out who they are. Right? And so one of the things you see oftentimes with young kids is you ask ’em, “What are you good at?” And they say, “Everything!” And that’s their attempt to, you know, make meaning of themselves. But sometimes they’re not good at everything. Sometimes they actually struggle in math. And I think even early on, they have to make meaning of that. They say, “Well, I’m good at everything except math.” And how do you make sense of that? Well, why not math? “Oh, because math is terrible. It’s not for everybody. You know, it’s not something that I like.” And so, yeah, in a lot of the studies that we did early on, we basically went into these first-grade classrooms with the purpose of trying to assess whether we can actually show variability in kids’ math anxiety, even early on. In other other words, do kids even report feeling anxious about math situations? Or do they tell us that they’re great at everything? And what we found was that in fact, a good chunk of kids are, again, perfectly willing to tell you that “No, certain situations involving math make me very anxious.” Counting or addition, or doing a problem on the board. And the way we do that is by—I think there are probably more sophisticated ways that can be done, but this is the best we have at this point—is we go in there and we ask them, we show them a bunch of smiley faces and anxious faces. And we say, “I want you to tell me how you feel about these different situations that involve math.” And so we say, “If you feel kind of nervous, I want you to point to this face. If you feel very nervous, point to this face.” And we basically will read to them situations. We’ll say, “How would you feel if your teacher asked you to open up your new math textbook and you saw all the numbers inside of it?” And they’ll point to the really nervous face. So right now, those are some of the more reliable assessments for math anxiety among young kids. And that work showed us that even young kids are self-reporting math anxiety.

Dan Meyer (24:51):

Obviously this is worth our study, because we would hope people would not feel anxious in general, and especially if we have a mandated…kids are mandated to be in math classes for their entire childhood. So I see the need for this study, these studies. I’m curious: What are the consequences, though? Like what, what correlates with math anxiety? What are other reasons why we should care about math anxiety and work to remediate it?

Dr. Gerardo Ramirez (25:16):
Oh, sure. So it correlates with their actual math performance. It can correlate when they choose to do homework. Right? So a lot of times, the parents report having to fight with their kids over math homework a lot. And you also oftentimes see a lot of frustration over mathematics specifically. And so it can, you know, not only affect their academic ongoing outcomes, like math tests and math assignments, but it can also affect their relationship with their parents. So if every time you come home, your dad’s screaming at you because you haven’t done your math homework, and when he asks you to solve the problem in front of them, you don’t remember, ’cause you were checked out, ’cause you’re so stressed out, that’s gonna cause a really negative experience. You know, a lot of times people grow up and they still remember their dad screaming at them over the math homework. You know, it’ll affect your relationship with your teacher. So if you’re making me feel incompetent, if you’re stressing me out, you’re not the kind of person I wanna come to for help. So it can predict relational outcomes as well as academic outcomes. And down the line, of course, when it affects students’ opportunities to get into things like AP classes, it affects students standardized test performance and their choice of colleges, as well as scholarship opportunities.

Dan Meyer (26:29):
Once you show that it correlates to performance, then that opens up a whole range of other correlations that are pretty important, it sounds like. Whether that’s career options or, you know, post-secondary education and the like.

Dr. Gerardo Ramirez (26:40):
Yeah. And a lot of times, when people are choosing a career at college, a lot of times students will make a decision specifically based on what career has less math requirements or less math courses. So I think this finding needs to be verified further. But, there’s some studies showing that, for instance, elementary ed teachers, one factor that feeds into the decision to go into elementary ed is the math requirements are very low in elementary ed. So that can…obviously it’s not what we wanna hear, because these are our first formal math teachers, right? For our kids.

Bethany Lockhart Johnson (27:16):
It feels so powerful, the impact that math anxiety can have, not only while you’re in, let’s say, elementary school, high middle school, high school, but then the impacts beyond that in terms of your career. And I shared this last season, when we talked about our personal math story, but I know when I was navigating the deepest part of my math anxiety, I really felt like, maybe this is a reason I can’t be an elementary school teacher. Because I was so worried that I wouldn’t be able…not that I wouldn’t understand the math for fourth grade, fifth grade, but that there was something about my ability to teach it or understand it or develop a love and passion for it that I wouldn’t be able to do. And I really had to reclaim it in my own way. But, you know, something that I think is so powerful about your research is just the applicability — not only to the field of mathematics, but folks’ everyday lives. And the way that you have talked in the past about math being a gatekeeper…I have a family member who, brilliant American Sign Language interpreter. I mean, amazing. Like a dance with her fingers. I could just watch it all day. And she actually didn’t complete the program because she couldn’t complete the math requirements. And I remember talking to her about like, “Well, have you gone to the free tutoring? Have you gone to, you know, this or that?” But it was a paralyzing fear, you know? So Dr. Ramirez, what do you wish educators understood about math anxiety? Or the research about math anxiety? Or maybe even the general public at large, what do you wish folks understood about math anxiety?

Dr. Gerardo Ramirez (28:58):
Oh, I think that a lot of students, they struggle with math. And I think we wanna normalize that struggle as much as possible. We want to create a culture where it’s OK to do math slow; it’s ok to take your time. And I know that’s not possible with a lot of these requirements that a lot of math teachers have to do. But I think if we want to prevent math anxiety, we have to create opportunities to tell better stories. So that’s ultimately what I tell people is, why do people develop math anxiety? Because they had experiences that challenged their competency and they told a negative story. And so making space to reflect in math classrooms about what does it mean to go slow in math, or what does it mean to make mistakes, and then helping kids to tell better stories, I think it’s really the best thing we can do as math educators. ‘Cause you know, your job is not to be a therapist ultimately. You know, there’s only so much math teachers can do. But I think one of the most powerful things we can create is setting up students’ experiences where they feel confident, and they can tell better stories, so they can have better dreams about math.

Dan Meyer (30:06):
Really appreciate this introduction to math anxiety. It’s been a fantastic kickoff to our season. Dr. Ramirez, thank you so much for joining us.

Dr. Gerardo Ramirez (30:14):
Sure. Thank you.

Dan Meyer (30:16):
Thank you folks so much for listening to that conversation with Dr. Gerardo Ramirez, Associate Professor of Educational Psychology at Ball State University.

Bethany Lockhart Johnson (30:25):
Dan, OK, if not for your frantic signaling, I would’ve probably asked another 20 questions. I need to know what you thought .

Dan Meyer (30:34):
I found it interesting at all points. And especially I think I started to understand a little bit better where the anxiety comes from for some students. I got a little bit here, which is that I think math, more than other disciplines, involves alienation. Check that word. You like that? Alienation? I’m into it. I’m feeling it. It’s like…to get good at math, to be successful in math, you gotta, as a kid, lose your attachment to the world you understand. And I mean, “got to” as in like, “you are asked to” — many times, unfortunately, by curriculum and instruction. Which is to say, you’re turning things you can hold onto into numerals. Right? You’re turning the world and its patterns that you can see and touch into Xs and Ys. And I just don’t know that other disciplines deal with that as much. Maybe I’m wrong and just guilty of, you know, “grass is always greener” syndrome here. But I think that’s an experience that kids have in math. And I thought that Dr. Ramirez got at that when he’s talking about the need to validate a student’s experience of anxiety. Like, in treating anxiety, sometimes we alienate people further by just like saying, “Oh, no, no, no, it’s just like, you need to, you know, drill yourself more, practice more,” and kind of invalidate that. So this feeling of alienation, I think permeates a lot of math instruction. I’m looking forward to learning more about that with our future episodes

Bethany Lockhart Johnson (32:00):
Alienation. That’s interesting. I definitely felt, I definitely felt isolated and alone many times in my math journey, when I was having my…you know, in high school, when I was feeling like, “Clearly everyone can look at tan, sign, cosign, and that means something to them.” Right? I think it’s really interesting, because I’m thinking about the other disciplines; I’m running through them, and I’m like, even in science, which can seem abstract, so oftentimes there’s these experiments that accompany these concepts, where you’re like, “Look at this concept made real in front of you.” Right? . And so yeah, that’s really interesting.

Dan Meyer (32:39):
You’re always one step away from blowing something up! Or, you know, dissecting something that’s tangible to you.

Bethany Lockhart Johnson (32:46):
Yeah. That’s really interesting. I did really love how he brought up the abstract. And how, I think, even validating it…he talked so much about validation. Which to me was like, YES. If somebody just said, “Hey, it’s not only possible to have math anxiety, but it also doesn’t mean that you don’t belong here.” If somebody had said that, it would’ve literally changed the trajectory, you know? And I wonder what those conversations could look like in our classrooms, where teachers celebrate that. Like, WHOA, this is a new way to think of this. This is a new way. Asking how many, or what do you notice for this image, through a mathematical lens, or looking…we talked to Alison Hintz and Antony Smith, like mathematizing books, like looking through these lenses — it’s an invitation to step into this other world, right? But there’s not only one way to do it. And I think oftentimes it’s like that anxiety of “Am I gonna say the right thing?” or “Am I gonna notice the right thing?” Right? How do we create that space more, where there’s so many possibilities and we want kiddos to notice what they notice, right?

Dan Meyer (33:54):
You gotta become a certain kind of person to be successful in math class. I feel like is part of the implied deal. Where you’ve gotta—like how you said—say a certain thing or think about a certain thing a certain kind of way. You’re trying to become someone who is not necessarily you. Which I think is fundamentally an experience of alienation, separating you from important parts of yourself.

Bethany Lockhart Johnson (34:19):
I will never, ever dive into mathematics on the scale and level that you have with your PhD. You understand math in a way that my brain just…I won’t get there, right? And yet I’m allowed to call myself a mathematician, with all of my deep dives in elementary math and my love of early numeracy and thinking about how we start thinking about counting and numbers. Right? It’s like, if we make more space for what mathematicians can look like, and what is your personal relationship with math…I mean, that to me feels really exciting. ‘Cause I think we both have something to offer each other.

Dan Meyer (35:03):
I think I have never found early math more interesting than when I talk to early math educators. And learn just like all the different ways that students come to understand a concept that I had thought was simple. Like addition of whole numbers. Whoa! There’s a lot of ways kids do that work, and their brains think those thoughts. And, yeah. That’s a good word there you’re offering us and our listeners.

Bethany Lockhart Johnson (35:27):
Yeah. Yeah. I’m really excited about this season. I think there’s — again, there’s no way we’re gonna cover all facets of math anxiety. But I think having the chance to explore it over the course of a season is going to be really fascinating. And really, I hope, destigmatize it and open up the conversation for our listeners. And, you know, if you listeners…we wanna know what you thought of this episode. Do you have any particular questions? Do you have questions related to math anxiety? Questions related to this episode? We are in development for this season, so we’re gonna do our best to get those questions answered. You can keep in touch with us in our Facebook discussion group, Math Teacher Lounge Community, and on Twitter at MTLshow.

Dan Meyer (36:14):
Next time, we’re gonna go deeper into the causes and consequences of math anxiety.

Dr. Erin Maloney (36:20):
It’s not just the case that people who are bad at math are anxious about it. It’s actually that the anxiety itself can cause you to do worse in math. And that for me is really exciting, ’cause it means that if we can change your mindset, then we can really set you on a path with several more options available to you.

Dan Meyer (36:41):
Til next time folks,

Bethany Lockhart Johnson (36:41):
Bye.

Stay connected!

Join our community and get new episodes every other Tuesday!

We’ll also share new and exciting free resources for your classroom every month.

What Dr. Gerardo Ramirez says about math

“A lot of students struggle with math, and we want to normalize that struggle as much as possible. We have to find opportunities to tell better stories and reflect on our experiences.”

– Dr. Gerardo Ramirez

Associate Professor of Educational Psychology, Ball State University

Meet the guest

Dr. Gerardo Ramirez obtained his Ph.D. from the University of Chicago, where he studied the  role of teachers and parents in shaping the math attitudes of their students, as well as reappraisal techniques to help students cope with anxiety during testing situations.

Dr. Ramirez is currently an associate professor at Ball State, where he examines the role of frustration, empathy, and cultural capital in shaping students’ success and persistence.

A man with glasses, a beard, and a receding hairline wearing a suit and tie, pictured inside a circular frame with simple graphic accents—perfect for representing math teacher resources or the math teacher lounge.
A laptop displaying a Facebook group page for "Math Teacher Lounge Community," featuring profile photos, a group banner, and geometric shapes in the image background.

About Math Teacher Lounge

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

S4 – 03: LIVE from NCTM with Bethany and Dan

Hosts Bethany and Dan, both smiling, in a promotional image for the "Math Teacher Lounge" podcast, Season 4 Episode 3, titled "Live from NCTM!" with an

In this episode, co-hosts Bethany Lockhart Johnson and Dan Meyer are LIVE with more than one hundred Math Teacher Lounge listeners at the recent National Council of Teachers of Mathematics conference. Listen in as they answer the pressing question: Who is the best teacher in film or television?

Explore more from Math Teacher Lounge by visiting our main page

Download Transcript

Presenter (00:00):
Ladies and gentlemen, from Math Teacher Lounge, we have Bethany Lockhart Johnson and Dan Meyer! <cheering>

Bethany Lockhart Johnson (00:08):
Doesn’t go well that the door was locked. Like, I could not get in! <Laugh>

Dan Meyer (00:12):
Yeah. Gotcha. All right. We’re gonna sit a little bit. Let’s see how that works—

Bethany Lockhart Johnson (00:16):
Hi!

Dan Meyer (00:16):
Yeah. I think we’ll stand up? Or whaddaya think, sit…?

Bethany Lockhart Johnson (00:19):
Should we stand? Hi.

Dan Meyer (00:22):
Hello. Great to see you folks. Yeah, I can hear you.

Bethany Lockhart Johnson (00:25):
Can you hear me? That’s—I know YOU can me. Can you hear me OK? OK! We’re here. Hello. Thank you for like, lining up and coming out and being here. Thank you!

Dan Meyer (00:35):
Means so much to me that you could be here for me, on my show, with Bethany Lockhart Johnson, my co-host. <Audience laughs>

Bethany Lockhart Johnson (00:40):
The hour has just started.

Dan Meyer (00:42):
We’re just getting going. Yeah. If you folks have heard the podcast, you don’t know how much gets cut out. And it’s like, mostly me just having, you know, anxious nerves and saying something silly and then we cut it out and we can’t do that here today. So it should be real fun for all of us, I think. Yeah.

Bethany Lockhart Johnson (00:55):
It’s not true. It’s mostly dancing. “Bethany, can you stop talking? Bethany?” Cause it’s mostly—

Dan Meyer (00:59):
“It’s my turn. It’s my turn! Bethany <laugh>! I haven’t been heard for a while.”

Bethany Lockhart Johnson (01:02):
Dan. We’re at an in-person conference.

Dan Meyer (01:05):
In-person BIG conference, I would say. I’d say a big conference. Yeah.

Bethany Lockhart Johnson (01:08):
And have you been to the Amplify booth?

Dan Meyer (01:11):
I have! Have these people? There’s a claw machine with free socks.

Bethany Lockhart Johnson (01:16):
Yeah. You’re saving me socks, right? That’s what you’re saying. <Laugh> I mean, it’s exciting. How has your conference been so far?

Dan Meyer (01:21):
So far it’s been a blast. I feel fed. I feel like the community’s been awesome. How are you feeling about it?

Bethany Lockhart Johnson (01:29):
OK. Let’s talk about me for just a second.

Dan Meyer (01:31):
Yeah. Talk about you.

Bethany Lockhart Johnson (01:31):
Last night, Dan, was the very first night that I was away from my toddler. <Audience: Aw!>

Dan Meyer (01:38):
Big commitment being here. Thank you.

Bethany Lockhart Johnson (01:40):
I got super-emotional walking back to the hotel after dinner, and then I got in my room, <laugh> I put on pajamas, and I turned on music. I slept so good!

Dan Meyer (01:50):
Yeah. <Audience laughs> Give it up for no kids! <Audience laughs> Hey!

Bethany Lockhart Johnson (01:55):
I love him so much. But I slept all the way through the night. Oh, by the way, I ordered room service in the morning.

Dan Meyer (02:01):
On Amplify.

Bethany Lockhart Johnson (02:01):
That bill’s coming. But it’s been a great conference and I’m so delighted to be here in person and to get to share energy…and hopefully that’s all we’re sharing today. Y’all got your tests, right? Yep. Sharing energy and community today. Because we know it’s been hard. Hardness. Hard.

Dan Meyer (02:25):
Yeah.

Bethany Lockhart Johnson (02:26):
Years. Hard. And to be in person, I know conferences reinvigorate me and I go back into my educational spaces feeling revitalized with new connections and new ideas to try. So yeah, I’ve been excited to be here. And thank you all for being here.

Dan Meyer (02:40):
Yep. I don’t care if I get six different strains of Covid here. I’m just thrilled to be here. <Audience laughs> I don’t know if you’ve had the same feeling, though, Bethany, you folks…I’m a little bit confused to some degree about what we’re doing. I just wanna be really transparent. This is my sarcastic voice but I’m being sincere here. It kind of feels like we’re in a little bit of a time capsule. Like we all got in a time capsule in 2019 and, you know, you open it back up and it’s like, OK, so we’re still, you know, talking about X, Y, or Z protocol for establishing classroom routines or whatever. And I’m like, OK! Like, I loved that in 2019! But I do admit, I’m still trying to figure out a little bit like, what are we doing now? What’s our relationship to the world out there? Things are very different. I have had some great sessions that I’ve enjoyed. I’m also like, still waiting for a session to draw a little blood. Do you know what I mean? Like there’s been sessions…no? OK. You’ve been in these sessions where it’s like, “Oh, ow.” Like, and you look down and there’s and there’s blood there. It’s like, I thought I knew what we were up to. Like, I thought I knew what teaching was and how we relate to the world. I dunno, like in any Danny Martin session in 2019, “Take a Knee” was one, where I was like, “Oh, OK. Like, I’m not as hot as I think I am here. Like, I’m part of a system.” That kind of thing for me draws blood. And I haven’t been in one of those yet. Been some great sessions. I’m a little hopeful that today we draw a little blood and think about what we’re doing here, is my hope here, if that’s OK. So Bethany’s gonna moderate that impulse and she’ll be the fun one and I’ll be the blood-drawing one.

Bethany Lockhart Johnson (04:05):
No, I don’t…that metaphor doesn’t speak to me personally. But what I will say is, I get what you’re saying about really wanting to be in that room where there’s like this synergy happening. No promises about that today other than—

Dan Meyer (04:18):
I promise. <Audience laughs> Go on.

Bethany Lockhart Johnson (04:20):
Other than I get what you’re saying. I’ll find my own metaphor that does not involve bloodshed, but.

Dan Meyer (04:25):
Sure. There’s a lot of ways we we could go about this today. And the one that I’m excited about is, you know, we could like, you know, analyze some results from students, and talk about what went into that. Look at classroom video. Lots of possibilities. But here’s what we’re up to today. Hope you’re into it. Which is, we are here in the heart of the entertainment industry. You know, Tinseltown! Um, the Big Apple! Uh…

Bethany Lockhart Johnson (04:47):
No!

Dan Meyer (04:47):
Come on. What do you got here? Um…

Bethany Lockhart Johnson (04:51):
It was daytime at night. Like the lights were so bright.

Dan Meyer (04:54):
The City of Lights.

Bethany Lockhart Johnson (04:55):
There was a movie premiere outside my hotel room, which I was not invited to, unfortunately. But so what are we doing today?

Dan Meyer (05:01):
So here’s what we’re doing. We are gonna settle, once and for all, a question you have not asked yourself yet, perhaps, but will want to know the answer to in a moment. Which is: Who is the best teacher in all of film or television? OK? We’re gonna do that. It’ll be fun. But I hope that in debating this a little bit with a special guest we’ll bring up in a moment, that we will start to uncover some truths about what makes good teaching. How that’s different from teaching as we see it in movies and tv. Why middle-class America wants teachers to look a certain way in movies and tv. What all that means. And it’ll be awesome. I think. I’m hopeful it’ll be awesome. So what we did here is we’ve invited eight people. Eight folks you people may have known. You’ve been in their sessions today, in this conference, perhaps. And asked them: Who’s your fave? Like, we might have our favorites, but we wanted to democratize it a bit. So asked some cool people who you folks like, who are very smart and thoughtful about teaching: Who’s your favorite teacher?

Bethany Lockhart Johnson (05:58):
A few of whom are in this room. Thank you for your submission.

Dan Meyer (06:00):
Thank so much. Yeah. We’ll see what happens here. <laugh>

Bethany Lockhart Johnson (06:03):
As they shrink down.

Dan Meyer (06:03):
Yeah. Might draw some blood that I don’t mean to right now. We’ll see. OK.

Bethany Lockhart Johnson (06:06):
That metaphor, what IS that??

Dan Meyer (06:07):
Yeah. Yeah. I love it. I’m still going with it. <laugh> And you folks will be a huge part of this. THE part of this, really. So what will happen is I’ll share with you our first nominees. A few of us will make a case for our favorites, or least favorites, as the case may be sometimes. And then by applause, by acclamation, you folks will decide who wins and advances to the next round. Start with eight, move to four. You folks know math.You know where this goes. OK.

Bethany Lockhart Johnson (06:34):
No, keep going. Keep going.

Dan Meyer (06:36):
Two, then one.

Bethany Lockhart Johnson (06:36):
Yeah. Got it.

Dan Meyer (06:37):
Then a half of it. No?

Bethany Lockhart Johnson (06:38):
He had to school me on the making of brackets. But we got it. Yeah.

Dan Meyer (06:41):
How brackets work.

Bethany Lockhart Johnson (06:41):
But we got it. March Madness, what?

Dan Meyer (06:44):
Yeah, in order to do this right, we had to bring up—all the folks that you’ll see are also former Math Teacher Lounge guests, or like, just fan favorites. And we’re also bringing up a former Math Teacher Lounge guest to help us decide this and debate this in a respectful manner.

Bethany Lockhart Johnson (06:59):
New dad.

Dan Meyer (07:00):
New dad.

Bethany Lockhart Johnson (07:01):
You see where my brain’s still at? I miss him. <Laughs>

Dan Meyer (07:03):
Friend from San Diego. Really cool teacher.

Bethany Lockhart Johnson (07:06):
Incredible teacher.

Dan Meyer (07:06):
Works at Desmos and Amplify. And I just want you to welcome up your friend and mine. Chris Nho!

Bethany Lockhart Johnson (07:11):
Chris Nho!

Dan Meyer (07:13):
Come up, Chris. Let’s go, buddy. We didn’t talk about it, but did you want to do the cornball stuff too?

Chris Nho (07:22):
Wow. Would I love to do—

Bethany Lockhart Johnson (07:23):
And then the door could be locked! And then you have to wait and like, just—

Chris Nho (07:27):
Yeah, I’ll skip that part.

Bethany Lockhart Johnson (07:28):
Hi. Welcome. You’re here. We’re here in person.

Chris Nho (07:30):
Very glad to be here. Thank you all for having me.

Dan Meyer (07:33):
Tell me who you are.

Chris Nho (07:34):
My name is Chris Nho. I live in San Diego. I’m a new dad. A three month old, just had. Yeah, she’s actually here at the conference with us in the hotel room. And I promise you she is not by herself. She is with…come on. I was like, “Hey, just gimme one hour. I’ll be right back. I have to do very important work.” But yeah, I think I got invited here because I have opinions and I’m willing to draw…some…blood.

Dan Meyer (08:02):
There we go! Two outta three! We’re good on the metaphor now.

Bethany Lockhart Johnson (08:06):
We’re so glad you’re here. If you haven’t listened to the episode where Chris and Molly and some other public math folks share their ideas and ideas of how to take math out into the world, please listen, because we had a blast.

Dan Meyer (08:19):
Inspiring work. Really inspiring work. Very cool. Cool. OK. Right on. OK.

Bethany Lockhart Johnson (08:23):
Let’s do this!

Dan Meyer (08:24):
Let’s get started here. Yeah! <Audience cheers> Yeah. And we might ask you who your favorite teacher is, who’s missing from our list of eight? We might have forgotten some people. Anyway. All right. So here’s our first two. Our first two are nominated by way of, let’s see, um, Mandy Jansen is a professor at the University of Delaware. Got some awesome talks here this week, a Shadow Con talk last night. She’ll be nominating one. And also, um, Lani Horn is a professor at Vanderbilt, also extremely cool, prolific author and speaker, just all-around great human and friend of teachers everywhere. And she’ll nominate another in this bracket, which is the Northeastern Comedy bracket, Northeastern comedy bracket.

Bethany Lockhart Johnson (09:06):
It just worked out that way.

Dan Meyer (09:07):
Yeah. Here it is. Here is Tina Fey in Mean Girls.

Tina Fey in Mean Girls (09:12):
“OK. Everybody close your eyes. All right. I want you to raise your hand if you have ever had a girl say something bad about you behind your back. Open your eyes. Now close your eyes again. And this time I want you to raise your hand if you have ever said anything about a friend behind her back. Open up. It’s been some girl-on-girl crime here.”

Lani Horn (09:52):
I am nominating Sharon Norbury from Mean Girls as the best movie math teacher. She is an awesome teacher who is always there for her kids. She always sees the best in them. She shows that she can forgive even some pretty bad behavior, if she sees that kids are trying. She’s a strong feminist who makes sure that smart girls don’t dumb themselves down just to impress boys.

Tina Fey in Mean Girls (10:22):
“Katie, I know that having a boyfriend may seem like the most important thing in the world right now, but you don’t have to dumb yourself down to get guys to like you.”

Lani Horn (10:30):
She’s also super hard-working. She works three jobs. She’s always there for the kids. She plays piano in the talent show and takes them to Mathlete competitions. And she’s also socially aware. And when things go really badly among the girls, she does some pretty creative things to try to get them to be kinder to each other.

Dan Meyer (10:54):
OK. That’s one.

Bethany Lockhart Johnson (10:55):
Helen Case.

Dan Meyer (10:57):
All right. Settle down. Settle down. Settle down. All right.

Bethany Lockhart Johnson (10:59):
Piano too!

Dan Meyer (11:00):
Bethany’s already trying to bias people here. All right. Chill out. Hold on. So next one is Mandy Jansen with Jack Black from School of Rock. Uh-oh. Uh-oh.

Jack Black in School of Rock (11:09):
“What was your name?”

Kid in School of Rock (11:10):
“Katie.”

Jack Black in School of Rock (11:11):
“Katie. What was that thing you were playing today? The big thing.”

Kid in School of Rock (11:14):
“Cello.”

Jack Black in School of Rock (11:15):
“OK. This is a bass guitar and it’s the exact same thing, but instead of playing like this, you tip it on the side. Chellooooo! You’ve got a bass! <Laugh> Try it on.”

Mandy Jansen (11:25):
And I’m nominating for best teacher in a film Jack Black as Dewey Finn playing Mr. Ned Schneebly in the film School of Rock. So why this portrayal? First of all, playing a longterm sub. Those are so hard to find right now. <Audience laughs> Really hard. And then he teaches using class projects. That’s brilliant. Integrated learning. And then love this. He gives students roles and tasks that are differentiated and align to the specific strengths that each student has.

Kid 2 in School of Rock (12:05):
“I can also play clarinet, you know!”

Jack Black in School of Rock (12:06):
“I’ll find something for you when we get back from lunch. I’ll assign the rest of you killer positions.”

Mandy Jansen (12:13):
And the film culminates in a performance of a collaborative song that they all wrote and performed together. And the students experience that collaboration and teamwork and creating something beautiful is much more important than winning first place. And finally, one of the songs that the character sings in the film is “Math is a Wonderful Thing.” Can’t beat that.

Dan Meyer (12:40):
All right. That’s tough. That’s tough. So here’s the deal. What we have right now is just a quick minute—so Bethany, you ranked, we all ranked our own faves here outta the list of eight. And Bethany put Jack Black in School of Rock a bit higher than Tina Fey in Mean Girls.

Bethany Lockhart Johnson (12:54):
Missed the piano part though.

Dan Meyer (12:55):
And Chris, vice versa here. So Bethany, would you start us off and just make a quick case here for Jack Black versus Tina Fey?

Bethany Lockhart Johnson (13:01):
OK. So here’s what I’m thinking. There’s been rumor that maybe they’re putting less than credentialed people into classrooms to fill teaching gaps. I mean, just rumor. And so here’s this guy who is a rocker. He is not a substitute. He has no teaching training. And yet he goes in there and it turns out that he has the ability to see students’ potential and to recognize their unique abilities. And like Mandy said, he really tapped into, like, he saw them and said, “No, more is possible for you than what you think is possible.” And there’s like real sub anxiety. When you walk in, you can either be like, happy there’s a sub, but I was usually really nervous. Right? And he goes in and he makes that classroom into a home.

Dan Meyer (13:53):
Wow.

Chris Nho (13:54):
Wow.

Dan Meyer (13:56):
Chris, speak on it. Tina Fey needs you. Chris.

Chris Nho (13:59):
Tina Fey. Here we go. I’m gonna argue here that—when was that movie made?

Dan Meyer (14:03):
T is for terrific. I is for Interesting.

Chris Nho (14:06):
Decades ago. And I’m gonna argue that Tina Fey was very progressive for her time. OK, let’s talk about social emotional learning. Hello. <Audience laughs> Love that. Right? Stand up if, I mean, she’s getting people to talk about their emotions. And there’s a curriculum. But let’s just pause, because that’s not what’s really happening in the classroom right now. So social emotional learning, I think she’s, she’s got that a lot. And then number two, you know, if you remember the plot of Mean Girls a little bit, she gets her name written in that Burn Book. Like she sees what they say about her. Restorative justice. Let’s go. <Audience laughs>.

Dan Meyer (14:38):
Whom amongst us. Yes.

Chris Nho (14:40):
You write Mr. Nho in the Burn Book?? Well, your grade book is gonna look like a Burn Book! OK? <Audience laughs> Tina Fey, Tina Fey, she was like, “No, you know, know what? I’m actually gonna spend more time with you. You’re gonna become a mathlete.” And Lindsay Lohan discovers—she drops the most iconic line in all of math education. “The limit does not exist.” Thank you, Tina Fey, for that. For that gift.

Dan Meyer (15:04):
Bless. Bless you. Tina Fey. Wow.

Bethany Lockhart Johnson (15:05):
Oh, man. Wow.

Dan Meyer (15:09):
Let’s see what the people say here. I do wanna just add one quick thing about—it’s interesting to me how often in these movies—just kind of go in a little bit, zoom out just a minute—how often it’s a teacher who has no training as a teacher. <Bethany laughs> I am kind of curious why it is. Like, those are the movies that get hot, that get made. Again, these are all kind of a mirror of the taste of the moviegoing public. You know what I’m saying? Like, these, these are not movies—I wanna believe they are made for me and for us as teachers. But they are not. There’s not enough of us to justify, you know, Jack Black’s, you know, M&M budget or whatever he’s got going on in his trailer or whatever. That needs to be for everybody in middle-class America. So what is it about middle-class America that wants to see teaching as something that anybody can do? Just like, you know, just, just run up there in your van and make it happen.

Bethany Lockhart Johnson (15:54):
Magic magically manifests.

Dan Meyer (15:56):
Yeah. Manifest. Yeah. That’s just interesting to me. I just toss that out there as some red meat. Let’s see what the people say here. All right, OK, so you’re ready. Let’s get the bracket going here. The question is Tina Fey versus Jack Black. You had a moment here. Just whisper to someone real fast who you’re going for here real quick. What are you thinking here? <Crowd murmuring> All right. Crowd’s buzzing. Crowd’s buzzing. Would you folks…? All right. Bring it back. Go ahead and make some noise for Tina Fey. <Crowd cheers> OK. OK. Make some noise for Jack Black! <Crowd cheers> Judges say Tina Fey. Tina Fey moves on. All right. All right.

Chris Nho (16:44):
Stunned. I’m stunned. I’m speechless.

Bethany Lockhart Johnson (16:46):
Tina Fey moves on. Wow.

Dan Meyer (16:48):
This has exceeded my expectations in terms of having some fun, but also getting deep, getting deep and real about teaching. I’m into this right here. Yeah. What’s up?

Bethany Lockhart Johnson (16:54):
That’s the goal. That’s the goal. OK. You wanted blood? Oooh, this next matchup might just be where that blood comes forth! OK. Stretch. Warm up. Dan Meyer, who’s up next?

Dan Meyer (17:11):
We’ve got the animated/animatronic round here in the Southeast. And repping the two contestants here, who do we have? We have Allison Hintz, professor, author outta Washington, as one of the two nominators. And the other nominator is one of my heroes, though we’ll find out very wrong about this nomination, Jenna Laib, who’s in the crowd, and I’m trying not to make eye contact here. <Laugh> And here are the two nominations. A couple minutes each. And then we’ll chat about it. And one of us will probably die. But we’ll see how it goes.

Allison Hintz (17:50):
A long, long time ago, in a galaxy far, far away, MTL, we began learning from the Jedi Master of Teaching. With the Socratic and experiential approach. With unparalleled mindfulness, compassion, and humility. The best teacher in TV and film, Yoda is. <Audience laughs> Yoda lives the values we share as teachers and learners. He humbly comes alongside us as we construct new knowledge.

Yoda (18:29):
“You must unlearn what you have learned.”

Allison Hintz (18:32):
Yoda allows us to struggle and sees mistakes as critical to learning.

Yoda (18:39):
“The greatest teacher, failure is.”

Allison Hintz (18:43):
Yoda values curiosity and reminds us of the beauty and joy of teachers learning from children.

Yoda (18:52):
“Truly wonderful, the mind of a child is.”

Allison Hintz (18:59):
MTL! Join the Resistance! Let the force flow through you in declaring, the best teacher in TV and film, Yoda is.

Dan Meyer (19:18):
Give it up for Allison Hintz! All right! <Audience applauds>

Bethany Lockhart Johnson (19:20):
Alison! And to have that on hand too, which Is kind of perfect.

Bethany Lockhart Johnson (19:26):
Just to be clear, the helmet is not a part of a Zoom background.

Dan Meyer (19:29):
You may evaluate the quality of the nomination based on the costumes of the nominator. That is acceptable. That’s acceptable.

Bethany Lockhart Johnson (19:35):
That is a REAL HELMET.

Dan Meyer (19:35):
All right. The next nominator here, this one is from Jenna Laib, math coach, all-around stellar human. Here we go. This is Ms. Frizzle.

Ms. Frizzle (19:42):
“Single file, class. Our rotten field trip has only just begun.”

Jenna Laib (19:47):
And I think that the best teacher from TV or movies is Ms .Valerie Frizzle from The Magic School Bus. First and foremost, Ms. Frizzle believes in her students. She encourages them to take an active role in their learning, and also to advocate for change in their local community. For example, there’s an episode where there is a logger who’s gonna cut down a rotting log that would benefit the local ecosystem. And the students figure out a way to convince him to leave the log so that all of the animals and the plant life can benefit. She orchestrates really challenging situations for these students, and she allows them the space to ask questions and engage in problem-solving and puzzle their way out of these really, really difficult scenarios. Ms. Frizzle has unmatched pedagogy. She’s bold, she’s innovative, and she’s a major proponent of experiential learning. So these students are heading straight into a storm to learn about weather systems. <Audience laughs> These students are heading into the human body to learn about digestion and disease. They literally get baked into a cake to learn about some chemistry and reactions.

Children in The Magic School Bus (20:54):
“What’s happening?” <Audience laughs> “Why is it suddenly getting so hot?” “Maybe it’s because the floor is on fire!” <Audience laughs>

Jenna Laib (21:02):
This pedagogy is all led by her outstanding catchphrase, which is:

Ms. Frizzle (21:06):
“Take chances; make mistakes; get messy!”

Jenna Laib (21:14):
From her pedagogy to the classroom community that she creates, Ms. Frizzle is an inspiration, and that is why I think that she is the best teacher from TV or film. <Audience applauds>

Dan Meyer (21:25):
Right on! Give it up for Jenna. Give it up for Jenna. All right. I’m gonna take first pass at this. Chris knows my argument already, so I’m gonna take this here. I see some of you are feeling how I’m feeling on this one. OK, so I don’t have tons to say in favor of Yoda. I think it was all true what Allison said. I think the costume was banging. It was awesome. So there’s all that, but I have more to say against Ms. Frizzle than for Yoda.

Bethany Lockhart Johnson (21:48):
No, no, no. Wait a second!

Bethany Lockhart Johnson (21:49):
Let’s let it happen. Bethany, I’ve come prepared.

Dan Meyer (21:54):
I may have made a misstep here, I realize.

Bethany Lockhart Johnson (21:56):
I’ve come prepared.

Dan Meyer (21:56):
So I think Jenna is all correct. I think those clips spoke for themselves. I think that what they add up to, to me, is not “great teacher,” but more “someone who should be locked up.” <Audience laughs> Or at the very minimum, “someone who should be kept away from children.” <Audience laughs> Do not let that woman around children. I mean, check it out. Look, I don’t wanna throw down credentials. I’ve been to grad school, though. I know how this works. When your brain is stressed, you get these—all the cortisol happens. Your working memory shrinks up. You cannot learn when you’re stressed. And those kids, like whatever lesson Ms. Frizzle is teaching by sending them into an oven, I repeat, an oven <audience laughs>, like, they’re not gonna learn anything ’cause their brains are freaking out with stress and fear. OK?

Bethany Lockhart Johnson (22:41):
“What’s happening??”

Dan Meyer (22:43):
“What’s happening? Am I on fire? Well…I’m learning lots, though! Sure is magical!” <Audience laughs> It’s like, “No. Get that woman out of a classroom.” That’s my opening and closing argument. Right? There’s all it is.

Chris Nho (23:01):
All right. All right. All right.

Bethany Lockhart Johnson (23:02):
Chris knows.

Chris Nho (23:03):
I’ve got, I’ve got lots to say. First off, I think Dan was in charge of the editing of those video clips. So let’s let that be—you know, let the record stand. <Audience laughs>

Dan Meyer (23:11):
Where’s the lie though? Where’s the lie?

Chris Nho (23:14):
And, you know, second, I think, um—this is the guy up here saying, “I wanna see blood.” You know? And then he has a teacher who literally takes the students into a blood cell and, and you get a little scared! You get a little worried for the students, you know? So I just don’t get it, Dan. This or that. OK? I think Ms. Frizzle—so I actually went to a project-based learning school. I taught at a project-based learning school. And the best thing about it is like, your learning, it doesn’t just stay in this box of math lesson or writing lesson, history lesson. And I think with Ms. Frizzle, like you can’t help but learn things because you are getting baked in a cake. <Audience laughs> Yeah, it is a little scary. And I imagine there’s cortisol and things happening, but guess what? Probably the next episode, they go into their own brains and explore what’s happening. That kind of thing. You know?

Dan Meyer (24:07):
The kids that survived, just be clear. <Audience laughs>

Chris Nho (24:10):
Yeah. OK. Would I want Nora, my three-month-old, to be babysat by Ms. Frizzle? Maybe not. <Audience laughs> But what I have to say about Yoda is Yoda maybe wins the best tutor award. Give it up for Yoda’s Best Tutor Award.

Bethany Lockhart Johnson (24:24):
Oh, yeah…

Chris Nho (24:25):
That ratio’s looking really nice. I could teach the heck outta Luke Skywalker. OK? But 20 little Luke Skywalkers running around. I’m not sure. OK?

Dan Meyer (24:34):
Luke did survive the training, though. <Audience laughs> So that’s awfully nice to say about it. All right, Great words from Chris here. I’m still not convinced. We’ll see how you’re convinced here. Would you whisper to someone where you’re leaning here? Frizzle or Yoda? <Audience buzzing>

Chris Nho (24:47):
I tried. I tried.

Dan Meyer (24:53):
All right. That’s enough of that. Let’s hear it folks. Give it up for Yoda. <Audience cheers> Give it up. Give it up. You. Give. It. Up.

Chris Nho (25:05):
Hey, next. Next.

Dan Meyer (25:06):
All right. All right, all right. <Mutters> Give it up for Ms. Frizzle. <Audience cheers louder> I dunno, it’s pretty close. Call a tie. Maybe Yoda? Yoda by nose? <Audience laughs> All right. All right. Let’s…let me see who’s it. Let’s get the people advancing here. I’ll keep on moving here.

Chris Nho (25:26):
As you’re doing that. Um, Dan ranked Ms. Frizzle last in his personal ranking. And I ranked Ms. Frizzle very high, so we knew this one would be spicy,

Bethany Lockhart Johnson (25:36):
<laugh> Spicy it was. Are you having a good time so far? <Audience cheers> So while we love seeing these images and we love seeing these video clips, at the core, what are these things about how teachers are portrayed? And how accurate is that to our real lives? I mean, besides the cake part, right? That my chemistry class did often feel like I was on fire. I was so stressed in it. Um, we’re ready?

Dan Meyer (26:05):
Yep. Great. We’re ready, we’re up here. So the next two nominees are coming to you folks from Tracy Zager, who is the editor of my book, forthcoming in 2027 at the earliest and 2032 at the latest. And also your very own Zak Champagne from Florida, here in the room. Hey, Zak. Zak, let’s see who the nominations are. I’m gonna skip past that, didn’t work out so well for me. Here it is. This is Marshall Kane from the TV show Community.

Michael K. Williams in Community (26:32):
“You two complete your case to the class and let them decide your grades.”

Joel McHale in Community (26:37):
“Professor, thank you.”

Michael K. Williams in Community (26:40):
“It’s not a favor, Mr. Winger. Man’s gotta have a code.”

Joel McHale in Community (26:44):
“Awesome.”

Zak Champagne (26:46):
This is a pitch for an underdog. This teacher didn’t stand on desks or encourage his students to follow their musical passions. In fact, this teacher was seen only in a few episodes of my favorite TV show of all time, Community, Community has set at Greendale Community College in Colorado. And in season three, we get to meet Dr. Marshall Kane, a biology professor whose story is an inspiration to anyone who just takes the time to look and listen. Dr. Marshall Kane slowly earned his PhD while in prison, serving a sentence of 25 to life. In his classroom, he inspires students to love biology, question why LEGO has become so complicated, and randomly pairs his students for group projects to ensure no one feels left out. His greatest performance comes when a group of students believe their yam project was intentionally sabotaged. Dr. Kane took this as an opportunity for some trans-disciplinary real-world learning. So yes, at community college, he felt that a middle-school mock trial was the best way to determine who killed the yam. So let’s all pick the underdog and vote for Dr. Marshall Kane. After all, man’s gotta have a code. <Audience goes “oh!” and applauds>

Dan Meyer (27:53):
Thank you, Zak.

Bethany Lockhart Johnson (27:54):
I have a code.

Dan Meyer (27:56):
Next up is Tracy Zager, nominating an unusual nomination, not a single person, but an ensemble performance. A bunch of people from a movie called Searching for Bobby Fisher. Here we go.

Rapid-fire movie dialogue (28:11):
“What’s that?” “Schleimann attack.” “Schleimann attack? Where’d you learn that from, a book?” “No, my teacher taught me.” “Aw, your teacher. Well, forget it. Play like you used to, from the gut. Get your pawns rolling on the queen’s side.”

Tracy Zager (28:26):
Hey, Math Teacher Lounge. This is Tracy Zager. I’m excited to share my nominee for the best movie teacher. But I have to admit that when I first got the email, I thought, oh, who am I gonna nominate? Because most movies about teachers are highly problematic. They usually have like a saviorism thing, usually white saviors. And I just felt like I couldn’t suggest any of those. So rather than nominate a movie about a single teacher, I wanted to nominate a movie that taught me something about teaching. And that movie is a deep cut. It’s Searching for Bobby Fischer. It’s a movie about a chess prodigy. And what I love about it is that all of the different adults in the movie are in teacher roles in some way. And the student, Josh, the chess player, is a fully realized character, not an empty pail, who pulls from the strengths of each one of those adults while also dealing with their flaws and humanity. And there’s just beautiful synergy in the way he gets the best out of everybody, but also has to overcome some of the barriers that they put in front of him. So I feel like it’s a much more authentic and humbling, but also inspiring, movie about the power of teaching. So if you haven’t ever seen it, check it out. And I can’t wait to see who the other nominees are. Thanks so much.

Dan Meyer (29:53):
Right on. Thank you, Tracy. Wherever you are. <Applause> We’ll move a little quicker here. I’m curious, Bethany, you put Marshall Kane pretty high. I put Bobby Fischer pretty high. What do you have to say about Marshall Kane for us here?

Bethany Lockhart Johnson (30:04):
Well, I just wanna say two things. One is that, like Zak said, he has this code of conduct that he brings in. And he stays true to it no matter what happens. If you saw him in in Community, you know that he held himself up to such high esteem, but not just himself, his students as well. And he took accountability when he felt he had done wrong, even though, well, that’s controversy. But first—oh, the other thing, rest in peace, Michael K. Williams. Oh my gosh. The actor who plays Marshall K. And the thing that I wanna say most of all about it is that he brings his whole self to the classroom. He was in prison for decades. He brings his whole self and says, “This is who I was. This is who I am today. And this is how we can work together as a community.”

Dan Meyer (30:58):
That’s big. I love your comments about code of conduct too. It makes me wish that Ms. Frizzle had a code of conduct also.

Bethany Lockhart Johnson (31:05):
I knew that was coming back!

Chris Nho (31:06):
Two slides ago, Dan. That was two slides ago.

Dan Meyer (31:08):
Can’t let it go. So yeah, I love what you said there. I have no strong beef here either way. Bobby Fischer’s a movie I have loved dearly and can’t be objective about it. I love that the kid in that movie, more than any other movie here, the kid teaches the adults so much through his innocence and how he challenges them and how they’re treating him. Dig all that so much. Will not, will not begrudge anyone any vote either way here. I do begrudge many of you your vote in previous rounds. <Audience laughs> So let’s just, let’s hear. We’re not gonna ask you folks at all to chitchat. We’re gonna move on this one. So would you folks make some noise here for Marshall Kane in Community? OK. OK. And would you make some noise here for Bobby Fischer, the kid in Bobby Fischer, the ensemble? <Audience cheers, applauds>

Bethany Lockhart Johnson (31:56):
Marshall Kane.

Dan Meyer (31:57):
Marshall Kane takes it. All right. Good job, Marshall Kane! All right. Zak’s feeling good. Moving on to the final four here, Zak, right on. OK. Our last—the Northwest Division here is also the large urban district division here. We have a couple different teachers in sets of large urban schools. They’re nominated, they’re advanced by a couple people here. One is past president of NCTM, Robert Berry. And another is Fawn Nguyen, Southern California phenom. Great teacher and friend of lots of us. Um, let’s see who they nominated here. First from Robert Berry, let’s see, who is it here? Janine Teagues from Abbott Elementary.

Abbott Elementary dialogue (32:37):
“Hey, you know what? I’m probably probably gonna be Kenny’s second-grade teacher. Why don’t you just let him get a head start with me today?” “That’d be great.” “Yeah? OK. Hey, Kenny, would you like to be in my group today?” “Not really.” “That’s the spirit.”

Robert Berry (32:54):
My nomination is gonna be Quinta Brunson, the Emmy Award-winning Quinta Brunson from Abbott Elementary. Janine Teagues is the character. She exemplifies care not only from an affect way, but she also exemplifies care in the things that she does for her students. While the scenes in the show are entertaining, they do represent the challenges that teachers experience when they’re trying to meet the needs of her students. So she goes, goes all out for her students and finding resources. She accesses other people to get resources for her students. But the care shows up in the way that she is mindful of their needs. And so, for me, when I think about teachers and teaching, sometimes we can talk about pedagogy, but sometimes we also can talk about those kind of intangibles that makes a teacher a great teacher. It is apparent from her students that she cares about them, she supports them, and she goes all out 100% for her students. Janine Teagues, Quinta Brunson is, I think, is my choice of the best teacher on television because of the realism and the representation that she brings to this character of what teaching is about. <Applause>

Dan Meyer (34:28):
Right on. Right on. OK. OK. Next up, we’ve got, Fawn Nguyen is nominating Erin Gruwell from Freedom Writers. Here we go.

Hilary Swank in Freedom Writers movie (34:39):
“Look, you can either sit in your seats reading those workbooks or you can play a game. Either way, you’re in here till the bell rings. OK? This is called the Line Game. I’m gonna ask you a question. If that question applies to you, you step onto the line and then step back away for the next question. Easy, right? The first question. How many of you have the new Snoop Dog album? <kids move around> OK, back away. Next question. How many of you have seen Boys in the Hood?”

Fawn Nguyen (35:26):
We all learn about Miss G and her 150 students in the movie Freedom Writers starring Hilary Swank. All great teachers share a common set of traits. They care deeply about their students, have high expectations of them, and always believing wholeheartedly that they will succeed. Great teachers go above and beyond, not because they extraordinary—as Anne Gruwell would always refer to herself as an ordinary teacher—but because extraordinary things happen to people when we believe in them, give them hope, help them write their own story with a different ending. So what stood out for me with Miss G is the scope of her reach, the ever-expanding sphere of her humanity. The red tape she had placed on the classroom floor for the line game shows just how much we all have in common despite our differences. Her students didn’t just learn from her; they learned from one another. If you’d like to be part of this expanding sphere to give voice and hope, please check out Freedom Writers Foundation dot org.

Dan Meyer (36:38):
OK. This right here is a tough one for us. Thank you, Fawn. We collectively ranked—that’s our number one seed and number eight seed, which I hasten to say does not have to do with Erin Gruwell, a person, but the portrayal and the movie. So we don’t have like a whole lot of…there’s not a lot of defense we have to offer here of our eighth seed. And I heard like a kind of a little bit of a murmur over the crowd on Erin Gruwell. So I’m more interested than having a defense back and forth. I’d be curious what you, Bethany, think about what, like, what both movies have to say about like, what teaching is, especially teaching urban schools with black and brown kids and lower-class kids, for instance. They both have, I think, very different things to say about them. Do you have thoughts about that?

Bethany Lockhart Johnson (37:19):
Well, it’s interesting because there is some overlap in the sense that the arguments that both Fawn and Robert Berry put out, they both care deeply about their students, right? We’re not gonna argue that. They care deeply. And something that I would say about Miss Teagues is there’s something about the way that she sees not only her classroom, her students, but she sees all of the students in the school as her students. And her idea of resource generation is really helping the teachers to generate resources from their community themselves, and to also realize that the students see themselves reflected in the teachers. And I think that—you know, again, this is not about the real person—but the movie portrayal, and we often see kind of this, for Freedom Writers, we often see this like, Great Last Hope whisked in and her personal sacrifices are what makes these students, these brown and black students’ transformation possible. Because of her sacrifices. Including her marriage. Including, you know, three jobs. And it’s just portrayed in a way that I think really celebrates her sacrifices rather than what the students have already brought—they already come into the room bringing so much as they are, already, without her intervention.

Dan Meyer (38:38):
I love the portrayal of the teacher as part of a community of teachers. Versus in so many of these movies, it’s the teacher as the only person who gets it, you know, oftentimes coming from outside of the world of teaching and everyone’s against them and wants ’em just to fall in line and do the thing we always do, and they’re the outlier. But in Abbott Elementary, it’s like we all rise and we fall together. And teachers are investing in each other’s success, especially with Gregory the longterm sub. We’re all rooting for his, you know, his flourishing. I love that. And yeah. That’s bigtime.

Chris Nho (39:09):
Yeah, I think one interesting thing is that Freedom Writers, when it came out, I think it was like a commercial success.

Bethany Lockhart Johnson (39:17):
Oh, big time. Yeah. It was.

Chris Nho (39:18):
It probably influenced a lot of people to try teaching out. So I do wonder what it says about us, right? Like that we want teaching to fit this narrative, and we wanna be those people who could go into a classroom and <puts on “cool voice”> “Y’all listen to Snoop Dog?” and just have that question HIT. <laughter> And you know, I’ve taught in a large urban school district, and I’ve been that person and I’ve seen other people try and be that person. And I think stepping away from it a little bit, just—it’s a reflection of what people want out of teaching and what they think better education looks like.

Dan Meyer (39:57):
Yeah, yeah. This idea that, so I’m a middle-class person, let’s say, and like, there’s this idea, like, “I know what I would do if I was going into circumstances of impoverishment.” Like I have—

Bethany Lockhart Johnson (40:06):
“All they really need is…”

Dan Meyer (40:07):
…for me to give ’em some real talk and tell ’em, you know, pull their pants up or whatever, listen to Snoop Dog, that kind of thing. And that will be the key. And that’s not how it is in, you know, in Jack Black in School of Rock or Tina Fey school, which are, you know, coded as largely like upper-class or largely white schools. And in those movies, it’s interesting, like how it’s about students discovering themselves, oftentimes. And the central figures are often students. And the students need to reject an oppressive parent figure or something and find themselves. But no, in Freedom Writers, it’s like, “You need to become more like the middle-class teachers who are coming in here to give you this wisdom.” It’s just interesting. I do find it—a pet peeve of mine is when movies portray teachers as only successful if you endure, for instance, the failure of your marriage, or even in Stand and Deliver, for instance, like Jaime Escalante, they depict him having a heart attack. And, like, the job oughta be…easier. <Audience laughs>

Chris Nho (41:04):
Truth.

Bethany Lockhart Johnson (41:05):
That’s the barometer for how much….

Dan Meyer (41:09):
Like, no heart attacks and no divorces related to the job, that kind of thing. I do love how in Abbott—one last thing and we’ll vote and Abbott will win <audience laughs>—is like how, like there, there is a lot of degradation in Abbott, but it’s not a divorce or a heart attack—it’s the petty indignities of asking a student, “Do you wanna hang with me?” And a student says, “Nah, not really.” And that just spoke to me like how it’s not cinematic, but teaching, successful teaching, is like a collection of developing an immunity to students saying, “You’re not hot.” <Laugh> You know? And so I love that. I do wish that there was more depiction of students in Abbott Elementary. It’s a lot of adult stuff. Whatever. Give it up for Abbott, if you would, please. Let’s just get this done here. All right. That’s plenty. That’s plenty. Not gonna ask folks about Freedom Writers. OK, let’s move on to— all right, let’s hear it for Freedom Writers! Yeah. OK, cool. We go, yep.

Chris Nho (42:05):
Plot twist!

Bethany Lockhart Johnson (42:07):
OK, let’s see our final four. Cut and paste. Real time. Real time.

Audience member (42:12):
Where’s Dolores Umbridge?

Dan Meyer (42:14):
Oh….

Bethany Lockhart Johnson (42:16):
Hey, did you hear that? He said, “Where’s Dolores Umbridge?”

Dan Meyer (42:20):
All right. OK.

Bethany Lockhart Johnson (42:20):
See, we missed so many. We could…

Dan Meyer (42:21):
So coming up here, we’ve got in the Eastern Conference, Tina Fey and Ms. Frizzle. Y’all know how I feel about that one. Let’s just get this one done. OK, let’s give it up for Tina Fey. Let’s hear it. <Audience cheers> OK. All right. Yes! Let’s give it up for menace to children everywhere, the terror, the Ms. Frizzle. <Audience cheers> One more time for Tina Fey. Let’s hear it. <Audience cheers> One more time for Ms. Frizzle. Let’s hear it. <Audience cheers>

Bethany Lockhart Johnson (42:59):
Yeah. OK.

Dan Meyer (43:00):
It took ’em one round, but they made the right call in the end. <Laugh>

Chris Nho (43:04):
All it took was 10 minutes of constant Ms. Frizzle-bashing. <Laugh>

Dan Meyer (43:09):
Persevering and problem-solving, that’s my game. Yes. All right. So, do either of you want to influence the audience one way or the other?

Bethany Lockhart Johnson (43:16):
That’s not how I play, Dan.

Dan Meyer (43:18):
Oh, OK. Yeah, that’s true. That’s true. You’re good. On Abbott versus Marshall Kane, should we just let ’em have it? All right. All right. Give it up For Abbott Elementary. Not bad. And for Marshall Kane. OK. OK. I hear Zak and five other people. All right, cool. <laugh> Right on. All right. We got our, we got our finals,

Bethany Lockhart Johnson (43:45):
We did it. We made it to two. And we know: We left out a lot of people. Right? And honestly, I kind of wish we could poll like everyone. I mean, think you put it on Twitter, right? Like, who would you pick? But I would say we had a pretty solid eight there. I’m excited to see who… Look at the little crown he put, you guys. Come on.

Dan Meyer (44:05):
I worked hard for you. For you. <Laugh> Yeah. I liked that it was a good bunch that had a lot of different kinds of qualities…and lack of qualities in some cases. And it allowed us that—I shouldn’t knock her while she’s down, and she IS down, it’s true. <Laugh> And I appreciate the conversation we’ve had, what they have revealed overall about teaching and what the world wants teaching to be versus what it actually is or actually should be. I appreciate that. So let’s settle this here. Give it up, if you would, for Abbott Elementary. <Audience cheers> And give it up for Tina Fey in Mean Girls. <Audience cheers>

Bethany Lockhart Johnson (44:49):
Wow.

Dan Meyer (44:51):
That was close. I almost give that to Tina Fey.

Audience member (44:55):
Yeah, we do!

Dan Meyer (44:55):
I don’t know. That was a bracket-buster for me right there. Yeah. I lost money in the office pool off that right there. Maybe let’s just find out one more time here. One more time.

Bethany Lockhart Johnson (45:03):
Last time.

Dan Meyer (45:03):
Time to summon up all your conviction on one or the other here. No half-measures right now. All right.

Bethany Lockhart Johnson (45:07):
Emmy Award-winning Quinta Brunson.

Dan Meyer (45:09):
Yeah, you saw Robert Berry on that, right? He was like, “Oh, I got one more card to play. Emmy Award-winning.” That’s admissible. That’s admissible. We’ll take that. All right. So…give it up for Abbott Elementary, one last time. <Audience cheers> OK. All right. All right. And give it up for Tina Fey in Mean Girls. <Audience cheers>

Bethany Lockhart Johnson (45:30):
Drumroll, please!

Chris Nho (45:33):
Best teacher is….

Dan Meyer (45:34):
Tina Fey in Mean Girls! Yeah. Not a bad pick.

Bethany Lockhart Johnson (45:39):
I love it. And I think, too, I think we’re gonna have a little bit of a more reflective lens than we thought we did when we see depictions of teachers in film and television. And, you know, hopefully we’ll see some new tropes come in, right?

Dan Meyer (45:55):
Yep. Yeah. Every dollar we spend on movies with lousy teachers is just encouraging these people to make more lousy teacher movies, you know? Awesome. Thank you for being here for a live taping—

Bethany Lockhart Johnson (46:06):
Thank you for being here.

Dan Meyer (46:06):
—of our podcast, Math Teacher Lounge, in a hot room. Appreciate that. Yeah, it’s been fun for us to have you here. Um, super-important, super-important final remark: Bethany loves Oprah and Oprah occasionally, in the show—

Bethany Lockhart Johnson (46:18):
Is she coming?! Is she here?!

Dan Meyer (46:19):
Not here! Not here! Calm down. Calm down. Um, but we do have in Oprah fashion, not something—

Bethany Lockhart Johnson (46:24):
Oh. Oh, OK. Oh, that’s, that’s OK. Sorry. I got, had really excited for a second. As if the Amplify playing cards, The Amplify t-shirts being chucked at you at high speed—I did try to get a t-shirt cannon, and that was quickly ruled out <laugh>. They didn’t know about my rocket arm, right?

Dan Meyer (46:46):
Yeah, you got a cannon. <Laugh>

Bethany Lockhart Johnson (46:47):
Yeah. Oh, that’s a compliment. Oh, is that a compliment? Thank you, Dan. Thank you. Look under your seat because we have five winners. We wanna thank you for being here in person. We wanna thank the folks who are listening. We wanna thank Amplify. Oh my God. Somebody just pulled off the chair tag. You get to take that chair home with you.

Dan Meyer (47:08):
Does anybody have a prize?

Bethany Lockhart Johnson (47:10):
OK, stand up if you…stand up if you…Yes! Stand up if you have one!

Dan Meyer (47:16):
Free set of classroom dry-erase boards, right here. Congratulations.

Bethany Lockhart Johnson (47:22):
And for you who pulled off the chair tag, I don’t know. We gotta we gotta find something for you.

Dan Meyer (47:27):
Put that in your backpack.

Bethany Lockhart Johnson (47:30):
Thank you again for being here. Thank you. Amplify. Thank you, Desmos. Thank you. Dan Meyer.

Dan Meyer (47:36):
Thank you folks. Chris, thank you buddy.

Bethany Lockhart Johnson (47:38):
Chris! Chris Nho, everybody!

Dan Meyer (47:40):
We will be, we will be at—Bethany and I will be at the booth, if you wanna chit-chat and hang out, sign some stuff. Whatever. You wanna have Bethany sign you, she’ll do that. Um, come on down to the Amplify booth and we’ll—

Bethany Lockhart Johnson (47:50):
We’ll talk to you more about Ms. Frizzle.

Dan Meyer (47:52):
Fun and prizes. I will share with my real thoughts about Ms. Frizzle down there. I’d love to see you. Thanks for being here, folks.

Bethany Lockhart Johnson (47:57):
Thanks for listening. Bye.

Stay connected!

Join our community and get new episodes every other Tuesday!

We’ll also share new and exciting free resources for your classroom every month.

What Dan Meyer says about math teaching

“Teaching, more than other professions, is a generational profession. The kinds of joyful experiences we offer—or don’t offer—now affect the experiences students that haven’t even been born yet will have years later.”

– Dan Meyer

Meet the guests

Dan Meyer

Dan Meyer taught high school math to students who didn’t like high school math. He has advocated for better math instruction on CNN, Good Morning America, Everyday With Rachel Ray, and TED.com. He earned his doctorate from Stanford University in math education and is currently the Dean of Research at Desmos, where he explores the future of math, technology, and learning. Dan has worked with teachers internationally and in all 50 United States and was named one of Tech & Learning’s 30 Leaders of the Future.

Bethany Lockhart Johnson

Bethany Lockhart Johnson is an elementary school educator and author. Prior to serving as a multiple-subject teacher, she taught theater and dance and now loves incorporating movement and creative play into her classroom. Bethany is committed to helping students find joy in discovering their identities as mathematicians. In addition to her role as a full-time classroom teacher, Bethany is a Student Achievement Partners California Core Advocate and is active in national and local mathematics organizations. Bethany is a member of the Illustrative Mathematics Elementary Curriculum Steering Committee and serves as a consultant, creating materials to support families during distance learning.

A woman with curly hair and glasses smiles outdoors; a man with short dark hair smiles indoors in front of a blurred math teacher lounge, highlighting valuable math teacher resources.
A graphic with the text "Math Teacher Lounge with Bethany Lockhart Johnson and Dan Meyer" on colored overlapping circles.

About Math Teacher Lounge: The podcast

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

Winter Wrap-Up 03: Ideas to build math fluency

Promotional graphic for "Math Teacher Lounge" episode featuring Valerie Henry, Ed.D., on ideas to build math fluency, with a photo of Valerie Henry in the bottom right corner.

Join us for the third episode in our Winter Wrap-Up! In this episode from season 3 of Math Teacher Lounge: The Podcast, we sit down with Dr. Valerie Henry to talk about math fluency and what that means for students. Listen as we dig into the research, hear Val’s three-part definition of fluency, and explore her five principles for developing it.

Explore more from Math Teacher Lounge by visiting our main page

Download Transcript

Dan Meyer (00:03)

Hey folks. Welcome back. This is Math Teacher Lounge, and I am one of your hosts, Dan Meyer.

Bethany Lockhart Johnson (00:07):

And I’m your other host, Bethany Lockhart Johnson. Hi, Dan.

Dan Meyer (00:11):

Hey, great to see you. We have a big one this week to chat about and some fantastic guests. We are chatting about fluency, which is the sort of word and concept that I feel like people have very, very non-neutral associations with it. A lot of them are very negative, for a lot of people.

Bethany Lockhart Johnson (00:26):

I saw you frown a little. What’s up with that, Dan? You kind of, like, shrank.

Dan Meyer (00:30):

I have strong feelings about it. You know, there’s lots of ways that people go about helping people become fluent in mathematics. And a lot of them are harmful for students, and ineffective. And it got me thinking about fluency as it exists outside of the world of mathematics, where we have a lot of very clear images of it. We’re getting fluent in things all the time. Like, as humans. Human development is the story of fluency. And I just was wondering….Bethany, would you describe yourself as fluent at something outside of the world of mathematics? What is that? How’d you get fluent at it? What was the process?

Bethany Lockhart Johnson (01:05):

Hmm, I think I’m a pretty fluent reader. I read all the time. I’m a happier person if I’ve read that day. I once saw this poster in a classroom; it said “10 Ways to Become a Better Reader: Read, Read, Read, Read, Read…you know, 10 times. Get it? Reading? You get better at reading by reading! So I would say reading. And it’s been kind of cool—I have a one-year-old who, it’s been really exciting slash overwhelmingly anxiety-producing to see him get very fluent with walking slash running, ’cause he’s getting faster every day. And it’s kind of fun. When I think of what’s something somebody’s trying to get fluent with…walking! He’s trying to be more fluid. He’s practicing transitions. He doesn’t wanna hold my hand while he traverses rocky terrain. He’s getting better at it. He’s practicing. What about you? What’s something…?

Dan Meyer (02:08):

I think about driving a lot. I’m a very fluent driver and I think a lot about when I was first a driver, you know? And how l have my hands on 10 and 2, vice grip, and do not talk to me; do not ask me anything; don’t ask me my NAME. I need to focus so hard. And then a year later, you know, I’m driving with one hand, smash the turn signal, take a sip off of whatever, change the CD. And then it’s no big deal.

Bethany Lockhart Johnson (02:38):

Wait, did you pass the first time? Your test?

Dan Meyer (02:40):

Yeah, I don’t like to brag about it. <laugh> But I do all the time. <laugh> But I got a hundred on my driving test. I don’t care who knows it. And I hope it’s everybody. But I guess all of this is just to say there are areas of life where fluency feels natural, with the case of walking. There’s areas of life where fluency feels motivating, with like driving—I wanna be able to switch the CD out or whatever. And there’s areas where fluency feels terrifying and hard to come by, like mathematics, sometimes. So we have a set of guests here. Our first guest will help us figure out what do we mean by fluency? And what’s the research say about what fluency is and how students develop it in mathematics? And then our other guests will help us think about what it looks like in practice in the classroom. What are some novel, new ways to work on fluency? So first up we have Val Henry, Dr. Val Henry.

Bethany Lockhart Johnson (03:32):

So we knew we needed help with the fluency definition, because when we think about it, it’s kind of big, right? And we wanted to look at what research about fluency really says. So we called on Valerie Henry. Val is a nationally board-certified teacher, taught middle school for 17 years, and since 2002 has worked with undergraduates graduates, credential candidates as a lecturer at the University of California, Irvine, one of my alma maters. So after doing her dissertation on addition and subtraction fluency in first grade, Val created a project to study ways to build addition and subtraction and multiplication and division fluency while also developing number sense in algebraic thinking. And the pilot grew and grew over the last 18 years into a powerful daily mini-lesson approach to facts fluency called FactsWise. And when we thought of fluency, the first person I thought of was Val. Welcome, Val Henry, to the Lounge! I’m so excited to have you here. Welcome.

Valerie Henry (04:36):

Thanks, Bethany. And thanks to you, Dan. It’s great to be here today.

Dan Meyer (04:41):

Great to have you; help yourself to whatever you find in the fridge. The names that people write down on those things in the bags are just recommendations. It’s potluck-style here. I’m curious, Val, if you’re, like, on an airplane, someone asks you what you do, and you say you study fluency…what is the layperson’s definition of what does it mean to be fluent in mathematics? And if you can give a brief tour through what the research says about what works and what doesn’t that would really help us orient our conversation here.

Valerie Henry (05:12):

The first thing I have to do when I talk to somebody on a plane is define the idea of fluency. And I often use an example of tying your shoelaces. Because that works with first graders as well as adults. This idea that when we first start trying to put our shoes on and get those shoelaces tied, somebody tries to, first of all, just do it for us. But then of course maybe tries to teach us the bunny-ears approach. And we struggle and struggle as little kids and eventually either the bunny-ears approach or something else starts to work for us. But we still have to pay attention to it. We have to think hard and it’s not easy. And then over time we get to the point where we basically don’t even think about it. When I tie my shoes in the morning. I’m not thinking about right-over-left and left-over-right and all of those things. I just do it. And so that’s a good, easy example of becoming fluent with something. I think what we’re talking about today though, is the basics, the adding and subtracting that we hope kids are going to have mastered maybe by second grade, and the multiplication and division facts that we wanna maybe have mastered by third, maybe fourth grade. So now what does that mean to become fluent with those basics? I have a three-part definition that seems to match up really nicely with the common core approach to fluency. Which is, first of all, we want the answers to be correct. And then second, we want the answers to be easy to know. And so what does that mean? Well, to me, it means without needing to count,

Bethany Lockhart Johnson (07:12):

You mean without having to kind of muscle through it? Or say more about you mean.

Valerie Henry (07:16):

Well, I guess what I mean is that when you watch a young child try and solve something even as simple as two plus three, they might put up two fingers and then go 3, 4, 5 with three more fingers winding up on their hand, one or the other of their hands. While they’re doing that, they don’t really have a sense of whether even their answer is right or not, quite often. Especially when you get to the larger adding and subtracting problems, you can see a lot of errors happening as they’re trying to count. And it’s taking up cognitive energy to do that counting process, especially as you get to the larger quantities. So my definition of fluency now is “getting it right without needing to do that hard work like counting.” Now, some people might say, well, we just want them to have ’em memorized. But in my research, I’ve learned that a lot of very fluid adults don’t always have every fact memorized. In fact, if you ask a room full of adults, what’s seven plus nine, you might learn that they can all get it correct quickly, quickly…but they don’t all have it memorized. And so when you ask them, “How did you get that?” Many of them will say, “Well, I just gave one from the 7 to the 9 and I know that 10 plus 6 is 16.”

Bethany Lockhart Johnson (08:53):

That’s such an important distinction. My brain literally just did that actually!

Valerie Henry (08:58):

<laugh> Right? <laugh> But you’re fluid with it, because it doesn’t take you much cognitive energy at all.

Bethany Lockhart Johnson (09:05):

Right.

Valerie Henry (09:07):

So now we have “correct without needing to put that cognitive energy,” which usually means that you’re counting. And then the third thing is “relatively quickly,” so that you’re not spending 15 seconds trying to figure it out. Even that part-whole strategy approach can be done really quickly, almost instantaneously. Or it can take a long time. So if a student can get the answer correct within, you know, three or four seconds— is I’m pretty generous—I figure that they’re pretty darn fluent with that fact. So that’s my three-part definition of these basics, fluency.

Dan Meyer (09:55):

I love the distinction between getting it correct and getting it quick. It’s possible to be quick with wrong answers. It’s possible to be like, “Those are separate components there.” And I echo Bethany’s appreciation for this third option in between knowing it instantaneously through memorization and muscling through it. But there’s like a continuum there of how much energy it took you to come up with it that all feels extremely helpful.

Valerie Henry (10:21):

And you know, one of the things that I’ve noticed is that when kids are pressured to come up with those instantaneous answers, they often default to guessing and get it wrong.

Bethany Lockhart Johnson (10:30):

Mm, yeah.

Valerie Henry (10:30):

So that’s one of the things that I’ve learned is that as we’re trying to help students develop fluency, it’s important to start with building their conceptual understanding of what it means to do, you know, 3 times 9 and what the correct answer is, maybe using manipulatives or representations of some sort. Not skip-counting! I really have found that skip-counting just perpetuates itself in many students’ minds and that they never stop skip-counting, which means they’re putting in not very much mental energy if it’s 2 times 3 but a ton of mental energy if it’s 7 times 8. Because frankly, it’s really hard to skip count by sevens. And by eights.

Bethany Lockhart Johnson (11:18):

I can get to 14 and then I’m like, wait, wait, what was next? Right? No, no, no…21! What do you feel are some misconceptions that maybe teachers, maybe parents have about fluency in math?

Valerie Henry (11:30):

I think maybe one of the first ones is that if students count or skip-count, their answers repetitively over and over and over and over, that they’re bound to memorize them. And the study that I did back in 2004, I actually had a school that had decided that they were going to do time tests with their students every day, all year. And that undoubtedly by the end of the year, those students would be fluent.

Bethany Lockhart Johnson (12:06):

And to clarify by time test, you mean like, sit down, pencil, paper, ready, go, worksheet kind of thing.

Valerie Henry (12:15):

Yes.

Bethany Lockhart Johnson (12:16):

Some of us might remember quite vividly.

Valerie Henry (12:18):

<laugh> Very vividly. And you know, you have to get it done within a certain amount of time. So they made it fun for the students. Apparently the students enjoyed it. I was a little leery about that, but in the end, when I went and checked on the students and I did one-on-one assessments with half of the students in every class that were randomly selected so that I could get a sense of where they were with their fluency—and these were first graders—they basically had nothing memorized. They were simply counting as fast as they possibly could. And, you know, mostly getting the right answers. But they had not memorized. So that’s one of the myths, I think, is that repetitive practice of counting gets you to memorization.

Bethany Lockhart Johnson (13:10):

If I put it in front of you enough times, you’ll become fluent.

Valerie Henry (13:14):

Right, right. Now these students didn’t really get any instruction, any help learning these. They just simply tested over and over and over. So that’s another thing that I think is a misconception. It’s that if we test students, but don’t really teach them fluency, then they’re going to become fluent. If we just test them every Friday or that kind of thing. And that they’ll learn them at home. But really what that means is a few lucky kids who have parents who have the time and the energy and the background to know how to help will take that job on at home. Not that many students are really that fortunate.

Dan Meyer (14:01):

It’s almost like the traditional approach, or the approach you’re describing, confuses process and product. It says, “Well, the product is that eventually fluent students will be able to do something like this, see these problems and answer them, answer them quickly,” and says, “Well, that must be the process then as well; let’s give them that products a whole lot.” But as I hear you describe fluency with bunny ears on shoelaces, there’s these images and approaches and techniques that require a very active teacher presence to support the development of it. That’s just kind of interesting to me.

Valerie Henry (14:35):

My initial project, the pilot project that I tried, was to simply ask teachers to follow five key principles. And the first one was to do something in the classroom every day for—I told them, even if you’ve only got five or 10 minutes, work on fluency for five or 10 minutes a day, and let’s see what happens. So that was one key element was just to teach it and to give students opportunities to get what the research calls for when you’re trying to memorize, which is actually immediate feedback. When I talk about immediate feedback with my student teachers, I say, “I’m talking about within one or two seconds of trying a problem, and then sort of immediately knowing, getting feedback of whether you got the answer right or not so that your brain can kind of gain that confidence. ‘Oh, not only did I come up with an answer, but somebody’s telling me it’s the correct answer.’”

Dan Meyer (15:38):

There’s a lot of apps now in the digital world that offer students questions about arithmetic or other kinds of mathematical concepts and give immediate feedback of a sort: the feedback of “You’re right; you’re wrong” sort. Is that effective fluency development, in your view?

Valerie Henry (15:57):

I haven’t heard and I haven’t seen them being super-effective. The ways I think about this are “Immediate feedback isn’t the only thing we need.” Probably one of the biggest things that we need is for students to develop strategies. And this is one of the other things I’ve learned from international research, from countries that do have students who become very fluent very early, is that they don’t shoot straight for memorization, but they go through this process of taking students from doing some counting and then quickly moving them to trying to use logic. So, “Hey, you really are confident that 2 + 2 is 4; so now let’s use that to think about 2 + 3.” Actually, as an algebra teacher, I would much rather have students that have a combination of memorization and these strategies, than students who’ve only memorized. Isn’t that interesting that my most successful algebra students were good strategy thinkers. Not just good memorizers.

Bethany Lockhart Johnson (17:09):

So you mentioned there were five that kind of helped root this idea in like, “What can teachers do? What is the best thing that teachers can do to support with fact fluency?” So, everyday was key.

Valerie Henry (17:22):

Then the next principle that I really focus on is switching immediately to the connected subtractions so that students—

Bethany Lockhart Johnson (17:33):

Not waiting until you’ve gotten all the way through addition. But making “Ooh!”

Valerie Henry (17:38):

Totally. And I didn’t do that the first year. And when we looked at the results of the assessments at the end of the year, we realized that our students were so much weaker in subtraction than addition. So the following pilot year, we tried this other approach of doing subtraction right after the students had developed some fluency with that small chunk of addition. And we got such better subtraction results.

Bethany Lockhart Johnson (18:11):

What are the other principles?

Valerie Henry (18:13):

The biggest one is to use these strategies. So the strategies makes the third. And then the fourth I would say is to go from concrete to representational to abstract.

Bethany Lockhart Johnson (18:27):

Don’t put away those manipulatives. Don’t put away those tools.

Valerie Henry (18:31):

Oh, so important to come back to them for multiplication and division. And my fifth principle is to wait on assessment. To use it as true assessment, but not race to start testing before students have had a chance to go through this three-phase process. Which is conceptual understanding with manipulatives; building strategies, usually with representations; and then working on building some speed until it’s just that natural fluency.

Bethany Lockhart Johnson (19:07):

I wanna say thank you so much for offering your really learned perspective, because you have not only done the research, but seen it in action and seen how shifting our notions of fluency and what fluency can be and what a powerful foundation it can be for all mathematicians. Really, that shift is so powerful. And I appreciate you sharing it with our listeners and with us. So we’re so excited that we got to talk with you today, Val—

Dan Meyer (19:35):

Thank you, Dr. Henry.

Valerie Henry (19:37):

You’re welcome!

Dan Meyer (19:41):

With us now we have Graham Fletcher and Tracy Zager, a couple of people who understand fluency at a very deep and classroom level. I wanna introduce them and get their perspective on what we’re trying to solve here with fluency. So Graham Fletcher has served in education in a lot of different roles: as a classroom teacher, math coach, math specialist, and he’s continually seeking new and innovative ways to support students and teachers in their development of conceptual understanding in elementary math. He’s the author, along with Tracy, of Building Fact Fluency, a fluency kit we’ll talk about, and openly shares so much of his wisdom and resources at gfletchy.com. Tracy Johnson Zager is a district math coach who loves to get teachers hooked on listening to kids’ mathematical ideas. She is a co-author of this toolkit, Building Fact Fluency, and the author of Becoming the Math Teacher You Wish You’d Had: Ideas and Strategies from Vibrant Classrooms. Tracy also edits professional books for teachers at Stenhouse Publishers, including, yours truly. Thank you for all that insight, Tracy, and support on the book.

Bethany Lockhart Johnson (20:49):

Dan and I were talking at the beginning of the episode about things we feel like, “Hey, I’m fluent in that. I’m fluent in that.”

Dan Meyer (20:55):

Just very curious: What’s something you would like to get fluent in outside of the world of mathematics, let’s say?

Tracy Zager (21:00):

I’ll say understanding the teenage brain, as the parent of a 13-year-old and 15-year-old. That’s the main thing I’m working on becoming fluent in!

Bethany Lockhart Johnson (21:10):

Ooh!

Dan Meyer (21:13):

A language fluency, perhaps. All right, Graham. How about you?

Graham Fletcher (21:16):

For me typing, it’s always been an Achilles heel of mine. So voice-to-text has been my friend. But it’s also been my nemesis in much of my texting here and working virtually over the last couple years. So yeah, typing.

Dan Meyer (21:33):

Do you folks have some way of helping us understand the difference in how fluency is handled by instructors and by learners?

Tracy Zager (21:40):

I would say that the lay meaning of fluency is definitely a little different than what we mean in the math education realm. When we’re talking about math fact fluency, which is just one type of fluency. So you gotta think about procedural fluency and computational fluency; there are lots of types of fluency in math. And Graham and I had the luxury of really focusing in specifically on math fact fluency. We’re looking at kind of a subset of the procedural fluency. So the words you hear in all the citations are accurate, efficient, and flexible. There’s this combination of kids get the right answer in a reasonable amount of time and with a reasonable amount of work and they can match their strategy or their approach to the situation. That’s where that flexibility comes in. And there’s like lots more I wanna say about that about sort of…I think one issue that comes up around fluency is that people are in a little bit of a rush. So they tend to think of the fluency as this automaticity or recall of known facts without having to think about it. And that is part of the end goal, but that’s not the journey to fluency. So this is one of the things that Graham and I thought about a lot was the path to fluency. The goal here it’s that student in middle school who’s learning something new doesn’t have to expend any effort to gather that fact. And they might do it because they’ve done it so many different ways that they’ve got it, and now they just know it, or they might be like my friend who’s a mathematician who still, if you say, “Six times 8,” she thinks in her head, “Twelve, 24, 48…” and she does this double-double-double associative property strategy. And it’s so efficient, you would never know. And that’s totally great. That’s fine. That’s not slowing her down. That’s not providing a drag in the middle of a more complex problem or new learning. So we’re really focused on having elementary school students be able to enter the middle and high school standards without having that pull out of the new thinking.

Graham Fletcher (23:53):

And as I think about that, I think about how so many students will memorize their facts, but then they haven’t memorized them with understanding. So that when they move into middle school and they move into high school, it’s almost like new knowledge and new understanding that’s applied from a stand-alone skill.

Bethany Lockhart Johnson (24:10):

So something that felt really unique to me, Graham, as I was diving into the toolkit, is your use of images, Tracy, Graham, is the way that you use images to help students notice and wonder to start making sense of these quantities and the decomposition of numbers using images. Can you talk a little bit about how images played a part in the way that you think about this building a fact fluency?

Graham Fletcher (24:41):

What I realized is so many times when we approach math with just naked numbers with so many of our elementary students, the numbers aren’t visible. The quantities. They can’t see them; they can’t move them. They’re just those squiggly figures that we were talking about earlier on. So how is it that we make the quantities visible, to where students feel as if they can grab an apple and move it around? Because a lot of times we start with the naked numbers and then if kids don’t get the naked numbers, then we kind of backfill it. But what would happen if we start with the images? And then from there, these rich, flourishing mathematical conversations develop from the images. And I think that was the premise and the goal of the toolkit.

Tracy Zager (25:22):

When you look at how fact fluency has traditionally been taught, it’s all naked numbers. And sometimes we wrote ’em sideways. Like, that’s it. That was our variety of task type. Right? Sometimes it’s vertical; sometimes it’s horizontal. And that was it. And I’ve just known way too many kids who couldn’t find a hook to hang their hat on with that. It didn’t connect to anything. And so part of why I knew Graham was the perfect person for this project was his strength in multimedia photography, art, video. And so we started from this idea of contexts that for each lesson string in the toolkit, there’s some kind of context. An everyday object, arranged in some kind of a way that reveals mathematical structure and invites students to notice the properties. So we start with images of everyday objects: tennis balls, paint pots…um, help me out; here are a million of them. Crayons—

Bethany Lockhart Johnson (26:18):

Crayons, markers.

Tracy Zager (26:18):

Shoes, right? Sushi, origami paper, all kinds of things in the different toolkits. So there’s a series of images or a three-act task or both around those everyday objects, and then story problems grounded in that context. And then there are images with mathematical tools that bring out different ideas, but relate in some way to the image talks. And we do all of that before we get to the naked number talk. Which we do, and by the time you get to the number talk, it’s pretty quick, ’cause they’ve been reasoning about cups of lemonade. And now when you give them the actual numerals, they’re all over it.

Bethany Lockhart Johnson (27:03):

I have to say too, as somebody who—particularly in middle school—navigated math anxiety, we recently talked with Allison Hintz and Anthony Smith about their amazing book Mathematizing Children’s Literature.

Tracy Zager (27:14):

Yay!

Bethany Lockhart Johnson (27:14):

And I was explaining, like, if I sat down at the beginning of a math class and my teacher opened a picture book and said, “We’re gonna start here,” I felt my whole body relax. And if we start with this image, if we start with just looking at an image and making sense of an image, I feel like that could be such a powerful touchstone for all the work you do from there.

Tracy Zager (27:41):

That’s core. That’s a core design principle, is that invitational access. There are no barriers to entry. There’s nothing to decode. There’s nothing formal. We’ve been learning from Dan for years about this, right? Of starting with the informal and then eventually layering in the formal. I was in a class in Maine where they were doing an image talk and it’s these boxes of pencils. It’s a stack of boxes of pencils and they’re open and you can see there are 10 pencils in each box. And so there are five boxes of pencils each with 10 pencils in it. And then the next image is 10 boxes of pencils and each box is half full. So now it’s 10 boxes each with five. And the kids are talking and talking and then the third image, I think there are seven boxes each with 10 pencils in it. And she said, “What do you think the next picture’s gonna be?” And this girl said, “You just never know with these people!” <laugh> I dunno!”

Bethany Lockhart Johnson (28:37):

That’s kinda true. Knowing you both, it’s kinda true.

Tracy Zager (28:42):

Like if it’s seven boxes with 10 in it, one kid said, I think it’s gonna be 14 boxes of five. And other kids are like, I think it’s gonna be 10 boxes with seven. And they start talking about which of those there are and the relationships between—

Bethany Lockhart Johnson (28:58):

But they’re making sense of numbers!

Tracy Zager (28:59):

Totally. So all the kids felt invited. They can offer something up. They’re noticing and wondering about that image. They’re talking about it in whatever informal language or home language that they speak. And that was core to us. That was a huge priority, because honestly, one of the motivations to talk about fluency is that it’s always been this gatekeeper. It has served to keep kids out of meaningful math. Particularly kids from marginalized or historically excluded communities. So they’re back at the round table, doing Mad Minutes, while the more advantaged kids are getting to do rich problem solving. And so, we thought, what if we could teach fact fluency through rich problem solving that everybody could access? That was like square one for us.

Bethany Lockhart Johnson (29:45):

That’s huge.

Dan Meyer (29:46):

That’s great to hear. What’s been helpful for me is to understand that students who are automatic, that’s just kind of what’s on the surface of things. And that below that might be some really robust kind of foundation or scaffolding that bleeds to a larger building being built, or it might be just really rickety and not offer a sturdy place to build farther up. It’s been really exciting to hear that. I wonder if you’d comment for a moment about, in the digital age and—I’m at Desmos and our sponsors are Amplify and we all work in the digital world quite a bit. There are a lot of what report to be solutions to the fluency issue, to developing fluency in the digital world. Just lots and lots of them. Some that are quite well used, others that are just like X, Y, or Z app on the market. You can find something. Do you have perspectives on these kinds of digital fluency building apps? Like, what about them works or doesn’t work? Let us know. Graham, how about you? And then Tracy, I’d love to hear your thoughts too.

Graham Fletcher (30:47):

Yeah, I think that’s a great question, ’cause there’s a lot of shiny bells and whistles out there right now that can really excite a lot of teachers. But I always come back to what works for me as a classroom teacher is probably gonna work in a digital world as well. So what are the things that I love and honor most about being in front of students, and how can I capture that in that virtual world? I think one of the things that really helps students make connections is coherence. I think coherence, especially when you leave students for—you don’t get to talk with them after the lesson is done—so I think about how we can purposefully sequence things through a day-to-day basis. I think coherence is something that gets really lost when we talk about fluency, especially with whether it be digital or whether it be print, because what ends up happening is we say, “OK, we have all these strategies we need to teach,” and it becomes a checklist. So how is it that we can just provide students the opportunity to play around in a space, whether it be digital or in person, but in a meaningful way that allows them the time and the space and that area to breathe and think, but be coherent. And connecting those lessons along the way. And I think coherence is one thing that a lot of the times it’s harder to—when we’re in the weeds, it’s so hard and difficult to zoom back out and say, “Do all these lessons connect? How do they intentionally connect? And how do they purposefully connect?” And without coherence, everything’s kind of broken down into that granular level. So when looking at—I think about Desmos and I think about the Toolkit and I think about how Tracy and I talked a lot about, “Well, this, does it connect with the context problem, does it connect with the image talk, or the lessons? Like, how does it all connect and how are we providing students an opportunity to make connections between the day-to-day instruction and lessons that we tackle?”

Tracy Zager (32:44):

I’m reminded of a conversation that Dan, you and I had a long time ago, in Portland, Maine, in a bar. I’ll just be honest. <laugh> And we were talking about how, in the earlier days of Desmos, you were stressed out by what you saw, which was kids one-on-one, on a device, in a silent room. And you were like, no, this is not it. This is not what technology is here to serve. We can do so many things better using technology appropriately, but we can’t lose talk and we can’t lose relationships and we can’t lose formative assessment and teachers listening to kids and kids listening to each other and helping each other understand their thinking. Right? So when I think about the tech that’s out there for fact fluency, most of it is gonna violate all rules I have around time testing. So that a whole bunch of it, I would just toss on that premise. They’re really no different than flashcards. It’s just flashcards set in junkyard heaps. Or, you know, underground caverns. Or with a volcano or whatever. It’s the same thing. There are some lovely visuals—I’m thinking of Berkeley Everett’s Math Flips. Those are really pretty. Mathigon has some really nice stuff that’s digital. And I think that those resources invite you to kind of ponder and notice things and talk about them. All the tools that we design in the toolkit are designed to get people talking to each other, and give teachers opportunities to pull alongside kids and listen in and understand where they are. For example, our games, we didn’t design the games to be played digitally, even though you could, and people did during COVID, because we want kids on the rug, next to each other, on their knees; I’ve seen kids like across tables. I was in a school recently where a kid was like, “I hope you believe in God, ’cause you’re going…!” You know what I mean? <laugh>. Like they’re all pumped up.

Bethany Lockhart Johnson (34:41):

They’re invested!

Tracy Zager (34:45):

They’re psyching each other up and down and they’re interacting and it’s social and the teacher’s walking around and she’s listening to the games. And they don’t actually need any bells and whistles. They need dice and they need counters and they need this game that is actually a game. In all of our conversations, games have to actually be games. Games cannot be “roll and record.” Games have to involve strategy. They have to be fun. So in designing those games, we didn’t feel like it brought any advantage to make that a digital platform. But things that did bring advantages digitally, like the ability to project these beautiful images or to use short video in the classroom, that really was a value-add that enabled us to do something different in math class than we had done before, and to get kids talking in a different way than they ever had before. When I think about fluency, historically, if you say like, “OK, it’s time to practice our math facts,” you hear a lot of groans. And when I see a Building Fact Fluency classroom and I say, “OK, it’s BFF time!” There’s like a “YEAAAAHHH!” You know? And so that’s what we’re after.

Graham Fletcher (35:47):

It’s all about kids, really, for us. And I think at the heart of it, we made all the decisions with teachers and kids at the forefront of it.

Tracy Zager (35:55):

I know of high schoolers who are newcomers, who have experienced very little formal education, and speak in other languages, are using it as high schoolers, because it involves language and math and all the deep work in the properties and it’s accessible, but it’s also not at all condescending or patronizing. Like we designed it to be appropriate for older kids. So that’s just something that I think we’re both really proud of. One thing we thought a lot about, especially in the multiplication-division kit is how a classroom teacher could use it and a coordinating educator in EL, Title, special education, intervention could also use it because there’s so much in it, that students could get to be experts, if they got extra time in it, using something that’s related and would give them additional practice. So they could play a game a little bit earlier than the rest of the classes. And they could come in already knowing about that game, or they could do a related task. We have all these optional tasks that no classroom teacher would ever have time to teach it all. So the special educator could use it and have kids doing a Same and Different or a True/False, or some of the optional games. And then the work in both special education and general education could connect.

Dan Meyer (37:20):

I just wanna say that this is an area that for so many students, as you’ve said, Tracy, it presents a barrier. It’s a very emotionally fraught area of mathematics. And we really appreciate the wisdom you brought here. And just the care you’ve brought to the product itself. Your knowledge of teaching, knowledge of math, and yeah, especially a love for students feels like it’s really infused throughout Building Fact Fluency. If our listeners want to know more outside of this podcast, outside of the product itself, where can they find your words, your voice? Where you folks at these days? Tell ’em, Graham would you?

Graham Fletcher (37:57):

You can find us at Stenhouse, Building Fact Fluency. And then Tracy and I, currently playing around, sharing ideas a lot on Twitter, under the hashtag #BuildingFactFluency. That’s kind of where we can all come together and share ideas. And then also on the Facebook community, where there’s lots of teachers sharing ideas.

Bethany Lockhart Johnson (38:19):

If you were to ask our listeners like, “Hey, if you wanna keep thinking about this, here’s something you could try or here’s something you could go do,” what could be a challenge that we could share that could help us continue this conversation?

Graham Fletcher (38:35):

Online you can actually download a full lesson string. And a lesson string is a series of activities and resources that are purposefully connected. You can pick one or two of those from the Stenhouse web site, Building Fact Fluency. You can try the game. You can try one of those strategy-based games. You can try an image talk and just see how it goes. And just share and reflect back, whether on Twitter or on Facebook. But it’s kind of there, if you wanna give it a whirl. And as Tracy was sharing, even if you’re a middle-school teacher or a high-school teacher, we really tried to think about those middle-school and high-school students keeping it grade level-agnostic. Just so every student has those opportunities for those mathematical conversations. So download a lesson string and give it a whirl, and we’d love to hear how it goes.

Dan Meyer (39:25):

Bethany and I will be working the same challenge with people in our life.

Bethany Lockhart Johnson (39:29):

Yes.

Dan Meyer (39:29):

Enjoying some fact fluency with people in our homes, perhaps. We’ll see. And we’ll be sharing the results in the Math Teacher Lounge Facebook group. Graham and Tracy, thanks so much for being here. It was such a treat to chat with you both.

Bethany Lockhart Johnson (39:42):

I love learning with you and just helping to shift this idea of fluency into something that can be accessible and powerful and positive.

Stay connected!

Join our community and get new episodes every other Tuesday!

We’ll also share new and exciting free resources for your classroom every month.

What Valerie Henry says about math

“A lot of very fluent adults don’t always have every fact memorized. ”

– Val Henry

Meet the guest

Valerie Henry has been a math educator since 1986. She taught middle school math for 17 years and has worked as a lecturer at University of California Irvine since 2002. After doing her 2004 dissertation research on addition/subtraction fluency in first grade, Valerie created FactsWise, a daily mini-lesson approach that simultaneously develops  fluency,  number sense, and algebraic thinking. Additionally, she has provided curriculum and math professional development for K-12 teachers throughout her career, working with individual schools, districts, county offices of education, Illustrative Mathematics, the SBAC Digital Library, and the UCI Math Project.

An older person with short gray hair and glasses, wearing a blue sweater, is outdoors with greenery and a fence in the background.
Podcast cover for "Math Teacher Lounge" with Bethany Lockhart Johnson and Dan Meyer; bold text on orange and teal semicircle background.

About Math Teacher Lounge: The podcast

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

Overview

Developed by UC Berkeley’s Lawrence Hall of Science, our program features:

  • phenomena-based approach where students construct a complex understanding of each unit’s anchor phenomenon.
  • A blend of cohesive storylines, hands-on investigations, rich discussions, literacy-rich activities, and digital tools.
  • Newly crafted units, chapters, lessons, and activities designed to deliver true 3-dimensional learning.
  • An instructional design that supports all learners in accessing all standards.

Hear what these educators have to say about the program. >

Explore your grade

Access the Science Digital Platform

Get started by watching this class share what they’re figuring out with Amplify Science. >

Select a grade level below to learn more about how we make rich learning accessible to all students at every grade.

Grades TK–2 Grades 3–5
Grade TK Grade 3
Grade K Grade 4
Grade 1 Grade 5
Grade 2  

S3 – 04. Ideas to build math fluency with Valerie Henry, Graham Fletcher, and Tracy Zager

Promotional image for "Math Teacher Lounge" Season 3, Episode 4 titled "Ideas to Build Math Fluency," featuring Valerie Henry, Tracy J. Zager, and Graham Fletcher.

Fluency in math can oftentimes be associated with negative experiences with its development— timed worksheets, for example. Bethany and Dan are joined by three guests to better understand fluency and how to make its approach fun. Dr. Val Henry shares her three-part definition of fluency and her five principles for developing it. Additionally, Tracy Zager and Graham Fletcher join Bethany and Dan to better understand fluency through a lens of equity and using multimedia as a tool.

Explore more from Math Teacher Lounge by visiting our main page

Download Transcript

Dan Meyer (00:03)

Hey folks. Welcome back. This is Math Teacher Lounge, and I am one of your hosts, Dan Meyer.

Bethany Lockhart Johnson (00:07):

And I’m your other host, Bethany Lockhart Johnson. Hi, Dan.

Dan Meyer (00:11):

Hey, great to see you. We have a big one this week to chat about and some fantastic guests. We are chatting about fluency, which is the sort of word and concept that I feel like people have very, very non-neutral associations with it. A lot of them are very negative, for a lot of people.

Bethany Lockhart Johnson (00:26):

I saw you frown a little. What’s up with that, Dan? You kind of, like, shrank.

Dan Meyer (00:30):

I have strong feelings about it. You know, there’s lots of ways that people go about helping people become fluent in mathematics. And a lot of them are harmful for students, and ineffective. And it got me thinking about fluency as it exists outside of the world of mathematics, where we have a lot of very clear images of it. We’re getting fluent in things all the time. Like, as humans. Human development is the story of fluency. And I just was wondering….Bethany, would you describe yourself as fluent at something outside of the world of mathematics? What is that? How’d you get fluent at it? What was the process?

Bethany Lockhart Johnson (01:05):

Hmm, I think I’m a pretty fluent reader. I read all the time. I’m a happier person if I’ve read that day. I once saw this poster in a classroom; it said “10 Ways to Become a Better Reader: Read, Read, Read, Read, Read…you know, 10 times. Get it? Reading? You get better at reading by reading! So I would say reading. And it’s been kind of cool—I have a one-year-old who, it’s been really exciting slash overwhelmingly anxiety-producing to see him get very fluent with walking slash running, ’cause he’s getting faster every day. And it’s kind of fun. When I think of what’s something somebody’s trying to get fluent with…walking! He’s trying to be more fluid. He’s practicing transitions. He doesn’t wanna hold my hand while he traverses rocky terrain. He’s getting better at it. He’s practicing. What about you? What’s something…?

Dan Meyer (02:08):

I think about driving a lot. I’m a very fluent driver and I think a lot about when I was first a driver, you know? And how l have my hands on 10 and 2, vice grip, and do not talk to me; do not ask me anything; don’t ask me my NAME. I need to focus so hard. And then a year later, you know, I’m driving with one hand, smash the turn signal, take a sip off of whatever, change the CD. And then it’s no big deal.

Bethany Lockhart Johnson (02:38):

Wait, did you pass the first time? Your test?

Dan Meyer (02:40):

Yeah, I don’t like to brag about it. <laugh> But I do all the time. <laugh> But I got a hundred on my driving test. I don’t care who knows it. And I hope it’s everybody. But I guess all of this is just to say there are areas of life where fluency feels natural, with the case of walking. There’s areas of life where fluency feels motivating, with like driving—I wanna be able to switch the CD out or whatever. And there’s areas where fluency feels terrifying and hard to come by, like mathematics, sometimes. So we have a set of guests here. Our first guest will help us figure out what do we mean by fluency? And what’s the research say about what fluency is and how students develop it in mathematics? And then our other guests will help us think about what it looks like in practice in the classroom. What are some novel, new ways to work on fluency? So first up we have Val Henry, Dr. Val Henry.

Bethany Lockhart Johnson (03:32):

So we knew we needed help with the fluency definition, because when we think about it, it’s kind of big, right? And we wanted to look at what research about fluency really says. So we called on Valerie Henry. Val is a nationally board-certified teacher, taught middle school for 17 years, and since 2002 has worked with undergraduates graduates, credential candidates as a lecturer at the University of California, Irvine, one of my alma maters. So after doing her dissertation on addition and subtraction fluency in first grade, Val created a project to study ways to build addition and subtraction and multiplication and division fluency while also developing number sense in algebraic thinking. And the pilot grew and grew over the last 18 years into a powerful daily mini-lesson approach to facts fluency called FactsWise. And when we thought of fluency, the first person I thought of was Val. Welcome, Val Henry, to the Lounge! I’m so excited to have you here. Welcome.

Valerie Henry (04:36):

Thanks, Bethany. And thanks to you, Dan. It’s great to be here today.

Dan Meyer (04:41):

Great to have you; help yourself to whatever you find in the fridge. The names that people write down on those things in the bags are just recommendations. It’s potluck-style here. I’m curious, Val, if you’re, like, on an airplane, someone asks you what you do, and you say you study fluency…what is the layperson’s definition of what does it mean to be fluent in mathematics? And if you can give a brief tour through what the research says about what works and what doesn’t that would really help us orient our conversation here.

Valerie Henry (05:12):

The first thing I have to do when I talk to somebody on a plane is define the idea of fluency. And I often use an example of tying your shoelaces. Because that works with first graders as well as adults. This idea that when we first start trying to put our shoes on and get those shoelaces tied, somebody tries to, first of all, just do it for us. But then of course maybe tries to teach us the bunny-ears approach. And we struggle and struggle as little kids and eventually either the bunny-ears approach or something else starts to work for us. But we still have to pay attention to it. We have to think hard and it’s not easy. And then over time we get to the point where we basically don’t even think about it. When I tie my shoes in the morning. I’m not thinking about right-over-left and left-over-right and all of those things. I just do it. And so that’s a good, easy example of becoming fluent with something. I think what we’re talking about today though, is the basics, the adding and subtracting that we hope kids are going to have mastered maybe by second grade, and the multiplication and division facts that we wanna maybe have mastered by third, maybe fourth grade. So now what does that mean to become fluent with those basics? I have a three-part definition that seems to match up really nicely with the common core approach to fluency. Which is, first of all, we want the answers to be correct. And then second, we want the answers to be easy to know. And so what does that mean? Well, to me, it means without needing to count,

Bethany Lockhart Johnson (07:12):

You mean without having to kind of muscle through it? Or say more about you mean.

Valerie Henry (07:16):

Well, I guess what I mean is that when you watch a young child try and solve something even as simple as two plus three, they might put up two fingers and then go 3, 4, 5 with three more fingers winding up on their hand, one or the other of their hands. While they’re doing that, they don’t really have a sense of whether even their answer is right or not, quite often. Especially when you get to the larger adding and subtracting problems, you can see a lot of errors happening as they’re trying to count. And it’s taking up cognitive energy to do that counting process, especially as you get to the larger quantities. So my definition of fluency now is “getting it right without needing to do that hard work like counting.” Now, some people might say, well, we just want them to have ’em memorized. But in my research, I’ve learned that a lot of very fluid adults don’t always have every fact memorized. In fact, if you ask a room full of adults, what’s seven plus nine, you might learn that they can all get it correct quickly, quickly…but they don’t all have it memorized. And so when you ask them, “How did you get that?” Many of them will say, “Well, I just gave one from the 7 to the 9 and I know that 10 plus 6 is 16.”

Bethany Lockhart Johnson (08:53):

That’s such an important distinction. My brain literally just did that actually!

Valerie Henry (08:58):

<laugh> Right? <laugh> But you’re fluid with it, because it doesn’t take you much cognitive energy at all.

Bethany Lockhart Johnson (09:05):

Right.

Valerie Henry (09:07):

So now we have “correct without needing to put that cognitive energy,” which usually means that you’re counting. And then the third thing is “relatively quickly,” so that you’re not spending 15 seconds trying to figure it out. Even that part-whole strategy approach can be done really quickly, almost instantaneously. Or it can take a long time. So if a student can get the answer correct within, you know, three or four seconds— is I’m pretty generous—I figure that they’re pretty darn fluent with that fact. So that’s my three-part definition of these basics, fluency.

Dan Meyer (09:55):

I love the distinction between getting it correct and getting it quick. It’s possible to be quick with wrong answers. It’s possible to be like, “Those are separate components there.” And I echo Bethany’s appreciation for this third option in between knowing it instantaneously through memorization and muscling through it. But there’s like a continuum there of how much energy it took you to come up with it that all feels extremely helpful.

Valerie Henry (10:21):

And you know, one of the things that I’ve noticed is that when kids are pressured to come up with those instantaneous answers, they often default to guessing and get it wrong.

Bethany Lockhart Johnson (10:30):

Mm, yeah.

Valerie Henry (10:30):

So that’s one of the things that I’ve learned is that as we’re trying to help students develop fluency, it’s important to start with building their conceptual understanding of what it means to do, you know, 3 times 9 and what the correct answer is, maybe using manipulatives or representations of some sort. Not skip-counting! I really have found that skip-counting just perpetuates itself in many students’ minds and that they never stop skip-counting, which means they’re putting in not very much mental energy if it’s 2 times 3 but a ton of mental energy if it’s 7 times 8. Because frankly, it’s really hard to skip count by sevens. And by eights.

Bethany Lockhart Johnson (11:18):

I can get to 14 and then I’m like, wait, wait, what was next? Right? No, no, no…21! What do you feel are some misconceptions that maybe teachers, maybe parents have about fluency in math?

Valerie Henry (11:30):

I think maybe one of the first ones is that if students count or skip-count, their answers repetitively over and over and over and over, that they’re bound to memorize them. And the study that I did back in 2004, I actually had a school that had decided that they were going to do time tests with their students every day, all year. And that undoubtedly by the end of the year, those students would be fluent.

Bethany Lockhart Johnson (12:06):

And to clarify by time test, you mean like, sit down, pencil, paper, ready, go, worksheet kind of thing.

Valerie Henry (12:15):

Yes.

Bethany Lockhart Johnson (12:16):

Some of us might remember quite vividly.

Valerie Henry (12:18):

<laugh> Very vividly. And you know, you have to get it done within a certain amount of time. So they made it fun for the students. Apparently the students enjoyed it. I was a little leery about that, but in the end, when I went and checked on the students and I did one-on-one assessments with half of the students in every class that were randomly selected so that I could get a sense of where they were with their fluency—and these were first graders—they basically had nothing memorized. They were simply counting as fast as they possibly could. And, you know, mostly getting the right answers. But they had not memorized. So that’s one of the myths, I think, is that repetitive practice of counting gets you to memorization.

Bethany Lockhart Johnson (13:10):

If I put it in front of you enough times, you’ll become fluent.

Valerie Henry (13:14):

Right, right. Now these students didn’t really get any instruction, any help learning these. They just simply tested over and over and over. So that’s another thing that I think is a misconception. It’s that if we test students, but don’t really teach them fluency, then they’re going to become fluent. If we just test them every Friday or that kind of thing. And that they’ll learn them at home. But really what that means is a few lucky kids who have parents who have the time and the energy and the background to know how to help will take that job on at home. Not that many students are really that fortunate.

Dan Meyer (14:01):

It’s almost like the traditional approach, or the approach you’re describing, confuses process and product. It says, “Well, the product is that eventually fluent students will be able to do something like this, see these problems and answer them, answer them quickly,” and says, “Well, that must be the process then as well; let’s give them that products a whole lot.” But as I hear you describe fluency with bunny ears on shoelaces, there’s these images and approaches and techniques that require a very active teacher presence to support the development of it. That’s just kind of interesting to me.

Valerie Henry (14:35):

My initial project, the pilot project that I tried, was to simply ask teachers to follow five key principles. And the first one was to do something in the classroom every day for—I told them, even if you’ve only got five or 10 minutes, work on fluency for five or 10 minutes a day, and let’s see what happens. So that was one key element was just to teach it and to give students opportunities to get what the research calls for when you’re trying to memorize, which is actually immediate feedback. When I talk about immediate feedback with my student teachers, I say, “I’m talking about within one or two seconds of trying a problem, and then sort of immediately knowing, getting feedback of whether you got the answer right or not so that your brain can kind of gain that confidence. ‘Oh, not only did I come up with an answer, but somebody’s telling me it’s the correct answer.’”

Dan Meyer (15:38):

There’s a lot of apps now in the digital world that offer students questions about arithmetic or other kinds of mathematical concepts and give immediate feedback of a sort: the feedback of “You’re right; you’re wrong” sort. Is that effective fluency development, in your view?

Valerie Henry (15:57):

I haven’t heard and I haven’t seen them being super-effective. The ways I think about this are “Immediate feedback isn’t the only thing we need.” Probably one of the biggest things that we need is for students to develop strategies. And this is one of the other things I’ve learned from international research, from countries that do have students who become very fluent very early, is that they don’t shoot straight for memorization, but they go through this process of taking students from doing some counting and then quickly moving them to trying to use logic. So, “Hey, you really are confident that 2 + 2 is 4; so now let’s use that to think about 2 + 3.” Actually, as an algebra teacher, I would much rather have students that have a combination of memorization and these strategies, than students who’ve only memorized. Isn’t that interesting that my most successful algebra students were good strategy thinkers. Not just good memorizers.

Bethany Lockhart Johnson (17:09):

So you mentioned there were five that kind of helped root this idea in like, “What can teachers do? What is the best thing that teachers can do to support with fact fluency?” So, everyday was key.

Valerie Henry (17:22):

Then the next principle that I really focus on is switching immediately to the connected subtractions so that students—

Bethany Lockhart Johnson (17:33):

Not waiting until you’ve gotten all the way through addition. But making “Ooh!”

Valerie Henry (17:38):

Totally. And I didn’t do that the first year. And when we looked at the results of the assessments at the end of the year, we realized that our students were so much weaker in subtraction than addition. So the following pilot year, we tried this other approach of doing subtraction right after the students had developed some fluency with that small chunk of addition. And we got such better subtraction results.

Bethany Lockhart Johnson (18:11):

What are the other principles?

Valerie Henry (18:13):

The biggest one is to use these strategies. So the strategies makes the third. And then the fourth I would say is to go from concrete to representational to abstract.

Bethany Lockhart Johnson (18:27):

Don’t put away those manipulatives. Don’t put away those tools.

Valerie Henry (18:31):

Oh, so important to come back to them for multiplication and division. And my fifth principle is to wait on assessment. To use it as true assessment, but not race to start testing before students have had a chance to go through this three-phase process. Which is conceptual understanding with manipulatives; building strategies, usually with representations; and then working on building some speed until it’s just that natural fluency.

Bethany Lockhart Johnson (19:07):

I wanna say thank you so much for offering your really learned perspective, because you have not only done the research, but seen it in action and seen how shifting our notions of fluency and what fluency can be and what a powerful foundation it can be for all mathematicians. Really, that shift is so powerful. And I appreciate you sharing it with our listeners and with us. So we’re so excited that we got to talk with you today, Val—

Dan Meyer (19:35):

Thank you, Dr. Henry.

Valerie Henry (19:37):

You’re welcome!

Dan Meyer (19:41):

With us now we have Graham Fletcher and Tracy Zager, a couple of people who understand fluency at a very deep and classroom level. I wanna introduce them and get their perspective on what we’re trying to solve here with fluency. So Graham Fletcher has served in education in a lot of different roles: as a classroom teacher, math coach, math specialist, and he’s continually seeking new and innovative ways to support students and teachers in their development of conceptual understanding in elementary math. He’s the author, along with Tracy, of Building Fact Fluency, a fluency kit we’ll talk about, and openly shares so much of his wisdom and resources at gfletchy.com. Tracy Johnson Zager is a district math coach who loves to get teachers hooked on listening to kids’ mathematical ideas. She is a co-author of this toolkit, Building Fact Fluency, and the author of Becoming the Math Teacher You Wish You’d Had: Ideas and Strategies from Vibrant Classrooms. Tracy also edits professional books for teachers at Stenhouse Publishers, including, yours truly. Thank you for all that insight, Tracy, and support on the book.

Bethany Lockhart Johnson (20:49):

Dan and I were talking at the beginning of the episode about things we feel like, “Hey, I’m fluent in that. I’m fluent in that.”

Dan Meyer (20:55):

Just very curious: What’s something you would like to get fluent in outside of the world of mathematics, let’s say?

Tracy Zager (21:00):

I’ll say understanding the teenage brain, as the parent of a 13-year-old and 15-year-old. That’s the main thing I’m working on becoming fluent in!

Bethany Lockhart Johnson (21:10):

Ooh!

Dan Meyer (21:13):

A language fluency, perhaps. All right, Graham. How about you?

Graham Fletcher (21:16):

For me typing, it’s always been an Achilles heel of mine. So voice-to-text has been my friend. But it’s also been my nemesis in much of my texting here and working virtually over the last couple years. So yeah, typing.

Dan Meyer (21:33):

Do you folks have some way of helping us understand the difference in how fluency is handled by instructors and by learners?

Tracy Zager (21:40):

I would say that the lay meaning of fluency is definitely a little different than what we mean in the math education realm. When we’re talking about math fact fluency, which is just one type of fluency. So you gotta think about procedural fluency and computational fluency; there are lots of types of fluency in math. And Graham and I had the luxury of really focusing in specifically on math fact fluency. We’re looking at kind of a subset of the procedural fluency. So the words you hear in all the citations are accurate, efficient, and flexible. There’s this combination of kids get the right answer in a reasonable amount of time and with a reasonable amount of work and they can match their strategy or their approach to the situation. That’s where that flexibility comes in. And there’s like lots more I wanna say about that about sort of…I think one issue that comes up around fluency is that people are in a little bit of a rush. So they tend to think of the fluency as this automaticity or recall of known facts without having to think about it. And that is part of the end goal, but that’s not the journey to fluency. So this is one of the things that Graham and I thought about a lot was the path to fluency. The goal here it’s that student in middle school who’s learning something new doesn’t have to expend any effort to gather that fact. And they might do it because they’ve done it so many different ways that they’ve got it, and now they just know it, or they might be like my friend who’s a mathematician who still, if you say, “Six times 8,” she thinks in her head, “Twelve, 24, 48…” and she does this double-double-double associative property strategy. And it’s so efficient, you would never know. And that’s totally great. That’s fine. That’s not slowing her down. That’s not providing a drag in the middle of a more complex problem or new learning. So we’re really focused on having elementary school students be able to enter the middle and high school standards without having that pull out of the new thinking.

Graham Fletcher (23:53):

And as I think about that, I think about how so many students will memorize their facts, but then they haven’t memorized them with understanding. So that when they move into middle school and they move into high school, it’s almost like new knowledge and new understanding that’s applied from a stand-alone skill.

Bethany Lockhart Johnson (24:10):

So something that felt really unique to me, Graham, as I was diving into the toolkit, is your use of images, Tracy, Graham, is the way that you use images to help students notice and wonder to start making sense of these quantities and the decomposition of numbers using images. Can you talk a little bit about how images played a part in the way that you think about this building a fact fluency?

Graham Fletcher (24:41):

What I realized is so many times when we approach math with just naked numbers with so many of our elementary students, the numbers aren’t visible. The quantities. They can’t see them; they can’t move them. They’re just those squiggly figures that we were talking about earlier on. So how is it that we make the quantities visible, to where students feel as if they can grab an apple and move it around? Because a lot of times we start with the naked numbers and then if kids don’t get the naked numbers, then we kind of backfill it. But what would happen if we start with the images? And then from there, these rich, flourishing mathematical conversations develop from the images. And I think that was the premise and the goal of the toolkit.

Tracy Zager (25:22):

When you look at how fact fluency has traditionally been taught, it’s all naked numbers. And sometimes we wrote ’em sideways. Like, that’s it. That was our variety of task type. Right? Sometimes it’s vertical; sometimes it’s horizontal. And that was it. And I’ve just known way too many kids who couldn’t find a hook to hang their hat on with that. It didn’t connect to anything. And so part of why I knew Graham was the perfect person for this project was his strength in multimedia photography, art, video. And so we started from this idea of contexts that for each lesson string in the toolkit, there’s some kind of context. An everyday object, arranged in some kind of a way that reveals mathematical structure and invites students to notice the properties. So we start with images of everyday objects: tennis balls, paint pots…um, help me out; here are a million of them. Crayons—

Bethany Lockhart Johnson (26:18):

Crayons, markers.

Tracy Zager (26:18):

Shoes, right? Sushi, origami paper, all kinds of things in the different toolkits. So there’s a series of images or a three-act task or both around those everyday objects, and then story problems grounded in that context. And then there are images with mathematical tools that bring out different ideas, but relate in some way to the image talks. And we do all of that before we get to the naked number talk. Which we do, and by the time you get to the number talk, it’s pretty quick, ’cause they’ve been reasoning about cups of lemonade. And now when you give them the actual numerals, they’re all over it.

Bethany Lockhart Johnson (27:03):

I have to say too, as somebody who—particularly in middle school—navigated math anxiety, we recently talked with Allison Hintz and Anthony Smith about their amazing book Mathematizing Children’s Literature.

Tracy Zager (27:14):

Yay!

Bethany Lockhart Johnson (27:14):

And I was explaining, like, if I sat down at the beginning of a math class and my teacher opened a picture book and said, “We’re gonna start here,” I felt my whole body relax. And if we start with this image, if we start with just looking at an image and making sense of an image, I feel like that could be such a powerful touchstone for all the work you do from there.

Tracy Zager (27:41):

That’s core. That’s a core design principle, is that invitational access. There are no barriers to entry. There’s nothing to decode. There’s nothing formal. We’ve been learning from Dan for years about this, right? Of starting with the informal and then eventually layering in the formal. I was in a class in Maine where they were doing an image talk and it’s these boxes of pencils. It’s a stack of boxes of pencils and they’re open and you can see there are 10 pencils in each box. And so there are five boxes of pencils each with 10 pencils in it. And then the next image is 10 boxes of pencils and each box is half full. So now it’s 10 boxes each with five. And the kids are talking and talking and then the third image, I think there are seven boxes each with 10 pencils in it. And she said, “What do you think the next picture’s gonna be?” And this girl said, “You just never know with these people!” <laugh> I dunno!”

Bethany Lockhart Johnson (28:37):

That’s kinda true. Knowing you both, it’s kinda true.

Tracy Zager (28:42):

Like if it’s seven boxes with 10 in it, one kid said, I think it’s gonna be 14 boxes of five. And other kids are like, I think it’s gonna be 10 boxes with seven. And they start talking about which of those there are and the relationships between—

Bethany Lockhart Johnson (28:58):

But they’re making sense of numbers!

Tracy Zager (28:59):

Totally. So all the kids felt invited. They can offer something up. They’re noticing and wondering about that image. They’re talking about it in whatever informal language or home language that they speak. And that was core to us. That was a huge priority, because honestly, one of the motivations to talk about fluency is that it’s always been this gatekeeper. It has served to keep kids out of meaningful math. Particularly kids from marginalized or historically excluded communities. So they’re back at the round table, doing Mad Minutes, while the more advantaged kids are getting to do rich problem solving. And so, we thought, what if we could teach fact fluency through rich problem solving that everybody could access? That was like square one for us.

Bethany Lockhart Johnson (29:45):

That’s huge.

Dan Meyer (29:46):

That’s great to hear. What’s been helpful for me is to understand that students who are automatic, that’s just kind of what’s on the surface of things. And that below that might be some really robust kind of foundation or scaffolding that bleeds to a larger building being built, or it might be just really rickety and not offer a sturdy place to build farther up. It’s been really exciting to hear that. I wonder if you’d comment for a moment about, in the digital age and—I’m at Desmos and our sponsors are Amplify and we all work in the digital world quite a bit. There are a lot of what report to be solutions to the fluency issue, to developing fluency in the digital world. Just lots and lots of them. Some that are quite well used, others that are just like X, Y, or Z app on the market. You can find something. Do you have perspectives on these kinds of digital fluency building apps? Like, what about them works or doesn’t work? Let us know. Graham, how about you? And then Tracy, I’d love to hear your thoughts too.

Graham Fletcher (30:47):

Yeah, I think that’s a great question, ’cause there’s a lot of shiny bells and whistles out there right now that can really excite a lot of teachers. But I always come back to what works for me as a classroom teacher is probably gonna work in a digital world as well. So what are the things that I love and honor most about being in front of students, and how can I capture that in that virtual world? I think one of the things that really helps students make connections is coherence. I think coherence, especially when you leave students for—you don’t get to talk with them after the lesson is done—so I think about how we can purposefully sequence things through a day-to-day basis. I think coherence is something that gets really lost when we talk about fluency, especially with whether it be digital or whether it be print, because what ends up happening is we say, “OK, we have all these strategies we need to teach,” and it becomes a checklist. So how is it that we can just provide students the opportunity to play around in a space, whether it be digital or in person, but in a meaningful way that allows them the time and the space and that area to breathe and think, but be coherent. And connecting those lessons along the way. And I think coherence is one thing that a lot of the times it’s harder to—when we’re in the weeds, it’s so hard and difficult to zoom back out and say, “Do all these lessons connect? How do they intentionally connect? And how do they purposefully connect?” And without coherence, everything’s kind of broken down into that granular level. So when looking at—I think about Desmos and I think about the Toolkit and I think about how Tracy and I talked a lot about, “Well, this, does it connect with the context problem, does it connect with the image talk, or the lessons? Like, how does it all connect and how are we providing students an opportunity to make connections between the day-to-day instruction and lessons that we tackle?”

Tracy Zager (32:44):

I’m reminded of a conversation that Dan, you and I had a long time ago, in Portland, Maine, in a bar. I’ll just be honest. <laugh> And we were talking about how, in the earlier days of Desmos, you were stressed out by what you saw, which was kids one-on-one, on a device, in a silent room. And you were like, no, this is not it. This is not what technology is here to serve. We can do so many things better using technology appropriately, but we can’t lose talk and we can’t lose relationships and we can’t lose formative assessment and teachers listening to kids and kids listening to each other and helping each other understand their thinking. Right? So when I think about the tech that’s out there for fact fluency, most of it is gonna violate all rules I have around time testing. So that a whole bunch of it, I would just toss on that premise. They’re really no different than flashcards. It’s just flashcards set in junkyard heaps. Or, you know, underground caverns. Or with a volcano or whatever. It’s the same thing. There are some lovely visuals—I’m thinking of Berkeley Everett’s Math Flips. Those are really pretty. Mathigon has some really nice stuff that’s digital. And I think that those resources invite you to kind of ponder and notice things and talk about them. All the tools that we design in the toolkit are designed to get people talking to each other, and give teachers opportunities to pull alongside kids and listen in and understand where they are. For example, our games, we didn’t design the games to be played digitally, even though you could, and people did during COVID, because we want kids on the rug, next to each other, on their knees; I’ve seen kids like across tables. I was in a school recently where a kid was like, “I hope you believe in God, ’cause you’re going…!” You know what I mean? <laugh>. Like they’re all pumped up.

Bethany Lockhart Johnson (34:41):

They’re invested!

Tracy Zager (34:45):

They’re psyching each other up and down and they’re interacting and it’s social and the teacher’s walking around and she’s listening to the games. And they don’t actually need any bells and whistles. They need dice and they need counters and they need this game that is actually a game. In all of our conversations, games have to actually be games. Games cannot be “roll and record.” Games have to involve strategy. They have to be fun. So in designing those games, we didn’t feel like it brought any advantage to make that a digital platform. But things that did bring advantages digitally, like the ability to project these beautiful images or to use short video in the classroom, that really was a value-add that enabled us to do something different in math class than we had done before, and to get kids talking in a different way than they ever had before. When I think about fluency, historically, if you say like, “OK, it’s time to practice our math facts,” you hear a lot of groans. And when I see a Building Fact Fluency classroom and I say, “OK, it’s BFF time!” There’s like a “YEAAAAHHH!” You know? And so that’s what we’re after.

Graham Fletcher (35:47):

It’s all about kids, really, for us. And I think at the heart of it, we made all the decisions with teachers and kids at the forefront of it.

Tracy Zager (35:55):

I know of high schoolers who are newcomers, who have experienced very little formal education, and speak in other languages, are using it as high schoolers, because it involves language and math and all the deep work in the properties and it’s accessible, but it’s also not at all condescending or patronizing. Like we designed it to be appropriate for older kids. So that’s just something that I think we’re both really proud of. One thing we thought a lot about, especially in the multiplication-division kit is how a classroom teacher could use it and a coordinating educator in EL, Title, special education, intervention could also use it because there’s so much in it, that students could get to be experts, if they got extra time in it, using something that’s related and would give them additional practice. So they could play a game a little bit earlier than the rest of the classes. And they could come in already knowing about that game, or they could do a related task. We have all these optional tasks that no classroom teacher would ever have time to teach it all. So the special educator could use it and have kids doing a Same and Different or a True/False, or some of the optional games. And then the work in both special education and general education could connect.

Dan Meyer (37:20):

I just wanna say that this is an area that for so many students, as you’ve said, Tracy, it presents a barrier for their inclusion in mathematics. It’s a very emotionally fraught area of mathematics. And we really appreciate the wisdom you brought here. And just the care you’ve brought to the product itself. Your knowledge of teaching, knowledge of math, and yeah, especially a love for students feels like it’s really infused throughout Building Fact Fluency. If our listeners want to know more outside of this podcast, outside of the product itself, where can they find your words, your voice? Where you folks at these days? Tell ’em, Graham would you?

Graham Fletcher (37:57):

You can find us at Stenhouse, Building Fact Fluency. And then Tracy and I, currently playing around, sharing ideas a lot on Twitter, under the hashtag #BuildingFactFluency. That’s kind of where we can all come together and share ideas. And then also on the Facebook community, where there’s lots of teachers sharing ideas.

Bethany Lockhart Johnson (38:19):

If you were to ask our listeners like, “Hey, if you wanna keep thinking about this, here’s something you could try or here’s something you could go do,” what could be a challenge that we could share that could help us continue this conversation?

Graham Fletcher (38:35):

Online you can actually download a full lesson string. And a lesson string is a series of activities and resources that are purposefully connected. You can pick one or two of those from the Stenhouse web site, Building Fact Fluency. You can try the game. You can try one of those strategy-based games. You can try an image talk and just see how it goes. And just share and reflect back, whether on Twitter or on Facebook. But it’s kind of there, if you wanna give it a whirl. And as Tracy was sharing, even if you’re a middle-school teacher or a high-school teacher, we really tried to think about those middle-school and high-school students keeping it grade level-agnostic. Just so every student has those opportunities for those mathematical conversations. So download a lesson string and give it a whirl, and we’d love to hear how it goes.

Dan Meyer (39:25):

Bethany and I will be working the same challenge with people in our life.

Bethany Lockhart Johnson (39:29):

Yes.

Dan Meyer (39:29):

Enjoying some fact fluency with people in our homes, perhaps. We’ll see. And we’ll be sharing the results in the Math Teacher Lounge Facebook group. Graham and Tracy, thanks so much for being here. It was such a treat to chat with you both.

Bethany Lockhart Johnson (39:42):

I love learning with you and just helping to shift this idea of fluency into something that can be accessible and powerful and positive.

Stay connected!

Join our community and get new episodes every other Tuesday!

We’ll also share new and exciting free resources for your classroom every month.

What Valerie Henry says about math

“A lot of very fluent adults don’t always have every fact memorized. ”

– Val Henry

Meet the guests

Valerie Henry has been a math educator since 1986. She taught middle school math for 17 years and has worked as a lecturer at University of California Irvine since 2002. After doing her 2004 dissertation research on addition/subtraction fluency in first grade, Valerie created FactsWise, a daily mini-lesson approach that simultaneously develops  fluency,  number sense, and algebraic thinking. Additionally, she has provided curriculum and math professional development for K-12 teachers throughout her career, working with individual schools, districts, county offices of education, Illustrative Mathematics, the SBAC Digital Library, and the UCI Math Project.

Graham Fletcher has served in education as a classroom teacher, a math coach, and currently as a math specialist. He is continually seeking new and innovative ways to support students and teachers in their development of conceptual understanding in elementary mathematics. He is the author of Building Fact Fluency and openly shares many of his resources at gfletchy.com. Follow him on Twitter.

Tracy Johnston Zager is a district math coach who loves to get teachers hooked on listening to kids’ mathematical ideas. She is a co-author of the Building Fact Fluency toolkits and the author of Becoming the Math Teacher You Wish You’d Had: Ideas and Strategies from Vibrant Classrooms. Tracy also edits professional books by teachers, for teachers at Stenhouse Publishers. Follow her on Facebook.

A collage of three headshots: an older woman with glasses, a man with a beard in a blue shirt, and a woman with dark hair smiling in front of greenery.
A graphic with the text "Math Teacher Lounge with Bethany Lockhart Johnson and Dan Meyer" on colored overlapping circles.

About Math Teacher Lounge: The podcast

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

S4 – 02. Bethany and Dan share their math biographies

Promotional graphic for "math teacher lounge," season 4 episode 2, featuring photos and names of math teaching guests Bethany Lockhart and Dan Meyer.

In this episode, co-hosts Bethany Lockhart Johnson and Dan Meyer get personal and share their “math bios”—their early experiences with math and how those experiences turned them into the educators they are today.

Explore more from Math Teacher Lounge by visiting our main page

Download Transcript

Dan Meyer (00:00):

We’re recording. What’s up, everybody. This is Dan Meyer with Math Teacher Lounge.

Bethany Lockhart Johnson (00:08):

And I’m Bethany Lockhart Johnson. We are so excited to be back. Season Four, Episode Two. Hi, Dan.

Dan Meyer (00:16):

Hey, Bethany, how are you doing today?

Bethany Lockhart Johnson (00:18):

I’m so excited to be talking with you! You know, as we record this, our reunion at NCTM is getting closer and closer.

Dan Meyer (00:28):

The NCTM live show is gonna be bonkers. I don’t think people are ready for it. You think you know what we’re about on MTL from listening to us, but the live show is gonna be outta control. You cannot imagine how many clowns and elephants Bethany wants to have at the live show. We’re still—we’re trying to talk her down from like three to one, but we’ll see.

Bethany Lockhart Johnson (00:44):

All I want is the t-shirt cannon. Because I used to go to these baseball games and they would have a t-shirt cannon. And I thought, I wanna operate a t-shirt cannon! So like, if I could be standing on stage aiming t-shirts at people who are jumping up and down requesting a t-shirt? I don’t know. Doesn’t that sound fun?

Dan Meyer (01:01):

Sounds awesome. High point of my college education was catching a t-shirt. No, it was—it was a burrito. It was a burrito cannon. But I think it was just a t-shirt cannon, but it was a burrito cannon. And I caught a burrito at a game and it was probably the most memorable moment of all of college education for me.

Bethany Lockhart Johnson (01:16):

Was the burrito still warm?

Dan Meyer (01:18):

Oh yeah. I think it got—like, I think it might’ve been warm at one point and then it got warmed back up through the muzzle velocity of the cannon. So it was a pretty great system they had going on there. <Laugh> Yeah. <Laugh> Anyway, I’m off topic, but, we’re thrilled to—I’m thrilled to chat with you and we’re thrilled to be listened to by you folks out there in MTL land. In the lounge itself. We got a fun show today.

Bethany Lockhart Johnson (01:40):

So if you listen to Episode One—which if you haven’t, hope you go back and listen to it—if you listen to Season Four, Episode One, you’re gonna hear—we asked Huon, KT, who is this delight of a joyful teacher. We asked her to talk to us about what’s her math bio. And we want to ask all of our guests—like, I wanna go back and ask every single guest we’ve ever had to tell us their math bio.

Dan Meyer (02:06):

Yep.

Bethany Lockhart Johnson (02:06):

Because, while seemingly simple in nature, our students enter our math classroom already having had this relationship with math and these notions about their role in math or what they think about math. And it impacts our school year with them if we’re a teacher. And it impacts our relationship with math as we move through our education and beyond. Right? And I I’m so excited about this question, ’cause I think it also ties into this theme for Season Four, which is joyful math, and diving into “When has math felt joyful? When has it not? Does it feel like—how do we think about how our math bio, our relationship with math, has evolved into a joyful or less joyful place?”

Dan Meyer (02:54):

I get it. And what’s really key here, I think, is that teaching more than other professions is a generational profession. You know what I’m saying? Like, no one is like, “Well, you know, I sold insurance to you and now you’re selling insurance to, you know, my grandkids; that’s amazing!” But people are always posting photos when, like, you teach someone who then becomes a teacher later. Teaching is a generational sort of thing. So the kinds of joyful experiences that we offer or don’t offer students now affect the experiences that students who haven’t even been born yet will have, you know, some 20, 30 years later. That, to me, is a trip. And well-worth exploring, you know, how we got here, mathematically speaking.

Bethany Lockhart Johnson (03:39):

I remember a friend had sent me this image of an assignment that her son got that was asking for their Mathography. They wanted to know about their history of mathematics. And this was their first assignment. And this teacher, I would like to imagine, read them all and used it to inform conversations about students’ relationship with math. And, you know, some of the questions they asked were thinking about whether you consider yourself, quote, unquote, “good at math.” Like “what kind of experiences have you had? What do you like or dislike about math? What is, you know—what do you expect to learn in math this year?” Just asking students to actually pause and examine and reflect on their relationship and then also looking forward to, like, what kind of a classroom community do we wanna create? And I loved that assignment. And yeah, so today’s episode Dan, guess what?

Dan Meyer (04:32):

What’s going on? What’s happening?

Bethany Lockhart Johnson (04:33):

I figured we should ask each other about our math bio.

Dan Meyer (04:39):

I think the people out there would love to know this about us. ‘Cause you know, we’re both awesome. But also what’s really cool here is that like, I don’t know this about you. Like not, not a lot. You know, the folks at Amplify, they kind of assembled me and Bethany together in the same way that record labels assembled pop boy bands, girl bands, that kind of thing, back in the day. You know, grabbing some stars from screen or film and just like throwing ’em together and saying, “All right, now you’re here to perform together.” And so it’s just a really good moment for us to, like, settle back and just know who we’ve been working with for the last three seasons and change here. I love it.

Bethany Lockhart Johnson (05:15):

Well, I don’t know. I don’t actually agree with that, Dan. Because don’t you remember? We knew each other beforehand. And while I would like to think of us as…oh, I’ll say One Direction—well, no, One Direction is now defunct. Who’s another band that got formed by one of those shows and is still together and still—

Dan Meyer (05:33):

BTS! K-Pop, you know! Let’s go!

Bethany Lockhart Johnson (05:35):

K-pop. BTS.

Dan Meyer (05:38):

Let’s go, Bethany <laugh>.

Bethany Lockhart Johnson (05:39):

So can we incorporate some K-pop into the NCTM Math Teacher Lounge live episode? Don’t answer now. Don’t answer now. OK. So not only are we gonna share our math bios, but we want to encourage you listeners to share your math bio with somebody in your life. It could be a child in your life, maybe talking to your kiddo about what was it like. What was math like for you? It could be a student that you have. It could be a partner, a friend, a parent. I mean, the sky’s the limit. Share your math bio. And most of all, share with us. We wanna hear about your math bio and you can share it with us at Twitter, at MTLShow, or in our Facebook group, Math Teacher Lounge.

Dan Meyer (06:26):

Stop on by, please. All right. I’m gonna just share like, just a couple of quick, signposts. Not the full bio. Gotta leave them wondering about something here. But here’s a few quick highlights and lowlights of my math bio and how, maybe, it made me the teacher that I was and the educator I am. Is that cool?

Bethany Lockhart Johnson (06:44):

Wait, I didn’t even, I didn’t ask you yet.

Dan Meyer (06:46):

Ask me what?

Bethany Lockhart Johnson (06:47):

Hey, Dan!

Dan Meyer (06:49):

Is there like a magical word? Like, what’s your math bio? <Laugh> Oh, go for it. No, no, that’s right. They won’t know what I’m talking about. Why is he talking about his math bio? Bethany—

Bethany Lockhart Johnson (06:57):

That whole lead-in that we just gave? They might not know.

Dan Meyer (07:00):

Yeah. We just talked about math bios for the last 20 minutes. But yeah, they might not know what we’re—

Bethany Lockhart Johnson (07:04):

<laugh> So Dan, why don’t you go first? ‘Cause I know you were gonna ask me to go first, but why don’t you go first? Dan? What’s your math bio?

Dan Meyer (07:12):

Oh, wow. Well, thank you for the formal invitation to share my math bio, Bethany Lockhart Johnson. So, I’ll just share—I just wanna share a couple items here, not the full history. Gotta leave ’em—leave a little mystery in there, you know what I’m saying? But here’s a few highlights and lowlights, and I think what it means for me as an educator. So, I was homeschooled for eight years. That was big—did a lot of math learning on my own. Couple of lowlights from that, a lot of highlights, in terms of just like being able to, like, learn at my own rate and just jump on ahead and pursue different wacky things. But I tried to switch into public school in fourth grade and I lasted, um, four hours. I didn’t even go to class. I enrolled and then it was like, boom, I was out of there. Because we went to the school; we met the teacher, saw the room, very nice person and place. But I got the homework assignment and the homework assignment was gibberish. I had no idea what to do and such was this feeling of just, like, despair and hopelessness, I was like, I cannot be a part of this. I remember the assignment. It was about identifying scalene, isosceles, and equilateral triangles. I’ll tell you this: I am quite good at that now. But at the time, like, I didn’t know what those words meant. And you know, at that moment we had Encyclopedia Britannica, could not Google this or even Ask Jeeves or AltaVista this so well back then. It just—it was an entry moment of failure and realizing that so much of math is like a, kind of a social kind of construct. And if you’re not part of that social circle, what can you do? So that was a bummer. Another bummer was eighth-grade math, learned it all by way of videotape. You know, put in the tape and watch—not gonna say the person’s name and not this person’s fault—but it was just like watching someone work on a whiteboard. Kind of a precursor to Khan Academy, kind of a drag. Went to high school—

Bethany Lockhart Johnson (09:02):

Wait, wait, wait, wait. We were—I’m not ready to jump to high school. Wait. Can you pause for just a second?

Dan Meyer (09:06):

Yeah. Rock on.

Bethany Lockhart Johnson (09:07):

I just need you to go back to the triangle thing. So in that moment, what did that mean for you that you had had all these experiences with math and then you encounter math in a completely different sphere, a public school, and it did not have a connection or meaning to you because prior to that, it sounds like it was pretty positive. Right? Explore these things you’re curious about; there’s not, like, a level you need to stick with…

Dan Meyer (09:33):

Yep, yep. Yeah. I think that’s right. Maybe it was a little bit of a classic, like, “Oh, I didn’t have a growth mindset; my mindset was like, ‘Oh, I’m good at math because I am, you know, born that way,’” and all of a sudden, that identity was, you know, thrown into question. And, you know, my foundation was all of a sudden quite shaky. And yeah, that’s—you know, I think I taught a lesson recently where I was like, “Hey, this whole thing with a less-than or equal-to sign and a greater-than or equal-to sign, like what those signs are: it’s just, it’s language. And if it’s confusing to you, it’s not because you’re bad at math; it’s ’cause language is oftentimes confusing ’cause people have to agree on it.” So I dunno, that sort of thing is kind of filtered in, filtered back in periodically, some sympathy for like how a lot of math is like just socially agreed upon ways of working with, you know, numbers, shapes, patterns, that kind of thing.

Bethany Lockhart Johnson (10:20):

OK.

Dan Meyer (10:21):

Anyway.

Bethany Lockhart Johnson (10:21):

  1. And in this home school—I have a lot of questions about that, but I’ll stick to one—were you in a community of people that you talked about these math ideas with? Were you homeschooled solo? You have a sibling, so I think you were together, right?

Dan Meyer (10:39):

Yeah. Yeah. I’ve got a twin sister. So we were, you know, like, right on with each other the whole way through there. And yeah, so we had—but it wasn’t, it wasn’t like a—it was a lot of individual work, with my flavor of homeschooling.

Bethany Lockhart Johnson (10:54):

  1. Got it. And the tapes—wait, before you go to high school, the tapes, the VHS tapes, which I’m just loving this image—

Dan Meyer (11:02):

Yeah.

Bethany Lockhart Johnson (11:02):

Was that a positive experience? Was that because that was an area of math that whoever was homeschooling you wasn’t that comfortable with? Why was it that route for the tapes, and what was that? Was that joyful for you?

Dan Meyer (11:15):

Yeah, definitely not joyful. Yeah, it was like, if you had questions, you couldn’t really ask them of the VHS tape. It didn’t work out so well in that way. And it was a lot of operational-type math. It was, you know—there was no give and take; it was all kind of take. From the video teacher. And yeah, I was doing that because my homeschool teacher, my mom, who is very smart in lots of areas, did not have the math knowledge or confidence, especially to help with math at eighth grade. And that was a big reason why, flash-forward to the next year, went to high school.

Bethany Lockhart Johnson (11:48):

Nice segue. OK.

Dan Meyer (11:50):

<laugh> You caught up to high school…I encountered just like four years of just crazy-good, just bonkers-good math teachers who just really changed a lot for me. Especially, Mr. Bishop and Mr. Cavender, very cool folks who did a lot. And especially, I think Mr. Bishop and Cavender both modeled for me what curiosity from a knowledgeable adult looks like. Like someone who, you know, now I can say to myself, “Oh, they were kind of like putting on an act of being very curious about answers they were hearing for the 2000th time from a student,” let’s say, but what a powerful experience that was for me to feel like, “Oh, wow, my thoughts are interesting to someone besides myself.” I got like, maybe it’s two real highlights that I’ll just point to, from my math bio that made me the math teacher and person that I am. Let’s see here. Maybe three, if you you’ll indulge me. One is just like the idea that you could do math wherever you have your brain, a pencil and a paper. And so I remember like in high school, I was in church with my family and kind of a little bit bored of whatever’s going on. And I just had the Bolton and I like drew a pentagon, a regular one, then a hexagon, a regular one, and kept on drawing, like adding sides to the shape. And it was like, it was becoming a circle. And, you know, I was able to take the area of each of those shapes and say, you know, “What happens as you send the number of sides to infinity?” And watch as the formula for area of a circle, Pi R squared, popped out. And it was kind of a literal religious experience, in that moment, just like, “Wow, like my brain’s so cool and math is so cool and paper and pencil’s so cool.” And so there’s that. Just that kind of experience was pretty awesome. And then I would just say like, I’ve had some really fantastic experiences with math in the world itself. Stuff like—let’s see, this is gonna invite more questions from Bethany, probably, maybe I should avoid—I got, I have a Guinness—I have a Guinness world record that’s almost 20 years old. This Guinness world record is—it’s old enough to drive basically at this point. And almost old enough to drink. But like it was—it was a record for chaining the longest paper clip chain together in 24 hours. And the only way I was able to break that record was through mathematics. Where, like, I would be finishing a box of clips. And I would say to my buddy who was there, “I just finished a box of clips.” And that person would type in the number of clips that I had just done. And then a mathematical formula that I had created would tell me how many—how long the chain was at that point. It was being rolled around a spool. And like, it’s just like, wow. So math just made this possible. You know, math revealed that the record I was trying to beat was beatable, because I did the math on it. It was, like, thousands of feet long in 24 hours. And other folks might be like, “Oh, like, that’s that’s huge!” But me, I was like, “All right, let’s divide this out. You know, divide by 24 hours in a day, divide by 60 minutes an hour, 60 seconds in a minute. Oh, that’s like one clip every four seconds. That’s really slow.” You know, think about that <counts aloud>, “Clip, two, three, four. Clip two, three…” It was just slow. So math helped me, you know, wreck that record. Which to my knowledge still still stands. Don’t get any ideas, Math Teacher Lounge Folks! Is this news to you, Bethany? You haven’t blinked in the last, like, five minutes. I’m curious if this is new.

Bethany Lockhart Johnson (15:20):

It is news to me. And I have so many questions. Because OK, if four seconds was slow, so then what was your like—so then I’m assuming a hundred clips per box? Like, what was the rate, you know, per box? How long did it take you to complete a box? What did this friend like? Did this friend stick with you for the whole 24 hours? Did you really do it for 24 hours? Or once you beat the record, did you rest? How did you account for biological function? Like, needs? Like a restroom?

Dan Meyer (15:51):

<Interrupting> Like what?

Bethany Lockhart Johnson (15:51):

Eating.

Dan Meyer (15:51):

Like what, Bethany? OK.

Bethany Lockhart Johnson (15:52):

Um, Sleep.

Dan Meyer (15:55):

So yeah, maybe we dive into some of the specifics in a different time.

Bethany Lockhart Johnson (15:59):

Just tell me one of ’em. Tell me one.

Dan Meyer (15:59):

I’ll just say. So as to discourage other Math Teacher Lounge listeners from taking this on—back off of the record, folks!—this was back in college, so I was a little more limber back then. But I did one—I think it was 1.8 seconds per clip. For an entire 24 hours. Just like, so just like think about it, would you? If you’re gonna step to me on this one, just think about that, OK? And then, and then, you know, make an informed decision.

Bethany Lockhart Johnson (16:28):

Wait. Wait, wait, I just wanna tell you one thing. I’m picturing somebody with a straw, and like, giving you water as you keep clipping. I’m picturing, like, music, I…

Dan Meyer (16:37):

That’s not far. That’s not far. That’s not far from—yeah.

Bethany Lockhart Johnson (16:40):

So many questions! OK. Go on. Sorry, sorry, sorry. Go on. This is your bio.

Dan Meyer (16:44):

We gotta, I gotta wrap this up. I wanna hear your bio. But, like, I would just say like this move to this sense that math is actually a thing that’s useful for more than just a grade; it’s useful for more than just, you know, the societal, you know, adulation that comes from being a math nerd. That kind of thing. And so that, I think that affected a lot of math teaching for me. And, if I gotta, like, summarize math teaching itself in a journey, it went from like, “Hey kids, aren’t I awesome?” to, “Hey kids, isn’t math awesome?” to “Hey kids, aren’t you awesome?” And like that journey was facilitated by lots and lots of people, you know, a lot of personal growth, but at this point, at one point I was like, “Hey, math can help you get records and whatnot. It’s really useful.” And now I’m like, “Wow, your brain’s just doing just really interesting things. I can help you understand how interesting those things are, and maybe make them more interesting, or interesting in a different way, with some help here.” Let’s put a pin in that. That’s the math bio.

Bethany Lockhart Johnson (17:50):

  1. So I have no doubt that if you ask someone in your life, listeners, for their math bio, that you will discover things about them that you never knew. Literally the questions that I have…I have so many question. And Dan is very good at, you know, bringing me back. Bring me back, like, come on, come on. But I just wanna say, overall, your journey seems pretty joyful. It seems pretty joyful. It seems pretty full of confidence. I don’t wanna say “ego” in a negative way, but I wanna say you were buoyed by these experiences that allowed you to feel like math was a place for you to thrive.

Dan Meyer (18:36):

Right.

Bethany Lockhart Johnson (18:36):

Where you could try out things. You could try it out and just, “I could do that!” Right? Like…your relationship just felt very, like…you felt like you had autonomy, agency, perhaps much like you, you operate in this world. Dan, is that, is that right <laugh>?

Dan Meyer (18:54):

Yeah, I think it’s fair to say. And without telling too much of her story, my twin sister with whom I share most things, including genetics, you know—she had a very different experience in math early on. She’s brilliant. She’s a doctor. And not, you know, the book kind of doctor that I am, but like a real, you know, medical doctor. She’s brilliant. But we were—we encountered different messages about who math was made for, early on in, you know, in our entire math learning. And she—we both digested the messages that we were sent, and took, you know, different, different paths because of them, for sure.

Bethany Lockhart Johnson (19:31):

Funny how that works. I thank you, Dan. I do. For in all sincerity, I appreciate you sharing that. And I think that it’s exciting to hear how it influenced your teaching. It feels like you want to cultivate those experiences for your students. And I’ve been in the room when you’ve presented; I was in a room where you taught a class live. It felt like you were making space for the students to have these aha moments. And it feels like in your work at Desmos, and now Amplify, you’re trying to create these products that allow folks to recreate these amazing math moments. Right? And that it’s for everyone and that it’s accessible and it can be very positive. I feel like I have this new perspective on kind of the energy you bring to your teaching. So thank you for sharing that.

Dan Meyer (20:24):

Yeah. Been a pleasure. Thanks for your questions here, Bethany. And it’s been—it’s been fun to reflect on it. And I do—I do feel very lucky in lots of ways. Privileged. Lucky. I know, like—I think the world has been set up for my success in lots of ways, as who I am. But I do just…yeah, I feel—I want more people to experience what it’s like when you walk into a math classroom and it’s like, “Hey, this place is for you. You have interesting thoughts about this. Let’s get ’em out.” So that’s awesome. I would love to hear about you and how you…I mean, we have taught different kinds of kids. You know, I taught kids who I think were somewhat set in, they’re a little bit more solid at secondary in who they are as a math learner. Like “I know who math is and who I am with math.” And I’m really excited to hear what your math bio allowed you to do with students who were perhaps open to the idea that they are very mathematical or at least not yet closed off to those possibilities. So, yeah. What are some of the high, the, you know, the high and low water marks of the making of Bethany Lockhart Johnson, math teacher? <Laugh>

Bethany Lockhart Johnson (21:24):

Thanks for asking, Dan. <Laugh> I’ve shared aspects of my math bio because I think it really informs the way that I talk to people about math and think about math. And I like to share it because I want folks to consider their own journey with math, as we like engage with problem-solving and sense-making and thinking about the students in our classroom. My dad is a math and computer science major. So he had a computer very early on. I wish he had invested in Apple early on when he had like one of the first Apple computers ever. And, sorry, dad, but it’s true. I do wish you had done that.

Dan Meyer (22:10):

I’m sure he does too.

Bethany Lockhart Johnson (22:11):

Oh, he does. So math and computers and conversations about counting, you know, it felt like it was kind of just normal. Like it was around me. And I went to Montessori, which is a private school that—oh, they have some public Montessori—but it’s very self-directed. And so we would have these kind of charts, these goals for the day that you explored. And so we would explore math in very, I don’t know, very organic ways, with these natural materials. And I feel like I excelled at math, but it wasn’t something that I was conscious of. It was just like, “Oh, well, yeah. Math, it’s, you know, something we do.” And then when I went to—when I left Montessori in fourth grade, I remember that year being a lot of like repetition. I was like, well, we did this. We covered this. And except for the mission project that we hadn’t done, that was all new. And that’s it. For another time I’ll share about that. But <laugh> then, they actually, I was moved with a group of students to the fifth grade math class, ’cause we had already done the work that we were doing. And so, it wasn’t that it felt like it came easily, but it did make sense. What we were doing made sense. And then it all kind of changed. There was a lot of change in my family. There was, like, missed school time. And we moved and I went to a new middle school and I was in this environment with students who—it was like an accelerated program. And so I was in this environment with students who were pretty competitive with each other. And I remember going—and I was not from of a competitive environment; like Montessori is not competitive. It’s not about that.

Dan Meyer (24:02):

Right. Right.

Bethany Lockhart Johnson (24:02):

It’s—it was very strange to me that I would be competing against anyone, even competing against myself. And I, you know, knew how to set goals. But it was a different level of energy. And I felt like, because I wasn’t competitive in that nature, I felt like that kind—I felt on the outside of a lot of the energy. Besides the regular, like, middle-school feeling outside of things. And I remember the first friend that I made. Hi, Susan! She had said to me, this was like maybe our second week of school, she’s like, “Oh, at lunchtime, come with me to math club.” And I was like, “OK.” And I remember walking into that room and I had no idea what was going on. And so that was one of the first times where I was just like, “Whoa, I have absolutely no concept of what they’re talking about or what.” These are my peers. I felt very—it was very—it was strange. It was strange. I was like, “This doesn’t feel like a space for me at all.” When I think ordinarily I was kind of excited about the idea of going to math club at lunch, you know? And over middle school, I kind of just got progressively more and more behind. It started with missing some work and then missing more and then checking out. And, you know, the problem was that I really made it about myself. That, like, it wasn’t something that I was then good at or could do. When really it was that well, pre-algebra, I was having a really hard time in like the rest of my life. And so I wasn’t real present in that class. And so when I got to algebra, it didn’t make a whole lot of sense. And then if I missed Monday, Tuesday, and Wednesday, well, Thursday is gonna be hard, you know? And, it just got progressively harder and harder. So I had this great idea that between eighth grade and ninth grade, I was going to take this accelerated geometry class. ‘Cause that was the ninth grade class, it was geometry. And I would take it. It was like geometry in three weeks or something. So then when I entered high school, I would’ve gotten this like jumpstart. But I wish I had said, “Oh, I’ll take this, and then in ninth grade I’ll take geometry.” So like I’ve already kind of gotten a preview of the material. But instead I went to the 10th grade math, which was like intermediate algebra, trigonometry. I had absolutely no clue what was going on. And I had a very, very difficult time and I wasn’t ready for that class. But it was exacerbated by the fact that this teacher felt very free to let the freshmen in that class know that they shouldn’t be in that class. That this class was for 10th graders.

Dan Meyer (26:49):

Oh wow. Oh, wow.

Bethany Lockhart Johnson (26:51):

And we had a rather contentious relationship. And I will never forget that we were in the hallway, and he says to me, “You don’t belong here.” And I’ve talked to—I’ve talked to a girlfriend of mine about her experiences with this teacher and she has the fondest memories.

Dan Meyer (27:13):

Wow.

Bethany Lockhart Johnson (27:14):

She—in fact, almost everyone I’ve spoken with, you know, if we are talking about past teachers or, “Oh, what was that class like?” I mean, they just have these wonderful memories! And for me, my sense of like belonging was already so on a tight rope anyway, that to have this adult, this teacher, tell me, “You do not belong here,” just crushed me. And in hindsight, I think he was saying like, “This class is too hard for you.” I mean, maybe. <Laugh> But all I heard was “You don’t belong here.” And I extrapolated it to connect to math and to anything having to do with math in general. And it just got worse and worse through high school in the world of math. My next math class was even—I had to repeat that class, and still didn’t understand what was going on, and felt more out of place, and, you know, it’s one of those things that I just kind of had started to accept that, I guess, math isn’t for me. I guess I’m just not a math person. Or whatever these stories are that I started to create and build and find evidence for around me that was informing that this wasn’t for me. And I had always done well in school. I was in, you know, accelerated classes. I felt like I was capable of problem solving. And yet in math, I just felt like I had all of this evidence saying that I didn’t belong there. And so when I went to college, I took whatever two math classes were—you know, I was in performing arts and then I did ethnic studies as well. And I remember you had to take two math classes that were GEs. There were these classes that if you don’t wanna deal with math, you go take those classes. And I was like, “Oh yeah, I’ll take that. I’ll take that.” The gulf widened, you know? <Laugh> And I didn’t feel like anxiety when I had to do things like balance my checkbook or navigate math in everyday spaces. It was just, it would never occur to me that I would like seek out opportunities to engage with math or think about it or talk about it.

Dan Meyer (29:35):

That is—yeah, that’s just so wild, how, I don’t know, like it’s often, from the student’s perspective, it is them in a vacuum with math, and the two of them interact and decide if, you know, if they’re right for each other. But from the grown-up perspective, it’s just, you know, it’s a little bit clearer that your story with math was not just you in math, but you with, you know, various external things happening. With family, various teachers playing their different roles—sometimes, you know, really tragic and horrible roles—and then like the compounding mathematical debt that it feels like you were kind of building up, as challenges in one year didn’t get resolved and moved into the next year and so on. And all that makes me wonder—it makes me, like really, really scared, first of all, because I would bet that your teacher might not even remember that moment, that for you is part of just a pivotal moment in your math story, and how many kids have I played—have I been a part of their story in that way and wouldn’t even recall? You know what I’m saying? So that’s a scary part. And then also I’m just wondering, like, how can we, how can we help kids who are in those moments recognize that, “Oh, this kid is like absent a bunch,” and give them more resources to be successful rather than say, “Well, you just gotta try harder now.” Those are things I’m wondering, hearing your story. Thank you for sharing that. I’d love to know more about how you then became a teacher and what all that did for you as you helped students.

Bethany Lockhart Johnson (31:06):

Well, but to answer what you were saying, it wasn’t that I wasn’t—I was always absent physically, but at least like mentally at that point, because it had become so difficult. It didn’t make sense to me. So I was just really checked out in math class, you know? So in hindsight, you know, as a teacher, for sure I can look back, and especially hearing these stories and these experiences my friend had with this teacher and just like chalks up as one of like her most favorite teachers ever! And you know, he clearly did a great job for so many students. But for me, and I think for some people, they would’ve taken those challenges and, you know, it would have fortified them in a different way or something. But for me, I took it upon myself to mean certain things about myself and about my ability and what I was capable of. And so I think, I think in some ways, you know, yeah, it’s all, it’s all interconnected. You know, when your students walk in the door, they’re not this—the things that are impacting them in their life are coming into the room with them. And I don’t think we can take that for granted and think, “Well, if they just focus hard enough…”

Dan Meyer (32:21):

Yeah.

Bethany Lockhart Johnson (32:23):

So let’s go back to my love of Oprah. You know, Oprah talks about living your best life. And something I really appreciate about Oprah is that she encourages you to examine, like, sticking points, right? Like she doesn’t just say, “Well, this…just pretend nothing ever happened, and everything’s fine!” You know, she really talks about making time for reflection. And I kind of got mad that anytime I thought about math, or math schooling came up. Or, you know, whatever, any time that came up that I just felt UGH about it. And I felt like a failure. And I’m like, “You know what, what if I took a math class? And I’m an adult at this point. I’ve graduated. I have—I’ve left college. I have my degrees. But I said, “What if I took a math class?” So I went down to, the city college and I found out that you have to take this exam, like a placement exam. And I went and took the placement exam. And I remember it’s one of the responsive tests where if you get it right, the next question’s a little harder. And so I’m taking it, panicking, because it’s getting more like…I just, you know. And I remember it placed me in like, whatever, Algebra Something, this class that was far more advanced than I thought I should be in. And I was like, there’s been a mistake! You know, and I went to the counselor and said, you know, “I got these results, but I couldn’t answer a lot of the questions on the test.” She’s like, “No, no, no, that’s how it works.” So I go take this class and the class was hard. And I decided that I was just gonna keep showing up. And every day before class, I kid you not, they had a little math…it was like a math center where you could go in and they had a bunch of tables and you’d sit at the table and you could sit and do your work or whatever. If you had a question, you walked up and put your name on a clipboard and then somebody would come and help you. So I did that, every single—like before every single class I would go in. I’d sit there. I’d do the work. I’d go. And I’d get help. Like somebody would walk over and you know, some kid for whom they’re like this…you know, they’re math—it might be you, Dan! It could be you! It could have been you! You know, would walk over and be like—

Dan Meyer (34:38):

Yeah, I was in Help like that. Naw, it’s awesome. Love, love those people. Yeah.

Bethany Lockhart Johnson (34:42):

And you know, I did it. And I did so well in the class. I did exceedingly well in the class. And I said—

Dan Meyer (34:50):

Take that! Take that, everything! Every other math experience!

Bethany Lockhart Johnson (34:53):

I said, what?

Dan Meyer (34:55):

Yeah!

Bethany Lockhart Johnson (34:55):

Wait a second.

Dan Meyer (34:56):

Yeah.

Bethany Lockhart Johnson (34:57):

And it was that I was present. I was not afraid to look at what didn’t make sense. And if something didn’t make sense, it didn’t mean there was something wrong with me. Whaaaaat?

Dan Meyer (35:10):

Yeah. Yeah.

Bethany Lockhart Johnson (35:10):

So I was just in such a different space. And then I took another math class and that class was even harder. And I did the same thing where I went to the little lab and, you know, and it just buoyed me. And it made me realize that, like, this story, that my experience with it was very powerful and that was a real lived experience, but that it didn’t have to define my relationship with math. But then! I decided I wanted to go back to school to become a classroom teacher. And I totally—this was a couple years after that math class experience. So now, you know, I’m healing my relationship with math through basic positive experiences, da, da, da, you know, doing other work. But fast-forward, for a whole number of reasons, decided to become a classroom teacher. And I freaked out. All of my—like, I’m studying for the GRE and the CSET and all the things you have to the hoops you have to jump through to apply to the masters program and the credential program. And I freaked out. I was so close to quitting, Dan. Because I was convinced that the reason I couldn’t be a classroom teacher is because I wasn’t capable in math. Like I was—it was all that resurfaced. And even though I now had evidence to say something different, to the contrary, it was still so visceral. And I was so scared. But I passed that Math CSET.

Dan Meyer (36:47):

Get it.

Bethany Lockhart Johnson (36:47):

I did well enough on the GRE—

Bethany Lockhart Johnson (36:50):

Yes!

Bethany Lockhart Johnson (36:50):

You know, I finished my credential. I worked really, really hard. I had to work so hard in my student placement, when I was student teaching for a fifth-grade class, ’cause I felt like, “Oh my God!” I mean, now I could do the mathematics, but I couldn’t TEACH it to someone, you know? But I had amazing professors at UCI, and my math professors really like just—and my mentor teacher! shout out to Jennifer! shout out to Phil!—these amazing mentor teachers who just loved teaching and who loved—like you said, you have these teachers in your life who you got to see the way that they listened to students. They taught me about that love of listening to students. And then I fell in love with, you know, CGI, cognitively guided instruction, and started learning all about all of these educators who just wanna learn from students’ thinking. And it was just so powerful. And I realize as a kindergarten teacher that I have this really special role in helping to create space for a positive school experience. Like we get to talk about—I talk about my students as mathematicians; they’re writers; they’re thinkers; they’re problem-solvers. And I also want to make space for parents. Some of them, this is their first kid in kindergarten, and they brought all of their experiences, a lot of it negative, that they had had with mathematics. So I felt like it was such an exciting opportunity to help show parents how they could have conversations about math with their students. That also, I hope helped heal their own anxiety with mathematics.

Dan Meyer (38:41):

Right, right.

Bethany Lockhart Johnson (38:42):

Like, I’ve not even scratched the surface of math learning. But I just have such a changed perspective and relationship with math. And I just fell in love with the sense-making. And I fell in love with the journey of it. I still experience math anxiety about a wide variety of things, but I do love it. And I feel like there’s a space for me in relationship with math. And that really excites me.

Dan Meyer (39:09):

Yeah. Wow. Listen to that folks. We, we don’t deserve her! Bethany Lockhart Johnson! She got some math game and could have gone off there and, you know, become an accountant or something. And she chose to hang with kids and their parents. That’s so wild that you’re like rehabbing parents and their self-conception about mathematics at the same time. I think that is so cool.

Bethany Lockhart Johnson (39:32):

Well, thanks Dan Meyer. I gotta tell you, I don’t know when or if I’ve ever shared that much of my math story. So there is a certain amount of vulnerability there. But thanks for listening. And I’m glad that, you know—I think there’s space for us to talk about these things that we care deeply about, but that can be really complicated.

Dan Meyer (39:56):

Yes. Yes. And I love how you you’ve really sharpened the point on what I feel like I know in my brain, but not my body all the time: That individual teachers are huge. Like, individual teachers, and individual moments of teaching, are just not something to play with. You know, like that kid that’s in fifth grade having a tough time, like there could be a month or a day-long period where all of a sudden, like, you’re just like, “Oh yeah, I’m back in the mix; like, me and math are still buddies.” And there’s also like moments that you had, where like one casual word from a teacher can just really put a huge wedge between you and a discipline that needs and wants you and your intellect in it.That’s a really powerful testimonial. Not just for math, but for teaching, your teaching bio.

Bethany Lockhart Johnson (40:43):

I agree with you. And I also, I also…you know, I think we can’t put this—we are human. Teachers are human. And so I’m sure there’s things I’ve said to students. Twenty-second story: a student stapled his finger in my class. <Laugh> And I remember holding his hand and saying, “Why did you do that?” And I wasn’t yelling at him, but it was like, I am sure the panic in my face…like, that’s what he’s gonna remember about kindergarten. Right? <Laugh>.

Dan Meyer (41:19):

Yeah.

Bethany Lockhart Johnson (41:20):

That. He will remember that. He won’t remember the really cool city project we did. He’s gonna remember his teacher holding his hand, in his face: “Why did you do that?”

Dan Meyer (41:30):

Yeah. Yeah.

Bethany Lockhart Johnson (41:30):

You know, so we’re human. And yes, it was awful that that teacher said that to me. There were a thousand other ways that he could have said whatever it was he was thinking. And that did deeply wound me. But despite his influence—because teachers do have a lot of power and I think they need to examine that power, ongoing—it still doesn’t have to define us. So I don’t wanna put this pressure, like—

Bethany Lockhart Johnson (41:55):

Sure.

Bethany Lockhart Johnson (41:56):

“So never ever say anything negative!” You know, we’re human.

Dan Meyer (42:00):

I feel like that kid is currently on some office-supply podcast talking about “your office-supply bio” and saying, “Let me tell you how I first got really freaked out by staples. Here’s the deal: I only use paper clips. And here’s why.”

Bethany Lockhart Johnson (42:15):

“Here’s why.” But then—callback!—he’s going to stumble upon THIS podcast and think, “And because I’m so adept with paper clips, I can beat that record!”

Dan Meyer (42:30):

Though—aaay! whoa! Settle down!

Bethany Lockhart Johnson (42:31):

BOOM.

Dan Meyer (42:31):

Don’t get any ideas, kid. No way. Uh-uh. I don’t like that at all. That’s not what—that’s not what I want to have happen here. No, thank you.

Bethany Lockhart Johnson (42:41):

Well, I’m spent, Dan. I need a nap.

Dan Meyer (42:45):

Yeah. I need a box of Kleenex. I need a nap. I need a—yeah, for sure, a baba. Uh-huh. Definitely. Hey, so look, I’m not expecting you folks out there in the lounge to kind of give us the same depth or breadth. You know, we are here, of course, for your entertainment. Feast on our stories and dramas. But I would love to know at some point, like, what are a few, a few moments that really came to define you mathematically? Came to influence you as a teacher? I think we would do really well for each other to understand that about all of our processes. So yeah, I would just toss in a plug in for Twitter, @MTLShow, or Facebook, Math Teacher Lounge; it would be fantastic to hear from you.

Bethany Lockhart Johnson (43:24):

Thanks so much for listening.

Dan Meyer (43:25):

Thanks, folks. Bye now.

Stay connected!

Join our community and get new episodes every other Tuesday!

We’ll also share new and exciting free resources for your classroom every month.

What Dan Meyer says about math teaching

“Teaching, more than other professions, is a generational profession. The kinds of joyful experiences we offer, or don’t offer, now affect the experiences students that haven’t even been born yet will have years later.”

– Dan Meyer

Meet the guests

Dan Meyer

Dan Meyer taught high school math to students who didn’t like high school math. He has advocated for better math instruction on CNN, Good Morning America, Everyday With Rachel Ray, and TED.com. He earned his doctorate from Stanford University in math education and is currently the Dean of Research at Desmos, where he explores the future of math, technology, and learning. Dan has worked with teachers internationally and in all 50 United States and was named one of Tech & Learning’s 30 Leaders of the Future.

Bethany Lockhart Johnson

Bethany Lockhart Johnson is an elementary school educator and author. Prior to serving as a multiple-subject teacher, she taught theater and dance and now loves incorporating movement and creative play into her classroom. Bethany is committed to helping students find joy in discovering their identities as mathematicians. In addition to her role as a full-time classroom teacher, Bethany is a Student Achievement Partners California Core Advocate and is active in national and local mathematics organizations. Bethany is a member of the Illustrative Mathematics Elementary Curriculum Steering Committee and serves as a consultant, creating materials to support families during distance learning.

A woman with curly hair and glasses smiles outdoors; a man with short dark hair smiles indoors in front of a blurred math teacher lounge, highlighting valuable math teacher resources.
A graphic with the text "Math Teacher Lounge with Bethany Lockhart Johnson and Dan Meyer" on colored overlapping circles.

About Math Teacher Lounge: The podcast

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

S5-04. Coaching tips for managing math anxiety in teachers

A blue graphic with text reading "Math Teacher Lounge" in multicolored letters and "Amplify." at the bottom, with abstract geometric shapes and lines as decoration.

So far this season, we’ve investigated math anxiety in students and its causes with passionate researchers and curriculum experts, including one from Sesame Workshop! Now we hear from Dr. Heidi Sabnani, consultant, coach, and co-host of Math 4 All, as she gives us research-based tips for teachers who are facing math anxiety themselves! Listen as we discuss Heidi’s own math anxiety and journey through math, the effects teacher math anxiety can have on instruction, and practices educators can implement right away for overcoming math anxiety.

Listen today and don’t forget to grab your MTL study guide to track your learning and make the most of this episode!

Download Transcript

Dr. Heidi Sabnani (00:00):

Coaching is the opportunity to provide that just-in-time kind of professional development for teachers, if we go at it in a slightly different way.

Dan Meyer (00:10):

Hey folks, welcome back to Math Teacher Lounge. I’m your host, Dan Meyer.

Bethany Lockhart Johnson (00:14):

And I’m Bethany Lockhart Johnson.

Dan Meyer (00:16):

Bethany, how are you doing, and how are you feeling about our current trajectory through this exploration of math anxiety?

Bethany Lockhart Johnson (00:24):

Dan, I gotta tell you — let me make it about me for a second. <laugh>.

Dan Meyer (00:29):

Go. Do it.

Bethany Lockhart Johnson (00:30):

If only I had known that so many other people experienced math anxiety, and I wasn’t the only one. I mean, I’ve said it before, but you know, I hope that this series so far is helping to reframe math anxiety for folks who maybe have a narrow definition of it … and I guess expand, reframe. And also, for those folks who are working with students who have math anxiety, or who they themselves have experienced math anxiety, I hope they’ve found some tools, some resources. Right? Like, “Yes!”

Dan Meyer (01:04):

Yes! Same.

New Speaker (01:06):

And what about you? How are you feeling?

Dan Meyer (01:08):

Yeah, I hope this has been cathartic for all of our listeners who have experienced math anxiety, and not re-traumatizing, that there are lots of people who feel this way about math in particular. And that it’s so well-experienced, so broadly experienced, that people have decided to study it a whole bunch. Which is great. And now we’re moving into our kind of solutioning. You know, in my relationships, I’m sometimes told that I rush too quickly to solutions before trying to understand what’s going on. So I’ve loved our episodes that have been about what is going on. And now, with Dr. Truglio last episode and our guest today, we’re moving more into some solutions, which I’m excited about.

Bethany Lockhart Johnson (01:49):

I don’t know, Dan, I think next time I see you I’m gonna bring a list of some concerns or worries I have, and I would love if you just get right to the solution. I’m actually OK with that.

Dan Meyer (02:01):

All right. Good to know. Good to know. I’ll say I am coming off of a day where I was feeling some teacher anxiety today, because I taught really real students. So just to let you know where I’m coming from here. I taught some seventh grade students at Montera Middle, here in Oakland Unified School District. Taught ’em a lesson outta the Desmos curriculum. And it was one of those lessons where some thorny stuff comes up. I’m talking students who are wrong for smart reasons, who are right for the wrong reasons, and their minds are working so hard trying to figure out inequalities. And I’m like trying to just step into that process as an educator with some curriculum and help shape those ideas. But it’s just … I don’t know, you want it to be as easy as like, “let me just show you how it’s done a few times, and now you got it.” But whew, some of these ideas, they take a long time to form up and they’re really easily reshaped by lots of stuff going on. So that’s where I’m at, anxiety-wise, right now. The teacher anxiety stuff.

Bethany Lockhart Johnson (03:04):

I think there’s probably plenty of teachers who do kind of just say, this is how you do it. And so, from what I have seen of your teaching and what I know of the Desmos curriculum, it is such an opportunity to think hard about the things that we are assuming about our students, assuming about what we know about the math itself. And yeah, that requires some thought.

Dan Meyer (03:30):

Yeah, for sure. I came in ready, like, “When you multiply both sides of an inequality by a negative, this sign flips around.” And I could just say that to kids and say, “Hey, remember that! Write that down!” And a lot of them would do it really well, you know, provided the assessment problems looked like ones we’ve gone over in class. And they’re also learning — in addition to that math, they’re learning that math is a giant sack of tricks they gotta memorize, right? So there’s just these pros and cons. And at the end of the one period I’m gonna teach this week, I was like, “Well, your teacher’s gonna go over that tomorrow, when they’re with you instead of me.” So it felt a bit like I copped out on that one. And I’m just in in my feelings about that right now. And I’m gonna try to come on down here and be present in the math-anxiety world.

Bethany Lockhart Johnson (04:25):

I appreciate you sharing that, Dan. And I think … I have a feeling that you could write a pretty catchy rhyme to allow the students to flip and <starting to rap> “multiply by negative. and dit-dit-dit-dit.” Can you feel it? You picking up that beat?

Dan Meyer (04:40):

Ooh, yeah. A nice little beat. Uh-huh. Yup.

Bethany Lockhart Johnson (04:41):

Yeah. You know, you could come up with something pretty clever, and yet you did not lean on your wordsmithing skills. You said, “No, let us dive in.” So what are you gonna do with this lesson, by the way? What happens now? You popped in for one period, and then what happens?

Dan Meyer (05:03):

Yeah. So this is gonna be a blast. I hope you folks tune in. We’re gonna actually release the footage of me teaching this lesson live. You know, it’ll be replayed live. And on top of that, a couple of my favorite teacher coaches and just smart people about teaching are going to be giving commentary. They are gonna be giving the director’s commentary, the sports announcers’ commentary on what they’re seeing. I beg for their generosity in their commentary. But I think it’ll be a lot of fun. I’ve never seen anything like this before, a commentary track on top of a teaching lesson, in this way. So I’m just gonna gonna be excited to see what they noticed that I didn’t, what they might have done, the thoughts they might have. Maybe I’ll do a post-game interview, you know.

Bethany Lockhart Johnson (05:50):

Ooh, yes!

Dan Meyer (05:50):

With my towel around my neck, <laugh> looking all sweaty.

Bethany Lockhart Johnson (05:54):

Ready, set, grow!

Dan Meyer (05:55):

Like, “Yup, we gave it all out there, you know, just a real team effort.” You know, that kind of thing. We’ll see how that goes.

Bethany Lockhart Johnson (06:02):

I actually love that idea. I love that it’s not just this one random lesson that just kind of floats out there, and it’s about, you walk away with whatever feelings you have, and the students obviously walk away, but that this is gonna help other educators.

Dan Meyer (06:17):

Yeah. Yeah. We’ll multiply my anxiety and make it more people’s anxiety. We’ll see how that goes. So stay tuned on the Math Teacher Lounge feed for that. All right?

Bethany Lockhart Johnson (06:25):

All right! And speaking of anxiety, Dan Meyer, we gotta get to today’s show. You know, last time we had some amazing strategies for helping students from Dr. Truglio from Sesame Workshop. I gotta tell you, I sent that episode to so many of my friends, like, “Listen to these ideas!” and have had some interesting follow-up conversations. And we would love to hear what you think about this season so far, at MTLShow on Twitter or in our Facebook group, Math Teacher Lounge. So today, we’re gonna focus on strategies for supporting teachers.

Dan Meyer (07:00):

Yes. Which is why we’re so excited to bring to you folks Heidi Sabnani, who — we’ve had researchers. We’ve had Sesame Workshoppers. And Heidi Sabnani has been a classroom teacher; she’s teacher-consultant; newly minted doctoral degree holder. We’re so pumped to bring to you folks: Heidi Sabnani.

Bethany Lockhart Johnson (07:25):

Dr. Sabnani, thank you for being here. Can we call you Dr. Heidi? What would you. …

Dr. Heidi Sabnani (07:31):

You can just call me Heidi. Yeah. Heidi is good.

Dan Meyer (07:36):

Right on.

Bethany Lockhart Johnson (07:36):

  1. Heidi, thank you for joining us in the Lounge. We’re so excited to talk with you.

Dr. Heidi Sabnani (07:41):

I am super-honored to be here. It’s really exciting and I just really appreciate the opportunity.

Bethany Lockhart Johnson (07:47):

I will say I don’t have a PhD, although the two people I’m talking with right now, both do, and you’re both like holding up your degrees as we speak and saying, “Wah-wah.” But I imagine that if I did, I’d wanna throw that doctor in more frequently, so.

Dr. Heidi Sabnani (08:02):

Well—

Bethany Lockhart Johnson (08:03):

If I sneak in a “Doctor,” Heidi, it’s only out of respect.

Dr. Heidi Sabnani (08:05):

  1. I appreciate it.

Bethany Lockhart Johnson (08:07):

Dan makes me call him Dr. Meyer all the time.

Dan Meyer (08:10):

You don’t call me Dr. Dan or Dr. Meyer, ever. So—

Bethany Lockhart Johnson (08:13):

I will now!

Dan Meyer (08:14):

—this respect only goes towards Dr. Heidi, it seems. But yeah, we’ll take that off the air.

Bethany Lockhart Johnson (08:19):

Well, we are going to delve into your research on math anxiety soon, because I actually — speaking of becoming a doctor, a new doctor, I have some questions. We have questions about your research, but on a personal level, I really appreciated the way that you share that you yourself experienced math anxiety as a student. So I’m wondering if you could tell us a bit about your own math anxiety, your <laugh> journey through math.

Dr. Heidi Sabnani (08:50):

Yeah, so much like the people in the research that I did, and with the research that I read by others, many of us can tie the beginnings — or like the evil villain origin story of math anxiety — to a particular event, or series of events. And my series of events started, the big blow-up, I guess, in fourth grade. And I had had some struggles in school — I have mild dyslexia and dyscalculia. And so I had always been in the special group of kids who got some extra attention <laugh> from the teacher, or from an aide, or whoever happened to be in the room. But in fourth grade — at that time, they taught multiplication and division facts in fourth grade. Many, many moons ago. And I struggled greatly with just understanding what was happening and why we were moving so quickly. And, my teacher was probably not the best person to be entrusted with my learning at the time. Like, her style may have been OK for others, but it was obvious that she felt like kind of wasting her time with some people in the classroom. And I happened to be one of those people.

Bethany Lockhart Johnson (10:26):

Mmm. You said that really diplomatically, though. <Laugh>

Dr. Heidi Sabnani (10:30):

Well, you know, you look back at things from the perspective of many years. And having made lots of mistakes myself in the classroom as a teacher, I try to give some grace to things that happened, and how you remember them. Yeah, that’s my story, but maybe she had a different one, right?

Bethany Lockhart Johnson (10:55):

Yeah. But fourth grade Heidi was still, you know, still experiencing that. Yeah.

Dr. Heidi Sabnani (11:01):

Yeah. Fourth-grade Heidi didn’t like being in the “dumb group” and didn’t like being told that she would probably not graduate from high school. So that was kind of the general environment. And I got further and further behind in math. The dyslexia was less and less of an issue the older I got, because I had great comprehension. And so I could figure out the fluency thing just by the pattern of language, because mine is mild in comparison to so many who struggle with that. But math was not working in that same way. And I got more and more behind and to the point where I was having to stay in every day at recess. And I had had it after like a month. Like, I’m not staying in at recess anymore to do this math that I don’t understand, by myself. Like, not doing it. So I—

Bethany Lockhart Johnson (11:53):

Which, by the way, if there’s one way to make you hate it, <laugh> like, to engender, to endear you to a subject, could it be, “Let’s have you stay in at recess”?

Dr. Heidi Sabnani (12:07):

Right. And so one day I just stormed out of the classroom, I was like, “I’m not coming. I’m not staying, I’m not doing this anymore. I’m done.” And I can remember her standing up at the top of the hill screaming at me to come back, and I was like, “No way. Not doing it. Done with this.” I went to a parochial school, though, and my dad is a pastor. So that whole little incident blew up in the greater community in a way that I didn’t really anticipate as a fourth grader. And my parents had no idea that this was going on. And so they were shocked and dismayed that their — up until that point — oldest child, rule-follower, had done this. But then even more upset when they found out what was happening with my math understanding, or lack thereof. And they did what they knew best at the time. So my mom was a great memorizer. She has a brain like an elephant. And my dad grew up in the British system in India and Singapore, and it was at that time very much based on memorization. And so they were like, “We are gonna just work really hard. We’re gonna buckle down and do this thing <laugh>.” And so that’s what we did, and that’s where all of it began. It was not — it was just about “We’re gonna learn the facts. We’re not gonna ask questions; we’re not gonna think about it, because it’s just the rules. And if you can figure out the rules or the system or what the teacher wants, and mimic what the teacher is doing, then you’ll be successful.” And it was really successful for me, once I figured that out all the way through. My whole goal in high school when I took high school math was to take enough math courses with a high-enough GPA that when I got my BA in college, that I would never have to take math again. And I succeeded in that and got an English degree and a Master’s in world lit. And I was in no way doing math ever again.

Bethany Lockhart Johnson (14:31):

But little did you know that Future You was going to be researching math anxiety. How did you wind up researching it then? How did you wind up researching math anxiety?

Dr. Heidi Sabnani (14:43):

So I took a job in school improvement when I was working in Ohio, after a number of years teaching high school English in Southern California and Guatemala and Michigan, all over the place. And I took a job in school improvement with a co-consultant who was gonna be doing the math end, and I was gonna be doing the literacy end, and we were just gonna go in, and I was gonna make kids love reading, and she was gonna make kids love math, and it was gonna be so fun. And then she decided she didn’t like working with adults and they couldn’t find anyone else. And my boss said, “So you’re just gonna do both for the rest of the year.” After that year, I got requested to go back and, and do this again. I said, “Well, if I’m gonna do this, I’m going to go back and reteach myself the math in ways that I wish that fourth-grade Heidi had learned it, and fourth-grade-and-up Heidi had learned it.” And so that was like the, the beginning of the switch. And so now equal amounts of time in my career have been spent in both. But when I started, when I continued working, when I left the classroom to continue working with teachers, and when I transitioned more into an elementary setting, I began to notice the same behaviors that I had in high school of avoiding math, and avoiding teaching math, were happening in the classrooms that I was supporting. And so I would have teachers come and say, “Oh, can we talk about this literacy thing?” And even if it was like a math meeting, or we were supposed to split the time evenly, and ohhh, for some reason the literacy time talk would just like move over <laugh>. And then there was no time to talk about math at the end. And “Oh, that’s just too bad.” Like, we’re just gonna move on to this next thing. Funny how that happens, right?

Bethany Lockhart Johnson (16:32):

Yeah. <laugh>.

Dr. Heidi Sabnani (16:34):

And noticing teachers’ behaviors around going to and or avoiding math professional development that I was giving. Or getting sick. Or like having to leave the room for a long period of time. And so I began to notice these behaviors. And initially I thought I wanted to look at math anxiety in children, which is one branch of the research that I started with. But as I got into things more, the people that I have the most influence in are adults right now.

Dan Meyer (17:09):

Right.

Dr. Heidi Sabnani (17:09):

And so as I started looking at the research that had already been done, I feel like we do a really nice job of admiring the problem of math anxiety, and we do less in the “what to do about” phase. And so I was like, “Well, if I’m going to continue to be in this career and in this profession, then I need to be doing something in the space of ‘what are we gonna do about it?’” And so that’s how I switched to looking at “what do we do to help teachers?” Particularly elementary school teachers, because that’s the area of greatest need, based on previous research that we could at least do something to help.

Dan Meyer (17:51):

Yeah. A previous guest mentioned that a lot of research is better understood as me-search, especially in this kind of arena, where we’re going back in to try to understand what it was that happened for us and how to prevent it for future generations. And I have nothing but respect for that motivation right there. And your point is well-put, that it is very possible to spend a ton of time examining math anxiety from every angle, every facet, you know, put it up there on a mounted board and admire it … and there’s a lot of value there, but I appreciate that you’re moving into, “So, now what?”

Dr. Heidi Sabnani (18:27):

Yep.

Dan Meyer (18:28):

And so I’d love if you’d share with us and our listeners the broad details of your study, and what you ultimately found. Like, if there are any large takeaways here, what were they?

Dr. Heidi Sabnani (18:40):

Yeah. So a couple of things to kind of just lay a little bit of the groundwork. One out of four teachers say that they have math anxiety. Those numbers increase rapidly, the younger of the grades that the teachers teach. So if we think about preK to two, it’s about 88%, based on other people’s research. So I was like, “Well that’s a lot of people <laugh>!” And so, that’s the scope of the problem. And so I was thinking, “OK, what do we do in these moments?” Because other researchers had said they’re spending — when they don’t like it, they’re spending less time teaching math and avoiding it, or relying on methods that were done to us. Just out of fear of trying something different, at many times. And so one thing that has become more prominent in math education since I transitioned 16 years ago into this has been the role of coaches in school systems. And so one of the questions I wanted to think about was, “What can coaches or math specialists who work with adults as well do to help the teachers that they work with?” So that was kind of the lens that I was looking at. Like, let’s think about the systems that we currently have in place. Is there something that we could be doing that would help teachers, that wouldn’t be so huge or so monumental that with little shifts in our own behavior as coaches or professional development providers that we could make that would make a difference? So that being said, this was a qualitative study, so a small group of people in very intense settings. So I kind of always wanna preface that, because in academic world, you know, there’s <laugh> all sorts of thoughts about that. So I had asked teachers from districts that I work with who self-identified as having math anxiety if they would be interested in the study. So, this is what we’re thinking of, this is what it would look like, and the scope of the support they would have.

Bethany Lockhart Johnson (20:50):

So basically you’re tracking these four teachers who self-identified as math anxious. And were you serving as their coach and kind of seeing what was working?

Dr. Heidi Sabnani (21:00):

I was serving as their coach. Yeah. I was serving as their coach during that time period. And some fairly recent research that had been done was in the idea of “Can we do some reflective conversations or reflective writing around where your math anxiety started, and how that makes you feel both as a teacher of mathematics now, because you are teaching math, and how that affects your identity as a mathematician?” And so that was the first starting point. And that was a really critical moment that I’m glad that I had stumbled across the research on, because it turned out that having someone hear and acknowledge that what happened to them was both wrong and inappropriate, in many cases, and in a couple instances, was traumatic and also abusive — that that mattered. That it was OK to feel anger and hurt and frustration based on what happened to you in the past. And then have that moment to reflect on, “OK, so what do you want the classroom environment that you’re building as a teacher to feel like for your students?” So it was turning that moment of how they felt to thinking about, then, what kind of environment do we wanna make within the math classroom? And what steps can we take to ensure that happens? So that was like, Step One is just thinking about what that looks like. What kind of math identities then do you want to create for your students? Because all of the teachers were very concerned with not continuing the cyclical nature that often happens with math anxiety, from teacher to student and back again.

Bethany Lockhart Johnson (22:54):

Well, and even that validation, right? Like, how many of them hadn’t even had, like you said, had that? We had another, when in our first episode, Dr. Gerardo Ramirez talked about that validation and how key.

Dr. Heidi Sabnani (23:09):

Yeah. That was the first thing. The next step of it, which very different from what I often do — I don’t generally go in and model for teachers — just me, taking over your classroom. I really like to co-plan with teachers and co-teach with teachers and have it not feel like they’re losing control over what’s happening in that moment. And that’s generally the way that I go in when I’m doing professional development in a classroom, right? Like, I’m working with the teacher and we’re a team; we’re doing this together. But in these four cases, these teachers were very, very resistant <laughs> to co-teaching. And so I said, “OK, well, let’s throw everything out. Let’s try whatever it happens to be.” So the modeling aspect turned out to be really important, in part when three out of the four cases, because they were like, “Oh, I can do that.” <laugh> like, Well, yeah, I know you can! Like, it was that having a moment to sit back and see someone else doing it — which is harder to do when you’re co-teaching, right? It’s harder to be reflective in the moment when you’re still thinking about the teaching choices you’re making, because you’re both co-teaching.

Bethany Lockhart Johnson (24:24):

Right. Or sometimes you see, like in co-teaching, it falls into “one teach, one manage,” you know, or something like that.

Dr. Heidi Sabnani (24:31):

Yes.

Bethany Lockhart Johnson (24:31):

I have definitely fallen into that. But you, by modeling … it was almost, I don’t know, it feels like you’re kind of holding their hand. Like, “I’ll show you!” And not that it has to exactly look like that, right? But you found if a coach is coming in and the teacher gets to sit back and basically watch their students learn, they’re probably gettinga ton of information about their students, and they’re really learning some teaching strategies for mathematics that they can then like dip their toe in. I think? <Laugh> Am I kind of thinking of this? I’m trying to picture this and it feels rich and rife with possibilities <laugh>.

Dr. Heidi Sabnani (25:16):

Well, and it, it turned it from … I think sometimes, when I go into a classroom, I learn so much from watching teachers and being able to sit and listen to students, that you don’t always have the luxury of when you’re the teacher. <Laugh> Right? It’s so much harder to be like, “OK, I’m gonna be watching what a kid does, because I’m hoping someone uses this strategy, so I can connect it to this other person’s strategy, so that we can take that apart and look at it and really have immediate discussion around it.” Those are all so many things that are happening in the moment as a teacher. You don’t get to sit back and look at it from a researcher kind of lens. Or look, you know, from the up-above lens. And when I had these conversations with teachers, I was like, “That’s what I want you to do. I want you to be able to sit back and look at all the things that are happening.” Because then you begin to notice not only the moves that the teacher — in this case, me — who was modeling for them was doing, but also the student conversations. And it was almost like having a case study within that moment, where they got to sit back and just experience, versus thinking about all the decisions that they would make at the moment. So that was something that was really surprising to me.

Dan Meyer (26:33):

Yeah. And I love the idea that they’re seeing the pedagogical moves, but they’re also experiencing perhaps a sense of math that’s de-stressed. You know, they are allowing themselves to sit next to students and feel as though they are a student, in ways that if you’re co-teaching, you are still like enmeshed in the gears of the whole lesson. I wonder if that’s a part of this too. So I’m hearing from you that we’re taking these teachers who have all admitted to some math anxiety, and that one of the interventions, or one of the findings, was that modeling worked really well for, again, this set of teachers. But you modeling lessons that highlighted mathematics, that was less anxious, that helped the teachers see that students were engaging in really productive un-anxious ways, brave ways. Were there other kinds of takeaways that you experienced there?

Dr. Heidi Sabnani (27:24):

Yeah. So in addition to that, we had to think about and start at Step One. One of the teachers that I worked with had done her student teaching with a teacher who had math anxiety, and who never taught math. And so she entered her teaching career, never having taught math before or seen it taught. And so in her situation, she had had one course in her teacher preparation program, that was on fractions.

Bethany Lockhart Johnson (27:54):

That’s often the case, right? One math methods course! Help, we have to get it all in in this semester! <Laugh>

Dr. Heidi Sabnani (28:01):

<Laugh> Yes. And so she came in and said, “I feel like I have to start at the beginning.” And so there was no question that was inappropriate, or that we weren’t going to explore or think about. And so that was, I think, the starting place with that particular teacher. And then one other, who was kind of in her same age range, where we had to start thinking about, “OK, how did you learn as a learner? What ways are you seeing your students learn as learners? And then let’s focus on those first as the areas that you wanna explore in your teaching.” And so a lot of that ended up being much more visual and hands-on ways of exploring. And so those were some of the changes in, I think, pedagogy that were the most significant. In a couple of cases, these are early elementary teachers who had had one experience with manipulatives in their whole teaching career up until that point. And so one teacher brought me a bucket of Cuisenaire rods and said, “These are in my room. I don’t know what they are. <Laugh> Are we building things with them? Are they blocks that are just small? <Laugh> Like what are they for?”

Bethany Lockhart Johnson (29:20):

Yes!

Dr. Heidi Sabnani (29:21):

And so, <laugh> it was that idea of, “OK, let’s, let’s explore all the different ways that we can use these, and that we can think about how your students might learn best with this particular tool that you have in your room.”

Bethany Lockhart Johnson (29:34):

So hearing you talk about this research — which by the way, I know, you’re like, for our listeners, it’s all, “Quick, boil down your years and hours of research and synthesize it for us.”

Dan Meyer (29:50):

Your life’s work.

Bethany Lockhart Johnson (29:50):

In a little tiny neat package. But really though, even though I know there’s so many layers to your research, and your work with these teachers, I wanna flag for our listeners that even the things that you’ve identified for us, you were giving teachers space — as coach, giving teachers space, and validating their experience as a mathematician, as you know, as a young student, right? Making space for that experience and validating “Yeah, that was really lousy and your math anxiety is real.” Like, Step One is already powerful. And then you’re creating space where they get to be in their classroom as a learner, right? And have a lesson modeled. And then you’re creating more <laugh> space for them to learn and ask questions. And I have absolutely seen teachers like, “I don’t know what to do with these,” and kind of shove aside the district-provided tools or the curriculum-provided tools. And so even those things, Heidi — Dr. Heidi <laugh> — you know, even if … I don’t know, for me, I am listening to you and just holding those points in mind and feeling like that, alone, if a coach did even just that … I know there’s so much more to it, but what a powerful opportunity for reclaiming math as an educator, right? That’s what I’m feeling.

Dr. Heidi Sabnani (31:25):

Well, and I was hoping that there wouldn’t be … I mean, OK, it’s a double-sided hope. If there was something like so novel and so fantastic that was so different from the things that we have already at our disposal, that would’ve made a much better book or dissertation. <Laugh> But the reality is, there are things that we already know work. And we don’t often take the time or, or are given the time to be able to explore those things. Right? So even as coaches, you have district initiatives or things like, “this is what we’re working on this year,” and that’s fantastic, right? We keep those things moving forward. But if we’re thinking about coaching teachers with math anxiety, no teacher with math anxiety is going to be coming to NCTM.

Dan Meyer (32:16):

Right. Right. Or the training.

Dr. Heidi Sabnani (32:19):

Or the training. They’re like, “Oh, PD day? Literacy! Yes, please! Bye!” You know, it’s that piece of it. So when we have these moments, the coaching is the opportunity to provide that just-in-time kind of professional development for teachers, if we go at it in a slightly different way. It does not have to be huge. It can be things like, they feel that they’re stronger in literacy. Well, then, let’s explore some of the ideas around math, anxiety and math identity and examples of people who’ve overcome either those things or other barriers in their life. And how can those things help form not only your students’ math identity, but your math identity. And it gives entry points in ways that you have access to if you’re a person’s coach.

Dan Meyer (33:18):

So in that sense, I’d love to know from you, if someone came to you at a coach’s meeting at NCSM and asked you, “What is something I can do right now to support the teachers at my site and my district, who are commonly experiencing math anxiety?” What is something that you would offer them in that brief moment you had with that coach?

Dr. Heidi Sabnani (33:40):

So it is hearing their story first. That’s the big one. And then, can you, in your coaching, provide opportunities to slow down? We all have these pacing guides in some form or another, that drive the things that are coming. Is there a way that you can set up meetings a month or more in advance of the content that those teachers are going to teach? Can we explore a month in advance, that content? And ways to teach it and understand it? There’s the ways to teach it, but there’s also like, “What is this math and how do kids experience this math?” What kind of experiences do we want to have ourselves as learners and then have as kids? If we can create cycles like that, that then don’t feel so rushed. It’s so hard when we’re like, “Oh, we have a planning meeting and we’re meeting with our coach!” And you’re teaching this lesson tomorrow. “Learn all this stuff about adding and subtracting on a number line. Go!” It’s so fast. And so if we had those opportunities to build in cycles, where we could slow down that process, it would make a huge difference in the lives of so many teachers. And it’s finding that time and the willingness. If you listen to teachers, they will work with you. If you validate what happens to them, and acknowledge that sometimes that still happens to us. I mean, I still have experiences like that. Sometimes I’ll walk into a classroom and I’m like, “Oh, I forgot how to do that!” You know, like, “I’ve not reached that far in my remaking of my own education!”

Bethany Lockhart Johnson (35:24):

Yehhhh, heh heh heh.

Dr. Heidi Sabnani (35:25):

<laugh>. And you think, “I don’t wanna look like an idiot. I’m the math consultant who’s here to duh duh duh.” All of those things still come up. Yeah. And stopping and saying like, “OK, everybody, this is what’s happening to me right now.” <laugh> The vulnerability you have, you have to think about that. Even if you don’t have experiences of math anxiety in your own life. Let’s say you always rocked out in math, and you’re now a math specialist and you love it. You think it’s the most spectacular thing. There’s some other element in your life where you face some anxiety. All of us do. So it’s about thinking about, “OK, this is where I experience anxiety. Can I find that in the teachers that I work with? And then, can my teachers find that in the students they work with?” You know, the teachers, as they begin to reflect on their own experiences, began noticing which students always went to the nurse during math time, always asked to go to the bathroom during math time, always couldn’t find a pencil, or whatever it happened to be. And they began to be more aware of their students’ behaviors as well, and could then say, “Hey, let’s sit and talk about how you feel in math class. Like, I’ve been noticing that when it’s time for math, like your stomach hurts. Can we talk about like why that might be?” Because those teachers with math are more attuned, often, to those students. And so it just … the time factor, I guess is, is the bottom line.

Bethany Lockhart Johnson (36:59):

I just wanna say, it’s so great to have you in the Lounge. Because I think you’re really bringing this perspective that we haven’t talked about, which … we are not expecting coaches to walk in and know it all. That’s actually the exact opposite. You are allowed to be vulnerable. We are not saying, “Come,” quote-unquote, “Fix this.” It’s like, “Hey, how can you facilitate and make space?” And I feel like you have given us just a taste of like how that might be possible. And you know, I think even if it’s just a chance for teachers to reflect on their own experience in math, even that would probably be kind of revolutionary for — and I don’t say that word lightly — for some PD spaces, especially if they have another peer in their team that is like quote-unquote, “a whiz,” or like, “Oh, I don’t feel like I can be vulnerable in my math anxiety because this teacher seems to know it all.” But you’re creating space where it’s like, “Hey, we all have strengths. We all have areas where we could support each other.” And I love that invitation for coaches. I love that invitation for teachers. And … yeah. I’m just, I’m so glad we get a snapshot of your research. Again, I know, I respect that this is not the whole thing!

Dan Meyer (38:22):

Can we find … is there a link to your dissertation in the show notes, for those of us who peruse dissertations? Can we add something here? Think about —

Dr. Heidi Sabnani (38:29):

Oh, I have no idea!

Dan Meyer (38:30):

Just think about it. Just think about it. But —

Dr. Heidi Sabnani (38:34):

It’s somewhere on ProQuest. It did get some. …

Dan Meyer (38:36):

Right on.

Bethany Lockhart Johnson (38:36):

Is that a thing, Dan? Could I go, like, Google your dissertation?

Dan Meyer (38:39):

You definitely could. Yeah, for sure. It’s around. Yeah, same way. Well, that’s awesome. And I think it’s so helpful for those who write those enormous unwieldy essays to, you know, distill it in different ways. I hope it’s been … we’ve enjoyed so much, hearing you carve up a huge project into pieces that were really helpful for us to think about here in the Lounge. Thank you so much for coming on and hanging out with us. Dr. Sabnani, it’s been a pleasure.

Dr. Heidi Sabnani (39:06):

Hey, I’m happy to do it any time. Always the biggest joy in the work that I do is little changes in a positive direction.

Dan Meyer (39:18):

Right on.

Dr. Heidi Sabnani (39:19):

That’s all that this is about. Right? Whether it’s kids, whether it’s teachers, whether it’s administration. The work that we all do is so valuable, and it is more and more difficult over time. And just giving ourselves a little bit of space to think about and acknowledge that, I think, is really important. So I appreciate you all making space as well. And thinking about this idea. Because <laugh> we’re math people! And we don’t have math anxiety! Right?

Bethany Lockhart Johnson (39:51):

<laugh>

Dan Meyer (39:51):

So people would assume

Dr. Heidi Sabnani (39:54):

<laugh>. Yeah.

Bethany Lockhart Johnson (39:54):

Thank you so much. You’re welcome back in the Lounge anytime. <laugh> Thanks so much for listening to our conversation with Dr. Heidi Sabnani, consultant and co-host of the show “Math for All.” I can’t get enough about talking about math anxiety!

Dan Meyer (40:13):

Especially from people who are working with teachers so closely.

Bethany Lockhart Johnson (40:18):

Yes, totally. I loved that lens of, “Hey, look at what happens if we actually focus on the teacher’s experience and help them kind of reclaim this comfort, this sense of identity, relationship with math that’s positive. How does that impact their teaching?” I loved talking about it, and I’m really interested in how that work continues to evolve. So thank you so much Dr. Sabnani, for your time. And you know, listeners, please keep in touch with us on our Facebook, in our discussion group, Math Teacher Lounge Community, or you can find us on Twitter at MTL show.

Dan Meyer (40:58):

If you haven’t already, please subscribe to Math Teacher Lounge, wherever you get podcasts. Also, if you like what you’re hearing, please rate us and leave us a review. It will help more listeners find the show. And it just makes me and Bethany feel good about ourselves, too. You can find more information on all of Amplify’s shows at our new podcast hub. Go to Amplify.com/hub.

Bethany Lockhart Johnson (41:20):

You know, Dan, I also always like to say, I find most of my podcasts through recommendations from other listeners, friends, folks. So if you like what you’re hearing, share it in your teacher lounge. Just, like, on break, turn it up and start vibing and having the conversation right there.

Dan Meyer (41:40):

Yep. Yep. I got a better idea. Take the link to this podcast and then copy it and find the longest — the thread in your inbox with the most people on it. One of those ones that’s like, someone accidentally cc’d like 500 people, everyone at your school. Press “reply.” This is crucial. Not “reply,” but “reply all.” Paste that link in. Press “send.” Watch what happens.

Bethany Lockhart Johnson (42:04):

Nothing but good —

Dan Meyer (42:04):

Good fortune will be yours.

Bethany Lockhart Johnson (42:06):

Nothing but good things can happen when you send this to 500 people in the next 10 minutes. Next time on Math Teacher Lounge, we’re gonna be joined by Dr. Marjorie Schaeffer of St. Mary’s College for a conversation about math anxiety, and specifically Dan, how parents and caregivers, how their disposition influences the way their kiddos feel about math.

Dr. Marjorie Schaeffer (42:29):

I think the most important thing we know from literature right now is that high-math-anxious parents, when they interact with their children, their children learn less math over the course of the school year.

Bethany Lockhart Johnson (42:40):

And get this, she’s gonna talk to us about an app that just might be something worth, you know, heading over to the app store for.

Dan Meyer (42:49):

I’ve used some apps, I have opinions, and I can’t wait. We just share recommendations on apps with Dr. Schaeffer.

Bethany Lockhart Johnson (42:56):

That’s next time on Math Teacher Lounge. Thanks so much for listening.

Stay connected!

Join our community and get new episodes every other Tuesday!

We’ll also share new and exciting free resources for your classroom every month.

What Dr. Heidi Sabnani says about math

“Much like the people in my research, many of us can tie the beginnings or the ‘evil villain origin story’ of our own math anxiety to an event or series of events.”

– Dr. Heidi Sabnani

Consultant and Co-host of Math 4 All

Meet the guest

Heidi Sabnani is always surprised that she works in math education. She developed math anxiety as a young student and spent much of her school life and early career avoiding math. After teaching English in the United States and Guatemala, and earning her MA in World Literature, she found herself in the uncomfortable position of working in math classrooms as a school improvement consultant. Once she realized that her life was going to involve math, Heidi decided to relearn math in the ways she wished she had learned the first time around. 18 years later she is still learning with and from the students and teachers she has the privilege to serve.

Heidi’s doctoral research at Northeastern University focused on interventions for math anxiety in elementary teachers. She currently works as a consultant, speaker, and author.

Portrait of a woman with long dark hair, wearing a light gray sweater, smiling in front of a blurred outdoor background, with graphic elements framing the photo—perfect for math teacher resources or a welcoming math teacher lounge.
A laptop displaying a Facebook group page for "Math Teacher Lounge Community," featuring profile photos, a group banner, and geometric shapes in the image background.

About Math Teacher Lounge

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

S5-02. Uncovering the causes of math anxiety

A blue graphic with text reading "Math Teacher Lounge" in multicolored letters and "Amplify." at the bottom, with abstract geometric shapes and lines as decoration.

We’re continuing our season theme of math anxiety, going beyond the basics, diving deeper into what causes it, and how we can help students move forward. In this episode, we talk to Dr. Erin Maloney from the University of Ottawa to better understand what’s actually happening in the brain when a person experiences math anxiety, and how we can take steps to shift student mindsets in a positive direction.
 
Listen now and don’t forget to grab your MTL study guide to track your learning and make the most of this episode!
 
Enjoy this episode and explore more from Math Teacher Lounge by visiting our main page. 

Download Transcript

Dr. Erin Maloney (00:00):

It’s the anxiety itself in many ways that can cause people to underperform.

Bethany Lockhart Johnson (00:06):

Welcome back to Math Teacher Lounge. I’m Bethany Lockhart Johnson.

Dan Meyer (00:10):

And I’m Dan Meyer.

Bethany Lockhart Johnson (00:11):

This is episode two of our new season, all about math anxiety. Who has it? What is it? What do we do about it?

Dan Meyer (00:20):

I’m learning so much, learning a ton.

Bethany Lockhart Johnson (00:22):

I loved our first conversation with Dr. Gerardo Ramirez, episode one, our first episode of the season. Really, our goal with that conversation was just to—we need to talk about the basics of it, for reals. Like, what is math anxiety?

Dan Meyer (00:36):

What is it? How do you measure it? How’s it defined? Super-helpful stuff.

Bethany Lockhart Johnson (00:40):

There’s not only one way that it’s measured. But it’s like, in active research right now, how are folks making sense of it? And I think Dr. Ramirez did such a fantastic job of sharing that with our listeners. And I learned a lot. You learned a lot, Dan?

Dan Meyer (00:56):

I did. And I’m also super-excited to take that knowledge that we have developed together and go and build on top of it and keep on climbing up up the mountain here, and learn more about math anxiety. Which is why we’re super-excited to have a guest on, Dr. Maloney, who is going to help us learn more—especially about what happens to the brain when it’s experiencing math anxiety. There’s some really complex stuff that happens there, including the role of parents and educators in creating and resolving math anxiety. And I think we’ll also learn that the whole situation is a bit of a hot mess. And we’ll try to make it a little bit less messy together.

Bethany Lockhart Johnson (01:34):

Little bit less messy. Dan, if we do nothing else, can we make it a little less messy?

Dan Meyer (01:41):

I sometimes prefer more mess, but in this case I prefer less. So.

Bethany Lockhart Johnson (01:45):

I have a two-year-old, so everything is a mess.

Dan Meyer (01:47):

Your life is mess. Yes. <laugh> Right. Well, I’m excited for you folks to hear this. It was a delightful conversation, so yeah, tune in. We are joined by Dr. Erin Maloney.

Bethany Lockhart Johnson (01:56):

Let’s go. We are joined by Dr. Erin Maloney, associate professor in the School of Psychology at the University of Ottawa, where she directs the Cognition and Emotion Laboratory, as well as serving as the Canada Research Chair in Academic Achievement and Well-being. Welcome to the show, Dr. Maloney. We’re so excited to have you in the Lounge.

Dr. Erin Maloney (02:20):

Yeah, thank you so much for having me. This is fantastic.

Bethany Lockhart Johnson (02:24):

So our last season was all about math and joy. And even when I read your title, I felt more joyful. Like, somebody is thinking about academic achievement, but with well-being in mind. I love it.

Dr. Erin Maloney (02:39):

Aw, thank you.

Dan Meyer (02:40):

Cognition and emotion!

Bethany Lockhart Johnson (02:42):

E-mo-tion!

Dr. Erin Maloney (02:43):

I don’t think they can be separate. I think that you have to think about them together, ’cause they’re so intricately connected.

Dan Meyer (02:49):

Love that. People try, but we love that. Yeah. That’s our vibe here, too.

Bethany Lockhart Johnson (02:52):

People try. That was a big problem with my math anxiety. They just wanted…there was no room for my emotion. They’re like, stop weeping at your desk—

Dan Meyer (03:00):

It’s rearranging neurons….

Bethany Lockhart Johnson (03:01):

—you’re distracting the other children. So would you mind telling us the story of how you even got interested in this topic? You know, when you tell people that you study math anxiety—or, actually, I don’t know how you describe it to them; I’m hopeful you bring in that well-being part—but how did you get here? What do you, what do you, what do you…yeah, tell us! We love it!

Dr. Erin Maloney (03:23):

<laugh> I feel like what you’re actually asking is, “How did you make life choices that got you to here?” <Laugh>

Bethany Lockhart Johnson (03:29):

Justify your life choices! Ready? Go!

Dr. Erin Maloney (03:32):

<laugh> Whoo. OK. So, all right. So we often, in psychology, we joke that instead of doing research, we do “me-search.” And that’s, that’s admittedly true in my case. I was a student who absolutely loved math up until about eighth grade, and then something changed, and all of a sudden I was terrified of math and I had absolutely no sense of self-efficacy in it. Despite trying really hard, I was extremely anxious about it. And so I initially, I set out…my parents were completely convinced that I was absolutely capable of doing mathematics and that I was getting in my own way. And when I went to university, I decided to prove them wrong. So I set out to prove that some people just can’t do math, and that’s the end of it. And, you know, 20 plus years later, my parents were right. And it turns out that many people—well, I would argue virtually everyone—can do math. And that if you are really anxious about it, it can get in the way. And interestingly, you know, in, in the years that we’ve been doing this research, there’s really good strategies that can be used—that hopefully we get a chance to chat about—that can really help reduce the amount of anxiety that students are experiencing. But I really did set out, like the bold teenager that I was, to prove my parents wrong. And that backfired <laugh>. So I know it’s kind of a strange answer, but it’s the truth. So I was really interested in understanding why it was some people just could not do math.

Dan Meyer (05:10):

That makes two for two so far, on guests for this season who did a version of me-search. And I feel like this is pretty common for a lot of researchers. Like, I wanna figure out…my experience as a teacher, the part where you, I think, diverge from a lot of people I knew in grad school, myself included, is that you actually let counter evidence change your perspective on things. Whereas I feel like a lot of us go in: “I know this is true and I’m gonna gather data!” and lo and behold, I’m true! But only now, with the research TM, you know, trademarked research, attached to it. So that’s, really exciting. Thanks for sharing that.

Dr. Erin Maloney (05:43):

No, you’re welcome.

Bethany Lockhart Johnson (05:44):

But don’t people say that the more personal you get, the more universal it is? Right? So if you go and get your doctorate about something that you think is just your experience or in your brain, then people are gonna be gonna be like, “Wait a second; you think that too?” “Wait, that math anxiety isn’t just you?” I don’t know, it sounds like a pretty great path to me. When you tell folks that you study math anxiety or when you’re speaking to folks about your research, do you find that there is a lot of folks who relate to what you’re studying? Or how does that conversation typically go?

Dr. Erin Maloney (06:20):

Yeah, so it is I think an extremely relatable topic. Not in the sense that everyone experiences anxiety about math, but everyone seems to know somebody who’s really anxious about math. Or everyone’s at least aware of the stereotype that like some people are math people and some people aren’t, and that’s just the way it is. So it feels like everyone has feelings about math and everyone seems very happy to share those feelings. So one thing I’ve always found really interesting, and actually, so I, I know you mentioned that you had Gerardo on recently. Gerardo and I have had really interesting conversations about how people are really quick to tell you that they hate math and they can’t do math, and they’re anxious about math. And I’ve yet to have anyone ever tell me they hate reading, they can’t read, they’re really anxious about reading as an adult. So for some reason math seems really different. And in that sense people always seem to be pretty excited to talk about their feelings towards math.

Dan Meyer (07:23):

Yeah, definitely. Been on an airplane or two myself and had those conversations. You know, people asking to be reseated because they found out that I do math for a living or whatever. Or just unburdening themselves, for sure. I’m super-curious: I think that the fact that you are doing the me-search is reason enough to want to dedicate your life to this study. But I am curious: If you were gonna justify to someone else, why is math anxiety important to study? What are its consequences, even outside of math education? What would you say to that?

Dr. Erin Maloney (07:57):

So I think it’s probably not hard to convince people that success in math is important, right? So we know that children who start elementary school behind in mathematics tend to stay behind in mathematics, unless they have any kind of very targeted intervention. We know that children who do worse in mathematics throughout K to 12 education in general get lower-paying jobs when they’re older. We also know that when they do worse than mathematics relative to their peers, there’s fewer jobs that are open to them, relative to if they excelled in math. Right? And so I think in many ways there are really clear consequences for students who are not comfortable with math and who avoid it. But I think one of the really, really interesting things about math anxiety, and maybe part of why I’ve fallen in love with it as a research topic is that it’s the anxiety itself in many ways that can cause people to underperform. So it’s not just the case that people who are bad at math are anxious about it. It’s actually that the anxiety itself can cause you to do worse in math. And that for me is really exciting, ’cause it means that if we can change your mindset, then we can really set you on a path with several more options available to you career-wise. And I think that is really empowering.

Dan Meyer (09:18):

Hmm. Yeah, definitely. And I’d love for you to explore — your laboratory is the cognition and emotion laboratory, which I love, how you’re creating those linkages between how you feel about a thing and what your opportunities or your aptitude for learning it. I’m really curious, can you say more about the, the relationship there? How does feeling anxiety impair your ability to do mathematics?

Dr. Erin Maloney (09:41):

Yeah, so feeling anxiety, typically what you tend to experience is these negative thoughts and ruminations. So you can imagine, you’re somebody who doesn’t really love math, you’re pretty anxious about it; you know, Bethany, maybe you’ve had this kind of experience before. I’m gonna call you out on it. I’ve had it many times, where you sit down to do a math test and all of a sudden you’re not focusing on the actual math test in front of you. You’re focusing on things like the consequences of not doing well on this. Right? Or “my parents are gonna be really disappointed if I don’t pass this test,” or “my teacher is gonna think negatively negative of me,” or sometimes we see things like, “I’m a girl, girls don’t do math.” These types of stereotypes. And what happens is that those thoughts actually tie up really important cognitive resources, like, really important memory resources, that you need to do the math test. And so if you are trying to essentially do two things at once, right? You’re trying to deal with all these negative thoughts that are distracting you and you’re trying to do the math test, then you’re not going to do as well as someone who’s sitting down and doesn’t have all of these distracting thoughts to deal with. And we actually know that from research that we have in our lab right now, where we just ask people like, “Hey, when you did this math test, what kind of stuff are you thinking about?” what we find is that the people who are really anxious about math report a whole bunch of thoughts that are unrelated really to the math test, per se. It’s more about the consequences of doing poorly. And as a result of those thoughts, they actually end up doing worse.

Dan Meyer (11:14):

This has been really helpful to figure out, how the emotional state of doing math affects the ability to do math. And it’s really interesting how you’re saying that the direction of the causality can go from the emotions to the cognition. And I’m just curious then, what is the source of the bad emotions about math? Where does that come from? Is it nature? Is it nurture? Some combination? How do you see it?

Dr. Erin Maloney (11:39):

Yeah, so one, that’s a fantastic question. And there’s been a whole bunch of people all around the world that have been spending a lot of time really trying to pinpoint that down. And I think the answer is that it’s, you know, it’s complex. So most of what it’s looking like right now is that it is a combination of both. So essentially what we find is that kids who start elementary school who are a little bit behind in math—and for the question of why they’re behind, that’s also complex; it could be genetics, it could be just environmental input, before the child ever entered formal schooling kind of thing—but in essence, what we find is that kids that start school behind in mathematics, those are the children who are most likely to develop anxiety about math by the time they’re finished first grade. OK? But we also know that once they’ve developed the anxiety about math, then that’s when they get these thoughts and ruminations that kind of tie up those memory resources, that then is gonna make it harder for them to succeed in math tests. So you get into this sort of vicious cycle, right? Where maybe you start behind a little bit and then you develop the anxiety, the anxiety causes you to underperform relative to what you should be able to, so now you’re even further behind, you get more anxious because you’re not doing as well as you’d like to…but again, kind of coming back to the “Why are the children starting behind in the first place?” Some of that seems to be the role that parents are playing in the household. So some kids come from a household where parents are playing a lot more math games with them, talking about mathematical concepts on a regular basis. Maybe they have older siblings who are, you know, practicing arithmetic and, and mathematical processing in front of them. And so those kids are exposed to more math before they ever even start formal schooling. Those kids seem to do better. And then we also know that the parents’ attitudes matter a lot too. So what we find is that when parents are high in math anxiety themselves, especially when they help their children a lot with their math homework in really early ages, we find that those kids end up being more anxious about math by the end of the school year, and they also end up doing worse in mathematics. So it really does seem to be, you know, kind of a complex set of factors that have something to do with both maybe genetic predisposition to success in math and genetic predisposition to anxiety, but then also the social attitudes and stereotypes about math to which you’re exposed at home that really seem to be coming together to create this anxiety in young children.

Bethany Lockhart Johnson (14:24):

I feel like everything you’re saying is <laugh>…it makes so much sense and yet it’s so often not talked about, right? Because it’s just more like, it gets boiled down to, “Oh, they’re just not a math person,” instead of all these other factors that are at play. And I completely remember the anxiety I felt, whether it was a test or not, walking into my math classroom when I was in ninth grade. And there’s no way I was set up and ready to learn. Right? <Laugh>. And something with—we mentioned Dr. Ramirez, he was talking about validating that anxiety. If teachers validate that like, “Oh, you know what, sometimes you might feel stumped, or this might feel overwhelming.” Even the power in creating space for that in the classroom, right? And acknowledging that it doesn’t—math doesn’t have to “come easy” to you in order for you to have access or make sense, is such a powerful concept. And I love the way that you are looking at all these different factors and saying, “Hey, it’s both simple and also a lot more complicated than we’re we’re making it.” Right?

Dr. Erin Maloney (15:36):

No, and I agree with that sentiment so much. Like, I think, though—one thing I will sort of caution is that I think when teachers are validating the anxiety, or when parents are validating the anxiety, I think there’s a very fine line that needs to be walked where we need to be able to say, you know, “It’s OK to struggle with something. That’s, that is completely OK.” And as we’re, you know, as we’re working towards something that’s really valuable, right? We can, we can work hard at something and by working hard at it, we’re going to get better. And I think that type of validating is really, really important and valuable. I think what we wanna be careful of is not to say things like, “Oh, it’s OK. I also never loved math.” And, you know, “Oh, I was never a math person either.” And so even though we might be bringing comfort to the the child, I think that that’s sending the wrong message. And so sometimes it’s really well intentioned and really not great—

Bethany Lockhart Johnson (16:37):

A hundred percent.

Dr. Erin Maloney (16:38):

—in terms of the messaging. So that’s the only…so just for people listening, the only sort of caution that I would give there is that I think there’s nuances to the validating of the feelings that are important.

Bethany Lockhart Johnson (16:50):

I am so glad you said that because as a kindergarten teacher, I vividly remember—and this is as early as, you know, the kids are five years old, right?—and I remember in a parent-teacher conference, a parent saying, “Oh, I wasn’t a math person either,” or, “Oh, no, ugh.” And they were so quick, like you said, they wouldn’t say that about reading, but they were so quick to talk about their lack of natural math aptitude, right? And, and it was really interesting because you know that even if they’re not saying that specific thing at home, those attitudes are absolutely carrying over at home. And they’re absolutely carrying over to, to how they interact with their kiddo around math and around what’s happening in the conversations about math. And I felt like a lot of times my work as a teacher was also to help support parents through their own math anxiety, and help give them some new language for how they can talk about math. And that math is more than just getting to an answer quickly. Like, let’s talk about, let’s go on math walks, let’s go on number walks, what numbers are around the home? Or oh, is that bigger than this? Do you have more of this? And even those little things, I, my hope was that it was starting to shift the conversation around what math was possible in the home, particularly when you saw that it was the parents who had palpable math anxiety. Right? And how much you know that that’s gonna impact what’s happening when you sit down to do homework together.

Dr. Erin Maloney (18:22):

Yeah. And I love that you have worked to encourage parents to do that. So we do similarly. Like even from a research perspective, where I will often give talks to parents and teachers and we talk about the idea of trying to mathematize everything, right? So just the idea that math is absolutely everywhere, and you know, whether it’s a matter of playing games in the car with your kids where you’re thinking of a number and it’s “My number is higher than 42, but lower than 80, and what number do you think I might be thinking of?” And, and gradually trying to get the child to that number. Or, you know, asking questions like, “What’s your favorite even number and why?” And just little things like that that, that I think can make math fun for kids, that help—I don’t even know how to explain it, but just that idea of bringing joy into it, so it’s not always this heavy subject that kids have to come to. So we definitely try to talk to parents about the idea of, like I said, mathematizing everything. And usually it’s well-received, ’cause often parents find it empowering, right? They’re like, “Oh, well, I could do that! But like, that’s not math!” And you’re like, “No, but it is.”

Dan Meyer (19:33):

Yep.

Dr. Erin Maloney (19:34):

Like, it is! And sometimes parents will say like, “Well, I don’t know how to do fractions.” And you’re like, “OK, but how do you bake?” “Well, I don’t know! I just, like, I know how to do those fractions!” And you’re like, “OK, but that’s the starting point. Let’s work with that.” Like, let’s, you know. And I think a lot of times, it’s reminding the parents that they’re actually far more capable than what they think they are, despite the fact that maybe they struggled with math when they were younger.

Dan Meyer (19:58):

Yeah. This is so interesting. And I feel like part of the challenge around conversations about anxiety and math and how to, how to resolve it and where it comes from, is that it, like, it presupposes a single definition of math. And so, you know, we’re talking about like how to be more mindful about math. But you know, like if kids were walking every day through a treacherous street, you know, the solution might not be become more mindful about that street. It’s just like, we gotta fix the treacherous nature of the street, really. You know, I love that we’re talking also about redefining what math is, making it more playful. That feels like a super-important component here. I’d love to know more about what you know about the role of gender in all of this. Are there differences in the way boys and girls experience math anxiety and how it relates to achievement in math?

Dr. Erin Maloney (20:48):

Yeah, so, there’s really, really interesting research on gender in math anxiety. So in general, we find that girls tend to experience more anxiety about math than boys do. So one hypothesis is that it has to do with just social stereotypes that, you know, girls are, are good at reading; boys are good at math, kind of thing. So there’s some evidence to suggest that that might be playing a role. There’s other evidence to suggest as well that maybe boys actually do experience as much anxiety, they just don’t really own up to it.

Dan Meyer (21:20):

Ooh, yikes.

Dr. Erin Maloney (21:21):

So thoughts are, you know, there’s a bit of an apprehension for males to admit experiencing the anxiety. But I think one of the things that is extremely interesting about it—at least to me—is that we don’t tend to see gender differences in young children. So in early elementary school, even though we’ll see that kids as young as six years old will experience anxiety about math, and that that anxiety is related to how well they do in math and how much they enjoy math, it doesn’t seem to vary as a function of gender at that young age. It doesn’t seem to be related to gender until kids are at about sixth, seventh grade that we really start to see this gender difference coming online. And so that, to me, suggests that it’s probably something more social than biological at play. It probably has something more to do with these stereotypes and stuff. But another really interesting—or at least, I’m biased, but to me—another really interesting line of research that comes into play—and some of this is stuff out of my own lab—so we know that boys in general tend to do better at spatial processing than girls. And we know that spatial processing is really important for math, right? So math and space are pretty connected. And by spatial processing, I mean things like being able to picture something rotating in your mind or, you know, envisioning how these puzzle pieces might fit together. And so we know that boys tend to do better at that type of processing. And the gender difference there seems to be related to gender differences in math anxiety. So there’s some speculation, too, that it might be that as the math starts to become more reliant on spatial processing, that that’s when we see this separation between boys and girls with respect to how much anxiety they feel about math. So a lot of this is to say, I think the answer to the gender question right now is what I think what we would officially call a bit of a hot mess, <laugh> where I think there’s probably more questions than answers. But I think that there’s definitely something going on. And it really seems to be coming on later in elementary school.

Dan Meyer (23:32):

That’s a refreshingly honest admission from a social scientist, that it’s a hot mess and not perfectly clear, <laugh> so I appreciate that. It’s interesting what you said about the spatial reasoning. In our work creating curriculum at Amplify, I find we lean a lot on trying to tie abstract math towards spatial topics. Like, can you estimate a quantity before you calculate it? Can you identify a pattern and where it breaks before you prove it abstractly? And, I dunno, it’s just interesting to me. I’m just thinking out loud about how I feel like math becomes more abstract rather than more spatial. The farther you venture into secondary math…I’m wondering if I misunderstand what you’re meaning by spatial, and the progression of math from K–12.

Dr. Erin Maloney (24:20):

Yeah, so I think you can still have—you can have math be abstract, but still really relying on spatial processing. Right? And I think part of that is maybe a bit of us having different definitions of when we say “spatial.” So in cognitive science, when we talk about spatial representations or spatial reasoning, it’s really like anything you’re picturing in your mind, any time you’re really picturing these things in your mind and manipulating those images at all. So if you imagine, even like at a simple level, but it’s gonna hold when you’re going more complex as well. So doing like equivalence problems, for example, where you have to balance the equations.

Dan Meyer (24:58):

Yeah.

Dr. Erin Maloney (24:59):

Even just being able to envision things kind of moving around that equal sign and bringing one piece of the equation from this side to the other is actually an extremely spatial kind of reasoning. Right? Or when you’re expanding, that’s actually extremely extremely spatial, despite the fact that it might not feel like it initially. Obviously anything in geometry is going to be very spatial. So I think, in that sense, we would argue that the spatial processing is still playing a pretty important role. But it’s maybe a different type of spatial processing than what we’re seeing at a very early level in elementary school. That said, you can completely disagree with me too. ‘Cause I could also just be wrong, and that’s fair. My kids tell me I’m wrong all the time. So I’m used to <laugh> being told that I’m wrong.

Dan Meyer (25:47):

Well, we’re a bit more deferential on this here show, with our guests. So I would not do that. But it makes sense, what you’re saying about how these are things that you manipulate in your mind, whether they are Xs and Ys or numbers and fractions. These are all things that we manipulate. That ties into differences in this spacial reasoning category, it sounds like, which then contributes to math anxiety. And it does start to feel like there’s a lot going on here, is what it feels like.

Bethany Lockhart Johnson (26:14):

You mean hot mess?

Dan Meyer (26:16):

I meant hot mess.

Dr. Erin Maloney (26:17):

Yeah. <laugh>, I think that’s the technical term, right? I’m pretty sure that’s the technical term for it.

Dan Meyer (26:21):

I didn’t know the citation for it. So I didn’t say it. But I knew who in literature named that. But yeah.

Dr. Erin Maloney (26:28):

I’ll write something at some point.

Dan Meyer (26:30):

We’ll cite Maloney, 2022. Yeah. Yes.

Bethany Lockhart Johnson (26:34):

So I will say that one of my dreams in thinking about this season and last season, but particularly this season, since we’re really getting to talk to some researchers who get to think about this, and have really interesting conversations about it all the time…one of my dreams is that we’re bringing—’cause we do have some folks who are researchers that are listening, right? But then we also have teachers and folks who are in the classroom every day, and parents and caregivers listening. And so I think one of the beautiful things about the way that I hear you talking about it is you’re thinking about the research, but it’s so applicable. Right? And I wonder if there’s anything else you can say around it. I wanna reduce that divide, that gap, between the research that’s happening and then what’s happening with the kiddos and in the classroom and at home. And I don’t know if it’s like a magic wand thing where like <laugh> if there were changes you’d wanna see at a societal level, to try to combat math anxiety, but you see where I’m going. You know, it’s like <laugh>….

Dr. Erin Maloney (27:39):

  1. So I’m gonna answer maybe in two ways. So I think the first thing that I’m hearing from you is that idea of diminishing this divide, right? And so one thing I try to keep in mind, as someone who’s a researcher and working in the lab, I will often be called in to talk to teachers and give professional development sessions. And they often want the sage-on-the-stage academic, that stands up there and tells you the answers to things. And one of the first things that I’m gonna admit when I get up there is, “I am not on the front lines.” So what I do in the lab, for me to tell you that that’s gonna work in a classroom of 30 kids who may or may not have eaten dinner that day, and may or may not have snow pants, and may or not…like it’s–

Bethany Lockhart Johnson (28:23):

Mmm, yes.

Dr. Erin Maloney (28:24):

You know, I think we also need to be a little bit reasonable. So I try really hard in my own program of research to make sure that I’m always talking to teachers and to principals and to curriculum designers to make sure that the ideas that I have make sense. In fact, one of the most recent book chapters that I wrote, I wrote in collaboration with a really good friend of mine who’s a principal, an elementary school principal, and a former math consultant. And we wrote it together, to really say like, “Hey, here’s how we can help each other inform how research can inform practice and how practice can also inform research.” ‘Cause he can come to me and say, “I’m doing this. I can’t find anything in the literature to support this, but I’m sure it works!” And we can design something in the lab to test whether or not it seems like it’s gonna work.

Bethany Lockhart Johnson (29:11):

That’s huge. Yeah.

Dr. Erin Maloney (29:12):

Empirically. And so I think that open communication is massive. One thing that we’re doing in my own lab to try to keep that open communication available. So to anyone listening who’s ever tried to get access to a journal article, they’re held behind paywalls, right? So one, the way it works, my understanding of this anyway, is that the journal owns the formatted version of the paper. So what we do is we put up audio recordings of all of the research papers that we ever publish. So I’m pretty sure I own the words as the author, and the journal owns the prettified version that you can buy. So we audio-record all of our papers, so that if teachers or parents ever want to hear the actual science that’s going into some of these decisions, they have access to at least the stuff that we do in our lab. And we also put up an infographic for every paper, just highlighting kind of the main questions and main findings. And we do that because I think that the only way for the information to actually be useful is if it gets into the hands of the stakeholders that actually need that information.

Bethany Lockhart Johnson (30:21):

And is accessible. That’s huge. That’s huge!

Dr. Erin Maloney (30:24):

Yeah. Yeah. So that’s one way that we try to do it. And like I said, the other thing, we try to always be working with principals and with teachers. I joke that the way that I remedied this in my own life…so my husband’s a teacher; it’s like, I just married one! It’s fine! <laugh> I can grill him on a regular basis, and be like, “I wanna try this experiment. Do you think it’s gonna work?” And he can say, like, “It’s not going to. Here’s why.”

Dan Meyer (30:47):

That’s awesome. Marrying a participant—you know, a research participant—is unethical, of course. Would not clear IRB. But turning your partner into a participant? Like, what are you gonna do? That’s great.

Dr. Erin Maloney (30:57):

Yeah, no, that’s fair game.

Dan Meyer (30:58):

Yep.

Dr. Erin Maloney (30:59):

Yeah. So that’s—I think we we compensate each other <laugh>. So, no…so I do joke a little bit about that. He was a teacher simply ’cause he wanted to be one. Not ’cause I needed him to be one. But, I think that communication part is, is really key. That’s one thing. Then the other part of the question or the other sort of piece of the question that I was hearing is that idea of, how do we fix math anxiety. Right? Like, what’s the great, “I’m glad that there’s a whole bunch of time and effort and energy going into trying to understand this, but what, where are we at?” And I think with that, it’s really, really promising. So there’s been a lot of research coming out looking at how best to help children or even adults manage their own anxiety about math. And there’s a few really interesting strategies that seem to be quite effective. So one, and I don’t know if—um, it feels weird calling him Dr. Ramirez, just ’cause I know him well!—but I don’t know if Dr. Ramirez would’ve talked about this when he chatted with you, but he has some really interesting work on expressive writing. Did he chat about that at all?

Bethany Lockhart Johnson (32:07):

He didn’t, but I’ve read some of his work about it and I think it’s so fascinating.

Dr. Erin Maloney (32:11):

Yeah! So, OK, well, I’ll tell you about his work on it.

Bethany Lockhart Johnson (32:13):

Yes, please. Please.

Dr. Erin Maloney (32:14):

Because it’s super-useful. So when we talked about that idea of how anxiety causes these thoughts and ruminations, and they tie up the memory resources that you need, what Gerardo has found is that when you get students to write about their anxiety for about 10 minutes before they do a test, what ends up happening is they end up doing better on the test, relative to if they would not have written about their anxiety at all. And this is particularly true for students who are really high in anxiety. OK? And the idea is that all of those thoughts that they were going to have about the test or the consequences of the test, et cetera, you just kind of get ’em…it’s like a mind dump where you get ’em all onto the page at first before you even go to do the test. And now when you go to do the test, you’re not having to do two things at once. You’re no longer dealing with these thoughts ’cause you got ’em all out on the paper beforehand. And so Gerardo has some really interesting work showing that that works for math anxiety. And then it also works for just testing anxiety in general. And so that’s a strategy that I love. I also—part of what I really love about it is it’s so low-cost, right? You need a paper and a pencil and it’s great. So those are always my favorite strategies, the ones that don’t really cost us anything. So that’s one way of dealing with like the cognitive part of the anxiety. The other thing you can do is try to deal with the anxiety part of the anxiety. So for that, what we find is that the typical strategies that you’re gonna see for anxiety tend to work for math anxiety. So things like focused breathing. Right? Making sure you’re doing deep inhales and exhales. That really diaphragmatic breathing seems to be quite helpful. We know that what we call progressive desensitization is really key. That’s the idea of doing things, you know, starting with the questions that you know how to handle. And then gradually working up to the more difficult questions. So you’re sort of gradually exposing yourself to the more complex stuff. And how that can play out on an actual test at school is, you sit down, and instead of just starting with question number one, you actually read the whole test, see which questions you feel like you know the best, start with those questions, and that helps build your confidence so that you’re better able to tackle the questions that are maybe a little bit outside of where you’re currently at. So that seems to be really helpful. The other part that I will say, too, that’s extremely helpful: So we know that anxiety really ties up those memory resources. And so the more you can make the math automatic, the more immune it’s going to be to anxiety in the moment. And so I know that this part can be a little bit controversial, because we don’t wanna necessarily demotivate children, and kill the enthusiasm for math that we’re trying to cultivate…but really, you know, really committing your arithmetic facts to memory can be extremely helpful. So really learning those times tables, really learning your addition and subtraction facts. ‘Cause what happens is, then when you’re in a situation where you need that information, even if you’re anxious and you’re working with fewer cognitive resources than what you would normally have, you actually don’t need that many cognitive resources to be able to pull something from memory that you’ve memorized. So it really helps to kind of protect you against some of the negative impacts of the anxiety while you’re doing that test.

Bethany Lockhart Johnson (35:37):

And you’re not using all your cognitive resources to figure out seven times eight, because you can really focus on what you’re trying to do with that. Oh, that’s fascinating. Yeah. Yeah.

Dr. Erin Maloney (35:47):

Yes. No, a hundred percent right. And so I know that’s one that, like I said, I know it can be somewhat controversial because it’s…you know, we’ve talked about—or we haven’t talked about in this conversation, but we often talk about—the idea of drilling and killing. Right? So you drill the facts, you kill the, the enthusiasm. But I think that there are ways that we can drill arithmetic facts, or help make them automatic, but still fun, right? It doesn’t have to always be in a high-pressure kind of way.

Bethany Lockhart Johnson (36:16):

Totally. And we’ve talked about fluency, and I’m sure we’ll talk about it more in the Lounge. And that is interesting, that link between anxiety when the fluency isn’t there, that—or, of course we hear about anxiety with timed tests, but the idea of that IS something you can do to reduce it, because you have those facts just at your ready. Right?

Dr. Erin Maloney (36:37):

Yeah. So I actually, again, I’m gonna be a little bit controversial. So I don’t hate timed tests in the way that a lot of people do. But I love time to practice. So I think once we’ve got to a point where children have a fairly decent understanding of skills, of a skill, once they’ve got a fairly decent grasp on it, then I love the idea of the timed practice. So it can be still in a low-pressure situation, where in many ways it doesn’t matter if you get the answer to the question correct. But we’re practicing doing it in a situation in which you might be feeling a little bit of pressure, but it’s not real pressure, if that makes sense. And I think that can be really, really useful for students. And again, it can be done in a fun way, right? It doesn’t have to be these super-intense ways. It can be fun. But I think that in life there are situations in which the time that it takes you to complete a problem matter. And I think that we have to make sure that we don’t get too far away from that.

Dan Meyer (37:40):

Yeah. It feels like we should do an entire other episode thinking about ways to develop that fluency and automaticity that don’t contribute to anxiety, or create further disparities between people who are high math anxiety and low math anxiety. Not a small question, I’m sure. And I appreciate you alluding to all of that. You know, this whole thing, as you said, is quite the hot mess. And I feel like you, Dr. Maloney, have helped us make this a little less messy, in our heads, and hopefully the listeners’ heads. I really appreciate that. I just love…you’ve mentioned lots of resources that you have. You’ve alluded to them: audiobook-style readings of your research, which I need ’cause I just finished, you know, Harry Potter, the seventh book, so I need a new thing to listen to like that. Also infographics. Can you tell our listeners where they can find this work of yours, and if there are any other kinds of resources that you wanna plug for our listeners here?

Dr. Erin Maloney (38:32):

Yeah, for sure. So all of our resources can be found on my lab website. So the address for that is www.ErinMaloney.ca. So there we have, like you said, the infographics and the audio articles and all that stuff. And then we also have a link to a new kids’ book out, actually, that a colleague of mine and I have published recently, that really walks through some of these strategies on combating math anxiety. The book is written as a children’s book, so it’s Peyton & Charlie Challenge Math. But it secretly is a book that would also work for adults. So if you are a parent that’s a little bit anxious about math, or a teacher that maybe is a little bit anxious, and you wanna see how some of these strategies can play out, in that book—we linked to it on the website, but it is available for purchase on Amazon. And the one thing I will say about the book, ’cause this is something that we were pretty proud of, so Sheri-Lynn Skwarchuk, who is a school psychologist, and I wrote the book. And it’s available for purchase at our cost price, so we don’t actually make any money on the book. It was literally just a way of getting some of the science out to people who might be able to benefit from it.

Bethany Lockhart Johnson (39:45):

Reducing that divide!

Dr. Erin Maloney (39:46):

Yeah, well that’s what we’re trying to do! Right? So I think in the U.S., I think it’s like $6 on Amazon. And then in terms of other resources, we’re in the process right now of creating some informational videos and and stuff like that that hopefully will be useful for parents and for teachers, just in terms of understanding a little bit more about the anxiety and understanding how to deal with the anxiety in the classroom more, at home or wherever it might be coming up.

Dan Meyer (40:15):

Well, thanks so much. I really appreciate—we appreciate!—you coming on, and hearing about how you’re trying to bridge so many different barriers from research to practice, and school to home. It’s just really inspiring. And we’d love to have you back on sometime. So thank you so much for joining us.

Bethany Lockhart Johnson (40:29):

I feel like we’ve just hung out! Don’t you, Dan?

Dan Meyer (40:31):

Are we rolling here? Oh my gosh, we’re rolling. I just thought we’re just hanging. Yeah,

Bethany Lockhart Johnson (40:34):

I thought we were just hanging!

Dr. Erin Maloney (40:36):

I know, I do, I really appreciate that it has a very kind of chill vibe to it.

Dan Meyer (40:41):

Chill vibe. Like a lounge.

Bethany Lockhart Johnson (40:42):

It’s the lounge!

Dan Meyer (40:43):

Thank you. You get us; you get us. <laugh>

Bethany Lockhart Johnson (40:45):

Dan Meyer. I was shopping for children’s books, and there was this book, and it was talking about being at home with Mom. And it’s going through all the things that the child did that day with Mom. It’s like, “We played outside, we ran through the sprinklers, we even did some homework.” And it shows them sitting at the table with the homework, that’s clearly math homework, in front of them. And the mom is like, “Harrumph!” Like a very perplexed, anxious face. And there’s all these question marks above her. And it’s just like,

Dan Meyer (41:24):

“There should not be numbers on that paper!”

Bethany Lockhart Johnson (41:25):

Exactly. And the child is like, “Ohhhh,” you know. And I mean, I have to give credit to the illustrator, because they really did capture the clear message of this interaction, which was sitting down to do math homework or think about math together is a source of angst. Right? According to this author and according to too many people. And so I think what’s really important is that we recognize those images when we see them out there and speak back to them, and say, “Hey, wait a second.” Yeah, it can feel like that, and it doesn’t have to. And what’s going on that that’s just the assumed way that it’s gonna feel, to sit down and math together. You know?

Dan Meyer (42:11):

Yeah. It feels like we all have a lot of work to do on the whole math-anxiety front. Dr. Maloney helped us see how parents play a part, educators play a part, society and how they create people plays its own part in how we all define math as a thing where we evaluate student thought or where students play it with their thoughts, has its own huge part as well. So yeah, it was a really fantastic conversation with Dr. Maloney. I hope you folks will check out the show notes, where you will find links to Dr. Maloney’s website. A lot of her work, which as you heard, is very geared towards practitioners and parents and even directly at kids, especially the new children’s book she co-authored, Peyton & Charlie Challenge Math.

Bethany Lockhart Johnson (42:55):

Next time we’re gonna dive even more into the nitty gritty of combating math anxiety. To do that, we’re actually gonna be joined—I am so excited about this—by Dr. Rosemarie Truglio from Sesame Workshop.

Rosemarie Truglio (43:09):

Our core audience are two- to four-year-olds, and they love math. And what’s not to love? Children don’t come with this math anxiety. Math anxiety is learned.

Dan Meyer (43:23):

So excited.

Dr. Erin Maloney (43:24):

Sesame Street was a huge part of my childhood and my toddler doesn’t know it yet, but Sesame Street is coming. It’s coming. Like, we’re we’re gonna introduce Sesame Street to him. We just haven’t yet.

Dan Meyer (43:37):

Sesame Street straight raised me.

Bethany Lockhart Johnson (43:38):

Right?

Dan Meyer (43:39):

Yeah. Don’t tell my parents. But that’s, yeah, that’s true. I’m excited, too. It’s gonna be a blast.

Bethany Lockhart Johnson (43:45):

I’m really excited. I think that the more we dive into this topic—which, again, we’re gonna look at math anxiety from a lot of different angles—and I’m excited to talk to Dr. Truglio about how we can take this research and these conversations that are happening about math and how it can actually impact what’s happening in homes. ‘Cause we wanna help create positive relationships with mathematics, with kids in math. I’m so excited. And I hope you folks keep listening. We love having you here in the Lounge. And if you haven’t already, please subscribe to Math Teacher Lounge, wherever you get podcasts. And if you like what you’re hearing, please leave us a rating and a review. It helps more listeners to find the show, and let other folks know about this show. Recommendations are great. Thanks so much for listening.

Stay connected!

Join our community and get new episodes every other Tuesday!

We’ll also share new and exciting free resources for your classroom every month.

What Dr. Erin Maloney says about math

“If we can change their mindset, then we can set students on a path to more opportunities and success.”

–Dr. Erin Maloney

Associate Professor in the School of Psychology, Director of the Cognition and Emotion Laboratory, and the Canada Research Chair (Tier II) in Academic Achievement and Well-Being, all at the University of Ottawa

Meet the guest

Erin Maloney is an Associate Professor and Canada Research Chair at the University of Ottawa. Her research sits at the intersection of Cognitive Psychology, Developmental Psychology, and Education and focuses on cognitive and emotional factors that relate to academic achievement. She is a world-renowned expert on the study of math anxiety, conducting research in the lab, in homes, and in classrooms with children, parents, and their teachers. She is passionate about both knowledge mobilization and equity, diversity, and inclusion within education and science.

A woman with straight, shoulder-length light brown hair smiles at the camera, framed by a circular graphic with geometric accents on a white background—perfect for a math teacher lounge or sharing math teacher resources.
A laptop displaying a Facebook group page for "Math Teacher Lounge Community," featuring profile photos, a group banner, and geometric shapes in the image background.

About Math Teacher Lounge

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

Welcome, Idaho K-8 Science Reviewers!

Thank you for taking the time to review Amplify Science. On this site, you’ll find all the resources you need to learn more about this engaging and robust NGSS program. Below, you will also have the opportunity experience our program firsthand with a demo account to access the digital platform.

Amplify Science for grades K–8 has been rated all-green by EdReports. Read the review on EdReports.

Collage of educational settings: top left, two young girls using laptop in library; bottom right, middle school science project display on tablet; bottom left, two boys with tablet discussing.

Overview

With Amplify Science, students don’t just passively learn about science concepts. Instead, they take on the roles of scientists and engineers to actively investigate and make sense of real-world phenomena. They do this through a blend of cohesive and compelling storylines, hands-on investigations, collaborative discussions, literacy-rich activities, and interactive digital tools.

Listen to these educators share how the program empowers students to think, read, write, and argue like real scientists and engineers every day.

Grades K–5

Grades 6–8

Amplify Science Grades K-5 Tour for Idaho Educators

Amplify Science Grades 6-8 Tour for Idaho Evaluators

Program structure

Our cyclical lesson design ensures students receive multiple exposures to concepts through a variety of modalities. As they progress through the lessons within a unit, students build and deepen their understanding, increasing their ability to develop and refine complex explanations of the unit’s phenomenon. It’s this proven program structure and lesson design that enables Amplify Science to teach less, but achieve more.

Rather than asking teachers to wade through unnecessary content, we designed our program to address 100 percent of the NGSS and Idaho Standards in fewer days than other programs:

  • In just 120 lessons at grades 6–8
  • In just 66 lessons at grades K–2
  • In just 88 lessons at grades 3–5
A four-step process diagram with icons: spark a real-world problem, explore sources, explain and elaborate, and evaluate claims, all linking to engage with cohesive storylines.

Unit types

Each unit delivers three-dimensional learning experiences and engages students in gathering evidence from a rich collection of sources, while also emphasizing a particular science and engineering practice.

A laptop and two screens display educational content about ecosystems, featuring illustrated plants, animals, and experiments with colorful liquids.
Two young students sit at a classroom table, one holding up a clear cup of water while the other observes closely. Papers and pencils are spread out on the table.

Investigation units

Investigation units focus on the process of strategically developing investigations and gathering data to answer questions. Students are first asked to consider questions about what happens in the natural world and why, and are then involved in designing and conducting investigations that produce data to help answer those questions.

Two children play an educational board game at a table with worksheets, plastic cubes, and small containers of colored items.

Modeling units

Modeling units provide extra support to students engaging in the practice of modeling. Students use physical models, investigate with computer models, and create their own diagrams to help them visualize what might be happening on the nanoscale.

Two children sitting at a table with laptops are talking to each other in a classroom setting, with books and baskets in the background.

Engineering Design units

Engineering design units provide opportunities for students to solve complex problems by applying science principles to the design of functional solutions, and iteratively testing those solutions to determine how well they meet preset criteria.

Several open textbooks and notebooks are spread out on a table as a person writes in one of the notebooks with a pencil.

Argumentation units

Argumentation units are introduced at grade 3 and provide students with regular opportunities to explore and discuss available evidence, time and support to consider how evidence may be leveraged in support of claims, and independence that increases as they mount written arguments in support of their claims.

A person points to a photo in a textbook about coral reefs, with a laptop and notebook open on the desk.

Launch units

Launch units are the first units taught in each year of Amplify Science. The goal of the Launch unit is to introduce students to norms, routines, and practices that will be built on throughout the year, including argumentation, active reading, and using the program’s technology. For example, rather than taking the time to explain the process of active reading in every unit in a given year, it is explained thoroughly in the Launch unit, thereby preparing students to read actively in all subsequent units.

Three students at a classroom table examine a sealed plastic bag with food inside, while one looks surprised; another student stands in the background.

Core units

Core units establish the context of the unit by introducing students to a real-world problem. As students move through lessons in a Core unit, they figure out the unit’s anchoring phenomenon, gain an understanding of the unit’s disciplinary core ideas and science and engineering practices, and make linkages across topics through the crosscutting concepts. Each Core unit culminates with a Science Seminar and final writing activity.

Four students sit at a table using laptops, focused on their screens in a classroom setting with one student in the background.

Engineering Internship units

Engineering Internship units invite students to design solutions for real-world problems as interns for a fictional company called Futura. Students figure out how to help those in need, from tsunami victims in Sri Lanka to premature babies, through the application of engineering practices. In the process, they apply and deepen their learning from Core units.

Idaho Science Standards Alignment

Amplify Science was built from the ground up to fully embrace the instructional shifts outlined in A Framework for K-12 Science Education (2012), the same framework on which Idaho Science Content Standards were founded. Most grade levels’ respective set of Amplify Science units therefore fully address the necessary Idaho Science Content Standards (see correlation). Grade 1 teachers should plan to also use the companion mini-lesson provided below to achieve full standards coverage for their grade.

Grade 1 Companion

Standard: 1-LS-1.3 Use classification supported by evidence to differentiate between living and non-living things.

Recommended placement: Following Lesson 1.1 of the Animal and Plant Defenses unit.

Resources: Classroom Slides

Science (K-2) Evaluation Form

Science (3-5) Evaluation Form

Science (Middle School Physical Science) Evaluation Form

Science (Middle School Life Science) Evaluation Form

Science Evaluation Form Middle School Earth and Space Science

A boy sits on the floor reading a book to a girl beside him in a classroom setting.
A butterfly flies above potted plants next to a watering can and a caterpillar on a milkweed plant under sunlight in a grassy field.

Needs of Plants and Animals

Domains: Life Science, Earth and Space Science, Engineering Design

Unit type: Investigation

Student role: Scientists

Phenomenon: There are no monarch caterpillars in the Mariposa Grove community garden since vegetables were planted.  

A hand pulls a white string attached to a pegboard with rubber bands and a white ball hanging from the center.

Pushes and Pulls

Domains: Physical Science, Engineering Design

Unit type: Engineering design

Student role: Pinball engineers

Phenomenon: Pinball machines allow people to control the direction and strength of forces on a ball.  

Silhouette of a playground structure and toy train against a blue sky with clouds and two large yellow suns.

Sunlight and Weather

Domains: Earth and Space Science, Life Science, Engineering Design

Unit type: Modeling

Student role: Weather scientists

Phenomenon: Students at Carver Elementary School are too cold during morning recess, while students at Woodland Elementary School are too hot during afternoon recess.  

Illustration of sea turtles swimming among underwater plants, with a shark and another turtle visible in the background.

Animal and Plant Defenses

Domain: Life Science

Unit type: Modeling

Student role: Marine scientists

Phenomenon: Spruce the Sea Turtle lives in an aquarium and will soon be released back into the ocean, where she will survive despite ocean predators.  

A hand holds a flashlight and shines it through a transparent sheet with an image, projecting the image onto a wall in a dark room.

Light and Sound

Domains: Physical Science, Engineering Design

Unit type: Engineering design

Student role: Light and sound engineers

Phenomenon: A puppet show company uses light and sound to depict realistic scenes in puppet shows.  

A split illustration shows a cityscape at night with a crescent moon and stars on the left, and a cityscape during the day with the sun, clouds, and an airplane on the right.

Spinning Earth

Domain: Earth and Space Science

Unit type: Investigation

Student role: Sky scientists

Phenomenon: The sky looks different to Sai and his grandma when they talk on the phone.  

A grey elephant uses its trunk to pick apples from a tree, with a few apples still hanging on the branches and a small sprout growing nearby.

Plant and Animal Relationships

Domains: Life Science, Engineering Design

Unit type: Investigation

Student role: Plant scientists

Phenomenon: No new chalta trees are growing in the fictional Bengal Tiger Reserve in India.  

A hand picks up a red bean from a table scattered with more red beans, spilled white liquid, a cup, and a wooden stick.

Properties of Materials

Domains: Physical Science, Engineering Design

Unit type: Engineering design

Student role: Glue engineers

Phenomenon: Different glue recipes result in glues that have different properties.  

A building labeled "Recreation Center" stands near a cliff edge with a blue flag, surrounded by trees and overlooking a beach and water.

Changing Landforms

Domain: Earth and Space Science

Unit type: Modeling

Student role: Geologists

Phenomenon: The cliff that Oceanside Recreation Center is situated on appears to be receding over time.  

Illustration of a high-speed train traveling on an elevated track with a green landscape and blue sky in the background.

Balancing Forces

Domain: Physical Science

Unit type: Modeling

Student role: Engineers

Phenomenon: The town of Faraday is getting a new train that floats above its tracks.  

A group of wolves stands in the foreground, with a bear, elk, and several birds visible in a grassy, hilly landscape with scattered trees.

Inheritance and Traits

strong>Domain: Life Science

Unit type: Investigation

Student role: Wildlife biologists

Phenomenon: An adopted wolf in Graystone National Park (“Wolf 44”) has some traits that appear similar to one wolf pack in the park and other traits that appear to be similar to a different wolf pack. 

A small bird stands on soil, looking closely at a yellow snail, with green blades of grass on the left and a blue sky background.

Environments and Survival

Domains: Life Science, Engineering Design

Unit type: Engineering design

Student role: Biomimicry engineers

Phenomenon: Over the last 10 years, a population of grove snails has changed: The number of grove snails with yellow shells has decreased, while the number of snails with banded shells has increased.  

An orangutan hangs from a vine in a dense green forest with the sun visible in the background.

Weather and Climate

Domains: Earth and Space Science, Engineering Design

Unit type: Argumentation

Student role: Meteorologists

Phenomenon: Three different islands, each a contender for becoming an Orangutan reserve, experience different weather patterns.  

Illustration of city buildings at night with illuminated windows, a full moon, visible stars, and a silhouetted figure in one window.

Energy Conversions

Domains: Physical Science, Earth and Space Science, Engineering Design

Unit type: Engineering design

Student role: System engineers

Phenomenon: The fictional town of Ergstown experiences frequent blackouts.  

A streetlamp illuminates a cricket, which is watched by a gecko. Yellow arrows indicate the flow of light from the lamp to the cricket and then to the gecko’s eye.

Vision and Light

Domain: Physical Science, Life Science, Engineering Design

Unit type: Investigation

Student role: Conservation biologists

Phenomenon: The population of Tokay geckos in a rain forest in the Philippines has decreased since the installation of new highway lights.  

Two dolphins swimming underwater, facing each other against a blue background.

Waves, Energy, and Information

Domains: Physical Science, Life Science, Earth and Space Science, Engineering Design

Unit type: Modeling

Student role: Marine scientists

Phenomenon: Mother dolphins in the fictional Blue Bay National Park seem to be communicating with their calves when they are separated at a distance underwater.

Earth orbits the Sun in space, with dotted blue lines showing the orbital path and a white arrow indicating Earth's rotation direction.

Patterns of Earth and Sky

Domains: Physical Science, Earth and Space Science

Unit type: Investigation

Student role: Astronomers

Phenomenon: An ancient artifact depicts what we see in the sky at different times — the sun during the daytime and different stars during the nighttime — but it is missing a piece.  

Illustration of layered red and brown rocky cliffs beside a flowing blue river under a partly cloudy sky.

Earth’s Features

Domain: Earth and Space Science

Unit type: Argumentation

Student role: Geologists

Phenomenon: A mysterious fossil is discovered in a canyon within the fictional Desert Rocks National Park.  

Red blood cells scattered across a dynamic, abstract red and white background.

Modeling Matter

Domain: Physical Science

Unit type: Modeling

Student role: Food scientists

Phenomenon: Chromatography is a process for separating mixtures. Some solids dissolve in a salad dressing while others do not. Oil and vinegar appear to separate when mixed in a salad dressing.  

Illustration of wind carrying airborne particles over a coastal hill, with arrows indicating the movement up and over the hill toward the sea.

The Earth System

Domains: Earth and Space Science, Physical Science, Engineering Design

Unit type: Engineering Design

Student role: Water resource engineers

Phenomenon: East Ferris, a city on one side of the fictional Ferris Island, is experiencing a water shortage, while West Ferris is not. 

Illustration of a cheetah standing near plants, looking at a sloth hanging from a tree branch, with various foliage and mushrooms in the scene.

Ecosystem Restoration

Domains:Physical Science, Life Science, Earth and Space Science, Engineering Design

Unit type: Argumentation

Student role: Ecologists

Phenomenon: The jaguars, sloths, and cecropia trees in a reforested section of a Costa Rican rain forest are not growing and thriving.  

A rover stands on a rocky, reddish terrain with visible tire tracks leading to it; distant hills are seen under a hazy sky.

Geology on Mars

Domain: Earth and Space Science

Unit type: Launch

Student role: Planetary geologists

Phenomenon: Analyzing data about landforms on Mars can provide evidence that Mars may have once been habitable.  

Illustration of a city skyline at night with a large full moon, a few stars in the sky, and a bridge on the left side.

Earth, Moon, and Sun

Domains: Earth and Space Science, Physical Science

Unit type: Core

Student role: Astronomers

Phenomenon: An astrophotographer can only take pictures of specific features on the Moon at certain times.  

Illustration of a person wearing a red hat and winter coat with fur hood, eyes closed and arms crossed, surrounded by large orange circles.

Thermal Energy

Domain: Physical Science

Unit type: Core

Student role: Thermal scientists

Phenomenon: One of two proposed heating systems for Riverdale School will best heat the school.  

Abstract digital artwork featuring a large yellow sun with blue and orange rays over a colorful landscape with green hills and red horizon.

Ocean, Atmosphere, and Climate

Domains: Earth and Space Science, Physical Science

Unit type: Core

Student role: Climatologists

Phenomenon: During El Niño years, the air temperature in Christchurch, New Zealand is cooler than usual.  

Illustration of clouds above a small town with fields and mountains, showing wind patterns and atmospheric movement in the sky.

Weather Patterns

Domains: Earth and Space Science, Physical Science

Unit type: Core

Student role: Forensic meteorologists

Phenomenon: In recent years, rainstorms in Galetown have been unusually severe.  

An underwater scene with a large whale, several turtles, jellyfish, and fish swimming surrounded by shafts of light.

Populations and Resources

Domains: Life Science, Earth and Space Science

Unit type: Core

Student role: Biologists

Phenomenon: The size of the moon jelly population in Glacier Sea has increased.  

Low-poly illustration of a forest with trees, mushrooms, a rabbit, and a fox catching another animal under a blue sky with mountains and the sun in the background.

Matter and Energy in Ecosystems

Domains: Life Science, Earth and Space Science, Physical Science

Unit type: Core

Student role: Ecologists

Phenomenon: The biodome ecosystem has collapsed.

Illustration of six spiders with different colored bodies and legs arranged in a chart-like formation on a dark background.

Traits and Reproduction

Domain: Life Science

Unit type: Core

Student role: Biomedical students

Phenomenon: Darwin’s bark spider offspring have different silk flexibility traits, even though they have the same parents.  

Abstract digital artwork featuring vibrant colors, geometric shapes, a yellow human silhouette, and various patterns layered together.

Microbiome

Domain: Life Science

Unit type: Launch

Student role: Microbiological researchers

Phenomenon: The presence of 100 trillion microorganisms living on and in the human body may keep the body healthy.  

Illustration of a person receiving an oral examination with a tongue depressor and light, featuring abstract colorful shapes and an eye chart in the background.

Metabolism

Domain: Life Science

Unit type: Core

Student role: Medical researchers

Phenomenon: Elisa, a young patient, feels tired all the time. 

A spacecraft approaches a large modular space station with blue solar panels, orbiting in outer space against a black background.

Force and Motion

Domain: Physical Science

Unit type: Core

Student role: Physicists

Phenomenon: The asteroid sample-collecting pod failed to dock at the space station as planned.

Green geometric background with a hexagonal badge displaying a parachute, ruler, letter A, stacked layers, bandage, and a folded paper icon.

Force and Motion Engineering Internship

Domains: Engineering Design, Physical Science

Unit type: Engineering internship

Student role: Mechanical engineering interns

Phenomenon: Designing emergency supply delivery pods with different structures can maintain the integrity of the supply pods and their contents.  

Two prehistoric aquatic reptiles with long snouts swim near the shore of a tropical landscape with rocks, plants, and an island in the distance.

Plate Motion

Domain: Earth and Space Science

Unit type: Core

Student role: Geologists

Phenomenon: Mesosaurus fossils have been found on continents separated by thousands of kilometers of ocean, even though the Mesosaurus species once lived all together.  

Illustration of a volcanic landscape with mountains, trees, an ocean, and a cross-section showing tectonic plates beneath the surface.

Rock Transformations

Domain: Earth and Space Science

Unit type: Core

Student role: Geologists

Phenomenon: Rock samples from the Great Plains and from the Rocky Mountains — regions hundreds of miles apart — look very different, but have surprisingly similar mineral compositions.  

Four low-poly dinosaurs, three green and one yellow, are walking in a row on grass with rocks and red spots on their bodies under a blue sky.

Natural Selection

Domains: Life Science, Earth and Space Science

Unit type: Core

Student role: Biologists

Phenomenon: The newt population in Oregon State Park has become more poisonous over time.  

Two large tortoises are near a river; one is on the riverbank reaching for leaves on a tree, while the other is on the opposite bank among grass and trees.

Evolutionary History

Domains: Life Science, Earth and Space Science

Unit type: Core

Student role: Paleontologists

Phenomenon: A mystery fossil at the Natural History Museum has similarities with both wolves and whales.    

Two people stand atop rocky terrain littered with electronic devices; inset illustrations show a boot, a person with electronics in a vest, and a radio.

Harnessing Human Energy

Domains: Physical Science, Earth and Space Science, Engineering Design

Unit type: Launch

Student role: Energy scientists

Phenomenon: Rescue workers can use their own human kinetic energy to power the electrical devices they use during rescue missions.  

An orange popsicle melting in four stages from solid to almost fully liquid, set against a plain background.

Phase Change

Domains: Physical Science, Earth and Space Science

Unit type: Core

Student role: Chemists

Phenomenon: A methane lake on Titan no longer appears in images taken by a space probe two years apart.  

Green graphic with icons showing a swaddled baby, a thermometer, layers of blankets, a medical symbol, and a heat source within a hexagonal frame.

Phase Change Engineering Internship

Domains: Engineering Design, Physical Science

Unit type: Engineering internship

Student role: Chemical engineering interns

Phenomenon: Designing portable baby incubators with different combinations of phase change materials can keep babies at a healthy temperature.  

Digital illustration showing red and blue molecule-like circles on a blue background, with a boundary dividing two differently shaded sides.

Chemical Reactions

Domains: Physical Science, Life Science, Earth and Space Science

Unit type: Core

Student role: Forensic chemists

Phenomenon: A mysterious brown substance has been detected in the tap water of Westfield.  

Illustration of people riding a roller coaster on a blue day, with arms raised as the car descends a tall loop against a sky with clouds.

Magnetic Fields

Domain: Physical Science

Unit type: Core

Student role: Physicists

Phenomenon: During a test launch, a spacecraft traveled much faster than expected.  

Illustration of the Earth with arrows representing radiation or energy entering the atmosphere from space over the Asia-Pacific region.

Light Waves

Domains: Physical Science, Life Science, Earth and Space Science

Unit type: Core

Student role: Spectroscopists

Phenomenon: The rate of skin cancer is higher in Australia than in other parts of the world.  

An illustrated polar bear stands on a small piece of floating ice in the ocean, with icebergs and an orange sun in the background.

Earth’s Changing Climate

Domains: Earth and Space Science, Life Science

Unit type: Core

Student role: Climatologists

Phenomenon: The ice on Earth’s surface is melting.

Hexagonal badge with icons including a wrench, building, sun, molecules, construction materials, screwdriver, paint bucket, and a letter T, all on a geometric blue background.

Earth’s Changing Climate Engineering Internship

Domains: Earth and Space Science, Engineering Design

Unit type: Engineering internship

Student role: Civil engineers

Phenomenon: Designing rooftops with different modifications can reduce a city’s impact on climate change.  

Access program

In addition to the grade-level sample boxes that we provided, we’ve also created custom demo accounts just for Idaho reviewers.

To access the digital portion of the program, click the link below, select “Log In with Amplify,” and then refer to the Start here digital access flyer for your personalized login credentials.

A spiral-bound teacher’s guide and a laptop displaying a digital curriculum, both titled “Balancing Forces: Investigating Floating Trains” from Amplify Science.

Resources

S2-01: How teachers are really feeling this school year

science connections S02-01 Episode Cover

In this special solo episode, Eric Cross starts the season by sharing his personal journey as an educator, and how the difficulties of the last few years have shaped his mindset going into the upcoming school year. Eric also addresses teacher burnout and what inspires him to continue working as a classroom educator. Explore more from Science Connections by visiting our main page.

Download Transcript

Eric Cross (00:02):

Welcome to Science Connection, Season Two. As we begin the next season, I thought it would be a good time to share my story. As the host, I get to ask people questions about their journey, but I’ve actually never shared much about my own. So I’ve taken some of my most frequently asked questions to guests and asked them to myself. I hope you enjoy.

Eric Cross (00:23):

So the origin story question, I think really gets to the heart of why a person does what they do, because so much of who we are, especially as adults and teachers, is a result of experiences that we had in our lives when we were kids or in school with other teachers. And my life’s no different. I was born to a 19-year-old single mom. And when you’re a young boy growing up, especially with a young single mom, you often look to older men in different positions as kinda like a surrogate or like a mentor. And you may not even tell them that they are that to you. You kind of keep it close to the chest. And that’s what I did growing up. One of the ones that really stood out to me is, in seventh grade, I went to a middle school here in San Diego that was called Keiller Middle School. And we were a magnet program that specialized in science. And they had this program that brought professors from the local universities and they did this high-level enrichment. They would even take us to the college campus and we would work in these labs as seventh graders. It was amazing. And one of the people there, his name was Dr. Tress, and he was a professor. And Dr. Tress took a liking to me. I reminded him of his son. We were doing this great embryology experiment. We would take purple sea urchins. And we would inject them with potassium chloride, which would cause them to spawn. And we would fertilize these eggs, and then we would run different experiments using them. And these were things that I had never done before. I had always loved science. I’d always loved tinkering and building things. But this was my introduction, really, to high-level biology and to higher levels of education. I didn’t—I didn’t have many figures like that in my life growing up. I mean, I’m a first-generation, you know, high school, college graduate. Many of these are first generations for me. So, this was a new experience. And so Dr. Tress really unlocked a core memory and was one of my first mentors, as far as academics are concerned. And during my seventh-grade year, I entered the science fair and won first place, which was a huge deal. They took us out to Balboa Park. We got to miss school for a week. We got to go to all the museums for free. It was the best. And I think at that point in time, it really solidified something in me that would lay dormant until later on in my adult life. High school, I was really fortunate: the high school I went to was Morse High School, not too far from Keiller, and they had an aeronautics program. So I was able to enroll in that aeronautics program. And I learned how to fly before I learned how to drive. And I had this great instructor named Mr. Klon, who was this like 6′ 4″, 250-pound hippie guy. And he—we would get in the plane and we would have these like philosophical conversations. And through that, especially looking back now as a teacher, I realized that he was making connections with me and investing into who I was as a person. And it was something that I so needed at the time. Because at home I didn’t have that. You know, my safe place, a lot of time, was school. It was my only structure. It was where I knew I would get encouragement. It was where I knew things were reliable and consistent. For a lot of people, and a lot of kids, their home life isn’t like that. School was that for me. So Mr. Klon, I mean, he was this authentic, you know, consistent person in my life and made a huge difference at this time.

Eric Cross (03:23):

After I graduated high school, I left home just to get away from a difficult environment. And I was homeless for a little while and that was a huge moment in my life. And around that time, an aunt found out and she said, “You’re gonna come stay with us.” And this was like this three-year process of me living with them in this, like, functional family that ate dinner together. And they went to the zoo. They had family passes. And they took family photos at Christmastime. This was all weird stuff. Like, I didn’t know—I didn’t know who did these things. It was—I felt like a puppy that like lived in a home that was like…it was a home that was just always kind of like violent or like just really toxic. And then it gets put into a healthy home and doesn’t know how to act. That’s how it felt. And this was around like 19, 20 years old. During that time I started putting myself through school. So I went to community college and I was broke as a joke. And so I couldn’t afford the textbooks while I was going. So I would just go to the bookstore, the Barnes and Noble bookstore in Mira Mesa here in San Diego. And I would stay there all night using the textbooks or using the books there for doing my work. And then I would just put the books back on the shelves. Because let’s just face it. Textbooks are expensive, brother wasn’t trying to pay for all that. So I really had to earn that time. So I was working full-time. I was going to school. And, eventually I got a job in working in finance with a really great friend who mentored me during my younger twenties. And I didn’t wanna be broke and finance made sense.

Eric Cross (04:44):

And so I did that for a little while, until I got to a point in my career where I was watching an episode of The Office, the UK version, the Ricky Gervais version, and a character said, “I’d rather be at the bottom of a ladder I want to climb than halfway up one I don’t.” And I realized, working in finance, that I was halfway up a ladder I never wanted to climb. So I wanted to move into something that, if I was gonna spend eight hours a day or 10 hours a day doing something, I wanted it to be something that actually filled me up inside. And this is how I got into teaching. So I had always been working with young people, specifically 12- to 18-year-olds, like a non-profit or volunteering, mentoring, after-school programs. And I’ve always managed to rationalize my job in the finance world as meaningful because it let me do the real work that fulfilled me. So the real work was working with the kids. But my day job, my, like, Clark Kent-type job, was just, you know, doing the finance thing of like helping people that have a lot of money make more money. Which at the end of my life, I look back and I said, “That’s not what I want my legacy to be.”

Eric Cross (05:43):

And when the finance crash happened in 2008, that’s when I think I started looking back on it and said, “If I’m gonna spend all my time doing something and spending 40 or 60 or 80 hours of my day of my week doing things, I want it to matter. And that’s when I decided to pivot and leave that field and go and get my master’s in education and get my teaching credential, teaching science specifically. Now, one of the questions we get asked a lot and I’ve been asked is, is “How has teaching changed as a result of the pandemic?” And I feel like this could be several podcasts in and of itself, and it’s also regional, because everybody’s experienced it differently, And we’re still experiencing it! That’s the crazy thing! It’s like, it’s not over, we’re still in it. And some places have innovated and pivoted and some places just did what they needed to and they are trying to go back to business as usual. But if anything has happened, the pandemic revealed how much more, how much schools are more than places of just content learning. For many students it’s where they have their only community, their structure, their emotional wellness. They get regular meals, access to tech, and adults that care about them that are outside of their family. The schools are so much more than that. I mean, my school, they were a place, like a hub, that was giving out food every single day during the pandemic to families that would kind of drive by. So for a lot of schools, they became places like that. It also…the pandemic revealed the intensity of the educator workload. I mean, being able to manage your family, having the capacity, to be a content expert, you need to be a counselor, a trauma-care specialist, a coach, an encourager, a tech expert.

Eric Cross (07:23):

I mean, the term mental health is now more common and starting to become prioritized. Now we’re focusing so much more on the whole child. And we know from research that how a child feels about themselves and their safety and their security impacts their ability to learn. So the more comfortable and safe a student feels in the classroom with teachers and with friends, the better they’re gonna be able to learn. And ultimately the higher they’re gonna be able to achieve. You can’t, you can’t have one without the other. In addition, I think less teachers, see themselves teaching into retirement. I think that’s a big thing. I read these articles about teacher shortages and I think the reality is it’s actually teacher exodus. It’s teachers leaving. And that’s been really difficult. I’ve had many friends who’ve left for the private sector. And I get it, especially if you’re one that has—if you’re the first in your family to graduate from college, with a STEM degree, to them taking a teaching position can mean walking away from a salary in the private sector that pays two or three times more.

Eric Cross (08:23):

And in many places around the country, in order to be a teacher and maintain a median standard of living, you need either dual income, multiple jobs, or a multi-generational household. For a lot of people it just doesn’t make sense. And even right now, today, as I’m recording this, I’m reading articles and getting text messages…and I received a text message three days ago from a teacher that said, “My goal this year is to just not resign.” And that’s where a lot of teachers are feeling right now: isolated, challenged, and under-appreciated. And Plato said, “What’s honored in a country is cultivated there.” And I’ve been looking at how teachers are honored and one of the ways is just, like, practical. Like, look, I gotta pay my bills. You know, love the Starbucks gift card. Love the CPK, the gift card. The cards, all those other things…but brother got a car payment. And at the end of the day, if we care about our kids, we need to take care of the people that take care of them. And there’s very practical ways for that to happen. And everybody in different sectors around the country is dealing with that in different ways. I think the pandemic also revealed, now the public can see how our kids don’t receive the same quality of education. And once you’re aware of that, you can’t put the genie back in the bottle. So once you see on Zoom or once you see in a meeting, or once you see on the news, that students in different areas, whether it’s the rural South or a suburb in Seattle, are not getting equitable educations, well, ultimately that impacts all of us. Now. It’s not all doom and gloom. Good things have come from, as a result of, the pandemic. Many schools have made progress towards narrowing the technology gap, ’cause they had to! ‘Cause you can’t do Zoom and you can’t do Google Meet and all that stuff with a packet! You gotta get those Chromebooks. And Chromebooks and the internet and access to tech is not a new thing. It’s been out for a long time. The technology gap is not a new thing. It’s been written about extensively, but all of a sudden districts and schools started figuring out how to close that gap. And that’s awesome. We didn’t want a pandemic to be the catalyst for that to happen. But at the end of the day, we started closing it. A lot of schools did an amazing job and districts did an amazing job with deploying the hardware, sending out buses with wifi, putting lessons and videos on USB sticks and dropping them off to parents who live in sparsely populated areas. I mean, there were so many stories that I’ve heard about schools and teachers just doing amazing things, going above and beyond what they needed to on behalf of kids.

Eric Cross (10:51):

I think in addition to that, there’s also been students and families are now having more options to personalize their learning. So we have this in-person model, we have this Zoom or kind of online model, and this hybrid model, and it hasn’t all been perfect, you know, at all. But some families have come out and said, you know what actually doing this hybrid model is better for my son or better for my daughter or better for my student, because they’re able to get the socialization, but also able to focus better at home than they are in a classroom of 36. And that’s legitimate. You know, we talk about personalized learning, but it’s not exactly personalized when everybody has to wake up at the same time, same schedule, go to the same, the same classroom of, you know, up to 40 kids, and do the same lesson. I mean, we have to be honest about our limitations with personalizing learning for students. And when we can provide more options and we give teachers the infrastructure to be able to use different platforms, then we’re able to personalize learning a lot more.

Eric Cross (11:51):

There’s also been an emphasis on the whole-child wellness. I think the spotlight on mental well-being heavily impacts their academic success, but counseling teams, social workers, school psychologists—I think more than ever we’ve realized the value that they bring to the schools. And unfortunately many of them have caseloads of 200 students or more. And they’re seeing students most often that are in crisis. And especially after the pandemic, we’re realizing how valuable they are and how much we need to, one, honor them and give them the support that they need, and also recruit more. Because as we start recognizing how our brains are impacted by the things that we’re dealing with, we’re also gonna see how that’s gonna impact our students’ performance. And we need the specialists in those positions to be able to support our kids. I think, last, I think more innovation and lesson design and how we assess students. And so we’ve been talking about in education just kind of critiquing: how do we assess what a student knows? How do we make what a student actually does at school relevant to real life? I mean, so many times I have students who’ve graduated that are like, “I feel like the things I learned in school, like, they’re not always transferable to real life. It helped me on a test, but like, I don’t know how to do my taxes.” Or “I memorized these facts, but I don’t really apply it in my job.” Or “The facts that I learned I could have actually learned on the fly in my job. I wish I would’ve actually focused on the skills or had an earlier opportunity to get some experience because when I’m trying to apply for a job, <laugh> they ask for experience and I’m 22 years old.”

Eric Cross (13:28):

And so all these things kind of come up. And so I think there’s been some great conversations around “how do we rethink what education looks like?” And there’s different pockets around the country that have been doing that, I think, really well. And I think it’s important for us as teachers to stay connected to those people who are kind of pushing the boundaries and thinking outside the box, because when we get siloed, it’s really easy to get calcified and cynical. I get it. And it impacts me too. But when we’re around those people who have those fresh ideas, who are really pushing the limits, it inspires us. And that’s something I think during the pandemic that I’m grateful that I was intentional about, is staying connected with other teachers. There’s a big question; Why do you continue your work in the classroom and what keeps you motivated? And I was thinking really hard about this question, because depending on <laugh>, depending on my day, I feel like my answer’s gonna be a little bit different. So I’ve had to step back from this 30-foot, thousand-foot perspective and answer the question. And my answer is this: I think because I still feel like I can be effective to influence positive change in my classroom with my students and within the larger education system as a whole. I think if I lost either of those two, then I’d rethink my profession. Look, I’m an innovator. I like asking “why” questions and things like that. And I’m not always the most popular person when you do that. But education is like just a huge ship. It doesn’t pivot on a dime. And asking why questions and pushing for change on behalf of kids isn’t easy, fun, or glamorous, but it’s it’s necessary. And I feel like over the last few years, I’ve been able to see these kind of glimmers of a trajectory change, at least where I am locally. And that’s something that has given me a lot of hope. I’m very fortunate to be connected to educators and people in leadership that are really about making a difference beyond just kind of the cliched platitudes. They actually wanna make systemic change, in a way that’s positive. And that’s been really helpful for me. So as long as I feel like I’m useful in the classroom for students, and as long as I feel like I’m bringing, I think change, on behalf of teachers and students and administrators and our community in a way that moves the ball down the field, that’s what keeps me motivated. And what I like to ask teachers when I close in the podcast is. “What teacher or teachers have inspired you?”

Eric Cross (15:54):

And for me, I think it would start off with the teachers who cared about me when they didn’t have to, in elementary school all the way through college. And there are numerous teachers. My science-teacher community of practice. For the last two years, I’ve been fortunate to spend every month, once a month, meeting with just a core group of science teachers that really care about some of the things that we are impacted by in the classroom. And when the pandemic was going on, we still met regularly. And because we’re not all teaching in the same place, we kind of were able to bring different perspectives to the table. I think the current classroom teachers and former classroom teachers that I have in my community really inspire me. The ones who are dedicated to opening doors for students. The graduate students that I teach at the University of San Diego, they keep me fresh. I love leaving teaching my 12- and 13-year-olds, and then driving down the street to the university and teaching 20somethings who are all about to be in the classroom. They come with new ideas, they’re asking questions, and I get to actually share things that I just did three hours ago. I think that’s one thing that continues to inspire me. And it’s one of the reasons why I love teaching at the University of San Diego. Their energy and enthusiasm is super-refreshing. And then all the teachers that are willing to take risks and fail forward, to try things different, to ask hard questions, to push the envelope. Teaching’s hard. It’s easy to point out the problems in education as a whole. But after we do that, it’s important to figure out the practical ways we can make the changes that we wanna see.

Eric Cross (17:23):

Now, that’s to say that if you have the capacity for it and the resources and the support. Some of us, we don’t. Some of us, we are on an island, and that’s a really, really difficult place to be, especially when you have family and kids to take care of. And you have to make decisions on what’s best for you and for your own students. We do this work on behalf of kids. And it’s one of the most honorable services a person can provide to our community. But one area for growth that I think we have kind of as a society, is teachers spend their lives, daily, on behalf of the future of our country. For other people’s children. They fall asleep at night worrying about other people’s kids. They spend their own money to create opportunities and experiences that students might not otherwise have. And it’s important that we collectively, and I know I’m preaching the choir when I say this, but this is one of my messages, is that we honor them in turn. We create programs that allow them to be able to afford housing. We create opportunities for them to be able to generate wealth. We create ways for them to be able to find rest, to get connection. And then internally we create systems where they can just work on themselves, fill themselves, get trained, and be whole, so they can bring their best self to the kids in front of them. That’s one of my personal platforms. It’s something that I think is vital. We gotta take care of the people that take care of our kids. So there’s a saying that says, “It’s better to light a candle than to curse the darkness.” And it takes one person to blow out a candle, but one candle can light thousands of other candles, without diminishing its own light. And that’s what we have to be. So my encouragement, teachers, as you’re going into this new school year, and you’re thinking about what’s going on, you’re thinking about all the challenges—and they’re there, and they’re real, and trust me, it’s not like some Pollyanna, like, “Hey, just be positive!” mindset and everything’s gonna be great—no, no, no, no, no. It’s not that. But my encouragement…if I can tell you one thing that’s helped me more than anything else, it’s being connected to other people who are candle-lighters. Because there are a lot of places that are gonna blow out the candle. It could be the staff lounge. It could be Twitter, it could be Reddit. It could be Instagram. It could be TikTok. It could be, you know, anybody. Someone next door to you. There’s a lot of folks that are gonna be willing to point out and say, “Look, this is what’s wrong.” But find the helpers. Find the people that are candle-lighters. And stay connected with them. Find that community. I can tell you for me, that’s been the thing that’s been able to help me sojourn through all of this—I couldn’t do this by myself—is being able to share my story with other teachers and knowing that I’m doing this work alongside of other folks who are doing this work, and I can share my story with them and listen to their stories, is something that’s been able to fill my cup. And so I hope I can do the same for you and for other people listening to other people I come in contact with.

Eric Cross (20:08):

Teachers, I wish you a great school year. Hang in there. Be those candle-lighters and bring your best self on behalf of the students. Thanks so much for listening. Now, we wanna hear more about you. If you have any stories you wanna share about the classroom, please email stem@amplify.com. That’s STEM at amplifycom.wpengine.com. And make sure to click subscribe wherever you listen to podcasts. And join our Facebook group, Science Connections: The Community. Until next time.

Stay connected!

Join our community and get new episodes every other Tuesday!

We’ll also share new and exciting free resources for your classroom every month.

What Eric Cross says about science

“We do this work on behalf of kids, and it’s one of the most honorable services a person can provide to our community.”

– Eric Cross

K–8 Science teacher, Host of Science Connections: The Podcast

Meet the guest

Eric Cross is a 7th grade science/technology teacher, grade level lead, and digital learning innovator for Albert Einstein Academies, International Baccalaureate schools. He is also an adjunct professor of learning and technology at the University of San Diego and a Google certified innovator. Eric earned a bachelor’s degree from Azusa Pacific University and a Master of Education from the University of San Diego. He had 17 years of experience working with at-risk youth and underserved populations before becoming a middle school teacher. By building relationships with students, colleagues, and the community, he has become an empowered leader in and out of the classroom. Through meaningful learning experiences centered around student agency, STEM has become accessible to students through highly engaging lesson design, thoughtful integration of digital tools, and culturally relevant pedagogy.

Smiling person with short hair and a beard, wearing a collared shirt and sweater, against a dark background. Small star icon on the top left of the circular frame.

About Science Connections

Welcome to Science Connections! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher. Listen here!

A collage shows adults interacting with children in learning environments, including reading, discussing, and a child celebrating in a classroom. A simple city skyline is at the bottom.

Hello, NYC!

This site contains supporting resources designed for New York City implementation of Amplify programs.

Amplify creates high-quality programs that make it easier for you to teach inspiring, impactful lessons that celebrate and develop the brilliance of your students.

Get advice and answers from the Amplify team.

Contact us

Monday through Friday, 7 a.m.–7 p.m. ET

1-888-960-0380

Contact Amplify Support

Support Channels for NYC

Supporting you in any scenario

It goes without saying that the last few school years have been unlike any others. As we all continue to navigate the world of remote and hybrid learning, Amplify is here to help you plan for whatever scenario, or combination of scenarios, your district is facing.

Remote learning
Online: 
Students learn at home and have access to some level of technology
Offline: Students learn at home and do not have access to technology other than potentially smartphones

Hybrid learning
In-person/online at home: Students spend some time in school and some at home and have access to technology
In-person/offline at home: Students spend some time in school and some at home and do not have access to technology

Scenario planning

Amplify Science features resources to help you and your staff effectively manage whatever scenarios you encounter, including any combination of the previously mentioned scenarios.

In addition to Classroom Slides for grades 6–8 slides and K–5 read-aloud functionality, we offer a remote learning solution called Amplify Science@Home to make extended remote learning and hybrid learning easier.

With Amplify Science@Home, teachers have access to educator-led videos of Amplify Science lessons taught remotely as well as a curated selection of key activities from the Amplify Science curriculum that work in no-tech, low-tech, and high-tech scenarios.

Amplify Science@Home

Resources to help you facilitate learning in both remote and hybrid settings

@Home Videos and other video resources

Available for each lesson of Amplify Science, in English and Spanish.

Amplify Science teachers now have access to a new remote learning solution called Amplify Science@Home. These resources make remote learning and hybrid learning easier for both teachers and students. 

Side-by-side display of a Grade 2 unit orientation video screenshot and two pages of a PDF unit guide, both titled "Plant and Animal Relationships.

Featuring select activities from Amplify Science, modified for at-home use.

Unit Orientation Videos and Unit Guides introduce the role students take on in the unit and the phenomenon they work to figure out, and highlight key science concepts and activities. A companion PDF called the Unit Guide provides an at-a-glance view of the activities that take place during each chapter.

Left: Book cover titled “Spikes, Spines, and Shells” with images of animals. Right: Open book pages about lava lizards, showing a lizard photo and text about their defense and predators.

Student eBooks with Audio and Video Read-Alouds make remote learning literacy integration easier with audio support and video read-alouds. The embedded speaker feature in our eBooks allows students to listen to one page at a time, while our read-aloud videos featuring real classroom teachers provide a modeled reading with comprehension or fluency support.

@Home Units

@Home Units are strategically modified versions of Amplify Science units, highlighting key activities from the program. The @Home Units and their accompanying materials allow students to engage with science at home and take significantly less instructional time than the complete Amplify Science program.

Screenshot showing a teacher overview for a unit on Plant and Animal Relationships, listing chapters and lesson counts, with format options of PDF or Google Docs.

Teacher Overviews provide general information for each unit and include suggestions for pacing, tips for adjusting instructional time, instructional routines that should be planned for, and recommendations for chapter- and lesson-level modifications.

Preview of @Home Slides showing lesson content and Student Sheets with a worksheet. Both are available in PDF or Google formats.

Available in both PDF or Google slide formats, @Home Slides and Student Sheets replace the Classroom Slides and Student Investigation Notebooks used with our traditional units. Embedded within each slide deck are links to other resources and prompts to complete relevant activity sheets, which are available as a separate @Home Sheets PDF.

Four pages of a student packet are shown, including text, instructions, fill-in-the-blank sections, and worksheet areas for writing responses.

@Home Student Packets are printable packets that deliver parallel content as @Home Slides and Student Sheets, but in a way that supports students with little or no access to technology. With a single PDF for each lesson, students have access to all instruction and relevant activity sheets in one document.

Support for families

An adult and a child sit on a sofa. The adult works on a laptop, while the child writes in a notebook. Two pairs of shoes are on the floor, and a dog is visible on the left side.

Family Overviews include information to send home to families about each unit’s goals, materials, and approach. Families can also access the Amplify Science Family Resources website, which includes a short video introduction to the NGSS standards, a high-level overview of the program’s components, summaries of all the units, and ideas for student investigations to conduct at home.

A digital document titled "Family Overviews" with a section called "Plant and Animal Relationships," showing lesson chapters and illustrations of animals and plants.

Frequently asked questions

Do I need to buy the new @Home Units if I’m already using Amplify Science?
You do not! We are providing the new materials free of charge as PDF and PPT documents to Amplify Science users.

Are the @Home Units full Amplify Science units?
No. These are condensed versions of Amplify Science units for those who are dedicating less time for science, and are meant to take about half of the amount of time as the standard units.

Are resources available in Spanish?
Yes! The student-facing resources associated with the @Home Units, as well as the @Home Videos, are offered in Spanish.

Do you offer training for teachers?
Yes, we offer on-demand professional development resources specific to remote and hybrid learning.

Do you have videos of all of the hands-on activities?
Yes! Videos all of the hands-on activities are available.

How do students who use the @Home Packets submit their work?
The answer to this question depends on district resources and systems, but options could include:

  • Photographing their writing and submitting via Google Classroom or other platforms.
  • Submitting an audio or video recording of an oral response, using a platform like Flipgrid.
  • Discussing the prompt with a parent or family member (no written submission from the student).

What is the approach to student discourse and how does it change in a remote setting?
The @Home Units include suggestions for how to adapt student discourse activities for the range of remote learning contexts.

Do these resources support both synchronous and asynchronous learning?
Yes. For guidance on how to teach the program synchronously via video, refer to the @Home Videos which feature real Amplify Science teachers teaching lessons on video. For guidance on how to teach the program asynchronously, you can assign the @Home Videos to your students, or watch them yourself and use them as a model for creating your own videos to assign to students.

Winter Wrap-Up 02: Mathematizing Children’s Literature

Promotional graphic for Math Teacher Lounge podcast, episode 2, featuring Allison Hintz and Antony Smith, discussing how mathematizing children's literature can build math fluency.

While we’re hard at work producing the exciting fifth season of Math Teacher Lounge: The Podcast, we’re continuing to share some of our favorite conversations from our first four seasons. This time around, we’re revisiting our popular episode that connected literacy and math!

In this episode, we sit down with Allison Hintz and Antony Smith, authors of Mathematizing Children’s Literature, to talk about what would happen if we were to approach children’s literature, and life, through a math lens–and how we can apply those same techniques to classroom teaching!

Explore more from Math Teacher Lounge by visiting our main page

Download Transcript

Bethany Lockhart Johnson (00:02):

Hi, I’m Bethany Lockhart Johnson.

Dan Meyer (00:04):

Hi, I’m Dan Meyer.

Bethany Lockhart Johnson (00:05):

And we are so excited for another episode of Math Teacher Lounge. And as you know, podcast format; you’re listening now. I think one beautiful thing about the podcast format is that it gives us a little bit more time to have these rich conversations. And I promise I won’t do it, but I could talk to our guests for hours, hours! Authors Allison Hintz and Tony Smith have just released Mathematizing Children’s Literature: Sparking Connections, Joy, and Wonder Through Read-Alouds and Discussion. And today we get to talk to the authors. Allison, Tony, welcome. Welcome to the lounge.

Allison Hintz (00:53):

Thank you. We’re so grateful to be here.

Bethany Lockhart Johnson (00:55):

We’re so excited to have you here. And I wanna say that my very first—was it my first math conference? Maybe it was my first math conference—up in Seattle, the CGI conference, and I’m all like, you know, wide-eyed and just like, “Can this be a place for me, this math community?” Re-envisioning my relationship with math and thinking about myself as a math teacher, what? And I went to your session on mathematizing children’s literature, and I was just so fired up. I was so wowed by your ideas, your energy, and your passion for students’ thinking. And I feel like as I read this book, I felt like I was hanging out with you. Like you were just so encouraging all the way through. Of educators, of other folks working with young people, and really guiding us how to listen with joy and with an open curious mind.

Dan Meyer (02:03):

Yeah. I would love to hear a bit about the genesis of this book for you folks. Like, I’m coming at this from a secondary educator lens. I’ve got small kids, so that’s also part of my interest here. But I love any book, any idea that seeks to merge what seems like two disparate worlds. Like it’s often the case that we feel like, well, there’s approaches for ELA and approaches for math, and they’re kind of separate disciplines. And these poor elementary teachers have to learn all of them and be experts at all of them. And here you both come along and say, “Hey, what if they are the same kind of technique?” Can you just speak to how this came about?

Allison Hintz (02:38):

Definitely. Tony, do you wanna take a try? Do you want me to start us off?

Antony Smith (02:42):

I can start. We oftentimes present and talk together and so we kinda switch back and forth. So that’s just how we are. So probably about eight or nine years ago, Allison and I, our offices were next to each other on our small campus. We’re both professors and we just happened to have a few children’s books that we looked at together and we were just thumbing through the pages. We really liked children’s literature. And we noticed that I would stop at certain points wondering about character motive or plot or sequence of events or language use. And Allison would stop at very different points in the book and notice number and concepts or something about mathematics. And that’s when we started to wonder, what would it be like if we were sharing a children’s book with a group of children and we put our ideas together? Where would we stop? What would we talk about? What would we ask children about in terms of their thinking and what they notice?

Allison Hintz (03:42):

And so we started playing with these questions that we had and started approaching stories with multiple lenses to see what kinds of things would children notice and what kinds of things might they say. And we were also on our own journey in trying to understand how to plan for and facilitate lively discussions and classrooms that surface really complex mathematics. And it felt like stories were a place where that might be a fruitful context for hearing children’s thinking. We’ve worked with a lot of teachers and students in our region. We live in the Seattle area and we’ve applied for some funding over time that’s really helped us be in a lot of community-based organizations and educational contexts and libraries and pediatricians’ offices and classrooms, various classrooms, and see what’s interesting about this and what might teachers and children do with stories that would surface complex mathematics to think about together.

Antony Smith (04:41):

Over time, we came to the realization that if we wanted to hear children’s ideas, we had to stop bombarding them with questions. <laugh> Yeah. And at first it made it worse that we were asking them math and literacy questions at the same time. And so we realized that what we needed to do was to back off and to ask children what they noticed and wondered.

Bethany Lockhart Johnson (05:01):

Can you say more about that and how that kind of evolved into mathematizing children’s literature?

Antony Smith (05:07):

We did work with a number of very thoughtful, talented classroom teachers and children’s librarians in public library systems who were just so masterful at asking open-ended prompts and questions, rather than kind of like the de facto reading quiz, that a read-aloud can become, which I’ve always disliked as a literacy educator. And we realized in our observing these read-alouds or interactive read-alouds or shared reading experiences that given the opportunity in the space and an adult who was actually listening, that children came up with all of the ideas we would have asked them about and more. So we didn’t have to be bombarding them with questions. They were already much more thoughtful than what would’ve been sufficient to answer our questions.

Allison Hintz (05:58):

And much like mathematics, it was really an iterative process. You know, we had some clunky read-aloud discussions where we were trying to accomplish so much and toggling multiple chart papers and different colored pens and all sorts of “how do we capture these ideas” and “do we separate ’em? do we keep ’em together?” And so it’s really been over time that with partners, we’ve learned these ways of having multiple reads of the same story that allow us to hear what children notice and wonder, and then to delve more deeply into their questions and their ideas through multiple reads where we might spotlight literary ideas that they notice; we might spotlight mathematical ideas that they notice. We might make purposeful integrations between those. But we found it to be most productive—and Kristin Gray really help us think about this—to have an open Notice and Wonder, get everything out much like an open-strategy share. We welcome here, record all the ideas, and it goes all over everywhere. You know, it can be a really not math-y noticing! And those are amazing! So there’s a lot of, um, yes, there is a ladybug on this page! The grandma is wearing green triangle earrings! Oh, your grandma wears green earrings! I mean, it all comes out.

Bethany Lockhart Johnson (07:27):

Wait, have you been in my classroom? ‘Cause that’s exactly— <laugh>

Allison Hintz (07:29):

<laugh> And then, you know, we think of it a lot like if math teachers might use the 5 Practices for selecting and sequencing, or if you might move from an open-strategy share to a targeted share, how can we get out all the questions that children are asking and then step back from them, take some time to really think about what they’re telling us they’re curious about, and plan some purposeful, intentional subsequent discussions that can delve more deeply into their ideas.

Dan Meyer (08:02):

I’d love to go into that a little bit more if that’s all right. Um, I’m gonna speak from someone who doesn’t have an elementary background and I’m gonna voice some worries that I had, some anxiety. One anxiety I have like in a classroom or a curriculum is when there’s no room for student ideas. Right? When it’s like, oh, there’s just room for the curriculum author or the teacher here. That is a sadness. But I when I see an instructional environment like you’re describing here, where there is openness to all kinds of different student ideas, of different levels of formality, from different kinds of cultural fonts of knowledge or wherever, I also get a little bit nervous because that, like, increases the risk that a student might come to understand that “my ideas are not good enough,” whereas in the class with no room for their ideas from their home or their language or their hobbies, like, they’re not gonna internalize the message that, “that wasn’t good enough.” And so I’m really curious as you move from the open Notice and Wonder where kids share all of themselves with you, and then you move to a targeted focus on some sort of disciplinary objective, how do you navigate that tension and help students feel like their contributions are valuable, even though we aren’t taking them up per se?

Allison Hintz (09:18):

That’s such an important question. I mean, I think we’ve grappled with this broadly in math education. I think any time we’re thinking about which ideas we choose to take up to pursue to consider, we have a responsibility to think carefully about whose ideas are being taken up and heard and considered. And so one of the tensions I hear you naming, I think, Dan, is when we engage in lively discussion where children’s thinking’s at the center, how do we make sure to upend and interrupt kinda status norms that run the risk of being deepened? Um, and I think by paying attention to whose ideas are taken up as much as which ideas are taken up, and what’s the mathematics we wanna explore is one tension. Um, another tension I might hear you naming is, you know, the complications that teachers face with time and pressure and coverage, and which mathematics ends up getting worked on. And, um, you know, it’s something we’ve really had to struggle with in mathematics education, where we move to more discussion-oriented classrooms that are really centered in sense-making to know that it takes a lot of time to do this thoughtful, thoughtful work. Um, does that begin to get at some of the tensions you’re raising? Is there, is there more you’re thinking about?

Dan Meyer (10:53):

I think it’s really helpful that you kind of broadened the scope of the question beyond your book to “this is an issue that we are, you know, really challenged by and focused on broadly in math education.” And, um, I appreciate you bringing the element in of whose idea—not just which idea is taken up, but whose idea is taken up—is an opportunity where, let’s say, multiple people raise an idea that is towards an objective the teacher has, they have the opportunity to disrupt certain kinds of status, like ideas about status, in that moment. From your perspective, like, are there techniques to say, I don’t know, parking-lot certain kinds of questions and say like, “Hey, like these are awesome”? I don’t know. I just know that I see kids at like ninth grade. They are very reticent, often. They’ve internalized totally this sense of like, “I’m not gonna just, like, share about the pants the grandma’s wearing, you know; that will not be received well.” And so I’m just kinda wondering how that happens and like, what are the ways we can disrupt that? That process?

Antony Smith (11:54):

So thinking about that, Dan, from the teacher’s perspective, in those kinds of scenarios where you wanna honor each child’s contribution, a couple of things that come to mind: One is that by, you know, initially by modeling what I as a teacher, something that I notice or wonder about, helps kind of set the expectation for what kind of response would be encouraged. And it’s broad, but it gives an example. And then also we really try to record or to chart all of the ideas that are shared so that we can revisit and honor those together. And then either later or on another day, if we choose one or two of those to explore in some way within a more focused read, then another thing that we do is have the idea investigation afterward that continues that thought, but goes back to being as open-ended as possible, so that those students or children who maybe didn’t have their idea as the one that was focused on by the group could go back to that or explore some other idea of their own, so that the idea investigation isn’t a lockstep extension activity, which is why we don’t call it that. So they could again bring in their own perspective. But I have to say from the teacher’s point of view, there is that moment of potential panic <laugh> because there is that power transfer when you’re asking children to help steer where this is going. And if you really mean it, you have to let them steer a little bit. And that can be terrifying. And, um, I always think of one teacher, Ashley, we worked with who read an adorable book, Stack the Cats, by Susie Ghahremani. And in that book, there’s a point where there are eight cats and they’re kind of trying to be a tower of cats and they fall and they’re sort of in the air on that page. And she asked her first graders—she stopped, and she asked, “How, do you think, how will the cats land?” And for about a minute and a half, the entire <laugh> class, was silent. They had their little papers; they had chart paper; they had clipboards; they had everything they needed. But that unusual phenomenon of a group of six- and seven-year-olds actually just sitting and thinking and not being peppered with activities was really stressful, but amazing. And then, after about the 90 seconds, they started out into their exploration of how the eight cats might land. They just needed a minute to think. And it’s so rare that we’re able to let children have that.

Allison Hintz (14:40):

In that same moment, Ashley, who’s a learning partner to us, she turned to us kind of quietly, like, “Should I pose a different question?” And <laugh>, we’re like, “No, let’s stick with it. Let’s see what happens.” So I think it creates this space too, this thinking culture, right? And this culture of “what does that mean to really pose a rich task?That’s open-ended, where there’s multiple access points?” Those eight cats could land in so many different ways. And there was broad access, there was a wide range of all the cats landing, and one’s on their feet, ’cause cats always land on their feet <laugh>, and there was every combination. And so, um, I think what’s really interesting—and to me, this brings back to your wonder, Dan—is, you know, “What’s the risk in openness?” And there’s always risk in openness. Um, it’s scary as a teacher, right? If I’m not the authority of knowledge and I don’t have control over where we’re gonna go, it might get into places that I didn’t anticipate. Or I don’t really feel as solid in the math as I want to. Or I don’t know what it sounds like to stick with silence and wait time, to know if my students are really in productive struggle or if that question was a flop. And so, um, I think this is some practice space for young mathematicians and teachers of mathematics, and just teachers, to explore with that openness and kind of the risk of the openness required for complex thinking to emerge.

Bethany Lockhart Johnson (16:12):

You know, it feels like the way you’re both describing this, it really is a culture shift, right? I kept feeling like I was given permission to be a beginner as I read this book. Like I was really…I loved how you said, I believe it was you, Allison, when you were in the class, you had a couple index card that you kept on your clipboard and that as you walked around, you were like, “Hey, if I don’t know what to ask, I ask one of these questions.” You know? And just this idea that, that, like Dan was saying, there is that loss of control, but that’s also a way to create this culture where students ideas are valued and we are allowing students to really generate the questions, which I thought was such an important idea to explore.

Allison Hintz (17:00):

We started this work long ago, super-excited about math-y books. And we saw a lot of potential in them and we still do. But the limitation we saw is that math-y books, they, they put forth a certain mathematics to be curious about. In some ways they tell you what mathematics to think about. So we started asking ourselves what would happen if we considered any story a chance to engage as mathematical sense-makers. And we started playing with non-math-y books and we got to a place where we could consider every story an opportunity to engage in mathematical thinking. And so we started noticing things over times, oh, these books tend to be really math-y. We call those text-dependent. We’d have to pay attention to the mathematics to understand the story. Whereas this pile of stories, these, they’re not overtly math-y. You could really enjoy the story and not pay attention to mathematics and have an amazing conversation. But what would happen if we thought of about this story as mathematical sense-makers and how might it deepen our understanding of the story? And then this other teetering pile of books, these are books where, you know, children didn’t tend to engage as overtly as mathematicians in it, but there’s opportunities in this story to go back to something—to a moment, to an illustration, to a comment—and think as mathematicians. And those were more about illustration exploring. And so, as we notice these different kinds of books, we really broaden what we thought about. And I think one of the things we really wanna think about in community through this book is what happens if we approach any story, every story, as mathematical sense-makers, because stories are alive in children’s lives, in homes and communities and in schools. And it’s a broad opportunity that we wanna take up. I was thinking, as I stay in this strait for just a moment about book selection, before we move into that process, um, Bethany in a previous MTL, you talked about representation.

Bethany Lockhart Johnson (19:12):

Mm, yeah.

Allison Hintz (19:14):

And do you remember when you shared the image of hair braiding?

Bethany Lockhart Johnson (19:19):

Yes. Vividly, yes. <laugh>.

Allison Hintz (19:22):

Yeah. And can you say just what that meant to you? What that….

Bethany Lockhart Johnson (19:27):

Yeah. Well, it was from a conference; Sunil Singh had used it and was talking about the artistry in mathematics and beauty in hair braiding. And, um, particularly, he was showing this particular image of this Black woman with her hair braided in profile and looking at the angles and the symmetry. And I shared that, you know, I spent so many hours in the beauty shop with my aunties and my mom and my grandma and continue to, to this day, that it just, it struck me immediately as familiar. And it struck me immediately as seeing an image that was reflective of my lived reality, projected as valuable and worthwhile for consideration in the world of mathematics. Which is not what I felt as a student of mathematics as a young adult or child. So it was this beautiful moment of, for me, the power of when we see images and we allow opportunities for re-envisioning what may be a common practice for that student, or may be something that they see every day.

Allison Hintz (20:44):

And in that same way, that image that was put up, we wanna think really carefully about representation in the stories that we select. And when we think of stories as mirrors or windows, we really wanna be mindful in story selection of whose stories are told and whose stories are heard. And when you said that you would sit down to listen to a story and you felt at ease or that you saw an image and you saw yourself that can be and should be something we really think carefully about when we select the stories that we select.

Dan Meyer (21:21):

It’s a wider path for representation of different kinds of people in literature, because people’s stories seem so much more present and towards the surface of their lives, versus, say, the abstractions and numbers and shapes in mathematics. It feels like more of a struggle to find ways to show people, hey, like you’re here, this, this place belongs to you. So in all these reasons, I think it’s really great you folks are using literature, which has this history of humanities, literally humanities, as a vehicle for mathematics. That seems pretty special here.

Antony Smith (21:56):

We both go to libraries and bookstores and look through books as often as we can, but also our partner, a children’s librarian, Mie-Mie Wu, helped us go through—when we would meet, she would bring three or four hundred books at a time.

Bethany Lockhart Johnson (22:13):

When you described her wheeling in the cart, oh, I wish I been in that room! <Laugh>

Antony Smith (22:18):

And the cart was, you know, probably three or four times bigger than she was sometimes. And we would go through hundreds of books and look at them and listen to her thoughts as a skilled librarian sharing with families, diverse families, and what catches the attention of a three-year-old sitting with her grandfather. And that was really a valuable, helpful experience. And it’s a partnership that continues. So in Last Stop on Market Street—and this is in the book; we talk about this, this children’s book quite a bit—in this story, CJ with his Nana, his grandmother, are riding the bus to the last stop on Market Street in San Francisco, to go, as we will find out, to help serve in a soup kitchen to help the community. And the teacher, Susan Hadreas, had the children record their ideas. She charted them in an open Notice and Wonder read. And one of the ideas that a young boy noticed was that CJ on the bus…a man with a guitar starts playing the guitar on the bus and CJ closes his eyes and it says CJ’s chest grew full. And he was lost in the sound and the sound gave him the feeling of magic. So this boy said, “I wonder, what does that feel like if you’re feeling the magic? What’s that?” And that was one of many ideas in the open Notice and Wonder, and Allison will talk about the math lens read, but first Susan went back and read with them. She had that idea, she circled it on the chart paper, and another day that week, she said, let’s go back and visit this story we really liked. And remember, we wondered what feeling the magic was like. Let’s go back through and let’s keep track of all the feelings and emotions that CJ had across the journey to the soup kitchen in this book. And so they did another read of the story; they were very familiar with it, of course, but they noticed new things and they also, every few pages, stopped and she helped chart all of the emotions that CJ experienced from envy to excitement to sadness. There’s a huge range in this book. And it was fascinating.

Allison Hintz (24:36):

I think one of the things that the children noticed was that CJ’s feelings were shaped by community. And that he shaped and shaped…he was shaped by and helped shape his community. And so the ways that he felt across the story were impacted by the other characters that he comes across. The guitar man on the bus. The bus driver who can pull a coin out from behind someone’s ear. The lady with the butterflies in the jar. Nana helping him to see the rainbow. And the students started, you know, being curious about that. How do we shape and how are we shaped by community? What communities are we a part of? This class is one community. I’m in many communities across my life. And they started to quantify the number of people in the story. So Mrs. Hedreas went back for a math lens read, and she said, let’s just keep track of and pay attention to how many people are in CJ’s life in this day. Because I can hear you starting to think about quantity. This class at the same time in other areas of the day had been working on counting collections, how to keep track, so they got out their tools. Some people pulled out ten frames, some people pulled out clipboards. They had a wide range of things they could use to help them keep track. They developed their own strategy, keep track however you want. She did a quicker read through it, flipping the pages, and then they get into these debates: <laugh> “We already counted that person!” “But they took their hat off and put it down to collect money!

Antony Smith (26:10):

“What about the dog?”

Allison Hintz (26:11):

“That’s the same person!” “Yeah, there’s a dog pound in his community!” <laugh> “Do animals count in our community?”

Bethany Lockhart Johnson (26:17):

I love it!

Allison Hintz (26:17):

“Yes, they count!” Uh, and so we went through and quantified and there was really this understanding as you saw these people throughout the story that communities can be of different sizes, but community has impact. And you have responsibility in your community to show up and to lean in and to know that bringing your full, authentic, vulnerable self, you shape people and they shape you. And what communities are people a part of. And it turned into this really interesting discussion about quantity and helped us think more about quantity and community. I think a really important moment for us and for that class was the transition from being people who almost did mathematics to a story, like counted things on a page, um, count acorns on a page in an autumn book, to being mathematicians who thought within the story.

Antony Smith (27:17):

And then two idea investigations that came from that —not at the same time, of course, but with the same group of children—one was they identified an emotion of their own and wrote and drew about that. And also, who helped them address or get out of or acknowledge that emotion. And then the other idea investigation was that all of the children drew or kind of mapped out a community that they were part of. Whether it was their neighborhood or their classroom or their soccer team or whatever it was. And so then those investigations strengthened the connections of those concepts to the lives of those children.

Bethany Lockhart Johnson (28:05):

Well, I, actually wanted to ask you about idea investigations. Because I feel like that was such an important invitation in your book. And the way I understood the idea investigation is you’re really paying attention to what’s coming up in your other reads. Right? And then these are opportunities to extend the thinking, or like you said, to extend a particular aspect: What’s your community? Can we map your community? Or what’s a particular emotion? And it was in such contrast to what I think I have probably done in my classroom more than once, which was like, “Oh, we read this story about seals. So now my story problem is gonna be about seals, right? <laugh> Like in the story, you know, Jojo, the seal had five balls. <laugh> So if Jojo still had five balls and two of them bounced away…” You know, or whatever. Right? But that’s not what an idea investigation is. Right?

Allison Hintz (29:03):

Yeah. I think this is where we also had some stumbles and can totally relate to what you’re saying as previous classroom teachers as well. We have come to a place where we are pretty in favor of a super open-ended idea investigation that takes up the things that have surfaced in the multiple reads and making sure it’s a rich task with many, many ways children can engage with that. There’s many, many, many right answers or ways to engage. Less is more there. So we moved way away from, like, even a worksheet that might have an idea from it to blank paper and math tools and places to get into some productive struggle around some of the complex things that were raised.

Antony Smith (29:59):

A challenge with worksheets is that they put a frame around children’s ideas. So either there are only three lines to write on, or there’s only a small box to draw in. Whereas a blank page really opens up the possibility. Um, and so—is it Ann Jonas who wrote Splash!? sorry, I don’t have it in front of me—the book Splash!, about animals that end up in and out of the pond, including a cat that is not happy about ending up in the pond, an idea investigation after that for very young children was, with the list of the different creatures displayed at the front of the room: On blank paper, hey, draw your own pond and decide how many of which and each type of animal you want in your pond and then write about it. Just on blank paper. And so that allowed some children to draw, like, three giant goldfish. But other children drew 17 frogs and three cats. And, and just, it lets children follow—

Bethany Lockhart Johnson (31:02):

It was theirs, right? It was theirs.

Antony Smith (31:04):

Their idea. <laugh> And that comes partly from, I think, as Allison mentioned, we both were classroom teachers before moving into academia. And I remember giving children worksheets, particularly math worksheets, where they weren’t necessarily bad, but right at the bottom, it says like, explain your strategy. And it gives two lines.

Bethany Lockhart Johnson (31:23):

Right! <laugh>

Antony Smith (31:25):

The only thing a seven-year-old can write there is “I thought.” Or “I solved it.” <laugh> And that’s not where we need to go.

Dan Meyer (31:34):

Yeah. If I could just ask the indulgence of the primary crowd here, like, I’m trying to make sense of all this. And I just wanna like, offer my perspective. My summary statement of what’s going on here. I’m trying to—I love how you both came here—

Bethany Lockhart Johnson (31:45):

<laughs> How ya doin’, Dan? How ya doin’?

Dan Meyer (31:47):

<laughs> I’m, ah, A, I’m loving this a lot. Um, B, I came in here loving how you folks are broadening the work of primary education to kind of find commonalities between these sometimes seemingly disparate kinds of teaching in ELA and math. Love that, I wanna say. But I think you folks are describing, with all these teachers you observed and your own work, is the work of attaching meaning to what students might not realize yet has meaning. Or they might think it only has one kind of meaning. But you, the teacher, with their knowledge, realizes that there are many more dimensions of meaning that can be attached to those thoughts. And I’m hearing that from you folks, when you describe A, what math is and the power of a teacher to name a thing as mathematical. Like, “Oh, you didn’t think math was that, but math is noticing; math is wondering; math is asking questions,” for one. But also this work you’re describing of how, like, first the task has to invite lots of student thoughts and then to say like, “Oh, I see that there’s a similarity to these two.” And to raise those up for a conversation or to ask a question like to extend one person’s, one student’s question a little bit more. But it’s always…I’m just hearing you folks attaching more meaning than the student might have originally thought. I appreciate the conversation. That’s really interesting.

Bethany Lockhart Johnson (33:03):

Well, and now that the book is out, I think it’s gonna keep evolving, right? Now that it’s gonna be in the hands of teachers and librarians and educators and caregivers, it’s exciting to see kind of where it goes next. Which actually brings us to our MTL challenge. Dan Meyer, do you wanna share?

Dan Meyer (33:22):

Math Teacher Lounge, we have a challenge for the folks who listen and we’d love for them to hop into the Facebook group Math Teacher Lounge, or hit us up on Twitter at @MTLShow and just, like, kind of exercise beyond listening, exercise the ideas you folks are talking about, some kind of a challenge that can help us dive deeper into your ideas. So what would you folks suggest for our crowd, for our listeners?

Allison Hintz (33:42):

I would love to invite people to playfully experiment with a favorite story, with a story that’s new to you. I would love to invite listeners to sit with a story maybe on your own, and just ask yourself as a mathematician: What do you notice and wonder in this story? Don’t feel any pressure. Maybe sit with a child or some children and listen to what they notice and wonder. Like, really listen! Don’t ask questions! But hear their questions and place children at the center and consider multiple reads. Consider continuing to pursue their questions. And we have a planning template that might support people in kind of sketching out some ideas if you’re open to playing with that too.

Bethany Lockhart Johnson (34:34):

And we will post—

Dan Meyer (34:36):

That’s awesome.

Bethany Lockhart Johnson (34:36):

—a link for that planning template in our Facebook group and on Twitter as well. So thank you so much for that resource, because I think it’ll definitely help. It could help you, like you said, it could help you kind of organize your thoughts or help you think about this work in a new way. So thank you for that resource and thank you for the amazing resource that is Mathematizing Children’s Literature. I am so excited to continue to engage with you both and with listeners as they dive into this book. If folks want to engage with you more, where can they find you? How can they reach you?

Allison Hintz (35:12):

Well, we’re on Twitter.

Bethany Lockhart Johnson (35:14):

Great.

Dan Meyer (35:15):

What’s your home address? <laugh>

Bethany Lockhart Johnson (35:24):

Wait, let me try that again. <laugh> ‘Cause it does sound like I’m like, <fake ominous voice> “Where can they find you?”

Allison Hintz (35:29):

4-2-5…. <laughs>

Antony Smith (35:32):

At the bookstore!

Bethany Lockhart Johnson (35:34):

Y’all, if folks want to continue this conversation or share these ideas or the math challenge, how can they tag you? How can they, they reach you on the World Wide Web, besides the Math Teacher Lounge Facebook group?

Antony Smith (35:50):

Yeah. Well, we are both on Twitter, and we’ve been trying to promote the hashtag #MathematizingChildrensLiterature. It’s very long, but once you type it once, your phone or computer…

Bethany Lockhart Johnson (36:01):

Easy. Yeah, those click, right? Is that what it is now?

Antony Smith (36:03):

<laugh> The other is that we do for our project, we have an Instagram account that is @MathematizeChildren’sLiterature.

Allison Hintz (36:11):

We care really deeply about hearing from people. You know, we think our ideas are constantly evolving and that there’s such exciting room to grow. And we just felt compelled to share what we were learning now so that together we could learn and build vibrant experiences for young children and teachers and families through stories. So we want to hear from people! We wanna learn about stories that are important in your lives and what children say, and grow these ideas together.

Bethany Lockhart Johnson (36:42):

And credit to Dan, you told me you went and ordered a bunch of the books they have on the suggested read list.

Dan Meyer (36:48):

Oh my gosh.

Bethany Lockhart Johnson (36:49):

You read ’em to your son.

Dan Meyer (36:50):

I got such a side-eye from my significant others around here for what I dropped on Amazon in one night! <laugh> Uh, all these books I didn’t have. Some of them I did. We are not fully illiterate around here! We do love the written word at the Meyer household! But there were a bunch that that I grabbed. I’m morseling them out day by day.

Bethany Lockhart Johnson (37:09):

Wait, at bedtime I read my one-year-old One Is a Snail, Ten Is a Crab. <laugh> And let me tell you, he had vigorous pointing and “Da? Da da da da?”

Allison Hintz (37:22):

<laugh> Aww, da da!

Bethany Lockhart Johnson (37:22):

So hey, we’re on the road. <laugh> <music> Deeply grateful, not only for your work and your beautiful book and your work, but also for the invitation to dive into the world of children’s literature in a way that many of us have not before. And it’s fun! Thank you, Tony. And thank you, Allison. And thanks for hanging out in the lounge.

Allison Hintz (37:48):

Thanks for having the lounge!

Antony Smith (37:49):

It’s been fun!

Allison Hintz (37:52):

Thank you both.

Stay connected!

Join our community and get new episodes every other Tuesday!

We’ll also share new and exciting free resources for your classroom every month.

What Allison Hintz says about math

“We started asking ourselves, “what would happen if we considered any story a chance to engage as mathematical sensemakers”.”

– Allison Hintz

Author and Associate Professor, University of Washington Bothell

Meet the guest

Allison B. Hintz: Dr. Hintz’s research and teaching are in the area of mathematics education. Her focus on mathematics came about during her years as a fifth grade teacher – it was alongside her students that she developed her own positive identity as a mathematician! Today she studies teaching and learning, specifically facilitating engaging discussion. Her research and teaching happen in partnership with educators and children in formal and informal settings and focuses on beliefs and practices that support all children in lively mathematics learning. She is a co-author, with Elham Kazemi, of Intentional Talk: How to Structure and Lead Productive Mathematical Discussions.

Twitter: @allisonhintz124

Antony T. Smith: Antony T. Smith is an associate professor of literacy education at the University of Washington, Bothell. He works alongside teachers to create engaging literacy-mathematics learning experiences through exploring and discussing children’s literature. He is committed to the concepts of motivation, engagement, challenge, and creativity in literacy teaching and learning.

 Twitter: @smithant  Instagram: mathematizechildrensliterature

Two people appear in separate circular frames; the woman is smiling and wearing headphones, while the man stands in front of bookshelves, perhaps discussing Mathematizing Children’s Literature.
Podcast cover for "Math Teacher Lounge" with Bethany Lockhart Johnson and Dan Meyer; bold text on orange and teal semicircle background.

About Math Teacher Lounge: The podcast

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

What is a professional learning specialist (PLS)?

About this role

Amplify professional learning specialists deliver professional development for educators that drives change, leading to increased and effective use of our Amplify programs and positive impacts on students’ learning. New professional learning specialists:

  • Are selected and supported by Amplify.
  • Receive onboarding and become certified with an Amplify program, with opportunities to extend product certifications throughout the year.
  • Deliver virtual and on-site sessions for schools and districts throughout the country.

Dive deeper into the responsibilities, requirements, and compensation of the professional learning specialist role within the professional learning specialist overview flipbook!

Why join?

The PLS advantage

Professional development for educators is one of the most powerful levers to shift learning, action, and beliefs. 

As a professional learning specialist, you’ll be able to impact educators—and, ultimately, students—nationwide and see how schools across the country are driving success. Over time, you’ll also deepen your facilitation and leadership skills and build relationships with fellow professional learning specialists who are current or former educators.

Uncover additional advantages of being in the professional learning specialist network (pages 714).

Is this right for me?

Becoming a PLS is ideal for:

Current educators*Former educatorsRetired educators
who want to gain a new perspective and develop leadership and adult facilitation skills.who are seeking part-time, contract work and a more flexible schedule.who want to stay connected to a network of education leaders and continue to make an impact.

Availability requirements:

  • 15-20 hours per week of paid remote onboarding in May or June, with one mandatory in person training at the end of week 4 of onboarding.
  • Available to deliver in person PD a minimum of 18 business days (average of 3 days per week) from July 13th – August 21st.

More information:

Further evaluate if this is the right role for you (pages 25–29).

This year, nearly 30% of our professional learning specialists were current educators and 70% were former or retired educators. While our professional learning specialists are in different places within their classroom or educational leadership careers, they all have several key qualities in common. These include:

  • A deep knowledge of high-quality instruction and adult learning principles.
  • The drive to be a strong colleague and team player.
  • Proven excellence in delivering in-person and online professional development.
  • Exceptional customer service skills.
  • High comfort with navigating ambiguity and responding confidently to in-the-moment challenges.

Access more detailed requirements of the role (pages 16–29).

Families and caregivers, welcome to Amplify Desmos Math K–5!

Welcome to the Amplify Desmos Math K–5 Caregiver Hub. We hope your student enjoys exploring math, working with friends to solve problems, and learning new and interesting concepts. And we hope you enjoy the math journey with them! Below are some suggestions and resources for how you can support their learning at home.

Learn more about Amplify Desmos Math.

Para la versión en español, haga clic aquí.

Three children are engaging in a math activity with a grid and orange markers. One child holds a "9-3" card. The background includes beach elements and abstract math symbols.

Caregiver Unit Resources

For every unit of the program, we’ve created a Caregiver Resource that provides a summary of key concepts, plus a problem from the lesson practice set you can work through with your student. You’ll find a Caregiver Resource for each unit, in both English and Spanish.

Unit 1: Math in Our World

Unit 2: Numbers 1–10

Unit 3: Flat Shapes All Around Us

Unit 4: Understanding Addition and Subtraction

Unit 5: Make and Break Apart Numbers Within 10

Unit 6: Numbers 0–20

Unit 7: Solid Shapes All Around Us

Unit 1: Adding, Subtracting, and Working With Data

Unit 2: Addition and Subtraction Story Problems

Unit 3: Adding and Subtracting Within 20

Unit 4: Numbers to 99

Unit 5: Adding Within 100

Unit 6: Measuring Lengths of Up to 120 Length Units

Unit 7: Geometry and Time

Unit 1: Working With Data and Solving Comparison Problems

Unit 2: Adding and Subtracting Within 100

Unit 3: Measuring Length

Unit 4: Addition and Subtraction on the Number Line

Unit 5: Numbers to 1,000

Unit 6: Geometry and Time

Unit 7: Adding and Subtracting Within 1,000

Unit 8: Equal Groups

Unit 1: Introducing Multiplication

Unit 2: Area and Multiplication

Unit 3: Wrapping Up Addition and Subtraction Within 1,000

Unit 4: Relating Multiplication to Division

Unit 5: Fractions as Numbers

Unit 6: Measuring Length, Time, Liquid Volume, and Weight

Unit 7: Two-Dimensional Shapes and Perimeter

Unit 1: Factors and Multiples

Unit 2: Fraction Equivalence and Comparison

Unit 3: Extending Operations to Fractions

Unit 4: From Hundredths to Hundred Thousands

Unit 5: Multiplicative Comparison and Measurement

Unit 6: Multiplying and Dividing Multi-Digit Numbers

Unit 7: Angles and Properties of Shapes

Unit 1: Volume

Unit 2: Fractions as Quotients and Fraction Multiplication

Unit 3: Multiplying and Dividing Fractions

Unit 4: Multiplication and Division With Multi-Digit Whole Numbers

Unit 5: Place Value Patterns and Decimal Operations

Unit 6: More Decimal and Fraction Operations

Unit 7: Shapes on the Coordinate Plane

Unit refresh videos

Unit 1

  • Sub-Unit 2 – Answering the Question “Are There Enough?”
  • Sub-Unit 3 – Counting and Cardinality

Unit 2

  • Sub-Unit 1 – Comparing 2 Groups Using the Terms More, Fewer, and Same
  • Sub-Unit 2 – Counting Objects in Different Orders
  • Sub-Unit 3 – Making Groups to Represent Numerals
  • Sub-Unit 4 – Comparing Written Numbers

Unit 3

  • Sub-Unit 1 – Identifying Circles and Triangles in Different Sizes and Orientations
  • Sub-Unit 2 – Using Positional Words to Describe the Location of Shapes

Unit 4

  • Sub-Unit 1 – Adding and Subtracting Within 10
  • Sub-Unit 2 – Representing Addition and Subtraction Story Problems
  • Sub-Unit 3 – Finding the Values of Expressions

Unit 5

Unit 1

  • Sub-Unit 1 – Organizing Data to Count How Many in Each Category
  • Sub-Unit 2 – Counting on to Add and Counting Back to Subtract
  • Sub-Unit 3 – Representing 2 Categories of Data With Addition Equations

Unit 2

  • Sub-Unit 1 – Representing and Solving Add To, Change Unknown Story Problems
  • Sub-Unit 2 – Using Addition or Subtraction to Find an Unknown Part of a Total Amount
  • Sub-Unit 3 – Solving Compare, Difference Unknown Problems
  • Sub-Unit 4 – Making Sense of Story Problems With Different Questions

Unit 3

  • Sub-Unit 1 – Finding a Difference Using the Relationship Between Addition and Subtraction
  • Sub-Unit 2 – Using the Structure of Teen Numbers to Find Missing Addends
  • Sub-Unit 3 – Breaking Apart Addends to Make 10 When Adding
  • Sub-Unit 4 – Subtracting From Teen Numbers in Parts to Get to 10

Unit 4

  • Sub-Unit 1 – Adding a Ten To and Subtracting a Ten From Multiples of 10
  • Sub-Unit 2 – Representing and Writing Two-Digit Numbers
  • Sub-Unit 3 – Comparing Two-Digit Numbers
  • Sub-Unit 4 – Representing the Same Two-Digit Number With Different Amounts of Tens and Ones

Unit 5

  • Sub-Unit 1 – Adding a Number of Tens or Ones to a Two-Digit Number
  • Sub-Unit 2 – Adding a Two-Digit Number and a One-Digit Number When Composing a Ten is Necessary
  • Sub-Unit 3 – Adding a Two-Digit Number and a Two-Digit Number When Composing a Ten is Necessary

Unit 1

  • Sub-Unit 1 – Choosing Strategies to Add Within 20
  • Sub-Unit 2 – Representing Data in a Picture Graph and Bar Graph
  • Sub-Unit 3 – Finding the Difference Between 2 Categories Shown on a Bar Graph

Unit 2

  • Sub-Unit 1 – Strategies to Solve Story Problems Involving Money
  • Sub-Unit 2 – Decomposing a Ten When Subtracting by Place
  • Sub-Unit 3 – Making Sense of Story Problems About Comparing That Use the Word More
  • Sub-Unit 4 – Making Sense of One- and Two-Step Story Problems

Unit 3

  • Sub-Unit 1 – Measuring the Length of an Object in Centimeters Using a Ruler
  • Sub-Unit 2 – Measuring Objects in Inches and Feet
  • Sub-Unit 3 – Representing Measurement Data on a Line Plot

Unit 4

  • Sub-Unit 1 – Locating Numbers on Number Lines
  • Sub-Unit 2 – Representing Addition and Subtraction Strategies on a Number Line

Unit 5

  • Sub-Unit 1 – Composing Hundreds to Represent Three-Digit Numbers
  • Sub-Unit 2 – Comparing Three-Digit Numbers

Unit 1

  • Sub-Unit 1 – Representing Equal-Groups Situations With Equal-Groups Drawings
  • Sub-Unit 2 – Representing Arrays With Multiplication Equations
  • Sub-Unit 3 – Representing Data Using Scaled Bar Graphs

Unit 2

  • Sub-Unit 1 – Determining the Area of a Rectangle Using Counting and Skip Counting
  • Sub-Unit 2 – Determining the Area of a Rectangle Using Multiplication
  • Sub-Unit 3 – Decomposing to Determine the Area of Rectilinear Figures

Unit 3

  • Sub-Unit 1 – Using the Expanded Form and Partial Sums Algorithms to Add
  • Sub-Unit 2 – Using the Expanded Form Algorithm to Subtract
  • Sub-Unit 3 – Rounding Numbers to the Nearest Hundred and Ten Using Number Lines
  • Sub-Unit 4 – Representing and Solving Two-Step Story Problems Involving Multiplication

Unit 4

  • Sub-Unit 1 – Representing Division Situations With Equal-Groups Drawings
  • Sub-Unit 2 – Representing an Equal-Groups Problem With a Division and Multiplication Equation
  • Sub-Unit 3 – Using the Distributive Property of Multiplication to Multiply a One-Digit Number by a Teen Number
  • Sub-Unit 4 – Decomposing Dividends to Divide

Unit 5

  • Sub-Unit 1 – Writing Unit and Non-Unit Fractions
  • Sub-Unit 2 – Locating Non-Unit Fractions on the Number Line
  • Sub-Unit 3 – Identifying Equivalent Fractions
  • Sub-Unit 4 – Comparing Fractions With the Same Denominator or Same Numerator

Unit 1

  • Sub-Unit 1 – Using Factor Pairs to Determine All the Possible Side Lengths of a Rectangle With a Given Area
  • Sub-Unit 2 – Finding Multiples and Common Multiples

Unit 2

  • Sub-Unit 1 – Locating Fractions with Different Denominators On the Same Number Line
  • Sub-Unit 2 – Using Multiples or Factors to Determine Equivalent Fractions
  • Sub-Unit 3 – Comparing Fractions Using Equivalent Fractions With Common Denominators

Unit 3

  • Sub-Unit 1 – Adding and Subtracting Fractions with the Same Denominator
  • Sub-Unit 2 – Multiplying Whole Numbers and Fractions
  • Sub-Unit 3 – Adding Fractions with Denominators of 10 and 100

Unit 4

  • Sub-Unit 1 – Writing Fractions With Denominators of 10 and 100 as Decimals
  • Sub-Unit 2 – Relationships Between Place Values in Multi-Digit Whole Numbers
  • Sub-Unit 3 – Comparing Multi-Digit Numbers
  • Sub-Unit 4 – Using the Standard Algorithm to Subtract When Decomposing is Required

Unit 5

  • Sub-Unit 1 – Representing Multiplicative Comparison Situations
  • Sub-Unit 2 – Converting Measurements in the Metric System
  • Sub-Unit 3 – Comparing Measurements

Unit 1

  • Sub-Unit 1 – Using the Layered Structure of a Rectangular Prism to Determine the Volume
  • Sub-Unit 2 – Determining the Volume of a Rectangular Prism
  • Sub-Unit 3 – Determining the Volume of Figures Composed of Rectangular Prisms

Unit 2

  • Sub-Unit 1 – Representing Equal-Sharing Story Problems with Fractional Quotients
  • Sub-Unit 2 – Representing Fractions with Equivalent Multiplication and Division Expressions
  • Sub-Unit 3 – Determining the Area of a Rectangle With a Fractional Side Length

Unit 3

  • Sub-Unit 1 – Representing Multiplication of 2 Unit Fractions with Diagrams
  • Sub-Unit 2 – Dividing Whole Numbers by Unit Fractions

Unit 4

  • Sub-Unit 1 – Multiplying Multi-digit Whole Numbers Using the Partial Products and Standard Algorithms
  • Sub-Unit 2 – Dividing Multi-Digit Whole Numbers Using Partial Quotients
  • Sub-Unit 3 – Representing Multi-Step Story Problems with Equations

Unit 5

  • Sub-Unit 1 – Comparing Decimals
  • Sub-Unit 2 – Using the Standard Algorithms to Add and Subtract Decimals
  • Sub-Unit 3 – Multiplying a Whole Number and a Decimal Using the Distributive Property
  • Sub-Unit 4 – Dividing Whole Numbers by Decimals Less Than 1

Access Amplify Desmos Math at home.

In addition to a print Student Edition workbook, your student will have digital access to all learning, practice, and assessment materials through the Amplify platform. The digital curriculum can be accessed in school and at home by following these instructions:

  • Click the Amplify Desmos Math button.
  • Select Log in with Amplify.
  • Enter your student’s username and password provided by your student’s teacher.
  • Select the desired grade level.

Once logged in, caregivers can view student work by opening previous assignments.

Learn how to navigate the student home page.

Materials overview

Amplify Desmos Math supports blended learning with supporting print materials and a unique digital experience. All K–5 lessons are available in a write-in Student Edition book. Many of the lessons include hands-on activities with manipulatives, tools that help students understand abstract concepts by making them tangible. Your student will also work with digital devices for an age-appropriate number of lessons.

When students use devices, teachers can monitor their work in real time, making sure they get the exact support that they need at every part of the lesson, in and outside of class.

Una interfaz digital que muestra los nombres anónimos de los estudiantes y su estado de participación en diversas actividades. La interfaz incluye opciones para realizar resúmenes, capturas de pantalla y vistas individuales de los estudiantes.

Components of a lesson

Students in an Amplify Desmos Math classroom can be seen (and heard!) asking questions, debating answers, justifying their thinking, grappling with problems, and working together and independently.

A typical Amplify Desmos Math lesson includes:

  • Warm-up: A short, attention-getting problem to pique students’ interest in the lesson.
  • Activities: One to two mini-activities that challenge students’ problem-solving skills.
  • Synthesis: Discussion to review and bring together the important concepts from the lesson.
  • Show What You Know and Reflection: Questions for students to show what they know from the lesson. (Note: The Show What You Know lesson assessment is optional for kindergarten and grade 1.)
  • Centers: Student-led activity stations that reinforce the math learned during lesson activities through interactive and often game-like formats. In kindergarten and grade 1, time for Centers is built into the last 15 minutes of every lesson.

To support, strengthen, and stretch students’ learning after the lesson, Amplify Desmos Math offers options for:

  • Differentiation: Mini-Lessons, Centers, Extensions, Boost Personalized Learning, and Fluency Practice.
  • Practice: Additional problems your student’s teacher may assign for classwork or homework.

Support math learning at home.

You can support your student’s math learning outside of school in many ways:

Your student’s teacher may assign practice problems at the end of each lesson for classwork or homework. If your student has already completed the practice problems for the lesson, ask them to walk you through how they solved each problem, or talk about any parts that were challenging for them. Ask your student follow-up questions to encourage the use of math language as they explain their thinking, such as, “How do you know?,” “How can you show your thinking?,” or “How would you describe that?” If students are stuck, ask support questions, such as, “What information do you know here?” or “How could you represent this problem?”

Your student’s teacher may introduce a Center game with students in the lesson or beyond the lesson. These games are aligned to the math of the unit and can be played with students outside of class. Your student’s teacher may introduce a Center game to students during or after completing a lesson, or you may need to teach the game before you play by using easy-to-follow instructions. Sign up for a free account to explore Centers and additional K–5 content in our Featured Collections.

Each unit in Amplify Desmos Math begins with a read-aloud story to engage students and provide context for the math of the unit. Elements and characters from the Unit Story then appear in lessons throughout the unit.

Kindergarten

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5

Relate math to daily activities at home, whether grocery shopping, preparing a meal, or planning for a trip to the store. Your student can help you figure out how many more apples there are than oranges in the grocery cart, show how to split a sandwich into fourths, or figure out how much change you’ll receive in exchange for a $10 bill. Encourage your student to point out ways that you use math in your daily tasks.

Remind your student that getting stuck is part of the process and a necessary—beneficial, even!—part of learning. Many students (and adults) fear making mistakes. But research shows that making mistakes helps our brains grow. When your student gets stuck on a problem, encourage them to keep trying different strategies, even if they’re not sure if they are right.

Get more information.

Have a question about Amplify Desmos Math? Visit our help library to search for articles with answers to your program questions. For additional support, please contact your student’s teacher.

Reading and literacy integration

Amplify Science is a new phenomena-based science curriculum for grades K–8.

A collage of various educational book covers related to science and math, featuring illustrated themes like sports, nature, and energy.

Reading and literacy integration

Amplify Science units provide strategy-based literacy instruction that aims to develop students’ facility with reading, writing, and talking about science. Each unit provides many authentic opportunities for students to learn about and practice the ways of communicating and learning that characterize science as a discipline. The following are the Amplify Science Guiding Principles for Literacy:

  1. Students acquire literacy expertise through the pursuit of science knowledge and by engaging in scientific and engineering practices.
  2. Attention to discipline literacy instruction should begin as soon as students enter school and should continue throughout the grades.
  3. Participation in a disciplinary community is key to acquiring disciplinary expertise and literacy.
  4. Since the purpose of science is to better explain the natural world, argumentation and explanation are the central enterprises of science. Therefore, these practices are central foci of reading, writing, and talk in science.

Literacy instruction in the Amplify Science program utilizes a Gradual Release of Responsibility approach (Pearson and Gallagher 1983). In this approach, instruction begins with the teacher assuming primary responsibility for modeling strategy or skill and explicitly instruction how to use each strategy or skill. As instruction proceeds, the teacher offers as much support as needed so students can practice using the target strategy more independently. Over time, students take on more responsibility for using the strategy more independently. Depending on the goal, the path from teacher modeling to student independence will vary. Over the course of a unit, students may not achieve independence for every literacy goal, but they will move along the continuum toward flexible use of a wide range of reading, writing, and learning strategies that have been incorporated throughout the program.

Each Amplify Science Elementary Unit includes five books that students use to build an understanding of science ideas, practices, and crosscutting concepts. While the program does not take on responsibility for providing all literacy instruction required for students’ reading development (e.g., skill-based or fluency-oriented literacy instruction), it is designed to support vocabulary, language, and reading comprehension development.

Amplify Science provides students with a series of content-rich nonfiction and informational texts that are read for a variety of purposes throughout the unit. The five books in each unit include one book for approximately every five days of instruction and one reference book that students draw upon throughout the 22-lesson units (20 instructional lessons & 2 assessment days for pre/post). Students are encouraged to read books as independently as possible so they can apply the comprehension strategies they are learning in order to understand what they read. In each Amplify Science reading session, comprehension is supported at three stages: before, during, and after reading. At each stage, students engage in planned tasks that build an understanding of the key concepts and themes in a book. The teacher’s role is to scaffold comprehension and provide opportunities for practicing the strategies and skills that are being taught. At each stage, these include:

  • Before-reading activities designed to help students activate their background knowledge, prepare to use particular comprehension strategies, and set a purpose for reading.
  • During-reading activities intended to help students monitor their comprehension, make connections, and read and understand important science vocabulary in context.
  • After reading activities intended to help students reflect on their learning and connect their reading to their firsthand science investigations.

Nonfiction and informational text. The Amplify Science program is designed to help students gain familiarity with the structures and functions of nonfiction and informational texts by extending students’ exposure to these texts in a rich learning environment. The program uses nonfiction and informational texts because it is an important component of content learning in school; it helps build knowledge of the natural and social world, and it provides students with a purposeful context for learning key concepts and vocabulary. Nonfiction and informational text are also engaging and motivating as it answers genuine questions and capitalizes on student interests and background knowledge. Reading a wide variety of texts have been shown to affect students’ interest in reading overall (Duke 2004). Nonfiction and informational genres are also the genres students are most likely to encounter when reading and writing inside and outside of school. For adults, nonfiction and informational texts are read more often than other genres (Duel 2004; Smith 2000). In order for students to become successful information gatherers as adults, we need to provide opportunities for them to engage with nonfiction and informational texts in school.

Reading comprehension. Reading instruction in Amplify Science is designed to promote students’ capacity to read for meaning. Guided instruction and a supportive classroom context help students learn to employ powerful comprehension strategies that are critical for gaining a better understanding of text and becoming skilled readers (Duke and Pearson 2002). Comprehension strategies included in the Amplify Science program include posing questions, making inferences, setting goals for reading, summarizing, synthesizing, and using text features. Across units, students are guided to use these strategies flexibly as they read and make sense of a wide range of nonfiction and informational texts. Students also gain critical experience with understanding texts and experiences in relation to one another as they make connections between the books they read and the science they do. These connections then extend their growing conceptual understanding. Reading instruction in Amplify Science also encourages students to reflect on the utility of comprehension strategies, including when, why, and how these strategies helped them. One important way students make connections is through sustained classroom discussion of text with their peers (Nystrand 1997). Students regularly discuss both content and comprehension use before, during, and after reading, learning more about both as they engage in discussions with their peers. The Amplify Science approach also draws on research that demonstrates the benefits of instructional coherence (connected reading, writing, listening, and talk), particularly in the content area of science (Romance and Vitale 2001; Cervetti et. al. 2007; The Directed Reading Model supports reading comprehension before, during, and after reading. Cervetti et. al. 2006). Reading comprehension is enhanced as students connect what they read to what they are investigating and learning in science. The Amplify Science student books provide many opportunities for students to practice their developing reading skills in context, engage in authentic discourse around text, make connections, and support their understandings with textual evidence.

Amplify Science units provide strategy-based literacy instruction that aims to develop students’ facility with reading, writing, and talking about science. Each unit provides many authentic opportunities for students to learn about and practice the ways of communicating and learning that characterize science as a discipline. The following are the Amplify Science Guiding Principles for Literacy:

  1. Students acquire literacy expertise through the pursuit of science knowledge and by engaging in scientific and engineering practices.
  2. Attention to discipline literacy instruction should begin as soon as students enter school and should continue throughout the grades.
  3. Participation in a disciplinary community is key to acquiring disciplinary expertise and literacy.
  4. Since the purpose of science is to better explain the natural world, argumentation and explanation are the central enterprises of science. Therefore, these practices are central foci of reading, writing, and talk in science.

Literacy instruction in the Amplify Science program utilizes a Gradual Release of Responsibility approach (Pearson and Gallagher 1983). In this approach, instruction begins with the teacher assuming primary responsibility for modeling strategy or skill and explicitly instruction how to use each strategy or skill. As instruction proceeds, the teacher offers as much support as needed so students can practice using the target strategy more independently. Over time, students take on more responsibility for using the strategy more independently. Depending on the goal, the path from teacher modeling to student independence will vary. Over the course of a unit, students may not achieve independence for every literacy goal, but they will move along the continuum toward flexible use of a wide range of reading, writing, and learning strategies that have been incorporated throughout the program.

Each Amplify Science Elementary Unit includes five books that students use to build an understanding of science ideas, practices, and crosscutting concepts. While the program does not take on responsibility for providing all literacy instruction required for students’ reading development (e.g., skill-based or fluency-oriented literacy instruction), it is designed to support vocabulary, language, and reading comprehension development.

Amplify Science provides students with a series of content-rich nonfiction and informational texts that are read for a variety of purposes throughout the unit. The five books in each unit include one book for approximately every five days of instruction and one reference book that students draw upon throughout the 22-lesson units (20 instructional lessons & 2 assessment days for pre/post). Students are encouraged to read books as independently as possible so they can apply the comprehension strategies they are learning in order to understand what they read. In each Amplify Science reading session, comprehension is supported at three stages: before, during, and after reading. At each stage, students engage in planned tasks that build an understanding of the key concepts and themes in a book. The teacher’s role is to scaffold comprehension and provide opportunities for practicing the strategies and skills that are being taught. At each stage, these include:

  • Before-reading activities designed to help students activate their background knowledge, prepare to use particular comprehension strategies, and set a purpose for reading.
  • During-reading activities intended to help students monitor their comprehension, make connections, and read and understand important science vocabulary in context.
  • After reading activities intended to help students reflect on their learning and connect their reading to their firsthand science investigations.

Nonfiction and informational text. The Amplify Science program is designed to help students gain familiarity with the structures and functions of nonfiction and informational texts by extending students’ exposure to these texts in a rich learning environment. The program uses nonfiction and informational texts because it is an important component of content learning in school; it helps build knowledge of the natural and social world, and it provides students with a purposeful context for learning key concepts and vocabulary. Nonfiction and informational text are also engaging and motivating as it answers genuine questions and capitalizes on student interests and background knowledge. Reading a wide variety of texts have been shown to affect students’ interest in reading overall (Duke 2004). Nonfiction and informational genres are also the genres students are most likely to encounter when reading and writing inside and outside of school. For adults, nonfiction and informational texts are read more often than other genres (Duel 2004; Smith 2000). In order for students to become successful information gatherers as adults, we need to provide opportunities for them to engage with nonfiction and informational texts in school.

Reading comprehension. Reading instruction in Amplify Science is designed to promote students’ capacity to read for meaning. Guided instruction and a supportive classroom context help students learn to employ powerful comprehension strategies that are critical for gaining a better understanding of text and becoming skilled readers (Duke and Pearson 2002). Comprehension strategies included in the Amplify Science program include posing questions, making inferences, setting goals for reading, summarizing, synthesizing, and using text features. Across units, students are guided to use these strategies flexibly as they read and make sense of a wide range of nonfiction and informational texts. Students also gain critical experience with understanding texts and experiences in relation to one another as they make connections between the books they read and the science they do. These connections then extend their growing conceptual understanding. Reading instruction in Amplify Science also encourages students to reflect on the utility of comprehension strategies, including when, why, and how these strategies helped them. One important way students make connections is through sustained classroom discussion of text with their peers (Nystrand 1997). Students regularly discuss both content and comprehension use before, during, and after reading, learning more about both as they engage in discussions with their peers. The Amplify Science approach also draws on research that demonstrates the benefits of instructional coherence (connected reading, writing, listening, and talk), particularly in the content area of science (Romance and Vitale 2001; Cervetti et. al. 2007; The Directed Reading Model supports reading comprehension before, during, and after reading. Cervetti et. al. 2006). Reading comprehension is enhanced as students connect what they read to what they are investigating and learning in science. The Amplify Science student books provide many opportunities for students to practice their developing reading skills in context, engage in authentic discourse around text, make connections, and support their understandings with textual evidence.

Back to Amplify Science

Assessments

Credible. Actionable. Timely. The assessment system for each Amplify Science unit is designed to provide teachers with actionable diagnostic information about student progress toward the learning goals for the unit. Assessment of unit learning goals is grounded in the Unit Progress Build (PB), which describes how student understanding is likely to develop and deepen through engagement with the unit’s learning experiences. The assessment system includes formal and informal opportunities for students to demonstrate understanding and for teachers to gather information throughout the unit – all while giving teachers flexibility in deciding what to score and what to simply review. Built largely around instructionally-embedded performances, these opportunities encompass a range of modalities that, as a system, attend to research on effective assessment strategies and the NRC Framework for K-12 Science Education.

The variety of assessment options for Amplify Science include:

  • Pre-Unit Assessment (formative): discussion, modeling, and written explanations to gauge students knowledge.
  • On-the-Fly Assessments (OtFA) (formative): each OtFA includes guidance on what to look for in student activity or work products, and offers suggestions on how to adjust instruction accordingly.
  • End-of-Chapter Problem Context Explanations (formative): Three-dimensional performance tasks to support students’ consolidation of ideas encountered in each chapter and provide insight into students’ developing understanding.
  • Self-Assessments (formative): One per chapter; brief opportunities for students to reflect on their own learning, ask questions, and reveal ongoing wonderings about unit content.
  • Critical Juncture Assessment (CJ) (formative): Occurring at the end of each chapter similar in format to the Pre-Unit and End-of-Unit assessments.
  • End-of-Unit Assessment (summative): discussion, modeling, and written explanations to gauge students’ knowledge and growth.

Hands-On and Print Materials (“Kits”)

There is a box of materials associate with every unit of Amplify Science, containing a variety of hands-on activities and print materials that are called for in the various lessons in the unit. Each box, commonly called a “kit,” is associated with a given unit, and each teacher should ideally have their own kit for each unit.

Hands-on brochures

*One blackline master Student Investigation Notebook is included in each unit kit, grades 3–5.

Within the kit there are two types of materials:

  1. Physical manipulatives
  2. Printed materials

The physical manipulatives are the hands-on items used in various lessons in the unit. For example, the Balancing Forces kit contains balloons, batteries, magnets, fasteners, rubber balls, and various other materials.

There are two types of physical manipulatives: consumables and nonconsumables. Nonconsumables are durable and, if cared for properly, can be used over the course of several years. Consumables are used up with each use and must be replenished.

There are also print materials in the kits, including:

  • Key concepts: Teachers designate an area of the classroom wall to post “Key Concept” printed cards. These cards contain short sentences that explicitly identify an important idea or concept learned in the unit. By posting that card to the wall, the classroom has a visual anchor – a physical representation of “what we’ve learned so far.”
  • Vocabulary wall: Like the Key Concepts, Vocabulary cards are provided in your unit’s kit. These, too, are posted to a designated area of the classroom wall, and more and more vocabulary cards are added to the wall as we progress through the unit.
  • Unit and Chapter Questions: Printed cards with the unit question and individual chapter questions are also provided in the kit. These cards help students to remember exactly what we are investigating over the course of the chapter, and ultimately, over the course of the unit.
  • Card Sets: Printed cards, specific to a unit, are in each kit (though not all units have Card Sets). Often, students are sorting these cards on their desks, ranking them, ordering them, etc. For example, in the Metabolism unit, students take “Evidence Cards,” each with a piece of evidence, and then rank and arrange the evidence cards from strong-> weak->irrelevant, thereby providing a visualization of their thinking and reasoning.

Preview Amplify Science: NYC

Start your view by simply selecting “Preview the Curriculum” and then selecting either Teacher or Student access. We recommend selecting Teacher access as you will also be able to see the student resources.

Looking for help reviewing the program? Reach out to a New York City Amplify Science curriculum expert.

Reading and Literacy Integration

Amplify Science units provide strategy-based literacy instruction that aims to develop students’ facility with reading, writing, and talking about science. Each unit provides many authentic opportunities for students to learn about and practice the ways of communicating and learning that characterize science as a discipline. The following are the Amplify Science Guiding Principles for Literacy:

  1. Students acquire literacy expertise through the pursuit of science knowledge and by engaging in scientific and engineering practices.
  2. Attention to discipline literacy instruction should begin as soon as students enter school and should continue throughout the grades.
  3. Participation in a disciplinary community is key to acquiring disciplinary expertise and literacy.
  4. Since the purpose of science is to better explain the natural world, argumentation and explanation are the central enterprises of science. Therefore, these practices are central foci of reading, writing, and talk in science.

Literacy instruction in the Amplify Science program utilizes a Gradual Release of Responsibility approach (Pearson and Gallagher 1983). In this approach, instruction begins with the teacher assuming primary responsibility for modeling strategy or skill and explicitly instruction how to use each strategy or skill. As instruction proceeds, the teacher offers as much support as needed so students can practice using the target strategy more independently. Over time, students take on more responsibility for using the strategy more independently. Depending on the goal, the path from teacher modeling to student independence will vary. Over the course of a unit, students may not achieve independence for every literacy goal, but they will move along the continuum toward flexible use of a wide range of reading, writing, and learning strategies that have been incorporated throughout the program.

Each Amplify Science Elementary Unit includes five books that students use to build an understanding of science ideas, practices, and crosscutting concepts. While the program does not take on responsibility for providing all literacy instruction required for students’ reading development (e.g., skill-based or fluency-oriented literacy instruction), it is designed to support vocabulary, language, and reading comprehension development.

Amplify Science provides students with a series of content-rich nonfiction and informational texts that are read for a variety of purposes throughout the unit. The five books in each unit include one book for approximately every five days of instruction and one reference book that students draw upon throughout the 22-lesson units (20 instructional lessons & 2 assessment days for pre/post). Students are encouraged to read books as independently as possible so they can apply the comprehension strategies they are learning in order to understand what they read. In each Amplify Science reading session, comprehension is supported at three stages: before, during, and after reading. At each stage, students engage in planned tasks that build an understanding of the key concepts and themes in a book. The teacher’s role is to scaffold comprehension and provide opportunities for practicing the strategies and skills that are being taught. At each stage, these include:

  • Before-reading activities designed to help students activate their background knowledge, prepare to use particular comprehension strategies, and set a purpose for reading.
  • During-reading activities intended to help students monitor their comprehension, make connections, and read and understand important science vocabulary in context.
  • After reading activities intended to help students reflect on their learning and connect their reading to their firsthand science investigations.

Nonfiction and informational text. The Amplify Science program is designed to help students gain familiarity with the structures and functions of nonfiction and informational texts by extending students’ exposure to these texts in a rich learning environment. The program uses nonfiction and informational texts because it is an important component of content learning in school; it helps build knowledge of the natural and social world, and it provides students with a purposeful context for learning key concepts and vocabulary. Nonfiction and informational text are also engaging and motivating as it answers genuine questions and capitalizes on student interests and background knowledge. Reading a wide variety of texts have been shown to affect students’ interest in reading overall (Duke 2004). Nonfiction and informational genres are also the genres students are most likely to encounter when reading and writing inside and outside of school. For adults, nonfiction and informational texts are read more often than other genres (Duel 2004; Smith 2000). In order for students to become successful information gatherers as adults, we need to provide opportunities for them to engage with nonfiction and informational texts in school.

Reading comprehension. Reading instruction in Amplify Science is designed to promote students’ capacity to read for meaning. Guided instruction and a supportive classroom context help students learn to employ powerful comprehension strategies that are critical for gaining a better understanding of text and becoming skilled readers (Duke and Pearson 2002). Comprehension strategies included in the Amplify Science program include posing questions, making inferences, setting goals for reading, summarizing, synthesizing, and using text features. Across units, students are guided to use these strategies flexibly as they read and make sense of a wide range of nonfiction and informational texts. Students also gain critical experience with understanding texts and experiences in relation to one another as they make connections between the books they read and the science they do. These connections then extend their growing conceptual understanding. Reading instruction in Amplify Science also encourages students to reflect on the utility of comprehension strategies, including when, why, and how these strategies helped them. One important way students make connections is through sustained classroom discussion of text with their peers (Nystrand 1997). Students regularly discuss both content and comprehension use before, during, and after reading, learning more about both as they engage in discussions with their peers. The Amplify Science approach also draws on research that demonstrates the benefits of instructional coherence (connected reading, writing, listening, and talk), particularly in the content area of science (Romance and Vitale 2001; Cervetti et. al. 2007; The Directed Reading Model supports reading comprehension before, during, and after reading. Cervetti et. al. 2006). Reading comprehension is enhanced as students connect what they read to what they are investigating and learning in science. The Amplify Science student books provide many opportunities for students to practice their developing reading skills in context, engage in authentic discourse around text, make connections, and support their understandings with textual evidence.

Digital Simulations

Digital Sims are digital tools that serve as venues of exploration and means for collecting data and evidence, and present students with opportunities to make observations and manipulate variables of key scientific processes and mechanism. Sims allow students to explore scientific concepts that might otherwise be invisible or impossible to see with the naked eye. Much like real scientists do, students of Amplify Science will use these computer simulations to gain insight into processes that occur on the microscopic scale, or alternatively, to speed up processes that might otherwise take thousands or millions of years to observe.

In grades 4–8, Amplify Science offers a unique sim which students will use throughout the unit. And each time a sim appears in a lesson, there are clear instructions for both teachers and students on its use.

Digital simulation from Ecosystem Restoration unit

Spanish Resources

Amplify Science is committed to providing support to meet the needs of all learners, including multiple access points for Spanish-speaking students. Developed in conjunction with Spanish-language experts and classroom teachers, multiple components are available in Spanish across the Amplify Science curriculum.

Spanish-language materials include:

ComponentTeacher/student
Student Investigation Notebooks (K–8)Student
Science articles (6–8)Student
Student Books (K–5)Student
Video transcripts (6–8)Student
Digital simulation translation key (6–8)Student
Printed classroom materials (K–8)
(Unit and chapter questions, key concepts, vocabulary cards, etc.)
Teacher and student
Copymasters (K–8)Teacher
Assessments (K–8)Teacher

Supporting ELLs

English language learners (ELLs) bring a lifetime of background knowledge and experiences to everything they do. As they work to acquire a new language and new academic knowledge simultaneously, they may need specific linguistic support. In the instruction, the Differentiation Brief points out activities that could pose linguistic challenges for English learners or reduce their access to science content, and suggests supports and modifications accordingly.

The Lawrence Hall of Science authorship team believes that it is essential for students to develop both a deep understanding of science concepts and facility with disciplinary practices that are essential to the work of scientists and engineers. It is also important to recognize that in a single classroom, students have an array of learning needs and preferences. In particular, English language learners can benefit from learning opportunities designed to meet their needs from additional support then needed as they tackle the language and content demands of science.Five principles helped the Lawrence Hall of Science curriculum developers design instructional sequences to meet the goals of bolstering students who develop understanding of science content, decreasing language demands without diluting science content, and allowing students to more fully engage in disciplinary literacy practices. The five principles are based on research on best practices in the field and have been reviewed by Amplify Science ELL advisors.

  1. Leverage and build students’ informational background knowledge.
  2. Capitalize on students’ knowledge of language.
  3. Provide explicit instruction about the language of science.
  4. Provide opportunities for scaffolded practice.
  5. Provide multimodal means of accessing science content and expressing science knowledge.

Back to Amplify Science

Slow but steady: K–2 reading readiness climbs just 1–2 percentage points annually.

With just over half of young readers on track and year-over-year gains flattening, the latest research brief underscores the urgency of data-driven instruction:

  • 57% of K–2 students overall are on track to learn to read.
  • Year-over-year improvement from 2024–25 to 2025–26 ranged from zero to two percentage points across grades K–2; the youngest students made the most progress.
  • Middle-of-year data is uniquely positioned to help schools plan for instructional changes and implement those changes before the following school year. See our recommendations for schools and districts concerned about changing literacy outcomes.
An adult helps a child read a book at a table. The child is writing, and the adult is smiling. The setting resembles a classroom, with windows in the background.

Explore Amplify’s middle-of-year research brief.

Bar chart showing the percent of kindergarten students on track by year, ranging from 38% to 57%, with the highest value at 57% and the lowest at 38%.

Kindergarten at middle-of-year

57% of kindergarten students are on track to learn to read, two percentage points higher than 2024–25. Read more about how early reading recovery has stalled and what steps to take.

Read More

Bar chart showing the percent of Grade 1 students on track, with values 58, 44, 48, 52, 54, 55, and 56 percent, all below 60%.

First grade at middle-of-year

56% of first grade students are on track to learn to read, one percentage point higher than 2024–25. Read more about how early reading recovery has stalled and what steps to take.

Read More

Bar chart showing the percent of Grade 2 students on track, ranging from 52% to 60%, with an upward trend peaking at 58%.

Second grade at middle-of-year

58% of second grade students are on track to learn to read, no change from 2024–25. Read more about how early reading recovery has stalled and what steps to take.

Read More

Research briefs by school year

October 2024

BOY: Summer instructional loss highlights the importance of quality core instruction for the youngest grades.

Read the brief

October 2025

BOY: More students start the school year on track for learning to read, though momentum is slow.

Read the brief

February 2025

MOY: Early literacy gains offer hope for COVID recovery, though broader literacy challenges persist nationwide.

Read the brief

February 2026

MOY: Slow but steady: K–2 reading readiness climbs just 1–2 percentage points annually.

Read the brief

July 2025

EOY: Reading scores rise overall; gender disparities present a complex picture.

Read the brief

Read more research and case studies.

Amplify’s high-quality programs benefit millions of students every day using methods that are evidence-based, ESSA-aligned, and showing efficacy in a variety of contexts. Read more research and case studies and see more briefs on early literacy.

S3-03: Instructional strategies for integrating science and literacy

A graphic with the text "Science Connections" and "Amplify" features colorful circles and curved lines on a dark gray background.

We’re continuing our investigations around science and literacy with Doug Fisher, Ph.D., professor and chair of educational leadership at San Diego State University. We talk about the importance of integrating science and literacy, as well as practical guidance for teachers who want to unite the two disciplines in their own classrooms.

Listen as we discuss how science and literacy can be powerful allies and specific strategy areas to focus on when integrating the two disciplines. And don’t forget to grab your Science Connections study guide to track your learning and find additional resources!

We hope you enjoy this episode and explore more from Science Connections by visiting our main page!

DOWNLOAD TRANSCRIPT

Douglas Fisher (00:00):

It’s not that you have to become a reading specialist to integrate literacy into science. It’s how our brains work.

Eric Cross (00:10):

Welcome to Science Connections. I’m your host, Eric Cross. This season, we’re making the case for our favorite underdog, which of course is science. Each episode we’re showing how science can be better utilized in the classroom, and making the case for why it’s so important to do so. In our last episode, we examined the evidence showing that science and English instruction can support each other. And now on this episode, we want to give you some more strategies for really making that a reality in your own home or classroom or community. So to help me, I’m joined on this episode by Dr. Douglas Fisher, Professor and Chair of Educational Leadership at San Diego State University. Dr. Fisher is actually someone who has conducted literacy training at my own school, so I’m excited to be able to share some of his wisdom with all of you. Oh, and just a heads up, Dr. Fisher dropped some gems about the ways teachers can integrate literacy and science in their classrooms. So you may want to have a notepad. Ready. And now here’s my conversation with Dr. Douglas Fisher.

Eric Cross (01:12):

Well, Doug, thank you for your time and for being willing to come and talk about literacy and science. I know you’re busy, all over the place, and so I was super-excited that we were able to lock you in and talk about this. And, on this episode, we’re gonna talk about the ways that science and literacy can support each other. And one of the reasons why I’m really excited for you is because you said some really key things for me as a science teacher, when you talked about literacy and supporting students. That just resonated so deeply in me. And I was like, “I need more Doug!” Because we’re on that same frequency. And I know it’s a subject that you’ve spent a lot of time writing about. So can you tell us a little bit about how this became an area of interest or a passion for you? Just literacy, and all of the work that you’ve put into it?

Douglas Fisher (01:54):

Yeah. So I’ve wanted to be a teacher for a really long time. And I went to San Diego State as an undergraduate, and I was taking English class and we were assigned topics. You know, like, you’ll do an assignment, you’ll write a paper for this English class. And I got the topic “illiteracy,” and I was a freshman at San Diego State reading all of these things about adults who don’t read very well or not at all. And I ended up writing my very first college essay on illiteracy — at the time, you know, called illiteracy, at the time. And so I got super interested in this. And so as I moved through college and into my teaching career, literacy became a really important thing for me to think about, because it’s the gatekeeper. You know, you can be taken advantage of, if you’re not very literate. People can use vocabulary against you, if you’re not very literate. We know that people who have higher levels of literacy have better health outcomes. They have better lifespans, longer lifespans. I mean, there’s just — literacy impacts so much more than “Are you reading your fourth-grade textbook?” It really has lifelong implications.

Eric Cross (03:01):

That part that you said about being taken advantage of … I just got a flyer in the mail yesterday. It was one of these mailers that looked like it was an authentic debt-reduction type of thing, but it was really just like a marketing email. If you read the fine print at the very bottom, it had all of this jargon about “This is a paid, you know, for-profit company.” But when you look at it, it had official stamps all over it. And I could imagine if someone’s receiving that, that probably fools a lot of people. Is that kinda like what you’re talking about, like being taken advantage of?

Douglas Fisher (03:28):

Yes. I had a student turn 18, got a letter from a “credit card company” that was offering her daily compounding interest. And if you don’t know what that means — at 23 percent! — if you dunno what that means, you are gonna be a victim. Literacy really influences a lot of our life. It’s also how our brain works. We have a language-based system in our brain. We read, write, speak, listen, and view. And the things we learn, we learn through speaking, reading, writing, listening, and viewing. From what we know, we are the only species that has an external storage mechanism. Like, we have the ability to store complex information outside of our body, in the form of notes. We can type them. We can write them. And we can then go back and retrieve that information, that complex orthographic information later. And it means the same thing. We can say we have a storage system and we’ve been doing this for a really long time. Way back to, you know, hieroglyphics and messages on cave walls. And throughout the ages of humans learning, how to store information that they can re-access again later. That’s become a super-complicated system. It’s how computers operate. And we send messages to each other and we text each other and we write things down, and we’re really good at putting ideas, information out there. Now, if it’s just speaking and listening, then we can forget it. We can say, “No, you said this,” or “I said that.” But when it’s written, and it’s print literacy, you know, it’s the orthographics there, you can go back to the same message and over and over again. Now, you might change the interpretation of it, but the message is still there.

Eric Cross (05:16):

Right. And that is such a key element, at least of modern education, is this written element of it. It’s what many schools live and die by. They’re quantitatively and qualitatively analyzed by it. It’s public. They can see it. And so there’s this heavy emphasis. And why do you think science and literacy can be powerful allies together?

Douglas Fisher (05:38):

Awesome. Well, it’s hard to learn science if you’re not literate.

Eric Cross (05:42):

This is true.

Douglas Fisher (05:42):

But that’s a one-way direction. And yes, science teachers and scientists do a lot of reading, writing, speaking, and listening and viewing. They use the five literacy processes all the time. When we interview scientists, they spend a lot of their time reading the work of other scientists and writing their findings, writing grant proposals, presenting at conferences, you know. So a huge part of the work of a scientist is not just at a bench conducting experiments. But even if you’re conducting experiments, you’re using your literacy processes to think about what you’re seeing in your experiment. So that’s a one-way direction. And I do think literacy has an influence on science. But since science goes the other way, it influences literacy. As you learn more and you understand more about the world, your background knowledge grows, your vocabulary grows, you become more literate in those different areas. And how you think. So if I’m learning about life science; I’m learning how the world works in a more, biologic physical world. And that knowledge helps me think about when I’m reading a novel, and there’s an appeal to some science knowledge or a concept that gets played with, you know, perhaps time-space continuums … well, if I don’t have the science knowledge of how I think the world works, it’s hard for me to understand what this author is doing. So it does go both ways. They feed each other. And the more literate we become, the more complex science information we can understand. ‘Cause our background knowledge and our vocabulary influence how much we understand about what we read. And as we access more complex science information, it starts to change the way we think about other things in our world.

Eric Cross (07:23):

There was a couple of things that you said in that, but one of the first things that kind of perked my ears is when you said grant proposals. Because I have friends that are scientists — and this is one of the things that when I was in school, they don’t talk about — but how much of their research is reliant upon getting funding —

Douglas Fisher (07:37):

Mm-hmm. <affirmative>,

Eric Cross (07:38):

— which you don’t think about if you’re becoming a chemist or a physicist or a biologist or working in the field, is that that funding, coming from the NSF or anywhere else. And sometimes students ask in class like, “Why am I writing so much? Like, I want to go into science!” Or “I wanna do this!” And this is a real-life example of how the writing could actually apply, in addition to all of the things of collecting data and conclusions and results. But that grant proposal thing just really perked my ears, yeah.

Douglas Fisher (08:01):

And if you can’t write a grant proposal, your ideas and experiments are not gonna get funded. And if you can’t write a strong proposal, that compellingly convinces your readers to fund you, you’re not gonna get funded. But then once you get the grant, you have to write publications. You have to share your work with other people. Make PowerPoint presentations and write journal articles or books or whatever. So it’s a cycle that literacy influences the things we do, including the things we do in science.

Eric Cross (08:31):

Now to get in maybe some data, if you were trying to convince someone that like this happy marriage can exist, what would be like your number one piece of evidence to support this, this back and forth of supporting each other?

Douglas Fisher (08:44):

Awesome. So the quote I’ll often say — and this is from studies from more than two decades ago now — but in general, in high school science, students are introduced to 3000 unfamiliar words, 3000. Each year! Because there are words that are used in a scientific way that are used commonly in other places. And there are discipline-specific words. So 3000 words a year in high school science. The Spanish 1 textbook only has 1500 words in it. So science teachers have double the academic-language vocabulary demand that a typical introductory world-language class has. So just the vocabulary alone should say to us, literacy is gonna be important if you’re gonna learn science. And if you don’t understand these technical words, and you don’t understand the way science uses this particular word in this particular way… . When you say the word “process,” it means something very specific In science. “Division” — cellular division is not the way we think about it in mathematics; there’s a similar concept, but cellular division is different than dividing numbers. And those are words that get used in multiple areas. Then you have all these technical terms that you have to be able to use, to understand the concepts. To share the concepts. To talk to other people. Whether you’re in, you know, fifth grade and talking science, or you’re a university professor, there’s a shared language, appropriate for our grade level, that we have shared meanings of.

Eric Cross (10:22):

And we’re essentially … what I’m hearing you say is … most of the people that are listening to this are science teachers. We’re we’re also language teachers. In a sense.

Douglas Fisher (10:29):

So my frustration is when people say, “Every teacher’s a teacher of reading.” And I don’t like that. I’ve written against that phrase. I don’t think all teachers are teachers of reading, any more than all teachers are teachers of chemistry. Or all teachers are teachers of algebra. But what I will say is the human brain learns through language. And all of us — every teacher that I’ve ever met understands that language is important in my class. If my students don’t have strong listening skills and speaking skills; reading, writing, and viewing skills; I’m gonna have a hard time getting them to learn things. If I can help them grow their speaking, listening, reading, writing, and viewing in my content area, I’m gonna do a service for my learning of my subject and also their more broad literacy development.

Eric Cross (11:16):

  1. So, at a high level, what does it look like to integrate science and literacy? We’ve done education for the last, what, hundred years?

Douglas Fisher (11:24):

Mm-hmm. <affirmative>

Eric Cross (11:25):

—kind of pretty similarly, right? Kind of siloed way. What does this look like at the 30,000-foot level? You’re a professor, department chair. Run schools. Speak everywhere. Like, when you think about this from that high level, what does it look like?

Douglas Fisher (11:39):

A high level? Every time I meet with students in a science class, you know, biology or fifth grade or whatever? They should be reading, they should be writing, they should be speaking and listening. Every class. So what print do you want them to access? And it can be a primary source document, it can be an article, it can be from a textbook. Are they reading something? Are they writing to you? Because writing is thinking. If they are writing, they are thinking. As soon as their brain goes somewhere else, they stop writing. The pen won’t move or the fingers don’t type. And then speaking and listening, of course, is the dynamic of our classes. So every day we should see some amount of reading, writing, speaking, and listening, viewing in our classes. That’s at a high level. There are some generic things that seem to work across the literacy. So, learning how to take notes. Focusing on vocabulary. Using graphic organizers. These are generic things that as educators we can use in our classes. Then there’s more specialized things. So, scientists and science teachers think differently than historians and literary critics and art critics. So scientists, if you look at the disciplinary literacy work, there’s a whole body of research where they interview and study high-end experts in their field: chemistry, physics, biology, et cetera. And there are some characteristics that were more disciplined, specific. Scientists like cause and effect relationships. They look for them when they’re reading. They like sourcing information. “Where this come from?” “What’s the history of this idea?” Scientists have a long view in terms of time. Historians have a shorter view of time. English teachers have even shorter view of time. Scientists tend to think in long periods of time. And so all of that influences how a scientist reads and how we should apprentice young people after they get past the generic “I know how to take notes. I know how to study my vocabulary. I know how to do summary writing for my teacher in my notebooks and things,” there’s some generic tools. Once we get past those, we need to be looking at specifically how do people in science use literacy.

Eric Cross (13:52):

I’ve never had my thought process of reading deconstructed just now, but we just described how scientists read. I was like, “Yeah, that’s pretty much how I read, right there.” I also like how you said how we should apprentice young people. And I feel like you as the literacy guy, you chose that word very specifically, as far as apprenticing young people. That is a view, I think, that’s really important to hold. ‘Cause that’s what we’re doing essentially … is, if we’re doing what we should be doing, we are apprenticing these young people.

Douglas Fisher (14:18):

Yes.

Eric Cross (14:18):

And helping them develop. Now, let’s imagine there’s a listener out there and they’re interested in getting better at integrating science and literacy instruction. They want to start somewhere. Before we dive in, do you have any initial words of encouragement for the person who’s like, “Everything is like a priority right now,” in their classroom or in their world?

Douglas Fisher (14:37):

Yeah. So I’ll talk about elementary for just a moment. When we’re reading informational texts in our literacy block, we should be reading information that is aligned to what kids need to learn in science and history in, in that grade level. Why are we reading things that are gonna be in conflict with what they’re gonna learn in science later that day in fourth grade, for example? So when we look at our standards, our expectations, what is it that third graders need to know in history, science, mathematics, language arts? And when we’re reading text and we’re learning to apply our reading strategies during our literacy block, why aren’t we reading topics that build our background knowledge for our science time? So we’re seeing some synergy there. We should be looking at life cycles in grades that are appropriate for life cycles and knowing there’s more to life cycles than the frog and the plant or the seed. There are all kinds of life cycles. And we call ’em life cycles for a reason. That’s a general concept. Now in science, we’re looking at this particular lifecycle right now. And so that’s a high level. If we could get more connection to the content standards during our literacy blocks, it would be very good. When we talk about the time at which we call “science” in the day, in more of the K–8 continuum, the science needs to include some primary source documents. Some real things that students are reading. Read about a scientist; read about a scientist’s discovery; read about what they discovered. So that we’re building our background knowledge. So when we go to do things, activities, labs, simulations, we have background knowledge and we understand what we’re experiencing. It can’t be like—I watched this awesome lesson on lenses and the teacher had all these different lenses in the room and the students came in and they were brand new. They don’t know anything. They were picking ’em up. They’re exploring them. They’re trying to figure out, and they’re trying to come up with theories about what this is and how it works. And then the teacher gave them a reading, a short reading, on refraction of light. And they read this thing. And the clarity that they had about what these lenses must do, well! All of a sudden they’re putting them up to the lights! They’re asking if they can go get the lights out of the storage unit! ‘Cause there’s — and they’re shining different lights through the lenses to see what happens to the light. Because that little bit of reading turned some focus on for the students. And it allowed them to take what I’m thinking about, what I’m trying to figure out, how this thing works in another direction. That’s the power of using literacy in our classes.

Eric Cross (17:20):

And what I’m hearing essentially is transfer across disciplines, across content areas, ultimately. And in an elementary school classroom, would it be fair to say, probably the teacher has more autonomy to be able to do that, since they’re teaching all the subjects? But secondary, logistically, planning and those types of things … from what you’ve seen, is it fair to say this kind of needs to be like a top-down, full vertical alignment, to teach like this?

Douglas Fisher (17:45):

I think that would be awesome to do that. But if I’m a sixth grade English Language Arts teacher and I’m working with my sixth grade science teacher, the conversation should be, “What units are you teaching?” Because I’m choosing informational text. My job is to teach them how to find central ideas. My job is to teach them how to find the details in the text. My job is to have them make a claim and support that claim with evidence. The stuff I use is generic. Yes, we do read some literature and some narratives, but we also read about 50% of the text in English around informational text. So if I can help you and accomplish my standards as well, fantastic. So let’s have this conversation and say, “Oh, this is what you’re teaching in science in the next three weeks? I’m gonna choose some texts and we’re gonna analyze ’em for central idea. We’re gonna analyze ’em for details. We’re gonna, for mood or tone or whatever that we’re teaching. And by the way, I’m building background knowledge. So when they come to you, they know some stuff about what you’re going to be teaching next.” So I don’t think it’s impossible to say teams of teachers could come together and say, “What do we believe that our students need to know and learn and be able to do? And then how do we choose things that are gonna help them accomplish exactly that?”

Eric Cross (19:01):

And that’s empowering. Because that’s one thing that we can control maybe is this East-West, peer-to-peer, different content areas. A system may not be able to change as quickly, but I can definitely go talk to my English team or math team and check in and kind of see, “Hey, where do we have overlap in that?” And I know the times that I’ve accidentally had overlap with the teams, it’s super-exciting. And the students have been more bought in! Because it’s like, we’ve done something on the human microbiome and we’ve talked about genetics and all these different things, and then when they read The Giver, or they read some book about genetics, they have all this knowledge. And they’re excited. And they talk about colorblindness or they come to my class and they’re like, “Hey, we read about this!” It’s almost like they saw a magic trick, the fact that these things linked up. And the engagement has been so much higher when it’s the same content in different classes, but through different lenses. At least, that’s what I’ve seen in my years of teaching.

Douglas Fisher (19:54):

I saw a lesson on space junk that was so cool. Middle-school students learning space junk. And the history teacher had a part of it, science teacher had a part of it, English Language Arts teacher had a part of it. And these students, I mean, you watch them look up all the time, ’cause there’s space junk up there. Where’d it come from? Why is it there? What are the politics of this? How do we clean it up? I mean, it was just so interesting to watch them when the teachers came together. And the teachers met their standards in this couple-week-long space-junk exploration. Investigation was met. Politics was met. All these different things. Economy. You know, how much does it cost to clean up this problem? So there’s really cool opportunities when teachers come together and realize we can work together and improve the literacy and learning of our students.

Eric Cross (20:50):

Absolutely. So before this recording, we picked your brain a bit. And I know that there were three specific strategy areas that you wanted to touch on. And one of those — which is kind of coming back to the 3000-words language teachers — was vocabulary. So what are the opportunities that you see, as far as the way of educators to approach vocabulary? Because, you know, there’s a lot. We got a lot of it. The 3000 words.

Douglas Fisher (21:14):

Yeah. There’s a lot of it. So the worry is, we make a vocabulary list and have students look up the words in definitional kinds of things. That’s not really gonna help. Students need to be using the words. They need to be using the words in their conversations, in their writing, in how they think about your content in science. So vocabulary is a huge predictor of whether or not you understand things. Vocabulary is also a pretty good predictor if you can read on grade level. So when we think about vocabulary, there’s something called word solving. You show students a piece of text and you’re reading it, you’re sharing your thinking, and you say, “Oh, here’s a context clue!” Or “I know this prefix or suffix or root!” And in science, a lot of the words are prefixed, suffixed, or root words. We tend to add things together with a lot of prefixes and suffixes and have roots and bases in science. So we can help students think about, “Oh, what does geo- mean? We already know what geo- means here. It means the same thing in this word. Let’s apply that knowledge.” So word solving is part of it, showing students how we think about words that we might not know. The second is more direct instruction of vocabulary. As students encounter the words, we work on what it means, how we say it. We practice it a few times. The process is called orthographic mapping. It’s kind of a scientific idea here. But you have the sound and the recognition of by-the-word, by sight, and what it means. And your brain starts to automatically recognize that word in the future. So I don’t have to slow down, disrupt my fluency, and try to figure out what the word is saying. ‘Cause I’ve seen it enough. I’ve heard it pronounced enough, I’ve pronounced it enough, and I know what it means. So teachers should be saying, “What words in sixth grade science, what words in third grade science, do my students really need to know?” And I’m gonna have them encounter those words over and over. I’m gonna have them use the words. I’m gonna have them see the words. I’m gonna have them say the words. I’m gonna say the word and we’re gonna be over and over with these terms, so that students incorporate them into their normal view of, “These are the things I know about the world.” By the way, when they go to read that next thing, and they understand “geology,” you know, for sixth graders, for example, they know how to say it. They don’t stumble on it. And it activates a whole bunch of memories in their brains. “This is what geology is.” There are branches of geology, there’s physical geology, there’s all this thinking that activates as they read.

Eric Cross (23:35):

There was a practice that I participated in and am trying to incorporate — I don’t know what the name of it is. But essentially what happened was we were dissecting a flower. And the instructor had us name parts of the flower. But we got to come up with our own names for it.

Douglas Fisher (23:49):

Ah.

Eric Cross (23:50):

So, for instance, the stamen we call “the fuzzy Cheeto.” And we all used our own words and then everything was legitimized. And so we went through and learned the whole activity using our own vocab words. But then, in the end, after we presented and talked about it, then the words, the actual academic language was attached to our word. And we were able to say, “OK, the fuzzy Cheeto is the stamen,” and this, this, this, and this. But it was such an interesting practice, because it kind of legitimized all of our definitions. But we weren’t stumbling on these long Latin terms and things like that. Is there a name for that? Or. … ?

Douglas Fisher (24:29):

Yes. I don’t know the name for that. I think it’s really smart. So here’s what I would say about that, is: we don’t learn words, we learn concepts. Words are labels for our concepts. So what that teacher did for you was allow you to develop concept, a concept knowledge. “There’s a part of this plant, it goes like this, we’re gonna call it fuzzy Cheeto. Now I have this concept. And look, it occurred in all these plants. And those people called it that and that other group called it that. We called it a fuzzy Cheeto. Here’s the part of it.” And then the concept is in your brains. And the teacher said, “It’s really called stamen.” And it’s an instant transfer, because you already had the concept. What we often see is students are trying to learn a really hard academic word and the concept for the word at the same time. And so it slows down the whole process. And there’s higher levels of forgetting. Because human beings, we don’t learn words; we learn concepts. If you don’t have the concept, if I gave you a word out of the blue that you’ve never seen, never heard, and a week from now I asked you to remember it, you probably would not, because it didn’t register. It wasn’t part of your schema. You didn’t have a way to organize the information. You don’t have a concept. So that teacher? It’s a great idea. Got you to develop concept knowledge. And then said, “Here’s a real label for it: What some other people called it when they had the chance to come up with their own names.”

Eric Cross (25:50):

Shout out to my teacher, who was—

Douglas Fisher (25:51):

Right.

Eric Cross (25:52):

It was learned then. It was a great practice. And the fact that you’re right, like, I just mean from my own personal experience, I agree that learning concepts versus complicated words. And it’s interesting that you said higher levels of forgetfulness, you know. And you often hear that complaint about it: “Students forget! Students forget!” But this complex topic and this complex word that’s new to me, and I have to remember both of those things.

Douglas Fisher (26:12):

That’s right.

Eric Cross (26:13):

And the other neat thing that it did, is it actually honored the background and like the founts of knowledge of all the different groups in the classroom. You just said something about “this group called it this and this group called it this,” and so by letting different groups share all of those names, now we’re starting to build these kind of interesting connections. That’s at least what I remember experiencing. And so this, even this practice of this approach is very layered, beyond just kind of generating new knowledge of things. So I appreciate that aspect of it. Now another area that you mentioned was complex text.

Douglas Fisher (26:41):

Yeah.

Eric Cross (26:42):

And how we can get students into complex text. So what can we do there?

Douglas Fisher (26:46):

I think science is an ideal place to get students reading things that are hard for them. And I do believe that some parts of school should be a struggle. Not all day, every day. But there should be doses of struggle, which are good for our brains. And these complex pieces of texts that don’t give up their meanings easily allow students to go back and reread the text and maybe mark the text and talk to peers about the text and answer questions with their groups. And the whole point of complex text is to say, “We persevere through it. We may not understand it fully on our first read. But we go back and we might underline, we might highlight. We might write some margin notes. Our teacher might say, ‘What did this author mean here?’ And we go back and look at that part and we take it apart. What do we think about that? And we talk to each other. It’s showing that when we read things, we work to understand. We work through our thinking, often in the presence of other people. And our understanding grows as we go into the text over and over and over again.” So I said geology earlier. There’s about a two-page article on “what is geology” that sixth graders often read. And some kids find it super boring. It’s a once-read, “OK, geology, I don’t really understand it. There’s a bunch of words in here that I don’t understand.” But if you go back to it a few times and you start taking apart, “What are the branches of geology? Oh, I’m gonna go reread that.” How are these two branches related to each other?” “What are the subtypes of each branch of geology?” “How do geologists do their work?” You start asking questions where students are going back into the text. You spend a little bit of time. Now, the introduction to geology, the students know so much more. So whatever you do next— video experiments, whatever—they have a frame of reference, because of that deep, complex read. It’s probably better than simply telling them, “Here’s the information.”

Eric Cross (28:45):

Right. And I even feel like as an educator, when I reflect on my own learning in the classroom, and then looking at it through the perspective of an educator <laugh>, you find this difference between how you were taught and then what the data says good teaching is.

Douglas Fisher (28:59):

Mm-hmm. <affirmative> mm-hmm. <affirmative>.

Eric Cross (29:00):

It’s so easy to slide back into how you were taught!

Douglas Fisher (29:02):

Yeah.

Eric Cross (29:02):

Even though, you know, you mentally assent to, “This is the best way. This is the data shows.” And you find yourself kind of sliding back at times.

Douglas Fisher (29:10):

Yep. And there’s good evidence to support what you just said, that most people teach the way they experienced school. And it is very hard to change that. And people have studied this. And it’s very hard to change that. Because it worked for us. And we have an n of 1, and it worked for us. Now, remember, there were a whole bunch of other kids in the class that it may not have worked for. And we chose to be in school the rest of our lives, and some of your peers did not choose to be in school the rest of their lives. In fact, some of them hated school and found no redeeming qualities of their experience. So just because it worked for us in a case of one, n of 1, doesn’t mean it worked for all of the kids, or even the majority of them.

Eric Cross (29:57):

Very well said. It’s that, what is that, the survivor bias? Survivorship bias? Where you were the one that made it. But you don’t think about all the other folks. ‘Cause we’re thinking about ourselves.

Douglas Fisher (30:05):

That’s right.

Eric Cross (30:06):

Great case for empathy too, is thinking about the people left and right. Because my friends are like, “I hated science.” And I say, “Who hurt you? Like, what did they do? It’s so amazing, so much fun!”

Douglas Fisher (30:16):

“What happened to you? Science is the coolest. Right? It’s so amazing!”

Eric Cross (30:21):

But I also had a unique experience in seventh grade with my teacher who did some of these things, and made it accessible for so many of us, in opening opportunities that I wouldn’t have had otherwise. But you’re absolutely right. That was my story. That wasn’t the story of everybody that was around me. And I think that’s really important. Now, I know this is also a big one for you, but I wanna talk about writing. What are the opportunities that you see in terms of writing specifically?

Douglas Fisher (30:51):

So would love it if science teachers had short and longer writing tasks in the science time. Of course, you can integrate some of the science writing, the longer ones, in the English language arts time, especially if you’re the elementary teacher and you can have control of the whole day. But I said this earlier; I’ll say it again. Writing is thinking. While you are writing, there’s nothing else you can do but think about what you are writing. Your brain cannot do something else. So if a science teacher wants to know, do their students really understand the concepts? Have them write. Now some of the shorter ones, I like something called “given word” or “generative sentences”: “I’m gonna give you a word: CELL. C-e-l-l. We’re in science. I want you to write the word ‘cell,’ c-e-l-l, in the third position of a sentence. So it’s gonna go word, word, cell, and then more words.” You could also say, “I want the sentence longer than seven words,” or whatever. But the key is, I’m telling you where I want the word. You will know instantly if your students have a sense of what the word “cell” means in the context of science. If they write “my cell phone,” they don’t get it. If they write about spreadsheet cells or jail cells or whatever, they didn’t get it. But if they talk to you about plant cells and animal cells and the components of those cells, and then once they have that sentence down, you can say to them, “Now write three or four more sentences that connect to that sentence.” It’s super simple. So whatever concepts you’re teaching, put ’em in a specific position. Now you don’t have to only put it in the third position. You can say the first position, the fifth position, the fourth position. But it forces them to think about what they know about the word and then how to construct a sentence for you. That’s a very simple way to get some writing from your students that helps you think about what they understand. Other kinds of writing, you can have quick writes, you can have exit-slip writes. There’s something in the research space called the muddiest part, where halfway through the lesson you have them write so far what has been the least understood or the most confusing part of this lesson. And they do a quick write, right there, at the muddiest part. And as a teacher, you flip through these and you start to say, “Oh, these are the points that are confusing to my students.” So if 80% of them all have the same thing, I gotta reteach that. If these five got, “This is the muddiest part,” If these five thought, “This is the muddiest part,” these seven, “I thought this was the muddiest part,” what do I need to do? Because it’s gonna be hard to move forward if this is their area of confusion. There are also all kinds of writing prompts that have a little bit longer. My favorite one is RAFT. What’s your Role? Who’s your Audience? What’s the Format? And what’s the Topic we’re writing about? Super flexible writing prompt. When you teach something, we don’t want students to only think they write to their teacher. So your role is an atom. You are writing to the other atoms. What do you wanna write about? What’s the topic? What’s the format of it? Is it a love letter? Is it a text message? Is it … so we, we mix it up with students in saying, how do they show some knowledge through a prompt that we give them? And then of course, longer pieces as they get older. More opinion pieces through fifth grade. More claims and arguments starting in sixth grade. So that they’re starting to see, “I have to use the evidence from things I’ve learned, read, listened to, watched, and construct something: an opinion, an argument where I back it up with reasons or evidence.” And those longer pieces, you know, less frequently. The shorter pieces, pretty regularly. So the teacher sees the thinking of the students.

Eric Cross (34:29):

When you were speaking about these really creative writing prompts, there were specific students coming into mind, that were coming into mind … they’re, they’re great science students, but they also have this really strong artsy side drawing, creative writing, and things like that. And when you said something about atoms talking to each other, it elicited, in my brain, certain students that would really love this aspect of creativity in the sciences. And it’s not how we’re typically trained as science teachers, to kind of incorporate this, like you said. A book of props. But I’m imagining, like, as a science teacher, if I took this, this would be a great way to reach more students to be able to show what they know, in a way that might resonate with their own intrinsic “Oh, I get to write creatively!” So I was kind of writing furiously as you were sharing all that information there.

Douglas Fisher (35:12):

So here, I’ll give you another example for elementary people. Again, with RAFT. There’s a book called Water Dance. It’s a pretty popular book for elementary teachers. It’s really about the life cycle of water. For example, you are a single drop of water. You are writing to the land. The format is a letter. And you’re explaining your journey. Now, if they can do this, they’re essentially explaining to you the cycle of water. But you got it in a way that people are now, “Oh, I’m a drop of water. So it’s me. My perspective. Where do I go from? Where do I start?” Because you can start anywhere in the cycle, right? My drop could have started in the clouds. My drop could have started in the ground. My drop could have started in the lake. But it has to show you the journey. So there are many ways of showing you the right answers.

Eric Cross (36:02):

And that’s using the RAFT protocol.

Douglas Fisher (36:04):

That’s RAFT: Role, Audience, Format, Topic. It’s been around 20 or 30 years.

Eric Cross (36:09):

You just gave the name to something a teacher shared in our podcast community, Science Connections: The Community, on Facebook. Teacher shared a Google slide deck and on it were just three slides. And the role that the student had to have is they had to show, then tell, the story of a journey of a piece of salmon being eaten, a piece of starch from pasta being eaten, and then an air molecule in a child’s bedroom. And they had to give the path of travel and the experience from the mouth and then breaking down into protein and all those kinds of things. And this teacher shared it and I wish I knew the teacher’s name because I wanna give ’em credit, but they shared it. And so I used it with my students and then had ’em read aloud their stories and dramatize it. And they were so into it!

Douglas Fisher (36:49):

So cool.

Eric Cross (36:50):

But through it, I was able to see that they understood different parts of the body. They understood cell respiration. The whole thing. And it was fun! To watch them get so into this creative writing. And now I know the name of it. That’s been 30 years they were using RAFT. So you just talked a bit about complex texts and writing. And before we go, I wanted to circle back to something that you said, because I think it’s important, and if you could elaborate on it a little bit, about the value of struggle. Can you talk more about that?

Douglas Fisher (37:21):

Sure. I do believe in a lot of the U.S. we’re in an anti-struggle era of education. And it predates Covid. I think it made it worse during Covid. We front load too much. We pre-teach too much. We reduce struggle. We quote, “over-differentiate” for students. And there’s value in struggle. The phrase, “productive struggle” — if you haven’t heard it, Google productive struggle — it’s an interesting concept, that we actually learn more when we engage in this productive struggle. Now, productive struggle originally came from the math world, and it was this idea that it’s worth struggling through things to learn from it, that you’re likely to get it wrong, and then there was productive success. And there are times when we want students to experience success and we make sure we put things in place for productive success. But there are times where we want them to struggle through a concept. ‘Cause it feels pretty amazing when you get on the other side, when you know you struggled and you get to the other side. If you think about the things, listeners, think about the things in your life where you struggled through it and you are most proud of what you accomplished. I want students to have that. I don’t wanna eliminate scaffolding, eliminate differentiation. But I do want some regular doses of struggle. So if you look at the scaffolding, we have a couple choices. We have front-end scaffolds, distributed scaffolds, and back-end scaffolds. Right now we mostly use front-end scaffolds: We pre-teach, we tell students words in advance, that kind of stuff. But what if we refrained from only using front-end scaffolds, and we use more distributed scaffolds, when they encounter. So there’s a difference between “just in case” and “just in time” support for students. So we tend to plan on the “in advance, here are all the things we’re gonna do to remove the struggle before students encounter the struggle.” What if instead we said, “Let them encounter some struggle. Here’s the supports we’re gonna provide. We’re gonna watch; we’re gonna remove those scaffolds, and allow them to have an experience of success, where they realize, ‘I did it. I got it.’” Every science teacher I’ve ever worked with, when they do an experiment or a lab or simulation, they are looking for productive struggle. They don’t tell the answers in advance. They don’t tell if the answers are right. That’s your data. What does your data tell you? I mean, this is what you do. But then the other part of your day when you move into, like, reading, you don’t do that. You fall into the trap of removing struggle. And so allow them to grapple with ideas. Allow them to wonder what words mean. Allow them to say, “I’m not getting this, teacher! It’s really frustrating!” And you say, “Yeah, this is really hard. This is why we’re doing it at school. ‘Cause it’s really hard. If it was easy, I’d have you do it at home. But we’re doing it here, ’cause it’s really hard and it’s OK not to get it at first.” And create a place where errors are seen as opportunities to learn, and struggling through ideas and clarifying your own thinking and arguing with other people to reach an agreement or reach a place where we agree to disagree is part of the power of learning.

Eric Cross (40:38):

There’s a teacher, who I took this from. My master teacher when I was student teaching. And she said that there’s no such thing as failure in science, just data. And I took that same mantra. And I resonate with what you said about how science teachers, all of us, hold onto that productive struggle, because it’s part of being a scientist. It’s part of the experiments. That genuine “aha” moment. Or it didn’t work out? That’s great! That’s totally fine! Let’s write about it and let’s take photos and let’s publish it and let’s be scientists. That’s totally true. As we wrap up, Dr. Fisher, is there any final message that you have to listeners about bringing science and literacy together? I know you speak everywhere, but for everyone that’s listening, if you can put out your encouragement or message or suggestion … you’ve given so many great tips and practical applications. But, any final thoughts on the subject?

Douglas Fisher (41:32):

I think many science teachers are intimidated because they think they have to be reading teachers. And there’s a knowledge base to reading. And some teachers are reading teachers and science teachers, and I don’t wanna dismiss that. But it’s not that you have to become a reading specialist to integrate literacy into science. It’s how our brains work. And so as you think about the way in which you are learning and the ways in which you want your students to learn, what role does language play? What role does speaking, listening, reading, writing, viewing, play in your class? And then provide opportunities for students to do those five things each time you meet with them.

Eric Cross (42:12):

Dr. Fisher, thank you so much for being here and for your encouragement, and sharing your wisdom and experience. And then personally serving my city, here in San Diego, and my students, when they make it to your high school and ultimately the alma mater of San Diego State University.

Douglas Fisher (42:30):

That’s right.

Eric Cross (42:31):

Yeah. We really, really appreciate you in serving all kids and lifting the bar and making things more equitable for all students. And encouraging teachers. So thank you.

Douglas Fisher (42:39):

Thank you very much.

Eric Cross (42:42):

Thanks so much for listening to my conversation with Dr. Douglas Fisher, Professor and Chair of Educational Leadership at San Diego State University. Check out the show notes for links to some of Doug’s work, including the book he co-authored titled Reading and Writing in Science: Tools to Develop Disciplinary Literacy. Please remember to subscribe to Science Connections so that you can catch every episode in this exciting third season. And while you’re there, we’d really appreciate it if you can leave us a review. It’ll help more listeners to find the show. Also, if you haven’t already, please be sure to join our Facebook group, Science Connections: The Community. Next time on the show, we’re going to continue exploring the happy marriage between science and literacy instruction.

Speaker  (43:26):

I had this moment of realization I felt a few months ago: I’m like, if I don’t teach them how to use the AI as a tool, as a collaborator, then they’re gonna graduate into a world where they lose out to people who do know how to do that.

Eric Cross (43:39):

That’s next time on Science Connections. Thanks so much for listening.

Stay connected!

Join our community and get new episodes every other Wednesday!

We’ll also share new and exciting free resources for your classroom every month!

What Dr. Douglas Fisher says about science

“There are really cool opportunities when teachers come together and realize we can work together to improve the literacy and learning of all our students.”

– Dr. Doug Fisher

Professor and Chair of Educational Leadership, San Diego State University

Meet the guest

Douglas Fisher, Ph.D., is professor and chair of Educational Leadership at San Diego State University and a leader at Health Sciences High & Middle College having been an early intervention teacher and elementary school educator. He is the recipient of an International Reading Association William S. Grey citation of merit, an Exemplary Leader award from the Conference on English Leadership of NCTE, as well as a Christa McAuliffe award for excellence in teacher education. He has published numerous articles on reading and literacy, differentiated instruction, and curriculum design as well as books, such as The Restorative Practices PlaybookPLC+: Better Decisions and Greater Impact by DesignBuilding Equity, and Better Learning Through Structured Teaching.

A middle-aged man with short light brown hair and glasses, wearing a white shirt and dark blazer, in a circular frame with a green accent and simple graphic elements.
A laptop screen displays the “Science Connections: The Community” private group page, with science-themed icons decorating the background and edges.

About Science Connections

Welcome to Science Connections! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher. 

Welcome to Transitional Kindergarten

BACK TO MAIN TK–5 PAGE

Amplify Science California jump-starts a lifelong love of science with developmentally and pedagogically appropriate instruction featuring:

  • Real-world problems and scientific phenomena.
  • An experiential approach with lots of hands-on.
  • Explicit support for building oral language and early literacy skills.
A collage of four images: children doing a science experiment, a tree in a park, stacked building blocks and toys, and a child splashing water near a storm drain.

What students learn

Our program is comprised of three units: one life science, one physical science, one Earth science.

As students take on the role of a scientist or engineer to figure out real-world phenomenon, each unit:

  • Sparks curiosity and engagement.
  • Encourages students to wonder, think, and talk.
  • Builds a solid foundation for future success with science.

Look below for a summary of each unit.

A person helps a child with a ponytail. Another child examines a yellow flower using a magnifying glass. Caption reads Story of the Noisy Tree and describes children's curiosity and exploration.
Unit 1
Illustration of a vibrant park with a winding path, lush trees, and animals like squirrels and birds in a large tree.

Unit: Wondering About Noises in Trees

Student role: Life scientists

Phenomenon: Strange noises appear to be coming from the trees outside.

Unit 2
Colorful 3d illustration of various imaginative structures built with blocks, rings, and other toy components on a grassy area with a blue sky and clouds background.

Unit: Wondering About Buildings

Student role: Building engineers

Phenomenon: One class made a play city. Some of the buildings stayed up, while others fell down.

Unit 3
A child in yellow shirt and orange boots skipping over a puddle on a sidewalk next to a grassy area and a stream.

Unit: Wondering About Puddles

Student role: Weather scientists

Phenomenon: Puddles exist in some places but not in other places along a girl’s walk to school

Program structure

To meet the unique needs of little learners, our program follows a unique structure.

Each unit:

  • Begins with an Introductory Activity that
    introduces the phenomenon.
  • Includes a series of three Explorations that are comprised of a Kickoff Discussion, four activities, and a Shared Drawing and Discussion.
  • Ends with a Culminating Activity that consolidates students’ understanding.

Each activity is designed to span 15 minutes. Depending on how the program is implemented, an entire unit generally takes 4–6 weeks.

Diagram of tk curriculum structure, including life science, physical science, and earth science units, with detailed breakdowns of unit and exploration structures.

How teachers teach

When you’re ready, scroll down to take a closer look at sample resources.

Cover of a transitional kindergarten teacher guide for a life science module titled "wondering about noises in trees," featuring an illustrated scene with trees and animals.

Printed Teacher’s Guide

Our unit-specific Teacher’s Guides are chock full of helpful resources, including scientific background knowledge, planning information and resources, detailed lesson plans, tips for delivering instruction, differentiation strategies, additional classroom resources, and copymasters.

Teacher’s Guide

Girl listening to a tree trunk, book cover titled the noisy tree by ashley chose, with an orange background.

Big Books

Big Books contain vivid photographs and are used to introduce topics, facilitate group discussions, and support students’ firsthand investigations. Each Big Book is an integral part of instruction and is used multiple times for multiple purposes across a unit.

Big Book

Stack of white papers with a primary visible one labeled science question 1: why are so many noises coming from the tree? in black text.

Science Questions

Each unit includes three printed Science Question cards, one for each Exploration of the unit. The cards can be posted on classroom walls and support the class as they are introduced to and revisit the focus of their investigations over the course of an Exploration and, ultimately, the unit.

Two magazine cover mockups with the word scientist on the left and a tree photo on the right, both against a white background.

Vocabulary and Picture Cards

Each unit includes six or seven printed Vocabulary Cards and a set of colorful Picture Cards that can be posted on classroom word walls and concept walls. Cards are used for a variety of purposes, including gathering evidence, building background knowledge, and introducing the focal phenomenon.

Welcome, California Reviewers for 6–8!

BACK TO WELCOME PAGE

We’re so honored you’re considering Amplify Science California—the #1 most adopted NGSS curriculum across the state.

  • It meets 100% of the NGSS.
  • It has demonstrated effectiveness across all student groups.
  • It helps students make the shift from learning about to figuring out scientific concepts.
  • It empowers students to think, read, write, and argue like real scientists and engineers each and every day.
  • It can flexibly adapt to remote and hybrid learning scenarios.
A person wearing safety goggles examines a glass of water. The background includes illustrations of space exploration, a rocket, a polar bear, and weather symbols such as clouds and raindrops.

Overview

Developed by UC Berkeley’s Lawrence Hall of Science, our program features:

  • phenomena-based approach where students construct a complex understanding of each unit’s anchor phenomenon.
  • A blend of cohesive storylines, hands-on investigations, rich discussions, literacy-rich activities, and digital tools.
  • Newly crafted units, chapters, lessons, and activities designed to deliver true 3-dimensional learning.
  • An instructional design that supports all learners in accessing all standards.

Hear what these educators have to say about the program. >

Explore your grade

Get started by watching this class share what they’re figuring out with Amplify Science. >

Select a grade level below to learn more about how we make rich learning accessible to all students at every grade.

Grades 6–8 Integrated

Grades 6–8 Domain

S5.E6. Why skepticism is essential to the Science of Reading, with Dr. Claude Goldenberg

To view this protected page, enter the password below:



A closer look at grades 3–5

Amplify Science is based on the latest research on teaching and learning and helps teachers deliver age-appropriate, high-quality, literacy-rich instruction that enables students to take on the roles of scientists and engineers to solve real-world phenomena every day.

In the 3–5 classroom, this looks like students:

  • Collecting evidence from a variety of sources.
  • Making sense of evidence in a variety of ways.
  • Formulating convincing scientific arguments.
Collage of four educational activities: 1) drying a paper model with a hairdryer, 2) two girls observing a science experiment, 3) children making a mixture, 4) adult hand watering a plant in a clear container.
Graphic showing a research process with four steps: spark intrigue with a real-world problem, explore evidence, explain and elaborate, and evaluate claims, connected in a cycle with arrows.

Program structure

Our cyclical lesson design ensures students receive multiple exposures to concepts through a variety of modalities. As they progress through the lessons within a unit, students build and deepen their understanding, increasing their ability to develop and refine complex explanations of the unit’s phenomenon.

It’s this proven program structure and lesson design that enables Amplify Science California to teach less, but achieve more. Rather than asking teachers to wade through unnecessary content, we designed our 3–5 program to address 100% of the California NGSS in just 88 days.

Scope and sequence

Every year of our grades 3–5 sequence consists of 4 units and 88 lessons. Said another way, each unit contains 20 lessons plus two dedicated assessment days (a Pre-Unit Assessment and End-of-Unit Assessment).

Lessons for grades 3–5 are written to last a minimum of 60 minutes, though teachers can expand or contract the timing to meet their needs.

Educational curriculum chart showcasing a progression of amplify science lessons from kindergarten to grade 5, categorized by grade and subject areas like plants, animals, weather, and energy.

Unit types

Each unit delivers three-dimensional learning experiences and engages students in gathering evidence from a rich collection of sources, while also emphasizing a particular science and engineering practice.

In grades 3–5:

  • One unit emphasizes the practice of investigation.
  • One unit emphasizes the practice of modeling.
  • One unit emphasizes the practice of engineering design.
  • One unit emphasizes the practice of argumentation.
Investigation Units

Investigation units focus on the process of strategically developing investigations and gathering data to answer questions. Students are first asked to consider questions about what happens in the natural world and why, and are then involved in designing and conducting investigations that produce data to help answer those questions.

Modeling Units

Modeling units provide extra support to students engaging in the practice of modeling. Students use physical models, investigate with computer models, and create their own diagrams to help them visualize what might be happening on the nanoscale.

Engineering Design Units

Engineering design units provide opportunities for students to solve complex problems by applying science principles to the design of functional solutions, and iteratively testing those solutions to determine how well they meet preset criteria.

Argumentation units

Argumentation units provide students with regular opportunities to explore and discuss available evidence, time and support to consider how evidence may be leveraged in support of claims, and independence that increases as they mount written arguments in support of their claims.

Units at a glance

Una ilustración de un tren de alta velocidad moderno y aerodinámico que viaja por una vía elevada con un paisaje verde de fondo.
Balancing Forces

Domain: Physical Science

Unit type: Modeling

Student role: Engineers

Phenomenon: The town of Faraday is getting a new train that floats above its tracks.  

Download unit guide

Download lesson planner

An illustration from the Inheritance and Traits unit
Inheritance and Traits

Domain: Life Science

Unit type: Investigation

Student role: Wildlife biologists

Phenomenon: An adopted wolf in Graystone National Park (“Wolf 44”) has some traits that appear similar to one wolf pack in the park and other traits that appear to be similar to a different wolf pack. 

Download unit guide

Download lesson planner

An illustration from the Environments and Survival unit
Environments and Survival

Domains: Life Science, Engineering Design

Unit type: Engineering design

Student role: Biomimicry engineers

Phenomenon: Over the last 10 years, a population of grove snails has changed: The number of grove snails with yellow shells has decreased, while the number of snails with banded shells has increased.  

Download unit guide

Download lesson planner

An illustration from the Weather and Climate unit
Weather and Climate

Domains: Earth and Space Science, Engineering Design

Unit type: Argumentation

Student role: Meteorologists

Phenomenon: Three different islands, each a contender for becoming an Orangutan reserve, experience different weather patterns.  

Download unit guide

Download lesson planner

An illustration from the Energy Conversions unit
Energy Conversions

Domains: Physical Science, Earth and Space Science, Engineering Design

Unit type: Engineering design

Student role: System engineers

Phenomenon: The fictional town of Ergstown experiences frequent blackouts.  

Download unit guide

Download lesson planner

An illustration from the Vision and Light unit
Vision and Light

Domain: Physical Science, Life Science, Engineering Design

Unit type: Investigation

Student role: Conservation biologists

Phenomenon: The population of Tokay geckos in a rain forest in the Philippines has decreased since the installation of new highway lights.  

Download unit guide

Download lesson planner

An illustration from the Earth's Features unit
Earth’s Features

Domain: Earth and Space Science

Unit type: Argumentation

Student role: Geologists

Phenomenon: A mysterious fossil is discovered in a canyon within the fictional Desert Rocks National Park.  

Download unit guide

Download lesson planner

An illustration from the Waves, Energy, and Information unit
Waves, Energy, and Information

Domains: Physical Science, Life Science, Earth and Space Science, Engineering Design

Unit type: Modeling

Student role: Marine scientists

Phenomenon: Mother dolphins in the fictional Blue Bay National Park seem to be communicating with their calves when they are separated at a distance underwater.

Download unit guide

Download lesson planner

An illustration from the Patterns of Earth and Sky unit
Patterns of Earth and Sky

Domains: Physical Science, Earth and Space Science

Unit type: Investigation

Student role: Astronomers

Phenomenon: An ancient artifact depicts what we see in the sky at different times — the sun during the daytime and different stars during the nighttime — but it is missing a piece.  

Download unit guide

Download lesson planner

An illustration from the Modeling Matter unit
Modeling Matter

Domain: Physical Science

Unit type: Modeling

Student role: Food scientists

Phenomenon: Chromatography is a process for separating mixtures. Some solids dissolve in a salad dressing while others do not. Oil and vinegar appear to separate when mixed in a salad dressing.  

Download unit guide

Download lesson planner

An illustration from the Earth System unit
The Earth System

Domains: Earth and Space Science, Physical Science, Engineering Design

Unit type: Engineering Design

Student role: Water resource engineers

Phenomenon: East Ferris, a city on one side of the fictional Ferris Island, is experiencing a water shortage, while West Ferris is not.  

Download unit guide

Download lesson planner

An illustration from the Ecosystem Restoration unit
Ecosystem Restoration

Domains:Physical Science, Life Science, Earth and Space Science, Engineering Design

Unit type: Argumentation

Student role: Ecologists

Phenomenon: The jaguars, sloths, and cecropia trees in a reforested section of a Costa Rican rain forest are not growing and thriving.  

Download unit guide

Download lesson planner

Resources for teachers: Bring the world to students with knowledge!

The Science of Reading shows that literacy develops best on a foundation of knowledge. In other words, the more you know, the easier and faster you learn!

The Amplify CKLA literacy curriculum intentionally builds students’ background and academic knowledge—along with comprehension strategies—that fuel their capacity to understand texts, answer questions, and grapple with ideas.

Explore resources for teachers from educators across the country who are bringing Amplify CKLA Knowledge Domains to life in their classrooms!

Children sit on a classroom rug, guided by the literacy curriculum, as a pirate character stands on a beach. Two cacti in a desert add to the scene, and two children interact at a table with resources for teachers.

Kindergarten

In kindergarten, students develop phonemic awareness with storybook characters like Zack and Ann Chang; draw a chart to identify different smells; learn about the Lenape, Wampanoag, and Lakota Sioux; and pay homage to classic nursery rhymes by jumping a candlestick.

An illustration featuring a green, one-eyed character with a hat in front of a farm scene with fields, a barn, a bird, and a pig. A red book lies open on the ground, suggesting an engaging literacy curriculum that brings stories to life.

Domain 1: Nursery Rhymes and Fables

To celebrate the end of the Nursery Rhymes and Fables unit, students participated in a Nursery Rhyme Olympics.

Credit: Kelly O’Connor, Huber Street Elementary School, NJ

BONUS VIDEO: Watch this video to see Nursery Rhyme Olympics in action!

Domain 2: The Five Senses

As a special activity for the Five Senses unit, students explored their sense of taste with a pop-up farmers market.

Credit: Debbie Braaten, Abraham Lincoln Elementary School, OH

BONUS VIDEO: Hear how Jamie Vannoy, a teacher in Wirt County, WV, plans a braille activity for this unit!

Domain 3: Stories

Kindergarteners worked in groups to construct houses using straw, sticks, and bricks to commemorate the reading of “The Three Little Pigs.”

Credit: Manal Abuhouran, Clarendon Elementary School, NJ

Domain 4: Plants

To apply their learning, students at Superior Elementary planted grass seeds at the beginning of the Plants unit, then cared for and observed the grass daily to ensure it flourished.

Credit: Emma Fynbu, Superior Elementary School, NE

Domain 5: Farms

To celebrate the Farms unit, students visited a local farm to study the equipment and farm animals!

Credit: Kirsten Tingley, Cumberland Valley School District, PA

Domain 6: Native Americans

To showcase their knowledge, students created a gallery walk that displays information about the Lakota Sioux, Wampanoag, and Lenape tribes.

Credit: Dalphne Harrison, Aldine ISD, TX

Domain 7: Kings and Queens

To mark the end of the Kings and Queens unit, this class hosted a royal tea party in the cafeteria, featuring cloaks and handmade crowns.

Credit: Chrystal Wise, Malvern School District, AR

Domain 8: Seasons and Weather

Teach your students more about seasons and weather: Invite your local meteorologist to visit, like this classroom did!

Credit: Chrystal Wise, Malvern School District, AR

Domain 9: Columbus and the Pilgrims

Students create illustrations of Columbus’s journey to present their knowledge for this unit!

Credit: Mandy Collins, Fayette County Public Schools, TN

Domain 10: Colonial Towns and Townspeople

As you wrap up this unit, take inspiration from this school: Make shop signs and tables to create your own colonial town!

Credit: Andrea Gatten, Propel Schools, PA

Domain 11: Taking Care of the Earth

We love this culminating activity! Students create awareness for a cause by creating persuasive signs, videos, and a class petition. This multimedia display shows them embracing the values of environmental stewardship.

Credit: Heather Keating, Gulliver Prep, FL

Domain 12: Presidents and American Symbols

To close the Presidents and American Symbols Domain, hold a sample election in your classroom! Create a voting booth, ballot box, ballot cards, election music, campaign posters, stickers, balloons, and confetti! Before announcing the winner, discuss the importance of voting, the voting process, what a campaign looks like, and what to look for in a great leader.

Credit: Andrea Gatten, Propel Schools, PA

Grade 1

In Grade 1, students sing about a fabulous fox, learn to tell the difference between fairy tale heroes and villains, write an opinion statement about the worst part of going to the moon, and learn ancient Egyptian techniques for mummifying an apple.

A person dressed as a pirate examines a large skull near a globe, reminiscent of resources for teachers planning an engaging activity. The background shows mountains and a body of water.

Domain 1: Fables and Stories

To celebrate the Fables and Stories domain, students participated in a “wolf in sheep’s clothing” race while teachers dressed as fable characters.

Credit: Brittany Sachs, Monon Trail Elementary School, IN

BONUS VIDEO: Hear how Brittany planned a Fable Olympics for her Grade 1 students!

Domain 2: The Human Body

To showcase their knowledge of the topic, students participated in a “hospital day.” The classroom was transformed to look like different operating rooms. Stations included blending and segmenting CVC words with Band-Aids, a Tricky Words eye exam, sentence writing, an X-ray light table, food sorting according to the food pyramid, and an operation game!

Credit: Erin Chester, Thompson Crossing Elementary School, IN

BONUS VIDEO: Erin explains how she planned the activity, and shows us snippets of the culminating activity in action.

Domain 3: Different Lands, Similar Stories

Take inspiration from this classroom and have your students create a Thumbelina floral craft to round out the unit’s celebration of folktales.

Credit: Elizabeth Sillies, Three Rivers Local School District, OH

Domain 4: Early World Civilizations

Looking for a culminating activity for this domain? Plan an ancient Egypt day filled with crafts and activities, including pyramid-making, writing in hieroglyphics, trying Egyptian food, and mask-making.

Credit: Camy Stirling, Brevard Academy, NC

BONUS VIDEO: Watch this short video about how to make pyramid-making easy in your classroom!

Domain 5: Early American Civilizations

Students can apply their learning about early American civilizations by creating their very own Moctezuma headdresses.

Credit: Emmett J. Hoops, Moriah Central School, NY

Domain 6: Astronomy

A surefire way to ignite your students’ excitement about astronomy is to create a moon phase Oreo chart!

Credit: Shelby Varchmin, Fred Wild Elementary School, FL

BONUS IDEA: Have your class send postcards to space through the Club for the Future program.

Domain 7: The History of the Earth

Students channeled their inner geologists during this unit and dug for rocks.

Credit: Ronda Scott, Dixon Public Schools, IL

Domain 8: Animals and Habitats

Students can express their creativity by drawing animals, plants, and environments on rocks, then sorting by habitats or comparing by Venn diagram.

BONUS: Check out these students’ creative and colorful dioramas that were showcased at the end of this unit!

Credit: Christine Thomas, The School District of Palm Beach County, FL

Domain 9: Fairy Tales

To wrap up the Fairy Tales unit, sharpen your students’ drama skills by having them act out their favorite stories.

Credit: Elizabeth Sillies, Three Rivers Local School District, OH

Domain 10: A New Nation: American Independence

Posters beautifully summarize the learning from a unit. Pair students up to create and present to their classmates!

Credit: Tracy Hatch Gagnon, Holy Name Parish School, MA

Domain 11: Frontier Explorers

Students can celebrate this unit by hosting a Pioneer Day and making Daniel Boone hats!

Credit: Shelby Varchmin, Fred Wild Elementary School, FL

Grade 2

In Grade 2, students thrill to the crimes of the Cat Bandit, assemble books about ancient Chinese culture, write their own Greek myths, and learn the story of the people who escaped to freedom from slavery by “follow[ing] the Drinking Gourd.”

Cartoon wizard with a white beard and star-patterned hat holding a small dragon, standing in front of a house in a desert setting. A large feather quill, perfect for drafting a literacy curriculum, is in the foreground.

Domain 1: Fairy Tales and Tall Tales

To celebrate the end of the Fairy Tales and Stories Unit, encourage students to showcase their favorite stories by crafting paper collages and clay figures.

Credit: Jessica Berg, Arlington Public Schools, VA

Domain 2: Early Asian Civilizations

Second-grade teachers worked together to create an amazing dragon at the end of their Early Asian Civilizations Unit. Each student created a scale for their grade-level dragon!

Credit: Emma Bridgeforth, Windsor Elementary School, WI

BONUS: This class at Windber Elementary, PA, celebrated this unit by hosting a Chinese New Year dragon parade.

Domain 3: The Ancient Greek Civilization

This class had a great time becoming world travelers and celebrating all the knowledge gained throughout the Ancient Greek Civilization domain. The students started their day getting their passport stamped. After entering ancient Greece, they engaged in many centers. They built the Parthenon and Athena’s throne, wrote facts about Sparta, created locks for Pandora’s box, built a harp for Apollo, and played vocabulary games. In addition to centers, the students learned that they all qualified for the Olympics, and were led by teachers on a victory walk as the entire school cheered for them!

BONUS: Take inspiration from this Louisiana educator and plan a potato Olympics day with your students!

Credit: Terri Hart, Jefferson Parish Public School District, LA

Domain 4: Greek Myths

Students wrote and shared their very own Greek myths, made props, and dressed in togas to celebrate this unit!

Credit: Chelsey Steinmetz, Cornell Elementary School, WI

Domain 5: The War of 1812

Bring a battle to life by having students create boats out of foil and other common household materials to participate in a boat race!

Credit: Jerica Falevai, Pacific Heritage Academy, UT

Domain 6: Cycles in Nature

To bring the Cycles in Nature unit to life, students learned how to make their own greenhouses and watched lima beans germinate and sprout.

Credit: Amber Taylor, Corbin Primary School, KY

Domain 7: Westward Expansion

To commemorate the end of this domain, this class had two grandparents come to the classroom to bake bread, make trail mix, and pan for gold.

BONUS: In another classroom, students made people, animals, and their very own pioneer wagons out of paper.

Credit: Jennifer Murphy, John E. Bryan Elementary School, AL

Domain 8: Insects

These students celebrated all the knowledge they gained by researching and writing about an insect, then using household items to build a model of their chosen insect!

Credit: Tamara Gore, Harrison Hill Elementary School, IN

Domain 9: The U.S. Civil War

Have your students showcase their knowledge of the U.S. Civil War by creating posters of important historical figures of the time!

Credit: Heather Griffin, Rochester School District, NH

Domain 10: The Human Body

We love this culminating activity! Students made digestive-system models out of air-dry clay and traced themselves on large paper to make a life-size model of the body systems!

Credit: Olga Cabrera, Aldine ISD, TX

Domain 11: Immigration

Students participated in an Ellis Island simulation in their classrooms at the end of the Immigration Unit, and even created their own passports!

Credit: Sandra Garcia, Austin Independent School District, TX

Domain 12: Fighting for a Cause

To wrap up this unit and showcase their knowledge, students created VIP books about important historical figures!

Credit: Meghan Scheffler, Community Unit School District 300, IL

Grade 3

In Grade 3, students write a newspaper story about the invention of the telephone, go on a digital quest with Viking explorers, reflect on the stars with astronomy lab notes, and learn the secret to writing an excellent narrative ending.

Illustration of a person in ancient Roman attire with a large bird flying over a mountainous landscape, perfect for enhancing any literacy curriculum or activity plan. This image serves as an engaging resource for teachers to illustrate historical contexts vividly.

Domain 1: Classic Tales: The Wind in the Willows

To immerse themselves in the Classic Tales domain, students hosted a party inspired by classic literary celebrations.

Credit: Laurie Valente, Secaucus Public School District, NJ

Domain 2: Animal Classification

A great way to shift perspective and get students to apply their knowledge? Transform your classroom into a vibrant “rainforest café” that showcases students’ published writing. Each student can create an informational piece about a specific vertebrate, learning how to introduce a topic, group related information, and support it with facts and details. They turn their writing, complete with text features, into restaurant-style menus! Dressed as rainforest and safari guides, students can present their work to other students and staff, answering questions about their animal and its classification.

Credit: Nicole Desmond, Riverside School District 96, IL

BONUS: To celebrate the Light and Sound unit as well as all units about animals in grades K–4, take a cue from Windber Elementary and plan an animal-themed glow show with your students!

Domain 3: Human Body

Get crafty in this unit by having students make body parts out of household supplies: a pipe cleaner becomes the spinal cord, noodles represent the vertebrae, and gummy Life Savers turn into cartilage. You can also make X-rays by tracing hands and wrists on construction paper. Students can color around the bones with a dark crayon, then use vegetable oil and a Q-tip to “paint” the bones. When held up to a light, the project resembles an X-ray!

Credit: Crystal Chwatek, Muhlenberg Elementary Center, PA

Domain 4: The Ancient Roman Civilization

Have your students put their knowledge of ancient Roman civilization to the test: Challenge them to use packing peanuts to build iconic Roman landmarks.

Credit: Melissa Vasquez, Eureka City Schools,CA

Domain 5: Light and Sound

To celebrate the Light and Sound unit, your students can make colorful suncatchers and witness the science of light and color in action.

Credit: Stephanie Schuettpelz, Marion Elementary School, WI

BONUS VIDEO: Watch how another teacher plans a black light party for this unit!

Domain 6: The Viking Age

CKLA students love Vikings! In this classroom, students made paper swords before participating in a special ceremony.

Credit: Kerri Lintl, Merrimac Community School, WI

Domain 7: Astronomy

As a culminating activity for the Astronomy unit, an Oreo moon phase exercise really motivates students to apply their knowledge.

Credit: Stephanie Schuettpelz, Marion Elementary School, WI

Domain 8: Native Americans

Flex your students’ creativity at the end of the Native Americans unit by having them gather natural materials and creating Native American shelters!

Credit: Alisa Byrd Fesmire, Roane County Schools, TN

BONUS VIDEO: Hear how a teacher in Wisconsin plans a basket-weaving activity for her students during this unit!

Domain 9: Early Explorations of North America

To help your students visualize North American exploration, they can draw maps of the studied expeditions and use yarn to show the various routes!

Credit: Maria Woytko-Morris, Manitou Springs School District, CO

Domain 10: Colonial America

Take inspiration from this classroom and set up a colonial town where students can barter goods and work as apprentices at the general store, blacksmith, tailor shop, and cobbler shop.

Credit: Heidi Graci, Sporting Hill Elementary School, PA

Domain 11: Ecology

For this unit, these students practiced their speaking and listening skills by presenting about an endangered animal to the rest of the class.

Credit: Stephanie Schuettpelz, Marion Elementary School, WI

Grade 4

In Grade 4, students take part in a dramatic invention competition judged by Thomas Edison, George Washington Carver, and Hedy Lamarr; use writing to investigate the function of a mysterious contraption; become poets; and bring their reading skills to bear on the classic novel Treasure Island.

Illustration of a woman holding architectural blueprints, standing in front of a medieval village landscape with scattered huts, fields, and a river. Two closed books titled "Resources for Teachers" float in the top right corner.

Domain 1: Personal Narratives

To celebrate the Personal Narratives domain, students created posters using information about their names.

Credit: Daphne Long, Steele Elementary School, AL

BONUS VIDEO: Hear how an educator in New York plans an engaging culminating activity for the Personal Narratives unit!

Domain 2: Empires in the Middle Ages

Flex your students’ creativity: Have them create their very own shields and write a paragraph describing them.

Credit: Elisabeth Freligh, Spring Hill Elementary School, AK

BONUS VIDEO: See how students in Minnesota participated in a stained glass art project to celebrate the Middle Ages.

Domain 3: Poetry

Empower students to apply their knowledge of this writing discipline with poetry journals.

Credit: Elizabeth Sillies, Three Rivers Local School District, OH

Domain 4: Eureka! Student Inventor

Encourage students to showcase their innovation at an Invention Showcase! Here, they pitched their ideas using the slides they created and the models they made.

Credit: Daniella Cucunato, Merchantville School District, NJ

Domain 5: Geology

Geology offers great opportunities to facilitate hands-on learning! Students can examine rocks and fossils, or bust geodes to supplement their lessons.

Credit: Spring Choate, Overton County Schools, TN

Domain 6: Contemporary Fiction

Students can take their favorite stories off the page in this unit! For example, lead students in a craft activity creating their own house inspired by The House on Mango Street.

Credit: Lara Andree, Aldine ISD, TX

Domain 7: American Revolution

Work a STEM activity into this Knowledge Domain by inviting students to recreate the Boston Tea Party with sticks and items of various weights.

Credit: Maureen Elliott, West Irondequoit CSD, NY

Domain 8: Treasure Island

To celebrate the end of the Treasure Island domain collaboratively, students can build their very own map sections and put them together.

Credit: Daphne Long, Steele Elementary, AL

Grade 5

In Grade 5, students learn about villanelles and Mayan codices, read and perform Shakespeare’s “A Midsummer Night’s Dream,” use their writing skills to teach a robot about human emotions, and solve a scientific mystery involving ancient fossils.

A woman in a pink dress stands near an ancient pyramid with a night forest and river in the background, symbolizing the timeless resources for teachers that bridge history and nature.

Domain 1: Personal Narratives

Have your students refine their personal narratives into graphic stories to celebrate the end of this unit.

Credit: Anna Barba, Arlington Traditional School, VA

BONUS VIDEO: Hear how a teacher plans name posters for her students to wrap up this domain.

Domain 2: Early American Civilizations

To celebrate this unit, have your students create codices and Mayan mythical character sculptures using clay!

Credit: Anita Trolese, TASIS Portugal

Domain 3: Poetry

Transform your classroom into a poetry café where students share their work with the rest of the class.

Credit: K.D. Meucci, Bethel Park School District, PA

Domain 4: Adventures of Don Quixote

These students are an inspiration! To celebrate they reenacted scenes from Adventures of Don Quixote by choosing a chapter, summarizing its plot, writing scripts, and acting out their chapter for their classmates. They even chose their own backdrops and props to help embody the characters.

Credit: Riley Montgomery, Hamilton Local School District, OH

Domain 5: The Renaissance

The arts and the Renaissance go hand in hand, so have your students get creative and create their own Leonardo da Vinci portraits.

Credit: Windber Elementary, PA

Domain 6: The Reformation

Immerse your students in the Reformation era by having them make stamps and write out some text as a great way to mimic the effect of the printing press!

Credit: Jessica Kingery, Jefferson City School District, MO

Domain 7: A Midsummer Night’s Dream

Turn your classroom into a theater for this unit and have your students read the play using character cards and donkey headbands.

Credit: Daphne Long, Steele Elementary, AL

Domain 8: Native Americans

A successful extension project for the ​​Native Americans unit is personal totem poles! Have your students determine their own personal totems, write paragraphs to explain totem poles and why they selected their own personal totems, and use a template to create their own totem pole.

Credit: Kristin Rea, Cicero School District 99, IL

Domain 9: Chemical Matter

A great way to bring knowledge to life in this unit? Make fossils out of clay molds!

Credit: Teresa Karney, Reese Public Schools, MI

Want to learn more about our Science of Reading literacy curriculum?

What is a professional learning specialist (PLS)?

About this role

Amplify professional learning specialists deliver professional development for educators that drives change, leading to increased and effective use of our Amplify programs and positive impacts on students’ learning. New professional learning specialists:

  • Are selected and supported by Amplify.
  • Receive onboarding and become certified with an Amplify program, with opportunities to extend product certifications throughout the year.
  • Deliver virtual and on-site sessions for schools and districts throughout the country.

Dive deeper into the responsibilities, requirements, and compensation of the professional learning specialist role within the professional learning specialist overview flipbook!

Why join?

The PLS advantage

Professional development for educators is one of the most powerful levers to shift learning, action, and beliefs. 

As a professional learning specialist, you’ll be able to impact educators—and, ultimately, students—nationwide and see how schools across the country are driving success. Over time, you’ll also deepen your facilitation and leadership skills and build relationships with fellow professional learning specialists who are current or former educators.

Uncover additional advantages of being in the professional learning specialist network (pages 714).

Two women, one middle-aged and one younger, working together on a laptop in a library, with two other people in the background.

Is this right for me?

Becoming a PLS is ideal for:

Current educators*Former educatorsRetired educators
who want to gain a new perspective and develop leadership and adult facilitation skills.who are seeking part-time, contract work and a more flexible schedule.who want to stay connected to a network of education leaders and continue to make an impact.

*Must be available to onboard in May or June and facilitate on-site sessions from July through August.

Further evaluate if this is the right role for you (pages 25–29).

This year, nearly 30% of our professional learning specialists were current educators and 70% were former or retired educators. While our professional learning specialists are in different places within their classroom or educational leadership careers, they all have several key qualities in common. These include:

  • A deep knowledge of high-quality instruction and adult learning principles.
  • The drive to be a strong colleague and team player.
  • Proven excellence in delivering in-person and online professional development.
  • Exceptional customer service skills.
  • High comfort with navigating ambiguity and responding confidently to in-the-moment challenges.

Access more detailed requirements of the role (pages 16–29).

Apply now

Are you interested in helping shape professional development for educators?

Review the job descriptions for our current roles Professional Learning Specialist, Bilingual Literacy and Professional Learning Specialist, Literacy or STEM.

A closer look at grades 3–5

Amplify Science is based on the latest research on teaching and learning and helps teachers deliver age-appropriate, high-quality, literacy-rich instruction that enables students to take on the roles of scientists and engineers to solve real-world phenomena every day.

In the 3–5 classroom, this looks like students:

  • Collecting evidence from a variety of sources.
  • Making sense of evidence in a variety of ways.
  • Formulating convincing scientific arguments.
Collage of four educational activities: 1) drying a paper model with a hairdryer, 2) two girls observing a science experiment, 3) children making a mixture, 4) adult hand watering a plant in a clear container.
Graphic showing a research process with four steps: spark intrigue with a real-world problem, explore evidence, explain and elaborate, and evaluate claims, connected in a cycle with arrows.

Program structure

Our cyclical lesson design ensures students receive multiple exposures to concepts through a variety of modalities. As they progress through the lessons within a unit, students build and deepen their understanding, increasing their ability to develop and refine complex explanations of the unit’s phenomenon.

It’s this proven program structure and lesson design that enables Amplify Science California to teach less, but achieve more. Rather than asking teachers to wade through unnecessary content, we designed our 3–5 program to address 100% of the California NGSS in just 88 days.

Scope and sequence

Every year of our grades 3–5 sequence consists of 4 units and 88 lessons. Said another way, each unit contains 20 lessons plus two dedicated assessment days (a Pre-Unit Assessment and End-of-Unit Assessment).

Lessons for grades 3–5 are written to last a minimum of 60 minutes, though teachers can expand or contract the timing to meet their needs.

Educational curriculum chart showcasing a progression of amplify science lessons from kindergarten to grade 5, categorized by grade and subject areas like plants, animals, weather, and energy.

Unit types

Each unit delivers three-dimensional learning experiences and engages students in gathering evidence from a rich collection of sources, while also emphasizing a particular science and engineering practice.

In grades 3–5:

  • One unit emphasizes the practice of investigation.
  • One unit emphasizes the practice of modeling.
  • One unit emphasizes the practice of engineering design.
  • One unit emphasizes the practice of argumentation.
Investigation Units

Investigation units focus on the process of strategically developing investigations and gathering data to answer questions. Students are first asked to consider questions about what happens in the natural world and why, and are then involved in designing and conducting investigations that produce data to help answer those questions.

Modeling Units

Modeling units provide extra support to students engaging in the practice of modeling. Students use physical models, investigate with computer models, and create their own diagrams to help them visualize what might be happening on the nanoscale.

Engineering Design Units

Engineering design units provide opportunities for students to solve complex problems by applying science principles to the design of functional solutions, and iteratively testing those solutions to determine how well they meet preset criteria.

Argumentation units

Argumentation units provide students with regular opportunities to explore and discuss available evidence, time and support to consider how evidence may be leveraged in support of claims, and independence that increases as they mount written arguments in support of their claims.

Units at a glance

Una ilustración de un tren de alta velocidad moderno y aerodinámico que viaja por una vía elevada con un paisaje verde de fondo.
Balancing Forces

Domain: Physical Science

Unit type: Modeling

Student role: Engineers

Phenomenon: The town of Faraday is getting a new train that floats above its tracks.  

Download unit guide

Download lesson planner

An illustration from the Inheritance and Traits unit
Inheritance and Traits

Domain: Life Science

Unit type: Investigation

Student role: Wildlife biologists

Phenomenon: An adopted wolf in Graystone National Park (“Wolf 44”) has some traits that appear similar to one wolf pack in the park and other traits that appear to be similar to a different wolf pack. 

Download unit guide

Download lesson planner

An illustration from the Environments and Survival unit
Environments and Survival

Domains: Life Science, Engineering Design

Unit type: Engineering design

Student role: Biomimicry engineers

Phenomenon: Over the last 10 years, a population of grove snails has changed: The number of grove snails with yellow shells has decreased, while the number of snails with banded shells has increased.  

Download unit guide

Download lesson planner

An illustration from the Weather and Climate unit
Weather and Climate

Domains: Earth and Space Science, Engineering Design

Unit type: Argumentation

Student role: Meteorologists

Phenomenon: Three different islands, each a contender for becoming an Orangutan reserve, experience different weather patterns.  

Download unit guide

Download lesson planner

An illustration from the Energy Conversions unit
Energy Conversions

Domains: Physical Science, Earth and Space Science, Engineering Design

Unit type: Engineering design

Student role: System engineers

Phenomenon: The fictional town of Ergstown experiences frequent blackouts.  

Download unit guide

Download lesson planner

An illustration from the Vision and Light unit
Vision and Light

Domain: Physical Science, Life Science, Engineering Design

Unit type: Investigation

Student role: Conservation biologists

Phenomenon: The population of Tokay geckos in a rain forest in the Philippines has decreased since the installation of new highway lights.  

Download unit guide

Download lesson planner

An illustration from the Earth's Features unit
Earth’s Features

Domain: Earth and Space Science

Unit type: Argumentation

Student role: Geologists

Phenomenon: A mysterious fossil is discovered in a canyon within the fictional Desert Rocks National Park.  

Download unit guide

Download lesson planner

An illustration from the Waves, Energy, and Information unit
Waves, Energy, and Information

Domains: Physical Science, Life Science, Earth and Space Science, Engineering Design

Unit type: Modeling

Student role: Marine scientists

Phenomenon: Mother dolphins in the fictional Blue Bay National Park seem to be communicating with their calves when they are separated at a distance underwater.

Download unit guide

Download lesson planner

An illustration from the Patterns of Earth and Sky unit
Patterns of Earth and Sky

Domains: Physical Science, Earth and Space Science

Unit type: Investigation

Student role: Astronomers

Phenomenon: An ancient artifact depicts what we see in the sky at different times — the sun during the daytime and different stars during the nighttime — but it is missing a piece.  

Download unit guide

Download lesson planner

An illustration from the Modeling Matter unit
Modeling Matter

Domain: Physical Science

Unit type: Modeling

Student role: Food scientists

Phenomenon: Chromatography is a process for separating mixtures. Some solids dissolve in a salad dressing while others do not. Oil and vinegar appear to separate when mixed in a salad dressing.  

Download unit guide

Download lesson planner

An illustration from the Earth System unit
The Earth System

Domains: Earth and Space Science, Physical Science, Engineering Design

Unit type: Engineering Design

Student role: Water resource engineers

Phenomenon: East Ferris, a city on one side of the fictional Ferris Island, is experiencing a water shortage, while West Ferris is not.  

Download unit guide

Download lesson planner

An illustration from the Ecosystem Restoration unit
Ecosystem Restoration

Domains:Physical Science, Life Science, Earth and Space Science, Engineering Design

Unit type: Argumentation

Student role: Ecologists

Phenomenon: The jaguars, sloths, and cecropia trees in a reforested section of a Costa Rican rain forest are not growing and thriving.  

Download unit guide

Download lesson planner

Welcome, Arkansas educators!

We are excited to introduce Amplify Core Knowledge Language Arts (CKLA) 3rd Edition, now an Arkansas-approved HQIM core literacy program within Amplify’s literacy suite. For more than a decade, Amplify CKLA has transformed classrooms nationwide with its intentional knowledge building and systematic skills instruction.

Rest assured that Amplify CKLA 2nd Edition remains a robust, trusted option, and our high-quality professional development and ever-growing PD Library of resources continue to be available to all CKLA partners.

Whether you’re continuing with the 2nd edition or exploring the 3rd, you’ve chosen a proven and research-based curriculum designed for lasting impact.  Together, let’s write the next chapter in the Science of Reading.

A correlation of the Arkansas English Language Arts Standards to Amplify CKLA 3rd Edition is now available!

An astronaut in space extending a hand toward the camera, with the moon in the background and a speech bubble containing “/oo/.”.

Amplify ckla servers

150,000+

Classrooms

4,000,000+

students

50+

us states and d.c.

Our approach

Improve outcomes with a program built on decades of research, that meets the strongest ESSA Tier I criteria.

A diagram showing the simple view of reading by combining language comprehension and word recognition at various levels, leading to expert reading.

Grounded in the Science of Reading

As the original Science of Reading program, Amplify CKLA puts research into action with explicit, systematic foundational skills instruction and a proven knowledge-building sequence. In collaboration with education experts and practitioners, we provide powerful resources that deliver real results.

Background knowledge drives results for Arkansas students

Amplify CKLA follows the Core Knowledge Sequence, a content-specific, cumulative, and coherent approach to knowledge building. This approach improves reading scores and closes achievement gaps by establishing a robust knowledge base that strengthens comprehension.

In Amplify CKLA 3rd Edition, we’ve enriched our Knowledge Sequence with a wider range of perspectives and high-quality texts in new and enhanced units.

A diagram shows the steps for learning a sound: hear /a/, say the sound, read "c-a-t," and write "cat" with a pencil, featuring a cartoon cat image.

Build foundational skills for long-term success.

Students progress from simple to complex skill development, starting with phonological and phonemic awareness. Instruction in Grades K–2 explicitly teaches the 150 spellings for the 44 sounds of English, following an intentional progression to ensure student success.

In our 3rd Edition, we’ve added dedicated Grade 3 foundational skills instruction that can either support core lessons or function as an intervention, based on student needs.

Daily writing deepens learning.

Grounded in the Science of Writing—the research on how kids learn to write—instruction is explicit, daily, and woven into the curriculum’s rich content. It covers both transcription (handwriting and spelling) and composition (organizing ideas into narratives) with high-impact activities like sentence-level combining and expanding, and pre-writing exercises. Writing and reading instruction are integrated, so students simultaneously strengthen their communication skills, comprehension, and confidence.

A young boy sits at a desk in a classroom, writing in a notebook with a pencil, while other students are visible in the background.
A laptop displays a children's story titled "Seth's Sled." Surrounding it are five book covers, including "Duke Ellington" and "Patricia's Vision.

High-quality texts

Amplify CKLA students are immersed in a variety of texts—complex read-alouds, decodable chapter books, trade books, and content-rich readers—that reflect varying experiences and backgrounds, and connect to learning goals.

Readers are 100% decodable for Grades K–2, empowering students to directly apply what they’ve learned. Novel Study units for Grades 3–5 offer a mix of contemporary and classic literature, and Culminating Research Units in every grade include a set of authentic texts and trade books.

Reach all learners with differentiated support.

Scaffolds and challenges, developed in collaboration with education experts, make content available to every student—including multilingual and English learners. With strategies embedded right in the curriculum, teachers can deliver in-the-moment, individualized instruction to meet all student needs.

For a dedicated English language development program aligned to Amplify CKLA, explore Language Studio.

Four children sit cross-legged on a classroom rug, two with hands raised. They appear engaged and attentive, with posters and shelves visible in the background.

What’s included

The comprehensive resources in Amplify CKLA 3rd Edition support effective literacy instruction in every classroom.

A laptop displaying an assessment report is surrounded by books, an astronaut illustration, and a large moon graphic on a white background.
A collection of educational materials, including spiral notebooks, textbooks, a lesson plan, and a laptop displaying an educational screen with the title "Let's Explore.

Easy-to-use teacher materials

Amplify CKLA teachers are empowered to deliver effective instruction with the following print and digital resources:

  • Teacher Guides (K–5)
  • Assessment Guides (K–5)
  • Authentic texts and trade books (K–5)
  • Knowledge Image Cards (K–2)
  • Knowledge Flip Books (K–2, digital)
  • Ready-made and customizable Presentation Screens (K–5, digital)
  • Remediation and intervention resources (K–5)
  • On-demand professional development (K–5, digital)

Immersive Amplify CKLA student resources

Amplify CKLA students stay engaged with the following print and digital resources:

  • Decodable readers (K–2)
  • Student Readers and novels (3–5)
  • Student Activity Books (K–5)
  • Poet’s Journal and Writer’s Journal (3–5)
  • eReaders (K–5, digital)
  • Sound Library featuring articulation videos and songs (K–2, digital)
  • Skill-building practice games (K–5)
A collage shows a poetry workbook, an open book with a dog illustration, a butterfly, and a laptop displaying a digital poem.
Six children's and young adult book covers arranged in two rows, featuring titles about animals, exploration, and adventure.

Rich literary experiences

The high-quality texts in Amplify CKLA foster students’ curiosity, reflect the wide variety of their backgrounds and experiences, and help them learn to read with confidence.

  • Trade Book Collections (K–5) inspire student research in each grade’s Culminating Research Unit.
  • Classic and contemporary literature (3–5) delights students in Novel Study Units.
  • Increasingly complex Student Readers (K–5) develop students’ literacy across grades.

Hands-on phonics materials

Multisensory phonics and foundational skills resources engage students with fun, varied approaches that promote mastery and build independence.

  • Chaining Folders and Small Letter Cards (K)
  • Read-Aloud Big Books (K–1)
  • Large Letter Cards (K–2)
  • Sound Cards (K–2)
  • Image Cards (K–3)
  • Blending Picture Cards (K)
  • Consonant and Vowel Code Posters and Spelling Cards (1–2)
  • Sound Library (K–2, digital)
A digital learning interface displays vowel sounds, word-building activities, and phonics flashcards, with an illustrated brown weasel on the right.

All-in-one digital platform

Our comprehensive platform simplifies your day-to-day tasks and makes it easier to plan and deliver lessons.

  • Ready-made and customizable Presentation Screens
  • Auto-scored digital assessments
  • Standards-based reporting
  • Assignable skill-building games
  • Sound Library
  • eReaders

Professional Development

We look forward to working alongside our Arkansas partners to build a strong foundation in Amplify CKLA. Our dedicated professional development team will continue collaborating with the ADE to provide job-embedded, on-site support that aligns with the Arkansas ELA standards and the Science of Reading.

Explore Amplify’s Effective PD Solutions

Two women sit indoors at a table; one is focused on her work while the other is smiling. Papers and a water bottle are visible in the foreground.
A circular flow chart titled

A true Science of Reading early literacy suite for Grades K–5

Amplify has combined the critical elements of a Science of Reading system: assessment, core curriculum, personalized learning, and intervention. Based on 20 years of experience with the Science of Reading, this complete system saves you time and aligns your literacy practices.

  • Assess with mCLASS®: A universal and dyslexia screener, powered by DIBELS® 8th Edition
  • Instruct with Amplify CKLA: Core curriculum to build foundational skills and knowledge
  • Practice with Boost Reading: Personalized learning program to extend and reinforce core
  • Intervene with mCLASS Intervention: Staff-led Tier 2 and 3 intervention for intensive support

Language Studio: Multilingual and English learner support

Language Studio is Amplify CKLA’s dedicated K–5 program for multilingual and English learners. Through daily 30-minute lessons, it strengthens reading, writing, speaking, and listening skills while reinforcing core instruction. This tailored support empowers students to confidently access grade-level content as they develop academic English.

A young girl immerses herself in the science of reading at a classroom desk, surrounded by peers and diverse educational materials.

Explore more programs in Amplify’s literacy and biliteracy suite.

All of the programs in our literacy suite and our biliteracy suite are designed to support and complement each other. Learn more about our related programs:

Get a demo

Fill out this form and your Account Executive Paige Benoy will contact you to set up a demo, send samples, or answer questions about Amplify CKLA.

A woman with straight blonde hair smiles outdoors, standing in front of steps and greenery. She is wearing a patterned top.

Paige Benoy
Arkansas Account Executive
pbenoy@amplify.com

Welcome, Middle School Science Reviewers!

Thank you for taking the time to review Amplify Science for grades 6–8. On this site, you’ll find all the resources you need to learn more about this engaging and robust NGSS program. Plus, we make it easy to experience our program firsthand with a live demo account that features our interactive learning platform.

A person in protective glasses examines a glass of water, surrounded by illustrations of a rocket, telescope, polar bear, clouds, rain, and moon phases on a colorful abstract background.

Overview

With Amplify Science, students don’t just passively learn about science concepts.

No matter where your students are learning—whether at school or at home—they take on the role of scientists and engineers to actively investigate and make sense of real-world phenomena. They do this through a blend of cohesive and compelling storylines, hands-on investigations, collaborative discussions, literacy-rich activities, and interactive digital tools.

Listen to these educators share how the program empowers students to think, read, write, and argue like real scientists and engineers every day.

EdReports All-Green

Amplify Science for grades K–8 has been rated all-green by EdReports.

Read the review on EdReports.

A boy stirs a clear liquid in a plastic cup while a girl smiles beside him in a classroom with students and a teacher in the background. EdReports badge is overlaid in the corner.

Program structure

Our cyclical lesson design ensures students receive multiple exposures to concepts through a variety of modalities.

As they progress through the lessons within a unit, students build and deepen their understanding, increasing their ability to develop and refine complex explanations of the unit’s phenomenon. It’s this proven program structure and lesson design that enables Amplify Science to address 100% of the NGSS in fewer days than other programs.

Graphic showing a research process with four steps: spark intrigue with a real-world problem, explore evidence, explain and elaborate, and evaluate claims, connected in a cycle with arrows.

Unit Sequence

Our lessons follow a structure that is grounded in regular routines while still being flexible enough to allow for a variety of learning experiences.
 
In fact, our multi-modal instruction offers more opportunities for students to construct meaning, and practice and apply concepts than any other program. What’s more, our modular design means our units can be flexibly arranged to support your instructional goals.

Collage of four images: a watercolor desert scene, three kids examining a gadget, a hand placing beads into a container, and a woman in a sunhat in a stylized field.
Abstract art with vibrant colors featuring a yellow silhouette of a person holding a book against a background of geometric shapes, swirling patterns, and bold textures.

Unit 1

Microbiome

Domain: Life Science

Unit type: Launch

Student role: Microbiological researchers

Phenomenon: The presence of 100 trillion microorganisms living on and in the human body may keep the body healthy.  

Abstract artwork of a person's side profile with geometric shapes and colorful patterns flowing from the head, holding a small sledgehammer. A vision chart is visible in the corner.

Unit 2

Metabolism

Domain: Life Science

Unit type: Core

Student role: Medical researchers

Phenomenon: Elisa, a young patient, feels tired all the time.  

Orange abstract background with hexagonal shapes featuring icons of a bar chart, plant, safety vest, test tube, peach, and stethoscope.

Unit 3

Metabolism Engineering Internship

Domains: Life Science, Engineering Design

Unit type: Engineering internship

Student role: Food engineers

Phenomenon: Designing health bars with different molecular compositions can effectively meet the metabolic needs of patients or rescue workers.  

An image showing a graphic of spiders of different colors with distinct leg and body patterns, including brown, yellow, and blue variations. The background is a dark, textured surface.

Unit 4

Traits and Reproduction

Domain: Life Science

Unit type: Core

Student role: Biomedical students

Phenomenon: Darwin’s bark spider offspring have different silk flexibility traits, even though they have the same parents.  

Illustration of a person in a red hat and fur-lined coat with eyes closed, surrounded by large orange circles on a dark background.

Unit 5

Thermal Energy

Domain: Physical Science

Unit type: Core

Student role: Thermal scientists

Phenomenon: One of two proposed heating systems for Riverdale School will best heat the school. 

Abstract artwork depicting a bright sun with blue and orange swirling patterns next to green hills under a sky with shades of blue, orange, and red.

Unit 6

Ocean, Atmosphere, and Climate

Domains: Earth and Space Science, Physical Science

Unit type: Core

Student role: Climatologists

Phenomenon: During El Niño years, the air temperature in Christchurch, New Zealand is cooler than usual.  

Illustration of a village with houses, fields and mountains under a cloudy sky with waves of wind or rain.

Unit 7

Weather Patterns

Domains: Earth and Space Science, Physical Science

Unit type: Core

Student role: Forensic meteorologists

Phenomenon: In recent years, rainstorms in Galetown have been unusually severe.  

A polar bear stands on a small ice floe in the ocean with an orange sun in the sky and distant icy mountains in the background.

Unit 8

Earth’s Changing Climate

Domains: Earth and Space Science, Life Science

Unit type: Core

Student role: Climatologists

Phenomenon: The ice on Earth’s surface is melting.  

Abstract geometric design in shades of blue and purple featuring a hexagon with icons of a building, wrench, molecules, sun, paint can, and screwdriver.

Unit 9

Earth’s Changing Climate Engineering Internship

Domains: Earth and Space Science, Engineering Design

Unit type: Engineering internship

Student role: Civil engineers

Phenomenon: Designing rooftops with different modifications can reduce a city’s impact on climate change.  

A barren, rocky desert landscape with rover tracks leading to a distant vehicle on a hill under a hazy sky.

Unit 1

Geology on Mars

Domain: Earth and Space Science

Unit type: Launch

Student role: Planetary geologists

Phenomenon: Analyzing data about landforms on Mars can provide evidence that Mars may have once been habitable. 

Two prehistoric reptiles with long snouts and tails are near the shore, one on land and one in water, with plants, rocks, and an island in the background.

Unit 2

Plate Motion

Domain: Earth and Space Science

Unit type: Core

Student role: Geologists

Phenomenon: Mesosaurus fossils have been found on continents separated by thousands of kilometers of ocean, even though the Mesosaurus species once lived all together.  

Geometric design featuring a telescope, mountain, sound waves, and cosmic elements on a purple hexagonal background.

Unit 3

Plate Motion Engineering Internship

Domains: Earth and Space Science, Engineering Design

Unit type: Engineering internship

Student role: Mechanical engineering interns

Phenomenon: Patterns in earthquake data can be used to design an effective tsunami warning system.  

Illustration of a cross-section of Earth showing a volcano near the ocean. Trees, mountains, and clouds are visible above, with subterranean layers below.

Unit 4

Rock Transformations

Domain: Earth and Space Science

Unit type: Core

Student role: Geologists

Phenomenon: Rock samples from the Great Plains and from the Rocky Mountains — regions hundreds of miles apart — look very different, but have surprisingly similar mineral compositions.  

Illustration showing the stages of melting an orange popsicle: whole, partially melted, more melted, and almost completely melted, with wooden sticks, on a purple background.

Unit 5

Phase Change

Domains: Physical Science, Earth and Space Science

Unit type: Core

Student role: Chemists

Phenomenon: A methane lake on Titan no longer appears in images taken by a space probe two years apart

Green geometric background with a hexagonal emblem containing a parachute icon, ruler, bandage, and stacked layers on a gradient pattern.

Unit 6

Force and Motion Engineering Internship

Domains: Engineering Design, Physical Science

Unit type: Engineering internship

Student role: Mechanical engineering interns

Phenomenon: Designing emergency supply delivery pods with different structures can maintain the integrity of the supply pods and their contents.  

Abstract digital artwork featuring numerous red and gray circles overlapping a split background of blue and light purple, creating a dynamic and energetic composition.

Unit 7

Chemical Reactions

Domains: Physical Science, Life Science, Earth and Space Science

Unit type: Core

Student role: Forensic chemists

Phenomenon: A mysterious brown substance has been detected in the tap water of Westfield.  

An illustration of a whale with jellyfish and turtles from Amplify Science

Unit 8

Populations and Resources

Domains: Life Science, Earth and Space Science

Unit type: Core

Student role: Biologists

Phenomenon: The size of the moon jelly population in Glacier Sea has increased. 

Low-poly landscape with trees and mushrooms. A fox sniffs the ground, a rabbit sits nearby, and mountains and sun are in the background.

Unit 9

Matter and Energy in Ecosystems

Domains: Life Science, Earth and Space Science, Physical Science

Unit type: Core

Student role: Ecologists

Phenomenon: The biodome ecosystem has collapsed.  

Two people climbing rocky terrain; illustrations show a hiking boot and a belt with gear.

Unit 1

Harnessing Human Energy

Domains: Physical Science, Earth and Space Science, Engineering Design

Unit type: Launch

Student role: Energy scientists

Phenomenon: Rescue workers can use their own human kinetic energy to power the electrical devices they use during rescue missions.  

A spacecraft approaches and docks with a space station featuring large blue solar panels, set against a backdrop of outer space.

Unit 2

Force and Motion

Domain: Physical Science

Unit type: Core

Student role: Physicists

Phenomenon: The asteroid sample-collecting pod failed to dock at the space station as planned.

Green geometric graphic featuring icons: a baby, thermometer, layers, medical alert, and a flame.

Unit 3

Phase Change Engineering Internship

Domains: Engineering Design, Physical Science

Unit type: Engineering internship

Student role: Chemical engineering interns

Phenomenon: Designing portable baby incubators with different combinations of phase change materials can keep babies at a healthy temperature.  

Illustration of a roller coaster filled with people, hands raised, going down a steep track against a bright blue sky with clouds.

Unit 4

Magnetic Fields

Domain: Physical Science

Unit type: Core

Student role: Physicists

Phenomenon: During a test launch, a spacecraft traveled much faster than expected.  

Illustration of Earth with arrows and wavy lines representing solar radiation entering the atmosphere, showing a focus on the Asia-Pacific region.

Unit 5

Light Waves

Domains: Physical Science, Life Science, Earth and Space Science

Unit type: Core

Student role: Spectroscopists

Phenomenon: The rate of skin cancer is higher in Australia than in other parts of the world.

A city skyline at night with a prominent full moon, stars in the sky, and a bridge silhouette on the left.

Unit 6

Earth, Moon, and Sun

Domains: Earth and Space Science, Physical Science

Unit type: Core

Student role: Astronomers

Phenomenon: An astrophotographer can only take pictures of specific features on the Moon at certain times.  

Four low-poly dinosaurs with missing body sections are standing in a row; one is yellow, and the others are green. They have purple spikes and red patches on their bodies.

Unit 7

Natural Selection

Domains: Life Science, Earth and Space Science

Unit type: Core

Student role: Biologists

Phenomenon: The newt population in Oregon State Park has become more poisonous over time.  

Red geometric background with icons including a mosquito, DNA strand, bar chart, and world map inside a hexagon.

Unit 8

Natural Selection Engineering Internship

Domains: Engineering Design, Life Science

Unit type: Engineering internship

Student role: Clinical engineers

Phenomenon: Designing malaria treatment plans that use different combinations of drugs can reduce drug resistance development while helping malaria patients.  

Two giant tortoises with long necks stand near water; one tortoise feeds on leaves from a tree while the other is near dense vegetation.

Unit 9

Evolutionary History

Domains: Life Science, Earth and Space Science

Unit type: Core

Student role: Paleontologists

Phenomenon: A mystery fossil at the Natural History Museum has similarities with both wolves and whales.    

Access program

Watch the video to the right plus the ones below showing you how to navigate our digital platform. When you’re ready, follow the instructions below to log into our live demo account.

  • Click the orange button below to access the platform.
  • Choose the resources you’d like to review.
  • Pick your grade level from the drop-down menu.
  • Scroll down to find additional grade-level resources.

Navigating an Engineering Internship (Part 1)

This Part 1 video demonstrates how Engineering Internship units invite students to design solutions for real-world problems as interns for a fictional company called Futura. In the process, they apply and deepen their learning from Core units.

Navigating an Engineering Internship (Part 2)

This Part 2 video demonstrates how to use the Futura Workspace to manage the immersive experience of the Engineering Internship units. This includes guidance on how to create student groups, how to review student work, and how to send students targeted feedback on their designs.

Navigating our reporting tools

Teachers of Amplify Science grades 6–8 have access to a feature called Reporting. When unit assessments are administered digitally, the Reporting tool enables teachers to analyze student performance on the unit assessments.

Differentiation post-assessment

Every core unit of Amplify Science 6–8 features a formal formative assessment opportunity at the mid-way point, or “Critical Juncture,” of the unit, which provides an important opportunity for differentiation.

Get in touch

Smiling man with short hair and a trimmed beard wearing a light blue collared shirt against a plain white background.

Have questions? Bob McCarty is standing by and ready to help.

Robert “Bob” McCarty
Senior Account Executive
(435) 655-1731
rmccarty@amplify.com

High-impact, evidence-based programs that help students make gap-closing gains in reading and math

Amplify Tutoring engages students and drives measurable academic gains. We partner with districts to ensure that children become confident, proficient readers and mathematical thinkers.

A student and an adult sit at a table, both looking at a laptop screen. The background features blue and yellow geometric shapes with a star icon.

About Amplify Tutoring

Grounded in evidence-based practices and taught by caring, consistent tutors, our high-impact tutoring programs use high-quality instructional materials and data-driven mCLASS® products to support and engage students.

  • Personalized, data-driven instruction
  • Research-backed solutions tailored to support your Multi-Tiered System of Supports (MTSS) framework
  • Customizable—before, during, or after school; year-long, semester-long, and summer programming
  • Comprehensive, hands-on program management and staffing support

Amplify Literacy Tutoring supports K–6 readers through engaging, systematic instruction aligned to the Science of Reading and driven by mCLASS DIBELS® data.

Amplify Math Tutoring accelerates student achievement in grades 3–5 and builds students’ confidence in speaking, writing, and thinking mathematically.

More than a program: a true partner

Hear directly from district leaders and educators who’ve experienced the Amplify Tutoring difference. In these candid conversations, they share how we partner to deliver solutions for schools, gains for students, and support for teachers.

What district leaders and teachers are saying

“Students’ enthusiasm for Amplify Tutoring is evident! From the moment they sit down for their session, you can see how motivated and engaged they are while working with their tutor and peers. … It is very helpful that the tutors provide real-time feedback to students, and it has allowed them to be more confident and committed to their own learning paths.”

—Jennifer Quartano, Teacher, NYC Public Schools

What district leaders and teachers are saying

“There has been an increase in many students’ scores. The students are always excited to participate and the small group instruction truly is making a difference … I am passionate about reaching students who require support. This initiative was very much needed in our school. Thank you, Amplify Tutoring!”

—Denise Bishop, Assistant Principal, Prince George’s County Public Schools

What district leaders and teachers are saying

“I appreciate the support and quick response we have received from Amplify Tutoring this year. We have seen lots of growth with our fourth graders with phonics, decoding, vocabulary, and comprehension that we likely would not have seen without the program!”

—Heather Wasburn, Instructional Coach, Springfield City Schools

Bar chart showing that students with 2–3 literacy tutoring sessions per week outperform national growth norms across grades K–5, compared to students not in tutoring.
Bar chart showing percent correct in performing multi-digit arithmetic for Grades 3, 4, and 5 before and after Amplify Math Tutoring; scores improved in Grades 4 and 5 after tutoring.

Our impact

Amplify Tutoring accelerates learning for students who need it most. Students in Amplify Tutoring are more likely to achieve outsized academic gains than similarly at-risk peers in the same schools who are not enrolled in the program.

A hexagonal badge labeled "National Student Support Accelerator Tutoring Program Design, Amplify Tutoring 2024-2027," recognizing high impact tutoring programs that boost reading competency.

Amplify Tutoring has been awarded the National Student Support Accelerator (NSSA) Tutoring Program Design Badge by Stanford University!

Learn more

Reliable, easy-to-read data

With valid and reliable mCLASS assessments and real-time reporting always within reach, everyone involved in a child’s learning journey—from teachers and tutors to school leaders and families—can support student growth.

  • Teachers have visibility into students’ data and all tutoring lesson content.
  • School and district administrators receive regular tutoring attendance and progress-monitoring reports.
  • Caregivers receive Home Connect letters and activities to help their child practice foundational skills at home.
Screenshot of mCLASS Home Connect dashboard displaying reading assessment data, scores, and activity details with charts and text descriptions.

High-quality instructional materials that power Amplify Literacy Tutoring

Amplify Literacy Tutoring includes high-quality resources to support students’ growth.

Targeted lessons generated by precise data

mCLASS Intervention is a research-backed, ESSA rated program that targets instruction based on students’ mCLASS DIBELS 8th Edition assessment results. With engaging lessons aligned to the Science of Reading that adapt based on students’ progress monitoring results, mCLASS Intervention streamlines time-consuming data analysis for teachers and makes sure that tutoring focuses on the literacy skills students need.

A line graph displays students' letter-sound fluency scores from June to May, showing progress toward a custom goal of 90, with benchmark and performance data points.
A screenshot of the mCLASS Reading assessment dashboard showing student scores, benchmarks, and assessment categories for Bolton Grade 1.

Transparency into student performance

mCLASS DIBELS 8th Edition is our nationally normed benchmarking and progress monitoring assessment tool to measure students’ foundational literacy skills. Students take the benchmark assessment three times a year and progress monitoring occurs every 7–10 lessons in between.

Proven impact for students who need it most

Boost Reading delivers targeted, adaptive practice that meets students where they are, while teachers get simple and meaningful insights into student progress. The program consistently moves students toward grade-level proficiency with just 30 minutes of use per week. Students can continue learning through Boost Reading between tutoring sessions or at home.

High-quality instructional materials that power Amplify Math Tutoring

Amplify Math Tutoring includes high-quality resources to support students’ growth.

Intervention Mini-Lessons aligned to core instruction

Amplify Desmos Math Mini-Lessons provide targeted intervention for students who require additional support or need more time. These lessons are aligned to the most critical topics throughout a unit; they enhance conceptual understanding while improving procedural fluency and application.

Two overlapping math worksheets on a white background with blue and orange squares; worksheets show graphs, equations, and instructional text about graph rotations.

Valuable insights into student mathematical thinking

mCLASS Math is our benchmarking and progress monitoring assessment tool. Students take the benchmark assessment three times a year; progress monitoring occurs every 7–10 lessons in between.

Personalized practice—anytime and at home

Fact fluency practice provides students with regular practice beyond rote memorization. The program is used during tutoring sessions and is available on non-tutoring days. Students also have access to Boost Math’s independent learning activities, to continue practicing between tutoring sessions or at home.

A woman and a boy sit at a table, looking at a tablet together. The background includes blue and orange graphic elements with a clipboard icon.

Consultation and collaboration

Amplify Tutoring tailors our support for educators, schools, districts, caregivers, and state-level leaders, helping to realize the promise of high-impact tutoring programs. Through collaborative partnerships at every level, Amplify Tutoring engages communities in driving academic improvement and boosting attendance.

Our services can include:

Program design consultation: Amplify Tutoring offers expert program design consultation services to help schools and districts create effective and scalable high-impact tutoring programs.

Tailored onboarding: We provide customized training sessions for school, district, and state leaders, ensuring that Amplify Tutoring services are integrated smoothly into existing systems.

Ongoing professional development and coaching: Our program management includes continuous training, coaching support, and office hours with pedagogical experts to fortify the program’s success and adaptability.

Caregiver engagement: We offer resources and support for families and caregivers, including tips for at-home support, helping them stay informed and involved in their child’s progress.

Seamless communication and support: We provide transparent communication and engage all stakeholders—district and school leaders, teachers, caregivers, and students—to keep everyone aligned and informed.

Data reporting: We provide detailed reports and analytics to district and school leaders, giving them the power to monitor progress, make data-driven decisions, and celebrate successes.

Amplify Tutoring is part of a connected early literacy and math suite.

Our literacy and math suite programs are designed to support and complement each other in a Multi-Tiered System of Supports (MTSS). Learn more about our related programs.

Welcome to mCLASS® for grades K–8!

On this site, you’ll find resources to guide you in your review.

About the program

mCLASS offers teacher-administered assessment, intervention, and personalized instruction for grades K–8. Know exactly how to monitor and support every student in your classroom with features like:

  • Precise one-minute measures based on over three decades of predictive data.
  • Universal and dyslexia screening in one tool.
  • Instruction that highlights observed patterns and recommends activities.
  • Robust reports for teachers, specialists, administrators, and parents.

Hear from educators like you

Hear from teachers, administrators, and students across the country who are using mCLASS in their classrooms right now.

Resources to support your review

Download the resources below before you review the program to better understand the program structure, components, digital resources, and more.

Dyslexia screening: Catch at-risk students early

Early intervention is critical. With mCLASS, educators can provide universal and dyslexia screening through one single powerful tool—no additional assessment system required.

Download our dyslexia toolkit to learn more.

An adult and a young girl sit at a table looking at a smartphone together, with children's books on the table in front of them.

Assessment measurement videos

mCLASS’s teacher-administered assessment provides for streamlined data collection, emphasizing measures of the most important skills. The measures are administered in the manner that is most appropriate for the developmental stage of the child as well as the skills being assessed. 

Phonemic Segmentation Fluency (PSF)

The student produces sounds to isolate first sounds or fully segments sounds in spoken words.

Word Reading Fluency (WRF)

Standardized, individually administered assessment that provides a measure of Alphabetic Principle and Reading Fluency skills. The student reads individual words aloud from a word list printed on a sheet of paper for one minute.

Oral Reading Fluency (ORF)

Students are tasked with verbally repeating what they hear, and thus teachers have deeper diagnostic data about their oral language abilities and errors.

Nonsense Word Fluency (NWF)

This test assesses students’ skills in decoding one-syllable nonsense words by associating the most common sound with each letter and blending those sounds to decode whole words.

Letter Naming Fluency (LNF)

A standardized, individually administered test that provides a measure of risk. Students are presented with a page of upper- and lower-case letters arranged in a random order and are asked to name as many letters as they can.

Request a walkthrough

If you’d like to review the full program or speak to a product expert for more information, fill out the form below and we’ll be in touch.

A teacher holding a tablet talks to a smiling student in a classroom. Other students are seated and working at tables in the background.

The promise of Next Generation Science Standards

The Next Generation Science Standards (NGSS), and other state standards like them, represent more than just new expectations—they embody a transformative vision for science education. Instead of asking students to memorize isolated facts, NGSS calls for students to think like scientists and engineers while grappling with real-world phenomena that matter to them and their communities.

This shift from learning about to figuring out develops the critical-thinking skills and problem-solving mindset students need to tackle complex challenges throughout their lives.

Two children wearing safety goggles conduct an NGSS-inspired science experiment at a table, mixing substances in clear plastic cups with plastic spoons.

Three-dimensional (3D) learning that engages and inspires

Two girls conduct a science experiment in a classroom, holding a clear cup with water and a straw, while observing and taking notes at their desks.

At the heart of NGSS lies three-dimensional learning, where Science and Engineering Practices (SEPs), Crosscutting Concepts (CCCs), and Disciplinary Core Ideas (DCIs) work together to create rich, meaningful learning experiences.

Science and Engineering Practices are the approaches and habits of real scientists and engineers: asking questions, developing models, planning investigations, and constructing evidence-based explanations and arguments. Working with these practices awakens student curiosity, drives student-centered learning, encourages deep and critical thinking, and creates opportunities for students to articulate their understanding in a variety of meaningful ways. 

Crosscutting Concepts are the big-picture thinking tools that scientists use every day. When students use Crosscutting Concepts as a lens to examine common themes in science such as patterns, cause and effect, systems, and energy, they begin to identify and connect science ideas across disciplines.

Disciplinary Core Ideas represent the essential knowledge of science. Students figure out these science ideas through their investigation of real-world scientific phenomena, and consequently develop deep understandings of science ideas.

The student experience: from passive to passionate

Four children sit at a classroom table examining a small object together, surrounded by open notebooks and colorful classroom decorations.

In three-dimensional science learning, students become active investigators, gathering evidence from multiple sources and constructing increasingly sophisticated scientific arguments and models about real-world phenomena. They engage in evidence-based debates, collaborate on engineering challenges, and make connections between their investigations and their own communities, as well as the world beyond. See it in action.

An adult and a child sit cross-legged on the floor in a classroom, reading a book together. The classroom setting includes chairs, tables, and colorful decorations.

The literacy-rich nature of NGSS instruction means students read, write, speak, and listen like real scientists and engineers, actively questioning, analyzing, and communicating findings. This integrated approach develops both scientific understanding and communication skills—skills that transfer across all subjects and even beyond the classroom.

How Amplify Science delivers as an HQIM curriculum

Amplify Science was built from the ground up to fulfill the NGSS vision and is an HQIM (high-quality instructional materials) curriculum, characterized by the following:

  • All green on EdReports. Amplify Science has been evaluated by EdReports, an independent K–12 curriculum review organization, and received the esteemed all-green rating (“meets expectations”) across all three of its gateways: Alignment to the NGSS, Coherence and Scope, and Usability. Learn more about our all-green rating.
A circular badge with the text "Read the Report" at the top, "EdReports" logo in the center, and "Review Year 2021" at the bottom.
  • The real-world anchor phenomenon is deeply woven throughout each unit as the central thread. In Amplify Science, students assume the role of a real scientist or engineer to investigate a compelling phenomena in K–5 and grades 6–8. Over the course of the unit, they gather and make sense of a variety of evidence sources and develop increasingly sophisticated explanations and models as their understanding deepens. Whether investigating a mysterious fossil discovery as geologists or designing emergency supply delivery pods as mechanical engineers, students experience the kind of work done by real scientists and engineers.  
Two boys wearing safety glasses sit at a classroom table. One holds a cup with a white liquid; the other holds a pencil and notebook. Bulletin boards with colorful labels are in the background.
  • All three dimensions of the NGSS are intentionally and thoughtfully integrated throughout every unit and across all grades. As they built Amplify Science as an HQIM curriculum, the experts at UC Berkeley’s Lawrence Hall of Science deliberately crafted each unit, chapter, and lesson with the following guiding questions in mind:
    • What do we want students to figure out (specifically, what Disciplinary Core Idea or part of a DCI)? 
    • How do we want them to figure it out (i.e., what Scientific and Engineering Practice will they engage in to reach understanding)? 
    • What Crosscutting Concept can scaffold students’ understanding and connect it to other ideas about the natural world that they have learned? 

This systematic approach ensures that every learning experience is purposefully designed to engage students in authentic scientific thinking while building connections across concepts and grades.

A teacher observes and assists a group of four students working on a science activity at a classroom table.
  • Educators receive comprehensive implementation support. Through lesson-planning resources, science background materials, built-in assessments, and expert coaching—all provided directly through Amplify—teachers are able to confidently implement the program’s NGSS-aligned, high-quality instructional curriculum with greater ease and success. 
Two women sitting at a table looking down at documents, appearing focused and engaged in discussion or review.
  • Multimodal learning experiences support all learners. Amplify Science ensures that everyone can access scientific concepts through the Do, Talk, Read, Write, Visualize multimodal approach that includes hands-on investigations, digital simulations, collaborative discussions, and literacy-rich activities. 
Two boys work together at a desk with a laptop and notebooks, while other students sit and work in the background.
Bar chart comparing percent growth in three skills—reading comprehension, science vocabulary, and science content knowledge—for “Business as usual” vs. “Amplify Science,” aligned with NGSS standards.

Ready to transform your science instruction with an HQIM curriculum?

Please contact your sales representative today, or download a sample unit to experience three-dimensional learning firsthand. Your future scientists, engineers, and citizens of the world are waiting!

Explore a unit
2020 Math Leadership Summit logo with geometric shapes and text; "sponsored by Amplify" appears in orange.

Join us!

Meet like-minded educators Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut magna aliqua.

March 2–4

The US Grant Hotel, San Diego

About the event

Join us for two days of interactive and inspirational talks with math education leaders from around the country to discuss where math education is headed. Meet like-minded K–12 leaders as well as change-makers from major universities, EdTech companies, and professional learning organizations dedicated to improving teacher experiences and student outcomes in mathematics. 

We’re hosting an optional pre-conference workshop featuring Patrick Callahan and Chris Weber on Monday, March 2. The pre-conference starts at 12 p.m.

What to expect:

  • Two full days of keynote and breakout sessions covering a variety of K–12 math topics
  • Sessions led by district leaders sharing their work to raise math achievement
  • Evening networking events
  • Engaging speakers with a variety of expertise
  • Insights you can put to use in your district immediately
Aerial view of a city skyline with tall buildings along a waterfront, under a blue sky with scattered clouds.

Meet a few of our speakers

Use this version when there are multiple presenters.

Jason Zimba

Founding Partner of Student Achievement Partners

Lead writer of the Common Core State Standards for Mathematics

Sunil Singh

Founding Partner of Student Achievement Partners

Lead writer of the Common Core State Standards for Mathematics

Christina Lincoln-Moore

Founding Partner of Student Achievement Partners

Lead writer of the Common Core State Standards for Mathematics

Use this version when there is only one presenter, rather than many.

A woman with curly blonde hair wearing a white blouse is shown next to a book titled "The Knowledge Gap" with a colorful background.

Natalie Wexler

Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Quis ipsum suspendisse ultrices gravida dictum fusce. Convallis posuere morbi leo urna molestie. In metus vulputate eu scelerisque felis imperdiet proin fermentum leo.

Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Quis ipsum suspendisse ultrices gravida dictum fusce.

Event agenda

Monday, March 2

Arrivals

Pre-conference workshop featuring Chris Weber and Patrick Callahan

Sessions begin at 1 p.m. Pacific and include:

  • Adult and Student Mindsets and Math Supports
  • Enhanced Mathematics

3:00 p.m. Hotel check-in available

6:00 p.m. Welcome reception and dinner

Tuesday, March 3

8:30 a.m. Sessions begin

Sessions include:

  • Math milestones with Jason Zimba
  • Unfinished learning with Phil Daro
  • Powerful moments in math class with Mike Flynn
  • Utilizing math history to embrace equity, failure, and authentic problem-solving in leadership communities with Sunil Singh
  • Radical change in high school mathematics: Addressing wicked problems of tracking, acceleration, and curricular change with Mike Steele

6:30 p.m. Evening event

Wednesday, March 4

8:30 a.m. Sessions begin

Sessions include:

  • Embedding problem-solving into your curriculum with Fawn Nguyen
  • Writing in mathematics: The power of mathematics explanations with Jessica Balli
  • Talk Number 2 Me: Mathematics and mindfulness with Christina Lincoln-Moore
  • Writing in mathematics: The power of mathematical explanations with Patrick Callahan

4:00 p.m. Departures

Submit the form to register for the event!

Note: this is a Hubspot form but, when this page is used, we will be using Gravity forms. I put in an HS form now since the CSS has not been added.

A laptop displays an educational website about balancing forces and floating trains, with a matching teacher's guide booklet beside it.
  • This field is hidden when viewing the form

The fine print

While we’ve made every effort to ensure that this invitation is consistent with the gift and ethics rules adopted by most jurisdictions, we recognize that many public officials are subject to rules that do not permit acceptance of this offer or require approval of other officials at your agency. If you do plan to attend our event, please ensure that acceptance of our invitation is fully compliant with your local rules regarding travel, lodging, and meals for events with vendors. Please let us know if we can provide any additional information to support your determination.

Boost Reading sample site

To view this protected page, enter the password below:



Amplify literacy curriculum sample boxes – TX

To view this protected page, enter the password below:



Amplify literacy curriculum sample boxes – CA

To view this protected page, enter the password below:



Logotipo de la Cumbre de Liderazgo en Matemáticas 2020, patrocinada por Amplify. Presenta formas geométricas y texto estilizado "2020" sobre un fondo blanco.

Join us!

Meet like-minded educators Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut magna aliqua.

March 2–4

The US Grant Hotel, San Diego

About the event

Join us for two days of interactive and inspirational talks with math education leaders from around the country to discuss where math education is headed. Meet like-minded K–12 leaders as well as change-makers from major universities, EdTech companies, and professional learning organizations dedicated to improving teacher experiences and student outcomes in mathematics. 

We’re hosting an optional pre-conference workshop featuring Patrick Callahan and Chris Weber on Monday, March 2. The pre-conference starts at 12 p.m.

What to expect:

  • Two full days of keynote and breakout sessions covering a variety of K–12 math topics
  • Sessions led by district leaders sharing their work to raise math achievement
  • Evening networking events
  • Engaging speakers with a variety of expertise
  • Insights you can put to use in your district immediately

Meet a few of our speakers

Use this version when there are multiple presenters.

Jason Zimba

Founding Partner of Student Achievement Partners

Lead writer of the Common Core State Standards for Mathematics

Sunil Singh

Founding Partner of Student Achievement Partners

Lead writer of the Common Core State Standards for Mathematics

Christina Lincoln-Moore

Founding Partner of Student Achievement Partners

Lead writer of the Common Core State Standards for Mathematics

Use this version when there is only one presenter, rather than many.

Promotional image featuring an author next to her book titled "the knowledge gap," set against a background of colorful geometric shapes.

Natalie Wexler

Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Quis ipsum suspendisse ultrices gravida dictum fusce. Convallis posuere morbi leo urna molestie. In metus vulputate eu scelerisque felis imperdiet proin fermentum leo.

Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Quis ipsum suspendisse ultrices gravida dictum fusce.

Event agenda

Monday, March 2

Arrivals

Pre-conference workshop featuring Chris Weber and Patrick Callahan

Sessions begin at 1 p.m. Pacific and include:

  • Adult and Student Mindsets and Math Supports
  • Enhanced Mathematics

3:00 p.m. Hotel check-in available

6:00 p.m. Welcome reception and dinner

Tuesday, March 3

8:30 a.m. Sessions begin

Sessions include:

  • Math milestones with Jason Zimba
  • Unfinished learning with Phil Daro
  • Powerful moments in math class with Mike Flynn
  • Utilizing math history to embrace equity, failure, and authentic problem-solving in leadership communities with Sunil Singh
  • Radical change in high school mathematics: Addressing wicked problems of tracking, acceleration, and curricular change with Mike Steele

6:30 p.m. Evening event

Wednesday, March 4

8:30 a.m. Sessions begin

Sessions include:

  • Embedding problem-solving into your curriculum with Fawn Nguyen
  • Writing in mathematics: The power of mathematics explanations with Jessica Balli
  • Talk Number 2 Me: Mathematics and mindfulness with Christina Lincoln-Moore
  • Writing in mathematics: The power of mathematical explanations with Patrick Callahan

4:00 p.m. Departures

Submit the form to register for the event!

Note: this is a Hubspot form but, when this page is used, we will be using Gravity forms. I put in an HS form now since the CSS has not been added.

  • This field is hidden when viewing the form

The fine print

While we’ve made every effort to ensure that this invitation is consistent with the gift and ethics rules adopted by most jurisdictions, we recognize that many public officials are subject to rules that do not permit acceptance of this offer or require approval of other officials at your agency. If you do plan to attend our event, please ensure that acceptance of our invitation is fully compliant with your local rules regarding travel, lodging, and meals for events with vendors. Please let us know if we can provide any additional information to support your determination.

Blog Archive

Explore our library of posts on teaching and learning topics in STEM and literacy.

Amplify CKLA

To view this protected page, enter the password below:



Amplify literacy curriculum sample boxes

To view this protected page, enter the password below:



Welcome to the Baltimore Tutoring Project!

Baltimore City Schools and Amplify have partnered to provide virtual reading tutoring services. Amplify Tutoring aligns with the mission of Amplify in extending the reach of classroom teachers and supporting rigorous and riveting learning experiences for students. The purpose of this high impact tutoring is to support and accelerate student achievement in foundational literacy skills in order to address unfinished learning and achievement gaps. Classroom teachers teach foundational literacy skills in whole group and small group settings; Amplify tutoring is one way to support teachers in meeting the needs of their students by providing additional opportunities for struggling students to work in small groups with a tutor. 

Two students using a laptop in a classroom with "amplify" and "baltimore city public schools" logos displayed.

Welcome, Baltimore Educators!

We’ve created this website with resources that will help ensure the success of your high-impact tutoring program.

Log In to Amplify Tutoring

Logging in with a personal device

  1. If you’re already logged into Clever, go to tutor.amplify.com and click Log In with Clever. You will be taken directly to Amplify Tutoring.
  2. If you’re NOT logged into Clever, go to tutor.amplify.com and click Log In with Clever.
  3. Scan the Clever badge OR enter your school name and your Clever username and password and click Log in
Young girl with headphones using a laptop for online learning, interacting with a school login page.
Screenshot of a login page with options to log in with google, clever, amplify, and a qr code, highlighted by a red arrow pointing at the "log in with amplify" button.

Logging in with a shared device

  1. If you’re using a shared device, go to tutor.amplify.com and click Log In with Amplify.
  2. Enter your Amplify Reading username and password.
  3. Click Log in.

Logging in for the first time

After you log in for the first time, scroll down to complete the welcome tutorial.

Illustration of a computer monitor displaying a page labeled "abc" with a welcoming message, "welcome to the new blackboard!" above it.

Join a Tutoring Session

  1. After you log in, click your class.
  2. Click Blackboard Collaborate and then click Join session.
  3. In the list that displays, click your class name to join the scheduled session. Note: You can only join a session at the time it is scheduled. If the scheduled session isn’t in progress, you will see “Room disabled” under Blackboard Collaborate.
  4. If you’re joining for the first time, click Allow to give your browser permission to use the microphone and camera. Check to make sure each is working.
  5. To stop seeing onscreen instructions: click Later under Start Tutorial, then click X on the next prompt.

You should now be able to see and hear your tutor and the other students in your session.

Screenshot of an online education platform interface labeled "rmeyer tutoring grade 1 - test" with a menu on the left and a large red arrow pointing to "attendence.

Test Session Audio and Video

A minimalistic user interface of an online platform displayed on a laptop screen, showing a welcome message and options for uploading content and checking audio.
  1. To test audio and video, you must first join a session. Audio and video settings can only be tested in a session.
  2. Open the Collaborate panel by clicking the purple icon in the lower-right corner of the page.
  3. Click the My Settings icon in the panel that opens.
  4. Click Set up your camera and microphone.
  5. Test your microphone, and grant permission to your microphone if asked.
  6. Test your camera, and grant permission to your camera if asked.

Your tutor and the other students in your session should now be able to see and hear you.

Clearing cache and cookies

Here are instructions to clearing cache and cookies

Download PDF

Two women, one middle-aged and one younger, working together on a laptop in a library, with two other people in the background.

Webinars

View our latest webinars for more information

Amplify Tutoring – Scheduling Training Session for School POCs

https://youtu.be/H-3PZHVNBRY

Watch now

Amplify Tutoring Identifying Students Training

https://youtu.be/3eKSWtsMgQ4

Watch now

Student-friendly resources

Student log-in instructions

Here is a PDF of student log-in instructions

Download PDF

Two young girls, smiling and looking at a tablet together in a colorful classroom, engaged in an online reading program.

Additional resources

Three colleagues, one holding a laptop and another holding a tablet, discuss work in front of a wall covered in colorful sticky notes.

Amplify family letter

Here is an Amplify family letter for your use.

Download PDF

Student inventory of devices

How to obtain an additional inventory of student devices PDF

Download PDF

Boost Reading classroom of learning children reading program
An adult sits on a couch using a laptop while a child next to them does homework in a notebook.

Family Letter- Pivoting to Remote Learning

Here is an Amplify Family Letter- Pivoting to Remote Learning for your use.

Download PDF

Connect, Reflect, Share!

Una mujer ayuda a dos estudiantes con una computadora portátil en un salón de clases. Un estudiante escribe en un cuaderno mientras el otro mira la pantalla. Los carteles adornan la pared detrás de ellos.

Complete this optional Google form to share highlights from tutoring. We would love to capture and share your a-ha moments, the practices/strategies/resources you have found helpful, and/or celebrations of your students’ growth as readers and your development as a tutor!

Please use the form below to alert us of issues and concerns. We will look at trends, solutions, and reach out to schools if needed.

Contact us for support

Want to learn more?

Visit our main tutoring page for more information

Visit site

Welcome, Palm Beach reviewers!

We’re honored to introduce you to Amplify Desmos Math Florida, and confident this comprehensive program will be a powerful tool in classrooms across your district.

Please start with the video on the right to learn more.

Next, view this video for an in-depth look at a lesson from both the Teacher and Student Editions.

Accelerated 6

Visit http://learning.amplify.com/.

To further support your review.

Select Log in with Amplify and use the login credentials in your submission documents.

Cover of a math textbook titled "Amplify Desmos Math Florida ACC 6 Teacher Edition Volume 1" with illustrated children exploring and learning outdoors.
Amplify Desmos Math Florida Accelerated 6 Teacher Edition

Volume 1

ebook

PDF

Illustration of children and adults engaging in math activities outdoors, with pink balloons and floating figures, featured on a math teacher edition book cover.
Amplify Desmos Math Florida Accelerated 6 Teacher Edition

Volume 2

ebook

PDF

Cover of "Amplify Desmos Math Florida ACC 6: Assessment and Lesson Resources" featuring a large 3D letter "A" and a list of included materials.
Amplify Desmos Math Florida Accelerated 6 Assessment and Lesson Resources

ebook

PDF

Cover page of "Amplify Desmos Math Florida: Intervention and Extension Resources" featuring a large pink 3D letter "I" and a list of included contents.
Amplify Desmos Math Florida Accelerated 6 Intervention and Extension Resources

ebook

PDF

Cover of the "Amplify Desmos Math Florida ACC 6 Ancillary Sampler," featuring large 3D letters "P" and "L" and a list of sample resources included.

Amplify Desmos Math Florida Accelerated 6 Additional Practice and MLDR Sampler

PDF

Illustration of children engaging in various activities outdoors, with math elements integrated into the landscape. Text reads "Amplify Desmos Math Florida, ACC 6, Student Edition, Volume 1.
Amplify Desmos Math Florida Accelerated 6 Student Edition

Volume 1

ebook

PDF

Illustration of students engaging in various math and science activities outdoors, with the cover labeled "Amplify Desmos Math Florida ACC 6 Student Edition Volume 2.
Amplify Desmos Math Florida Accelerated 6 Student Edition

Volume 2

ebook

PDF

3 images of students learning, along with the LAUSD logo

Hello, LAUSD!

You’ve known Amplify as a publisher of high-quality instructional materials and assessments. We continue to launch product enhancements and new resources that will help you and your staff ensure continuity of learning anywhere.

All Amplify products: Amplify CKLA® and Caminos, mCLASS®, mCLASS Intervention, Boost Reading and Boost Lectura, and Amplify Science can be accessed via Schoology or Clever using your LAUSD Single Sign-On (SSO).

Learn more:

Want advice and answers from the Amplify team?

Amplify Help Library

When you have a question about Amplify curriculum, we suggest you check out our Help Library as your first stop. It’s packed with answers to FAQs and tips for navigating and using Amplify. The search tool there will help you find the answer you need quickly.

Learn more

Amplify on Schoology

LAUSD educators can access all Amplify products from one app on Schoology. Gain instant access to digital materials, resources, and community support from the Amplify team and fellow LAUSD educators.

Learn more

Contact us

Monday through Friday, 7 a.m.–7 p.m. EST
(800) 823-1969
help@amplify.com

For Questions and Support

Portrait of a smiling woman with shoulder-length wavy hair, wearing a black top against a dark background.

Shalonda Johnson
Customer Success Manager
shajohnson@amplify.com
213-310-0107

A woman with blonde, wavy hair and gold earrings smiles at the camera, standing outdoors against a blurred brick background in Los Angeles.

Janie Bomgaars
Customer Success Manager
jbomgaars@amplify.com
949-303-6091

Professional Development Support

Man with dark hair, beard, and glasses wearing a pink and blue plaid shirt, posing in front of a plain blue-gray background—perfect for an LAUSD educator using the Amplify curriculum in Los Angeles.

Brandon Fried
Director of Customer Success & Development
bfried@amplify.com
737-710-4112

For Sales Inquiries

Woman with long brown hair and glasses smiling, wearing a light pink blazer and brown top, standing outdoors with a blurred green background, ready to support LAUSD students in navigating the Amplify curriculum.

Michelle Land
Lead Strategic Account Specialist
mland@amplify.com
703-214-4085

mCLASS for Missouri

To view this protected page, enter the password below:



Leading in early literacy with science-based practices

A group of adults poses in a hallway, all wearing matching gray shirts with a black design, celebrating their work with early literacy and the Science of Reading curriculum. Most are smiling and kneeling or standing in two rows.

Bruin Point Elementary sits at the base of Utah’s Book Cliff Mountain Range in the small mining town of Sunnyside, 30 miles from the nearest district hub. With just 107 students, and one teacher per grade, it’s Carbon School District’s smallest school—and now one of its brightest early literacy success stories.

All of Bruin Point’s students face significant systemic barriers, with 100% qualifying for free lunch. Yet when it comes to literacy development, the school’s educators have achieved something remarkable.

In just one year, their student literacy proficiency rates jumped 19 percentage points—from 39% at the beginning of the year to 58% by mid-year.

That’s why Bruin Point Elementary has been named a Literacy Legend in our 2025 Science of Reading Star Awards. These awards honor educators, schools, and districts that have transformed classrooms and empowered students through the Science of Reading.

Teaching early literacy skills in a community with challenges

Sunnyside tells the story of many rural American communities. “Since the closing of the local mines, there has been an increase in the number of unemployed family members,” says Cindy Garcia, Bruin Point’s principal.

As a result, an already high poverty rate has risen still further, along with levels of substance abuse, neglect, behavioral issues, and more. Parent involvement in school is extremely low, according to Garcia. “Basic needs take priority.”

Yet Garcia and her six-teacher team saw potential where others might have seen obstacles. They understood that their students deserved the strongest possible foundation in early literacy skills. And they knew they had to make a change.

The importance of relying on data

“Many of us had been trained in methods that didn’t fully meet the needs of all students, and shifting the mindset required trust, training, and time,” says fifth-grade teacher Tyler Grundy. “Our biggest challenge wasn’t just learning a new approach. It was unlearning old ones. But we stayed the course.”

Four of the six teachers completed LETRS training, with two more currently working through it. Teachers began to trade guesswork for systematic, explicit classroom instruction, using data to guide their early literacy program.

“We equipped our teachers with the knowledge and tools to teach reading explicitly and systematically,” Grundy says. “We relied on data, not assumptions, to guide our instruction and interventions.”

Building literacy and knowledge together

The school implemented Amplify Core Knowledge Language Arts (CKLA), providing systematic phonics instruction and rich content knowledge that builds comprehension.

“CKLA weaves literacy skills together to help make my students proficient readers and writers,” says first-grade teacher Chelsea Timothy. “They’re making connections between the Greek myth of Arachne and spiders being arachnids. They put together a web of knowledge.”

Just having a wealth of content at their fingertips made a huge difference, too, and the instructors learned quickly how to leverage it.

“I didn’t have to spend countless hours looking for content,” said Julia Sanders, a first-year kindergarten teacher. “It saved me time, so I could focus on making it more encouraging for the kids.”

For second-grade teacher Francie Aufdemorte, having comprehensive materials meant being able to focus on instruction. “It reduced the stress of creating lesson plans from scratch,” she says. “I was nervous about the rigor, but my students have excelled with it.”

Building a culture in which “success is expected”

The 19-point proficiency jump speaks to real student growth, but Garcia knows the impact goes beyond test scores.

“Struggling students who once guessed at words began to decode with confidence,” she said. “We built a culture where reading success is expected and not left to chance.”

Bruin Point’s success rests on ongoing commitment to evidence-based practices. Garcia and her team continue meeting regularly for data discussions, sustaining the mindset shift that began their journey to improved student outcomes.

“Our interventions and extensions are like a well-oiled machine,” Garcia said. “We can see that the young ones are off to a much better start.”

She adds: “We didn’t just change our curriculum, we changed lives. And that is a legacy worth celebrating.”

More to explore

Winter Wrap-Up 01: Problem-solving and facilitating classroom discussions

Promotional graphic for Math Teacher Lounge podcast, episode 1, featuring Fawn Nguyen, Christy Thompson, and Kassia Omohundro Wedekind discussing classroom problem-solving and discussions.

As we prep for an exciting new season of Math Teacher Lounge: The Podcast, hosts Bethany Lockhart Johnson and Dan Meyer are looking back at the amazing speakers and conversations from past episodes and sharing some of their favorites!

First up: A season 2 double feature of the power of problem-solving with Fawn Nguyen and Facilitating Classroom Discussions with authors Christy Hermann Thompson and Kassia Omohundro Wedekind.

Fawn is a specialist on Amplify’s advanced math team and a former math teacher and math coach—so she knows her stuff! You’ll hear about her five criteria for good problem-solving problems, and the power and importance of exposing all students to problem-solving.

Then, we’ll move into Bethany and Dan’s conversation with Christy and Kassia to learn how hands-down conversations allow students to become better listeners and the steps you can take to implement hands-down conversations in your classroom.

Explore more from Math Teacher Lounge by visiting our main page.

Download Transcript

Dan Meyer: (00:01)

Hey folks. Welcome back to Math Teacher Lounge. My name is Dan Meyer.

Bethany Lockhart Johnson: (00:03)

And I’m Bethany Lockhart Johnson. Hello! Happy New Year! Hello, Dan Meyer.

Dan Meyer: (00:09)

HNY, Bethany. HNY to you and to all of the listeners out there in Math Teacher Lounge. HNY is the abbreviation that I use sometimes.

Bethany Lockhart Johnson: (00:18)

Oh, is that what that is? Is that—I wasn’t sure what that was. If on my birthday you send me HBD…no.

Dan Meyer: (00:25)

Yeah.

Bethany Lockhart Johnson: (00:25)

No. Unacceptable.

Dan Meyer: (00:27)

I will. No, you want the full thing. To demonstrate my care for your birthday, I gotta spell the whole thing out. I’m just trying to stay relevant. You know, I’m just trying to stay relevant and youthful. So I’m using The Abreevs.

Bethany Lockhart Johnson: (00:38)

The Brevvies.

Dan Meyer: (00:40)

To the extent of even abbreviating the word “abbreviation.” . So, any New Year’s resolutions you wanna share with the listeners, Bethany? While you think, I’ll just share mine real quick here. This is the year of the perfect Wordle streak for yours truly, Dan Meyer. I’m going the full 365. Watch. Watch me do it, folks. I’m naming it here. Live on air. recorded on air. Perfect Wordle year. What you got for the listeners, Bethany?

Bethany Lockhart Johnson: (01:10)

Let’s see. It’s raining very hard here in Southern California, and my newest resolution is to embrace nature. My child wants nothing more than to go and splash in all the puddles.

Dan Meyer: (01:22)

Nice.

Bethany Lockhart Johnson: (01:23)

And be amongst the mud. And what I’m gonna keep telling myself—and so far, so far, I’ve been doing pretty good with this—thrive, child. Splash. Squish. We can dry you off. You will not melt. So I want to keep finding opportunities. Like, for instance, my response is, “It’s pouring rain. Let’s stay under covers and let’s read this book together!” And his response is like, banging on the windows, like, “Please let me go outside.” So I myself have some rain boots. I’m going to go forth and splash with my child. So hopefully you’ll see me doing that a bit more.

Dan Meyer: (02:08)

Love that.

Bethany Lockhart Johnson: (02:09)

Ask me what I’m doing. I’m outside, splashing in nature.

Dan Meyer: (02:12)

I don’t wanna put words in your mouth, but I have felt a bit like parenting is a means for rounding out aspects of my own personality that I have felt are—or habits or hobbies that are lacking. Like, I’ve never been real outdoorsy or into camping, but I don’t want that to limit my own kids’ aspirations or interests. So let’s do the thing that’s not super natural for me, for their own sake. Which is kind of what I’m hearing a little bit from you, which—that sounds exciting.

Bethany Lockhart Johnson: (02:35)

Do you wanna go camping together? Like, our families?

Dan Meyer: (02:38)

Uhhh. Let’s take this one off the air. I also love something that’s more relevant to a teachers audience that you said, that I think is super interesting, is how there’s ways that we can make the jobs harder for ourselves, that are optional. And what I hear from you is like, “I’m just not gonna freak out. We’re getting wet. We’re getting soggy. And I’m just not gonna freak out.” And I just think that that’s interesting to think about, the things that we take on, you know, that’s optional. Freaking out is optional, sometimes. And there’s other areas, I think, for parenting or for teaching, where it’s like, “Oh, do I really need to choose this particular battle?” And to reconsider that.

Bethany Lockhart Johnson: (03:19)

And in that spirit, our whole Wordle episode that we talked about? Do you remember you talked about how beautiful Wordle mistakes are, and how you keep learning from mistakes? I mean, you obviously want the final correct answer, but just, you know, when you get on a losing streak, Dan, I hope you’ll continue to pat yourself on the back.

Dan Meyer: (03:38)

Well, I will not be taking on a losing streak, or even lose one day. This is what’s gonna happen here. I’m just speaking that and putting it out in the universe.

Bethany Lockhart Johnson: (03:49)

Speak it!

Dan Meyer: (03:50)

But if it happens, I will be taking a long break from all human interaction. And lamenting, as I do.

Bethany Lockhart Johnson: (03:59)

Camping. Dan’s off in the woods, weeping.

Dan Meyer: (04:01)

That’s right. That’s right. Yeah. Well, we wanna share with you folks—an exciting programming note is that we are currently working very hard on producing a special fifth season of this podcast. You thought the other seasons were special? Let me tell you, this fifth season gives new meaning to the word “special.” And we can’t wait to tell you more about that. But in the meantime, Bethany, you wanna tell ’em what we’re up to in the meantime?

Bethany Lockhart Johnson: (04:26)

Well, Dan and I went back and we were having a conversation about some of our most favorite conversations, or the conversations that people bring up to us. Like, when we were at the CMC conference, or NCTM, folks, when we talk about the podcast, they’re like, “Oh, I loved this one.” “Oh, I love this one.” And that, to me, I don’t know, that is exciting. And so, while we’re putting together this new season over these next few weeks, we’re gonna feature a few of our favorite conversations from our first four seasons. Dan, four seasons!

Dan Meyer: (04:59)

We’ve been at this for four seasons! And I do want to just emphasize something you said, Bethany: that all of our conversations are our favorite conversations. They’re all our special children. What we just felt like you, the listeners, did not quite learn enough from some of these, and so we really needed you to hear them again to make sure you got everything that you should get out of them. So, let’s tell ’em who’s up first. And who’s up first is a conversation we had about problem-solving with Fawn Nguyen, who’s an advanced math team specialist here at Amplify. Been a former math coach, math teacher. Just really done the work, is what I’d say about Fawn.

Bethany Lockhart Johnson: (05:38)

If you have been listening to this podcast, you’re like, “Whoa, whoa. Wait, I have not missed an episode. I didn’t hear Fawn’s interview.” That is because we used to be video only, not podcasts. So this conversation with Fawn was from, what, our second season?

Dan Meyer: (05:55)

Yeah.

Bethany Lockhart Johnson: (05:56)

And we were on video. And another thing about it is it was, this is a conversation that, when folks talk about problem-solving, a lot of the responses we’ve gotten are like, “Wait, I’ve never thought of problem-solving this way.” In fact, you’ll hear us say that exact thing . So we really appreciated the time with Fawn. And yeah.

Dan Meyer: (06:17)

Enjoy it, folks. Especially enjoy Fawn’s—I think a four-part?—definition of problem-solving, a word that’s often kind of mushily defined. And Fawn really goes into, I think, precision and depth on it. So hope you folks enjoy it.

Dan Meyer: (06:35)

Give a wave, Fawn, to the camera. Would you? Cool. Fawn has been a teacher for a very long time. She is someone who could have left the classroom at any point and taken any number of jobs in the math-teaching universe. But I’ve always admired that Fawn has taught kids for a very long time, and that has given her, in my view, just a lot of clarity on what is important to her about students. I’ve seen her not get upset or obsessed with certain kinds of small niche issues that a lot of us, like, they get a lot of us down in the classroom, sometimes. And she’s maintained a laser focus on among many other things, problem-solving as a virtue in mathematics classrooms. So, please welcome Fawn to our show. Fawn, thanks so much for being here.

Fawn Nguyen: (07:18)

Hey, thank you so much. Thank you. I am so excited and honored that you guys invited me for this, Bethany and Dan.

Bethany Lockhart Johnson: (07:24)

Thank you for being here.

Fawn Nguyen: (07:26)

I love you, Bethany. Dan, I can tolerate, but I love you.

Dan Meyer: (07:30)

I really worked myself up there on that complimentary opening for you, and that’s how you get me back, here? OK. Problem-solving is fully on the consciousness of math teachers. Every math teacher knows that they need to say, like, “Yeah, oh, problem-solving. Yes. Love it. Do it. I dig it.” But even so, I feel like it’s become kind of a buzzword. Like, it’s not always obvious what that means…or am I doing problem-solving, really? So we’re curious: As someone who is a problem-solving expert, who is asked all over the world to talk about problem-solving: How do I know if I’m doing problem-solving in my classroom?

Fawn Nguyen: (08:12)

This is not my definition of it, but—nor am I an expert, by the way, Dan, thank you! but I try really, really hard and work on it!—my definition—or it’s not my definition, but I like it because it’s short and honest—is “problem-solving is what we do when we don’t know what to do.” And so—

Bethany Lockhart Johnson: (08:32)

Ooh!

Fawn Nguyen: (08:32)

—with that mind-frame, I’m hoping teachers think more about what they task. Because I think it gets mislabeled a lot, as to what is problem-solving. If the kids already know what to do, there’s a solution path. Then it’s not problem-solving.

Dan Meyer: (08:48)

Yeah. So what are examples then? An example of, like, I might call something problem-solving, but it it fails that particular definition that you just proposed there. Very short, very honest definition.

Fawn Nguyen: (08:59)

Just, it needs to have constraint and contradiction to what the kids think naturally. It should come as a surprise. There’s an element of surprise in it. There’s tension.

Dan Meyer: (09:11)

Maybe if there’s harder numbers or, you know, decimals or fractions in the same kind of procedure…I can feel myself thinking, “Yeah, this is hard. This is problem-solving. Problem-solving equals hard. But we already know what to do.”

Fawn Nguyen: (09:27)

Or just word problems. That’s the most common thing. As soon as it just has words attached to the math, it becomes problem-solving. But that’s just coding it to me. That’s just coding it with words, wrapping it around. It doesn’t mean anything until we read through and see if there’s true problem-solving in it.

Bethany Lockhart Johnson: (09:45)

Like, what’s the moment that it becomes problem-solving? In the way that you envision it?

Fawn Nguyen: (09:53)

Well, I think there’s the bigger problem-solving of really bringing a task…I wanna call it left field. It just—we rarely ever, if ever, see it in the regular coursework, but it can also be problem-solving if we just take what we expect the children to do at the end of the unit, how about we front-load that? To me, that’s also problem-solving. And I’m trying to encourage teachers to do that last problem first. The task writers put more thought—not that they don’t do the rest of it!—but you know, this is a special one, because they label it “challenge,” or “enrichment,” or “are you ready for more?” I’ve seen those. And so it is this really special problem. And I would love for us to think about “do that first.” Because my biggest fear is that because it comes at the end, that not all the children are involved. And so that to me is the saddest part. Because we might not get to it, right? In mathematics, we always think, “OK, well, let’s do these problems and then we don’t have time for the rest.” But I think that’s your richest task right there, is at the very end. So why don’t we front-load it, start it, and it’s OK—of course it’s OK!—that we don’t all get it. But the exposure to all students is so important. Talk about, you know, equity. Talk about that, everybody gets the same thing. If everyone dug into that first one with everybody’s collaboration, and we get to share that, and then we leave it, because “Yeah, OK, now we learn more of the other stuff, right? That hopefully support. And then we can go back. And now everybody had a chance to go get into it, and then we can come back to it as, as many problems, we need to go back to it.”

Bethany Lockhart Johnson: (11:37)

And that feels so powerful. Because it feels like—as a teacher, I’m thinking it would also inform my work, how I approach the unit, and how I approach the next steps. Right? Like, what kind of work would we be doing if I let it, if I allow it, to change the way that I approach the unit.

Dan Meyer: (11:58)

Yeah. What you’re describing is so powerful, and really asks a lot of the task designers as well, I think. There are problem-solving tasks that really require, like, abstract knowledge of the way formulas and variables fit together. And what I love about what Amplify is doing with their problem-solving, what you’re helping them do, is that they start with a true low floor that can draw in every student. And they might get stuck at different places; that’s fine. But everyone has a way in. That’s exciting.

Fawn Nguyen: (12:24)

It’s a big deal for me to have this opportunity and this trust, to integrate problem-solving into the curriculum, make it intentional. It’s difficult to implement. It is, to be honest. Because for me, what is a good task? This makes one of my four criteria: One is, it is non-routine. It is simply stated. Simply stated—that’s like your low floor. And then has multiple solutions. And the fourth: This makes it. Because that the teacher enjoys solving it. And so you have to enjoy solving it to bring it. Because so that way I can say to my kids, “This is my gift.” It really is, Because, you know, it has so much fun and joy. And I appreciate the struggle. And I wanna illustrate an example. For example, let’s say Dan and I are classmates. And I know that Dan gets A’s on his tests and the lowest score he ever got was an 89%. I, on the other hand, just sitting right next to him, I average D. I have a D average on everything. While Bethany, our amazing and wonderful teacher, brings in a problem. And when she brings it in, she says, “I worked on this problem. I found this problem; I worked on it; and I struggled with it. And it was amazing. I enjoyed it so much, I’m sharing it with you.” And all of a sudden it’s like, “OK!” And I”m sitting there, right? My teacher loves this problem so much; she’s bringing it in to share with us. And now, all of a sudden, it’s not, you know…and I know she only gives us non-routine. When she talks about problem-solving, it’s non-routine. So it’s not directly tied to the textbook that I’ve been struggling with. So it gives me a chance, it gives me a chance to contribute. To think differently. And now, suddenly I look forward to working with Dan, because in this space, in this problem-solving space, Dan is no longer Mr. Know-It-All. And so that’s what I mean by—I am saying this a hundred times, and I will not stop saying it—problem-solving levels the playing field. Our world is filled with unsolved problems. Are you kidding me? Right? We look around us, we have so many things that are not solvable, or people are working on it, and yet in mathematics, what happens? The bell rings; we start; and we solve everything during that time, and we leave. And that’s…yeah. No! No! We need to wrestle with problems.

Dan Meyer: (15:04)

And that was our conversation with Fawn Nguyen, which we first released way back in November, 2021. You folks can follow Fawn on Twitter at Fawn P Nguyen. Um, that’s @ F A W N P N G U Y E N.

Bethany Lockhart Johnson: (15:18)

So our episode today is a double feature. We are featuring another conversation that we loved from Season Two. This is a conversation with Christy Hermann Thompson and Kassia Omohundro Wedekind. They’re authors of the book, “Hands Down, Speak Out: Listening and Talking Across Literacy and Math.” And I don’t know if you remember, but not only did we have a conversation with them, but we did a whole book study on Facebook, a Facebook Live book study, over the course of several months. And it was one of my most favorite things. And then they did a webinar at the end. So our conversation with them on the podcast for me felt like such a beautiful dive into their book. And you know, I’ve said it before, you think you have something down in the classroom, you’re like, “Oh, hand-raising, I’ve got that down.” You think you have it down, but then somebody says, “OK, but have you ever considered thiiiis?” You know, and it just—

Dan Meyer: (16:17)

NOT that??

Bethany Lockhart Johnson: (16:18)

, Not that? Something totally different? And I loved talking with them. They’re a lot of fun. And I loved the book.

Dan Meyer: (16:23)

Wonderful conversation, great book. Very provocative ideas. Yeah. As someone who’s like, “OK, classroom management, I gotta get the hand-raising going…”. In the classroom before we talked, they offered a really potent challenge to some really standard classroom management ideas. Yeah. Loved it.

Bethany Lockhart Johnson: (16:40)

And this conversation also offers some really practical tips for facilitating student conversations. So we think you’ll enjoy it. Here’s our conversation with Christy and Kassia.

Bethany Lockhart Johnson: (16:53)

So today we are talking about “Hands Down, Speak Out: Listening and Talking Across Literacy and Math, K—5.” And we have the authors here, Kassia Omohundro Wedekind and Christy Hermann Thompson. Before we begin, let’s define what a hands-down conversation is. A hands-down conversation is just another way to structure discourse in your classroom. So in a typical classroom, you might see students raising their hand and waiting on a teacher to call on them before they share their ideas or engage in discussion. But in a hands-down conversation, it’s students’ ideas and voices that are taking the lead, and teachers are stepping back and focusing on listening and facilitating. Hello! Welcome to the Lounge.

Kassia Omohundro Wedekind: (17:44)

Thank you. We’re excited to be here. We’re fans of Season One. So we’re ready to go.

Dan Meyer: (17:50)

I was a secondary teacher but I still found so much to love about the book. I think facilitating conversations is just generally challenging, and perhaps even more so in math, where answers feel so tightly dialed-in, in lots of ways. But I loved it. I would love for you to just explain to our audience, what is a hands-down conversation and how does that contrast with what might be standard practice for some people? For some classes?

Christy Hermann Thompson: (18:13)

We just started using the term hands-down conversation because we wanted to differentiate the fact that there are different times to have different types of dialogue in the math classroom, in the literacy classroom. And we use this as one of our tools. Right? It’s not that every day, all day long, we’re very against hand-raising and should never see that again. We find that having this as one of our tools will be where we make really clear to the students that this is a moment where we’re turning it over to you to negotiate the space and make the decisions about when your voice comes in and who speaks next. You know, carry on kind of like that dinner table or that playground or, you know, whatever is your natural habitat for talk. And bringing that into the classroom and then hoping that it also someday transfers back out of the classroom back into the real world.

Bethany Lockhart Johnson: (19:09)

For the teachers who feel like that’s terrifying to have students just start speaking, and speaking without any sort of control or my little equity sticks, my little popsicle sticks, or my popcorn, or whatever other thing they’re using, what would you say is the first step?

Christy Hermann Thompson: (19:25)

So I think recognizing and naming that fear is part of it. And then saying to yourself, “What’s the worst that could happen here?” You know, I think the worst that could happen is that nobody talks and it’s totally silent. Or on the other hand, everybody talks at the same time. And both of those things will happen! And so what? It’s gonna be messy. And if you just acknowledge that it’s gonna look messy, and that’s part of growing; that every child as they learn—and every adult—is messy as they grow.

Kassia Omohundro Wedekind: (19:59)

And we have to see what kinds of things will happen in a hands-down conversation. Like there’s no prerequisite. You just start and then you see what happens. And those are the signs that tell you, “What can help this community grow as talkers and listeners? If everyone’s talking at the same time, and they’re kind of pushing each other over with their words by saying, “I have something to add!” “I have something to add!” or something like that, that’s a common thing that sometimes happens at the beginning. Then you know that the next step is to do some work about how to hold your thoughts back, how to add, wait for a space in the conversation to talk. And those are all things we need people to know out in the world.

Bethany Lockhart Johnson: (20:41)

So can you give an example of a micro-lesson that…well, first, what do you define as a micro-lesson? And then, what’s an example of one that maybe somebody who wants to dip their toe into the world of hands-down conversations that they could try?

Christy Hermann Thompson: (20:56)

The reason we call them micro-lessons is because we wanted to differentiate from the term mini lesson, which is out there and tends to describe about 10 or 15 minutes that might take place at the beginning of a work period of time. And this is much smaller than that. We usually follow a pretty predictable structure of naming. Here’s this thing that’s so helpful when we’re having conversations, and we love to especially be able to name something that a student had done: “Kaylee did this yesterday and it really helped us.” So what we might call that is, “And then here’s how Kaylee and other people might do that. They might do something like this.” And, you know, having a little anchor chart, so there’s a visual reminder of that skill. “So when we’re having a conversation today, you could try…”. And that’s basically a micro-lesson, just in a nutshell.

Kassia Omohundro Wedekind: (21:51)

When I was doing these hands-down conversations and I had more space for myself to listen as a teacher, I’m like, “Well, look at those kids, like, slumped onto the ground, like, pulling the carpet apart, but they’re having this amazing conversation!” And so I learned that listening is a lot broader. So in this lesson that I’m thinking about, we just talk with kids about what are lots of different ways that listening can look like. Sometimes with younger kids, I’ll take pictures of them listening in different ways and we’ll notice things about them together. And then we invite them to talk with their Turn and Talk partner about like, “How do you like to be listened to?” Or “Tell me about how you listen.” And just kind of broaden that. And really, I like to think that like the micro-lessons are for the kids, but also I’m saying those things to say them for myself. Like, “Remember, you don’t have to insist that kids are staring each other down in the eyes all the time. Like, “It’s OK when they’re doing other things. There’s other ways of listening.” So I think I’ve learned as much from the micro-lessons each time I do them as the kids that I’m trying to help grow as listeners and talkers, as well.

Dan Meyer: (23:00)

You folks have a lot of really eloquent ideals you express, around democratic classrooms and engagement. But you also have just some very tangible, practical…even down to, like, how a teacher positions their body in space and the way they use their eyes to connect. I think it would be really helpful for teachers to hear that it’s not just they’re signing on to a manifesto of sorts, but there’s ways they can act their way into the beliefs that you both expressed here.

Christy Hermann Thompson: (23:26)

When I’m starting hands-down conversation work, if I put myself a little bit outside of the circle and look down, and give myself a clipboard, it, it helps me bite my tongue and it helps me give better wait time and see what the kids are doing before I have that tendency to jump in and teach and do lots of teacher-y things.

Bethany Lockhart Johnson: (23:48)

Kassia and Christy, thank you so much for joining us. We are so excited to have this conversation and to share your work. This is exciting. And I feel like this conversation is just the beginning of a deeper dive into this book.

Kassia Omohundro Wedekind: (24:01)

Thanks for having us.

Christy Hermann Thompson: (24:02)

Thank you.

Dan Meyer: (24:03)

Thank you both.

Bethany Lockhart Johnson: (24:06)

Thanks so much for listening to our conversations with Fawn Nguyen and Christy Hermann Thompson and Kassia Omohundro Wedekind, both of which were released in 2021, part of our second season. And, you know, we hoped you enjoyed listening to it for a first, second, maybe third, fourth time.

Dan Meyer: (24:24)

Let’s be real. There’s some real fans out there.

Bethany Lockhart Johnson: (24:26)

We loved it then. We love it now!

Dan Meyer: (24:28)

Yep, yep, yep. Please keep in touch with the show by following us on Twitter at MTL Show, and join our Facebook group, the Math Teacher Lounge community. We’d love to hear from you there. And please stay tuned for more info on what we’re cooking up here in the Math Teacher Lounge. Thank you folks for listening. Take care, Bethany.

Bethany Lockhart Johnson: (24:47)

Bye now.

Stay connected!

Join our community and get new episodes every other Tuesday!

We’ll also share new and exciting free resources for your classroom every month.

What Fawn Nguyen says about math teaching

“It’s a big deal for me to have the opportunity and this trust to integrate problem-solving into the curriculum.”

– Fawn Nguyen

Specialist, Math Advance Team, Amplify Desmos Math

Meet the guests

Fawn Nguyen

Fawn began her work with Amplify in 2022 as a Math Advance Team Specialist. She was a math coach for a K-8 school district for three years, and a middle school teacher for 30 years before that. Fawn has also received a number of accolades as an educator.

Christy Thompson

Christy Thompson is a Literacy Coach in Fairfax County Public Schools in Virginia. She has spent her teaching and coaching career particularly focused on listening to and learning from the talk of our youngest students.

Kassia Omohundro Wedekind

Kassia Omohundro Wedekind spent many wonderful years as a classroom teacher and math coach in Fairfax County Public Schools in Virginia and now splits her time between being an independent math coach and an editor at Stenhouse Publishers. Her favorite days are spent in classrooms learning from the many ways children talk, listen and negotiate meaning together.

Three women are pictured separately in circular frames, each smiling and facing the camera, against a white background with overlapping pastel shapes—perfect for highlighting math teacher lounge discussions or sharing essential math teacher resources.
A graphic with the text "Math Teacher Lounge with Bethany Lockhart Johnson and Dan Meyer" on colored overlapping circles.

About Math Teacher Lounge: The podcast

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

Families and caregivers, welcome to Amplify Desmos Math California
6–12!

Welcome to the Amplify Desmos Math California Grade 6–12 Caregiver Hub. We’ve designed this space to help you support your student at every stage of their math journey.

In class, your student engages with digital lessons using devices as well as write-in Student Edition books. They also may be assigned digital or print practice outside of class. Below, you’ll find some suggestions and resources for how you can support their learning at home.

Learn more about Amplify Desmos Math California.

Para la versión en español, haga clic aquí.

Ilustración de una persona en silla de ruedas con un casco que dirige la colocación de una pieza triangular, rodeada de símbolos matemáticos.

Caregiver Unit Resources

For every unit of the program, we’ve created a Caregiver Resource that provides a summary of each lesson, plus a problem to try with your student (and an answer key). These resources will be available in both English and Spanish, as well as a glossary of key terms in both languages.

  • Coming soon!
  • Coming soon!

Unit refresh videos

Unit 1

  • Sub-Unit 1a – Calculating the Area of Parallelograms
  • Sub-Unit 1b – Calculating the Area of Triangles
  • Sub-Unit 2 – Determining the Surface Area of Rectangular Prisms

Unit 2

Unit 3

Unit 4

  • Sub-Unit 1 – Dividing Fractions Using Tape Diagrams
  • Sub-Unit 2 – Dividing Fractions Using Common Denominators
  • Sub-Unit 3 – Determining the Volume of Prisms With Fractional Dimensions

Unit 5

  • Sub-Unit 1 – Adding and Subtracting Decimals
  • Sub-Unit 2 – Multiplying Decimals Using Area Models
  • Sub-Unit 3 – Dividing Decimals Using Fractions
  • Sub-Unit 4 – Converting Between Fractions, Percents, and Decimals

Unit 6

  • Sub-Unit 1 – Writing and Solving Equations
  • Sub-Unit 2 – Writing Equivalent Expressions Using the Area Model
  • Sub-Unit 3 – Evaluating Expressions With Exponents
  • Sub-Unit 4 – Interpreting Graphs

Unit 7

  • Sub-Unit 1 – Ordering and Comparing Positive and Negative Numbers
  • Sub-Unit 2 – Identifying Solutions to Inequalities
  • Sub-Unit 3 – Plotting Points on the Coordinate Plane

Unit 8

  • Sub-Unit 1 – Creating Dot Plots
  • Sub-Unit 2 – Calculating Mean Absolute Deviation
  • Sub-Unit 3 – Interpreting Box Plots
  • Sub-Unit 4 – Predicting Population Using Sample Data (For use with Amplify Desmos Math New York)
  • Sub-Unit 5 – Predicting Sample Spaces Using Proportional Relationship (For use with Amplify Desmos Math New York)

Unit 1

  • Sub-Unit 1 – Using Ratios to Determine the Scale Factor Between Scaled Copies
  • Sub-Unit 2 – Using Ratios to Determine Unknown Scales in Scale Drawings

Unit 2

  • Sub-Unit 1 – Determining the Constant of Proportionality
  • Sub-Unit 2 – Writing Equations for Proportional Relationships
  • Sub-Unit 3 – Comparing Proportional Relationships
  • Sub-Unit 4 – Representing Proportional Relationships with Multiple Representations

Unit 3

  • Sub-Unit 1 – Determining the Circumference of a Circle
  • Sub-Unit 2 – Calculating Areas of Complex Shapes

Unit 4

Unit 5

  • Sub-Unit 1 – Adding and Subtracting Positive and Negative Number
  • Sub-Unit 2 – Dividing Integers
  • Sub-Unit 3 – Solving Real-World Problems Involving Positive and Negative Numbers

Unit 6

  • Sub-Unit 1 – Writing Equations from Descriptions and Tape Diagrams
  • Sub-Unit 2 – Solving Equations With Positive and Negative Numbers
  • Sub-Unit 3 – Solving Inequalities

Unit 7

  • Sub-Unit 1 – Determining Unknown Angle Measures
  • Sub-Unit 2 – Determining If Three Segments Form a Triangle
  • Sub-Unit 3 – Calculating the Surface Area of Prisms

Unit 8

  • Sub-Unit 1 – Predicting Sample Spaces Using Proportional Relationships
  • Sub-Unit 2 – Predicting Population Using Sample Data

Unit 1

  • Sub-Unit 1 – Determining Coordinates After a Rotation
  • Sub-Unit 2 – Using Rigid Transformations to Determine if Two Figures on the Grid are Congruent
  • Sub-Unit 3 – Determining Unknown Interior and Exterior Angles

Unit 2

  • Sub-Unit 1 – Performing Dilations on a Square Grid
  • Sub-Unit 2 – Determining Missing Side Lengths in Similar Triangles
  • Sub-Unit 3 – Calculating Slope By Drawing Similar Triangles on a Coordinate Plane

Unit 3

  • Sub-Unit 1 – Writing Equations to Represent Proportional Relationships
  • Sub-Unit 2 – Interpreting Slope and Intercepts of Linear Relationships
  • Sub-Unit 3 – Calculating Slope Given Two Points

Unit 4

  • Sub-Unit 1 – Solve Single-Variable Equations with Parentheses
  • Sub-Unit 2 – Solving Systems of Linear Equations by Graphing

Unit 5

  • Sub-Unit 1 – Justifying Whether a Graph Represents a Function
  • Sub-Unit 2 – Comparing Properties of Linear Functions
  • Sub-Unit 3 – Calculating Volumes of Cylinders

Unit 6

  • Sub-Unit 1 – Interpreting Points on a Scatter Plot
  • Sub-Unit 2 – Using Lines of Fit to Make Predictions
  • Sub-Unit 3 – Calculating Missing Values in Two-Way Tables

Unit 7

Unit 8

  • Sub-Unit 1 – Approximating Square Roots
  • Sub-Unit 2 – Calculating Unknown Side Lengths
  • Sub-Unit 3 – Identifying Rational and Irrational Numbers

Unit 1

  • Sub-Unit 1 – Determining If a Sequence is Arithmetic, Geometric or Neither
  • Sub-Unit 2 – Using Visual Patterns or Terms in the Sequence to Write Explicit Expressions for Arithmetic and Geometric Sequences

Unit 2

  • Sub-Unit 1 – Solving Linear Equations
  • Sub-Unit 2 – Solving Multi-Variable Linear Equations
  • Sub-Unit 3 – Graphing Solutions of Two-Variable Linear Inequalities

Unit 3

  • Sub-Unit 1 – Calculating Values in Two-Way and Relative Frequency Tables
  • Sub-Unit 2 – Comparing Data Using Mean and Standard Deviation
  • Sub-Unit 3 – Interpreting Slope and y-intercept in Context

Unit 4

  • Sub-Unit 1 – Evaluating Function Notation
  • Sub-Unit 2 – Writing Domain and Range with Inequalities
  • Sub-Unit 3 – Graphing Piecewise-Defined Functions
  • Sub-Unit 4 – Writing Recursive Definitions in Function Notation

Unit 5

  • Sub-Unit 1 – Solving Systems of Linear Equations by Substitution
  • Sub-Unit 2 – Graphing Solutions to Systems of Inequalities

Unit 6

  • Sub-Unit 1 – Writing Exponential Functions from Graphs
  • Sub-Unit 2 – Calculating Percent Change in Exponential Functions
  • Sub-Unit 3 – Writing Equivalent Expressions Using Radicals and Rational Exponents
  • Sub-Unit 4 – Writing Exponential Functions Involving Compound Interest

Unit 7

  • Sub-Unit 1 – Describing Key Features of Parabolas
  • Sub-Unit 2 – Graphing Quadratic Functions in Factored Form
  • Sub-Unit 3 – Writing Quadratic Functions in Vertex Form

Unit 8

  • Sub-Unit 1 – Rewriting Factored-Form Expressions in Standard Form
  • Sub-Unit 2 – Solving Quadratic Equations by Graphing
  • Sub-Unit 3 – Solving Quadratic Equations by Completing the Square
  • Sub-Unit 4 – Solving Quadratic Equations Using the Quadratic Formula

Unit 1

  • Sub-Unit 1 – Determining If a Sequence is Arithmetic, Geometric or Neither
  • Sub-Unit 2 – Using Visual Patterns or Terms in the Sequence to Write Explicit Expressions for Arithmetic and Geometric Sequences

Unit 2

  • Sub-Unit 1 – Solving Linear Equations
  • Sub-Unit 2 – Solving Multi-Variable Linear Equations
  • Sub-Unit 3 – Graphing Solutions of Two-Variable Linear Inequalities

Unit 3

  • Sub-Unit 1 – Solving Systems of Linear Equations by Substitution
  • Sub-Unit 2 – Graphing Solutions to Systems of Inequalities
  • Sub-Unit 3 – Writing Equations for Parallel and Perpendicular Lines

Unit 4

  • Sub-Unit 1 – Evaluating Function Notation
  • Sub-Unit 2 – Writing Domain and Range with Inequalities
  • Sub-Unit 3 – Writing Recursive Definitions in Function Notation

Unit 5

  • Sub-Unit 1 – Writing Exponential Functions from Graphs
  • Sub-Unit 2 – Calculating Percent Change in Exponential Functions
  • Sub-Unit 3 – Writing Exponential Functions Involving Compound Interest

Unit 6

  • Sub-Unit 1 – Drawing Perpendicular Bisectors
  • Sub-Unit 2 – Determining Coordinates After a Rotation
  • Sub-Unit 3 – Using Rigid Transformations to Determine if Two Figures on the Grid are Congruent

Unit 7

  • Sub-Unit 1 – Calculating Values in Two-Way and Relative Frequency Tables
  • Sub-Unit 2 – Comparing Data Using Mean and Standard Deviation
  • Sub-Unit 3 – Interpreting Slope and y-intercept in Context

Access Amplify Desmos Math California at home.

Your student will have access to all learning, practice, and assessment materials through the Amplify platform. Students can access the digital curriculum in school and at home by following these simple instructions.

  • Click the Amplify Desmos Math California button.
  • Select Log in with Amplify.
  • Enter the username and password provided by your student’s teacher.
  • Select the desired grade level.

Once logged in, you and your student can view work by opening previous assignments.

Learn how to navigate the student home page.

Support math learning at home.

You can support your student’s math learning outside of school in many ways:

Relate math to daily activities at home, whether you’re baking, grocery shopping, or planning a trip. Your student can help you calculate the prices when you use a coupon, figure out how to cut a recipe in half, or determine the amount of gas you’ll need to make it to your destination.

Invite your student to walk you through how they solved each problem or talk about any parts that were challenging for them. To encourage the use of math language, consider asking, “How do you know?,” “How can you show your thinking?,” or “How would you describe that?” If students get stuck, consider asking questions like, “What information do you know here?” or “How could you represent this problem?”

Emphasize that getting stuck is part of the process and a necessary part of learning. Many students (and adults!) fear making mistakes, but research shows that making mistakes helps your brain grow. When your student gets stuck on a problem, encourage them to try different strategies, even if they think they can’t do it or will get it wrong.

We hope your student enjoys exploring math, working with friends to solve problems, and learning new and interesting concepts. And we hope you enjoy this exciting math journey with them!

Get more information.

Have a question about Amplify Desmos Math California? Visit our Help Library to search for articles with answers to your program questions. For additional support, please contact your student’s teacher.

Families and caregivers, welcome to Amplify Desmos Math California K–5!

Welcome to the Amplify Desmos Math California K–5 Caregiver Hub. We hope your student enjoys exploring math, working with friends to solve problems, and learning new and interesting concepts. And we hope you enjoy the math journey with them! Below are some suggestions and resources for how you can support their learning at home.

Learn more about Amplify Desmos Math California.

Para la versión en español, haga clic aquí.

Three children are engaging in a math activity with a grid and orange markers. One child holds a "9-3" card. The background includes beach elements and abstract math symbols.

Caregiver Unit Resources

For every unit of the program, we’ve created a Caregiver Resource that provides a summary of key concepts, plus a problem from the lesson practice set you can work through with your student. You’ll find a Caregiver Resource for each unit, in both English and Spanish.

Unit 1: Math in Our World

Unit 2: Numbers 1–10

Unit 3: Flat Shapes All Around Us

Unit 4: Understanding Addition and Subtraction

Unit 5: Make and Break Apart Numbers Within 10

Unit 6: Numbers 0–20

Unit 7: Solid Shapes All Around Us

Unit 1: Adding, Subtracting, and Working With Data

Unit 2: Addition and Subtraction Story Problems

Unit 3: Adding and Subtracting Within 20

Unit 4: Numbers to 99

Unit 5: Adding Within 100

Unit 6: Measuring Lengths of Up to 120 Length Units

Unit 7: Geometry and Time

Unit 1: Working With Data and Solving Comparison Problems

Unit 2: Adding and Subtracting Within 100

Unit 3: Measuring Length

Unit 4: Addition and Subtraction on the Number Line

Unit 5: Numbers to 1,000

Unit 6: Geometry and Time

Unit 7: Adding and Subtracting Within 1,000

Unit 8: Equal Groups

Unit 1: Introducing Multiplication

Unit 2: Area and Multiplication

Unit 3: Wrapping Up Addition and Subtraction Within 1,000

Unit 4: Relating Multiplication to Division

Unit 5: Fractions as Numbers

Unit 6: Measuring Length, Time, Liquid Volume, and Weight

Unit 7: Two-Dimensional Shapes and Perimeter

Unit 1: Factors and Multiples

Unit 2: Fraction Equivalence and Comparison

Unit 3: Extending Operations to Fractions

Unit 4: From Hundredths to Hundred Thousands

Unit 5: Multiplicative Comparison and Measurement

Unit 6: Multiplying and Dividing Multi-Digit Numbers

Unit 7: Angles and Properties of Shapes

Unit 1: Volume

Unit 2: Fractions as Quotients and Fraction Multiplication

Unit 3: Multiplying and Dividing Fractions

Unit 4: Multiplication and Division With Multi-Digit Whole Numbers

Unit 5: Place Value Patterns and Decimal Operations

Unit 6: More Decimal and Fraction Operations

Unit 7: Shapes on the Coordinate Plane

Unit refresh videos

Unit 1

  • Sub-Unit 2 – Answering the Question “Are There Enough?”
  • Sub-Unit 3 – Counting and Cardinality

Unit 2

  • Sub-Unit 1 – Comparing 2 Groups Using the Terms More, Fewer, and Same
  • Sub-Unit 2 – Counting Objects in Different Orders
  • Sub-Unit 3 – Making Groups to Represent Numerals
  • Sub-Unit 4 – Comparing Written Numbers

Unit 3

  • Sub-Unit 1 – Identifying Circles and Triangles in Different Sizes and Orientations
  • Sub-Unit 2 – Using Positional Words to Describe the Location of Shapes

Unit 4

  • Sub-Unit 1 – Adding and Subtracting Within 10
  • Sub-Unit 2 – Representing Addition and Subtraction Story Problems
  • Sub-Unit 3 – Finding the Values of Expressions

Unit 5

Unit 1

  • Sub-Unit 1 – Organizing Data to Count How Many in Each Category
  • Sub-Unit 2 – Counting on to Add and Counting Back to Subtract
  • Sub-Unit 3 – Representing 2 Categories of Data With Addition Equations

Unit 2

  • Sub-Unit 1 – Representing and Solving Add To, Change Unknown Story Problems
  • Sub-Unit 2 – Using Addition or Subtraction to Find an Unknown Part of a Total Amount
  • Sub-Unit 3 – Solving Compare, Difference Unknown Problems
  • Sub-Unit 4 – Making Sense of Story Problems With Different Questions

Unit 3

  • Sub-Unit 1 – Finding a Difference Using the Relationship Between Addition and Subtraction
  • Sub-Unit 2 – Using the Structure of Teen Numbers to Find Missing Addends
  • Sub-Unit 3 – Breaking Apart Addends to Make 10 When Adding
  • Sub-Unit 4 – Subtracting From Teen Numbers in Parts to Get to 10

Unit 4

  • Sub-Unit 1 – Adding a Ten To and Subtracting a Ten From Multiples of 10
  • Sub-Unit 2 – Representing and Writing Two-Digit Numbers
  • Sub-Unit 3 – Comparing Two-Digit Numbers
  • Sub-Unit 4 – Representing the Same Two-Digit Number With Different Amounts of Tens and Ones

Unit 5

  • Sub-Unit 1 – Adding a Number of Tens or Ones to a Two-Digit Number
  • Sub-Unit 2 – Adding a Two-Digit Number and a One-Digit Number When Composing a Ten is Necessary
  • Sub-Unit 3 – Adding a Two-Digit Number and a Two-Digit Number When Composing a Ten is Necessary

Unit 1

  • Sub-Unit 1 – Choosing Strategies to Add Within 20
  • Sub-Unit 2 – Representing Data in a Picture Graph and Bar Graph
  • Sub-Unit 3 – Finding the Difference Between 2 Categories Shown on a Bar Graph

Unit 2

  • Sub-Unit 1 – Strategies to Solve Story Problems Involving Money
  • Sub-Unit 2 – Decomposing a Ten When Subtracting by Place
  • Sub-Unit 3 – Making Sense of Story Problems About Comparing That Use the Word More
  • Sub-Unit 4 – Making Sense of One- and Two-Step Story Problems

Unit 3

  • Sub-Unit 1 – Measuring the Length of an Object in Centimeters Using a Ruler
  • Sub-Unit 2 – Measuring Objects in Inches and Feet
  • Sub-Unit 3 – Representing Measurement Data on a Line Plot

Unit 4

  • Sub-Unit 1 – Locating Numbers on Number Lines
  • Sub-Unit 2 – Representing Addition and Subtraction Strategies on a Number Line

Unit 5

  • Sub-Unit 1 – Composing Hundreds to Represent Three-Digit Numbers
  • Sub-Unit 2 – Comparing Three-Digit Numbers

Unit 1

  • Sub-Unit 1 – Representing Equal-Groups Situations With Equal-Groups Drawings
  • Sub-Unit 2 – Representing Arrays With Multiplication Equations
  • Sub-Unit 3 – Representing Data Using Scaled Bar Graphs

Unit 2

  • Sub-Unit 1 – Determining the Area of a Rectangle Using Counting and Skip Counting
  • Sub-Unit 2 – Determining the Area of a Rectangle Using Multiplication
  • Sub-Unit 3 – Decomposing to Determine the Area of Rectilinear Figures

Unit 3

  • Sub-Unit 1 – Using the Expanded Form and Partial Sums Algorithms to Add
  • Sub-Unit 2 – Using the Expanded Form Algorithm to Subtract
  • Sub-Unit 3 – Rounding Numbers to the Nearest Hundred and Ten Using Number Lines
  • Sub-Unit 4 – Representing and Solving Two-Step Story Problems Involving Multiplication

Unit 4

  • Sub-Unit 1 – Representing Division Situations With Equal-Groups Drawings
  • Sub-Unit 2 – Representing an Equal-Groups Problem With a Division and Multiplication Equation
  • Sub-Unit 3 – Using the Distributive Property of Multiplication to Multiply a One-Digit Number by a Teen Number
  • Sub-Unit 4 – Decomposing Dividends to Divide

Unit 5

  • Sub-Unit 1 – Writing Unit and Non-Unit Fractions
  • Sub-Unit 2 – Locating Non-Unit Fractions on the Number Line
  • Sub-Unit 3 – Identifying Equivalent Fractions
  • Sub-Unit 4 – Comparing Fractions With the Same Denominator or Same Numerator

Unit 1

  • Sub-Unit 1 – Using Factor Pairs to Determine All the Possible Side Lengths of a Rectangle With a Given Area
  • Sub-Unit 2 – Finding Multiples and Common Multiples

Unit 2

  • Sub-Unit 1 – Locating Fractions with Different Denominators On the Same Number Line
  • Sub-Unit 2 – Using Multiples or Factors to Determine Equivalent Fractions
  • Sub-Unit 3 – Comparing Fractions Using Equivalent Fractions With Common Denominators

Unit 3

  • Sub-Unit 1 – Adding and Subtracting Fractions with the Same Denominator
  • Sub-Unit 2 – Multiplying Whole Numbers and Fractions
  • Sub-Unit 3 – Adding Fractions with Denominators of 10 and 100

Unit 4

  • Sub-Unit 1 – Writing Fractions With Denominators of 10 and 100 as Decimals
  • Sub-Unit 2 – Relationships Between Place Values in Multi-Digit Whole Numbers
  • Sub-Unit 3 – Comparing Multi-Digit Numbers
  • Sub-Unit 4 – Using the Standard Algorithm to Subtract When Decomposing is Required

Unit 5

  • Sub-Unit 1 – Representing Multiplicative Comparison Situations
  • Sub-Unit 2 – Converting Measurements in the Metric System
  • Sub-Unit 3 – Comparing Measurements

Unit 1

  • Sub-Unit 1 – Using the Layered Structure of a Rectangular Prism to Determine the Volume
  • Sub-Unit 2 – Determining the Volume of a Rectangular Prism
  • Sub-Unit 3 – Determining the Volume of Figures Composed of Rectangular Prisms

Unit 2

  • Sub-Unit 1 – Representing Equal-Sharing Story Problems with Fractional Quotients
  • Sub-Unit 2 – Representing Fractions with Equivalent Multiplication and Division Expressions
  • Sub-Unit 3 – Determining the Area of a Rectangle With a Fractional Side Length

Unit 3

  • Sub-Unit 1 – Representing Multiplication of 2 Unit Fractions with Diagrams
  • Sub-Unit 2 – Dividing Whole Numbers by Unit Fractions

Unit 4

  • Sub-Unit 1 – Multiplying Multi-digit Whole Numbers Using the Partial Products and Standard Algorithms
  • Sub-Unit 2 – Dividing Multi-Digit Whole Numbers Using Partial Quotients
  • Sub-Unit 3 – Representing Multi-Step Story Problems with Equations

Unit 5

  • Sub-Unit 1 – Comparing Decimals
  • Sub-Unit 2 – Using the Standard Algorithms to Add and Subtract Decimals
  • Sub-Unit 3 – Multiplying a Whole Number and a Decimal Using the Distributive Property
  • Sub-Unit 4 – Dividing Whole Numbers by Decimals Less Than 1

Access Amplify Desmos Math California at home.

In addition to a print Student Edition workbook, your student will have digital access to all learning, practice, and assessment materials through the Amplify platform. The digital curriculum can be accessed in school and at home by following these instructions:

  • Click the Amplify Desmos Math California button.
  • Select Log in with Amplify.
  • Enter your student’s username and password provided by your student’s teacher.
  • Select the desired grade level.

Once logged in, caregivers can view student work by opening previous assignments.

Learn how to navigate the student home page.

Materials overview

Amplify Desmos Math California address blended learning with supporting print materials and a unique digital experience. All K–5 lessons are available in a write-in Student Edition book. Many of the lessons include hands-on activities with manipulatives, tools that help students understand abstract concepts by making them tangible. Your student will also work with digital devices for an age-appropriate number of lessons.

When students use devices, teachers can monitor their work in real time, making sure they get the exact support that they need at every part of the lesson, in and outside of class.

Una interfaz digital que muestra los nombres anónimos de los estudiantes y su estado de participación en diversas actividades. La interfaz incluye opciones para realizar resúmenes, capturas de pantalla y vistas individuales de los estudiantes.

Components of a lesson

Students in an Amplify Desmos Math California classroom can be seen (and heard!) asking questions, debating answers, justifying their thinking, grappling with problems, and working together and independently.

A typical Amplify Desmos Math California lesson includes:

  • Warm-up: A short, attention-getting problem to pique students’ interest in the lesson.
  • Activities: One to two mini-activities that challenge students’ problem-solving skills.
  • Synthesis: Discussion to review and bring together the important concepts from the lesson.
  • Show What You Know and Reflection: Questions for students to show what they know from the lesson. (Note: The Show What You Know lesson assessment is optional for kindergarten and grade 1.)
  • Centers: Student-led activity stations that reinforce the math learned during lesson activities through interactive and often game-like formats. In kindergarten and grade 1, time for Centers is built into the last 15 minutes of every lesson.

To support, strengthen, and stretch students’ learning after the lesson, Amplify Desmos Math California offers options for:

  • Differentiation: Mini-Lessons, Centers, Extensions, Boost Personalized Learning, and Fluency Practice.
  • Practice: Additional problems your student’s teacher may assign for classwork or homework.

Support math learning at home.

You can support your student’s math learning outside of school in many ways:

Your student’s teacher may assign practice problems at the end of each lesson for classwork or homework. If your student has already completed the practice problems for the lesson, ask them to walk you through how they solved each problem, or talk about any parts that were challenging for them. Ask your student follow-up questions to encourage the use of math language as they explain their thinking, such as, “How do you know?,” “How can you show your thinking?,” or “How would you describe that?” If students are stuck, ask support questions, such as, “What information do you know here?” or “How could you represent this problem?”

Your student’s teacher may introduce a Center game with students in the lesson or beyond the lesson. These games are aligned to the math of the unit and can be played with students outside of class. Your student’s teacher may introduce a Center game to students during or after completing a lesson, or you may need to teach the game before you play by using easy-to-follow instructions. Sign up for a free account to explore Centers and additional K–5 content in our Featured Collections.

Each unit in Amplify Desmos Math begins with a read-aloud story to engage students and provide context for the math of the unit. Elements and characters from the Unit Story then appear in lessons throughout the unit.

Kindergarten

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5

Relate math to daily activities at home, whether grocery shopping, preparing a meal, or planning for a trip to the store. Your student can help you figure out how many more apples there are than oranges in the grocery cart, show how to split a sandwich into fourths, or figure out how much change you’ll receive in exchange for a $10 bill. Encourage your student to point out ways that you use math in your daily tasks.

Remind your student that getting stuck is part of the process and a necessary—beneficial, even!—part of learning. Many students (and adults) fear making mistakes. But research shows that making mistakes helps our brains grow. When your student gets stuck on a problem, encourage them to keep trying different strategies, even if they’re not sure if they are right.

Get more information.

Have a question about Amplify Desmos Math California? Visit our help library to search for articles with answers to your program questions. For additional support, please contact your student’s teacher.

Welcome, Florida reviewers!

To view this protected page, enter the password below:



Welcome to Amplify Desmos Math California!

California educators, welcome to math that motivates. Introducing Amplify Desmos Math California, a curiosity-driven TK–12 program that builds lifelong math proficiency. Each lesson poses problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals. Students encounter math problems they’re eager to solve, while teachers spend more time where it’s most impactful—creating a collaborative classroom of learners.

Keep reading to learn more about the program and explore sample materials.

About the program

Amplify Desmos Math California is a TK–12 core math program designed to meet the CA Math Framework and the Common Core State Standards for Mathematics. Amplify Desmos Math California thoughtfully combines conceptual understanding, procedural fluency, and application through a structured approach to problem-based learning. Through engaging activities, Amplify Desmos Math California invites curiosity and math discourse into the classroom to create lifelong math proficiency.

Continue reading to learn more about the K–8, Algebra 1, and Math 1 programs and to explore sample materials. (Spanish, TK and high school materials are in development and will be available in the 2026–27 school year. Geometry and Algebra 2 beta pilots will be available in the 2025–26 school year.)

A powerful math suite

Amplify Desmos Math California combines the best of assessment, problem-based core lessons, personalized practice, and intervention into a coherent and engaging experience for both students and teachers.

Laptop displaying a math problem interface with student assessment reports in the background.

Screening and progress monitoring

mCLASS Math benchmark assessments, along with the embedded program assessments, measure not just what students know, but how they think. The asset-based assessment system provides teachers with targeted, actionable insights, linked to core instruction and intervention resources. Unit- and lesson-level core assessments give teachers data at their fingertips to guide and differentiate instruction. In grades 3–8, core assessments and performance tasks are designed to prepare students for success on the Smarter Balanced Assessment Consortium (SBAC) testing.

Core instruction

Amplify Desmos Math California core lessons pair problems students are eager to solve with clear instructional moves for teachers. Each lesson is designed to tell a story by posing problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals. With built-in differentiation and multilingual/English learner support, Amplify Desmos Math California enables every student to find success in the math classroom.

A digital math activity asks users to choose a block that makes 10 with a given number; a worksheet shows a similar "make 10" math exercise with blank spaces to fill in.
A digital educational screen showing a math problem about converting meters to centimeters. It involves a diving toy sinking 5 meters into a pool. Text prompts users to input the conversion.

Personalized Learning

Boost Personalized Learning activities help students access grade-level math through engaging, independent digital practice. Responsive Feedback adjusts to students’ work, providing item-level adaptivity to further support their learning.

Differentiation and intervention

Amplify Desmos Math views differentiation as an ongoing process where teachers are both reactive and proactive to student needs, ensuring that all students have clear pathways to proficiency. Through rich data and teacher support, Amplify Desmos Math uses flexible categories of intervention and enrichment that adjust daily according to student thinking.

In-the-moment differentiation supports are available for every lesson, both digitally and in the print Teacher Edition.

Two pages of a math worksheet and teacher’s guide about determining coordinates after a rotation, featuring diagrams, tables, and step-by-step problem-solving instructions.

An approach that supports teachers

Clear, step-by-step instructional moves help teachers plan and teach student-centered lessons that use
student thinking to differentiate instruction and guide to grade-level understanding. They include:

  • Guidance on what to listen for and how
    to respond.
  • Clear learning objectives to keep learning on
    track for each activity and lesson.
  • Daily reinforcement activities to provide direct
    instruction when needed.
A woman writes on a whiteboard using math teaching resources while a man sits at a desk, smiling. There are books and papers on the desk.
Network diagram with interconnected nodes labeled: Measure and Compare Objects, Represent Data, Dollars and Cents, Problem Solving with Measure, Skip Counting to 100, Number Strategies, Squares in an Array, Seeing Fraction in Shapes.

Big Ideas

The CA Mathematics Framework encourages a shift from power standards to thinking about math as a series of connected Big Ideas. Each Amplify Desmos Math California lesson supports one or more Big Ideas and the connections between them. The grade-level diagram changes through the course based on the math concepts addressed within.

Please refer to the following Keeping the Big Ideas at the Center documents to review specific lesson designs and alignments with the Big Ideas for each grade level.

Click here to see how the Big Ideas are represented within the K–8 core lessons.

Focus, coherence, and rigor

Amplify Desmos Math California incorporates the Drivers of Investigation (DIs) and Content Connection (CCs) throughout the program. Throughout the year, students engage with open and authentic tasks of varying durations—from lesson activities to unit-level Explore lessons and longer course-level Investigations. Every lesson and investigation opportunity is grounded in the why, how, and what of the learning experience, and helps teachers bring mathematical concepts to life.

An educational slide on addition story problems, detailing goals for solving problems, language goals, and strategies using equal expressions, tens and ones, and number sense.

Please refer to the following Amplify Desmos Math California alignments to the Standards for Mathematical Practice, provided by grade level.

A screen titled "Match the Score" with a 2D target graph showing various scores. Instructions request four ordered pairs to total 400. Four pairs are listed: (4, 2), (7, 4), (7, 6), (10, 6). A "Try again" button is shown.

Built-in authentic tasks

Mathematics is not learning in isolation. Students are connected to each other’s thinking and can use math to understand the world. With accessible invitations to authentic tasks, all students can experience mathematical success. Amplify Desmos Math California provides these authentic invitations in a variety of ways:

Each unit begins with an “Explore” lesson, which allows students to engage with authentic exploration in low-floor, high-ceiling tasks. These tasks are designed to promote an inclusive and differentiated learning environment—allowing all students to access basic mathematical concepts, while offering advanced exploration and problem-solving for those ready for more complex work.

Our innovative course-level investigations are designed to facilitate multi-part exploration. Students grapple with Big Ideas, diving deep into key concepts that encourage comprehensive understanding. Data science is infused into the approach, giving students a solid foundation from which to interpret and apply data-driven solutions. They’re also encouraged to understand and appreciate the interrelatedness of Earth’s environmental systems via our lesson’s focus on the Environmental Principles and Concepts (EP&Cs).

Explicit support for multilingual/English learners

Three overlapping educational worksheets for first grade math, including a cover page, a list of learning goals, and a lesson plan with bilingual English and Spanish text.

Amplify partnered with the English Learner Success Forum (ELSF), a national nonprofit organization that advocates for high-quality instructional materials that are inclusive of multilingual/English learners (ML/ELs). ELSF reviewed Amplify Desmos Math California, and provided directional guidance and feedback to ensure that the program reflects their research-based instructional strategies for multilingual/English learners.

Amplify Desmos Math California recognizes the diverse language needs of our students and is designed to be inclusive. Each lesson in the program features a parallel language activity, designed to be available to all students, in the form of teacher guidance and student activities. The activities in the Math Language Development Resources have level ELD differentiation to support all levels of ML/ELs. This approach ensures that all students, regardless of their language skills, can participate fully, grasp the material, and excel in their mathematical journey.

Our Multilingual Glossary includes, in addition to Spanish, nine languages: Simplified Mandarin, Tagalog, Vietnamese, Arabic, European French, Russian, Brazilian-Portuguese, Haitian-Creole, and Urdu.

Amplify Desmos Math California will include Spanish student-facing materials beginning in the 2026–27 school year.

Assessments

By starting with what students already know, Amplify Desmos Math helps build a strong foundation for success to guide and support future learning. Teachers are empowered to transform every classroom into an engaged math community that invites, values, and develops student thinking. With explicit guidance on what to look for and how to respond, teachers can effectively support students as they develop their understanding.

Open math workbook showing an End-of-Unit Assessment with multiple-choice and written response questions on fractions and equivalent values.

Program assessments

A variety of performance data in Amplify Desmos Math provides evidence of student learning while helping students bolster their skills and understanding.

Unit-Level Assessments

Our embedded unit assessments offer key insights into students’ conceptual understanding of math. These assessments provide regular, actionable information about how students are thinking about and processing math, with both auto-scoring and in-depth rubrics that help teachers anticipate and respond to students’ learning needs.

Lesson-Level Assessments

Amplify Desmos Math lessons are centered around sense-making and in-the-moment feedback. Daily moments of assessment provide valuable evidence of learning for both the teacher and student.

Data and reporting

Amplify Desmos Math provides teachers and administrators with unified reporting and insights so that educators have visibility into what students know about grade-level math—and can plan instruction accordingly for the whole class, small groups, and individual students.

A table displays students' performance levels across various items, with a detailed score distribution for a specific assessment shown in a separate overlay. Geometric design elements accented the background, providing an engaging visual touch ideal for any math classroom using Amplify Desmos Math.

Assessment reports

Reporting functionality integrates unit assessments, lesson assessments, personalized learning, Benchmark assessments, and Progress Monitoring for a comprehensive look at student learning.

Our reports show proficiency and growth by domain, cluster, standard, and priority concept using performance data from unit assessments. Then our reports highlight areas of potential student need to allow teachers to modify their instruction and target differentiated support.

At-a-glance views of unit-level assessment results inform your instructional planning, and you can also drill down to item-level analysis.

Standards reports

Our standards report allows you to monitor proficiency at the class and individual student levels. Proficiency and growth are shown by domain, cluster, standard, and priority concepts. Areas of potential student need are highlighted to allow teachers to modify their instruction and target differentiated support.

Administrator reports

Amplify Desmos Math provides a complete picture of student, class, and district performance, allowing administrators to implement instructional and intervention plans.

  • Track student, class, and district performance with usage, completion, and assessment data.
  • Accurately group students and classes with the Benchmark and Progress Monitoring data of mCLASS Assessments and allow teachers to reliably implement and track the progress of Tier 2 and Tier 3 intervention.
  • Provide one data-driven solution that educators can rely on for high-quality math instruction.

Elementary review resources

To learn about the elementary program, please start by watching the Amplify Desmos Math California Elementary Program Overview video.

For additional program information and helpful navigation tips, download the Amplify Desmos Math California Elementary Program Guide.

View the Elementary Program Components Guide here. 

View the Hands-on manipulatives brochure here.

Middle School review resources

To learn about the middle school program, please start by watching the Amplify Desmos Math California Middle School Program Overview video.

For additional program information and helpful navigation tips, download the Amplify Desmos Math California Middle School Program Guide.

View the Middle School Program Components Guide here.

View the middle school manipulative kit components here.

The digital experience

In Amplify Desmos Math, embedded interactions and animations allow students to test predictions, get feedback, share ideas, and connect representations.

The digital interactions included in lesson activities are designed to elicit student thinking in a way that feels fun and inviting. As students play and explore math concepts, teachers can highlight the ideas that students share, connect those ideas to other students’ ideas, and build on their thinking through productive class discussion.

Watch the video to preview the digital experience and for helpful platform navigation tips.

A laptop displays a math activity about platform heights and tube length, while a worksheet titled "Hamster Homes" is visible in the background.

Explore grade level samples

All lessons in Amplify Desmos Math California include print materials and rich digital experiences. Every lesson is supported with Student Edition pages, teacher presentation screens, and interactive digital resources for practice and differentiation. Some lessons also enable students to use devices to interact with lesson content.

You’ll find sample materials by grade level in the following drop-downs. Please refer to your physical samples and the digital platform (accessed through the demo account provided by your account executive) for a comprehensive program review.

Scope and Sequence

Math 2–3 is currently being developed and will be available in the 2026–27 school year.

Cover of "Amplify Desmos Math California Teacher Edition GEO Volume 1" featuring abstract geometric illustrations and people engaged in mathematical activities.
Scope and Sequence (National Edition)

The Amplify Desmos Math Geometry Beta National Edition is available for piloting in the 2025–26 school year. Amplify Desmos Math California Geometry will be available in the 2026–27 school year.

Cover of "Amplify Desmos Math California Geo Volume 1 Student Edition" featuring geometric shapes and small illustrated people interacting with mathematical elements.
Geometry sampler

This sampler includes Teacher Edition front matter for program overview information, plus Teacher Edition and Student Edition pages for Units 1–2.

Cover of "Amplify Desmos Math California A2 Teacher Edition," featuring a Ferris wheel, math graphs, and students interacting with mathematical concepts.
Scope and sequence (National Edition)

The Amplify Desmos Math Algebra 2 Beta National Edition is available for piloting in the 2025–26 school year. Amplify Desmos Math California Algebra 2 will be available in the 2026–27 school year.

Cover of "Amplify Desmos Math California Student Edition A2 Volume 1" featuring mathematical graphs, a Ferris wheel, and students interacting with math concepts.
Algebra 2 sampler

This sampler includes Teacher Edition front matter for program overview information, plus Teacher Edition and Student Edition pages for Units 1–2.

Contact us

For questions, samples, or more information, please contact your local Amplify account executive:

Erin King
Sales Director, CA
(512) 736-3162
eking@amplify.com

Northern CA
Wendy Garcia
Senior Account Executive
(510) 368-7666
wgarcia@amplify.com

Bay Area
Lance Burbank
Account Executive
(415) 830-5348
lburbank@amplify.com

Central Valley and Central Coast
Demitri Gonos
Senior Account Executive
(559) 355-3244
dgonos@amplify.com

Ventura and L.A. County
Jeff Sorenson
Associate Account Executive
(310) 902-1407
jsorenson@amplify.com

Orange and L.A. County
Lauren Sherman
Senior Account Executive
(949) 397-5766
lsherman@amplify.com

San Bernardino and L.A. County
Michael Gruber
Senior Account Executive
(951) 520-6542
migruber@amplify.com

Riverside and L.A. County
Brian Roy
Senior Account Executive
(818) 967-1674
broy@amplify.com

San Diego County
Kirk Van Wagoner
Senior Account Executive
(760) 696-0709
kvanwagoner@amplify.com

Under 2300 students in Bay Area, Sacramento Valley, and Northern Counties
Kevin Mauser
Lead Account Executive
(815) 534-0148
kmauser@amplify.com

Under 2300 students in Southern CA, Central Coast, and Southern Central Valley Counties
Charissa Snyder
Account Executive
(720) 936-6802
chsnyder@amplify.com

E komo mai, Hawai’i review committees!

Aloha Hawai’i teachers and educators,

We’re excited to be part of your review process for curriculum, assessment, and professional learning.

Amplify programs are designed to make a difference—and the results are undeniable. Explore our unique research-based approaches built right into these high-quality instructional materials that are aligned to Hawai’i State Department of Education standards.

With great respect for what you do, mahalo.

The Hawai’i Amplify team

Illustrated stickers of a pineapple, coral, sea turtle, whale, fish, and hibiscus flower arranged on a transparent background—perfect for Indiana elementary schools exploring nature themes with Amplify Science.
Illustration of a bear on a rock overlooking a campsite in a valley with mountains, trees, tents, and people; includes an EdReports review badge in the lower right corner.

Amplify CKLA

Using a fundamentally different approach to language arts, Amplify Core Knowledge Language Arts (CKLA) is a PreK–5 program that sequences deep content knowledge with research-based foundational skills. Amplify CKLA met expectations and received all-green ratings from EdReports. Read the review on EdReports.

Amplify ELA

Amplify ELA is the only program truly designed to support middle school students at this critical developmental moment. We ensure that skills are taught, standards are covered, and the test is prepped—all while bringing texts to life and differentiating instruction. Read the review on EdReports.

A girl, an Indiana teacher's inspiration, is reading "Summer of the Mariposas" with an EdReports sticker beside her, labeled "Read the Report, Review Year 2020," capturing a moment that echoes through Indiana elementary schools.
A teacher with glasses assessing a young student's reading fluency using a tablet in a classroom; visual diagram explaining the relationship between data, instruction, and Amplify mCLASS reading assessment.

mCLASS Dibels 8th Edition

mCLASS® is an all-in-one system for universal screening, dyslexia screening, progress monitoring, and instruction for grades K–6 based on the Science of Reading. Powered by DIBELS® 8th Edition, mCLASS helps you measure and strengthen the foundational skills that all students need to become confident readers.

Science of Reading professional development

Build your knowledge of the Science of Reading.

Virtual | 90-minute session

This introductory session provides educators with a foundational overview of what the Science of Reading means and what it tells us about how to teach using evidence-based reading practices.

Participants will learn to:

  • Define the Science of Reading by examining evidence-based research.
  • Explain how two frameworks, the Simple View of Reading and the Reading Rope, work in tandem to guide effective literacy instruction.
  • Identify instructional principles aligned to the Science of Reading.
Two women smiling and looking at a laptop in a classroom. One woman is wearing a striped shirt and the other a black top. Classroom decor is visible in the background.
Three people stand in front of a whiteboard with colorful sticky notes, engaging in professional development for teachers as they discuss ideas and collaborate using a tablet and a laptop.

Deepen your knowledge of the Science of Reading.

On-site or virtual | 3-hour session

This session will build a base of common knowledge about the Reading Rope and support educators in identifying effective instruction grounded in the Science of Reading.

Participants will learn to:

  • Identify the strands in the Reading Rope.
  • Describe how each strand plays an important role in developing skilled readers and writers.
  • Identify key look-fors in effective Science of Reading instruction.

Science of Reading: The Learning Lab online courses

This series of three self-paced online courses, crafted by literacy expert Susan Lambert and built around International Dyslexia Association (IDA) Knowledge and Practice Standards, guides you through the essential Science of Reading skills and knowledge needed to teach students to read proficiently. It also offers advanced strategies to aid struggling readers. Each course builds on the last, equipping you with the tools and confidence to make a lasting impact on your students’ literacy journeys.

Benefit from flexible learning on an interactive platform—each course spans 20–25 hours of instruction and is accessible for 12 months. Upon completion, you’ll be provided with a downloadable certificate, validating your new expertise in the Science of Reading.

Three adults, two women and one man, engage in professional development for teachers using computers in a library setting.

Contact us

Support is always available. Our team is dedicated to helping you every step of the way. Contact your dedicated Hawai’i representative here for program access, samples, and additional information.

Laina Armbruster

Senior Account Executive, Hawai’i
Email: larmbruster@amplify.com
Phone: (602) 791-4135

A woman with long brown hair, wearing a dark blouse and a necklace, smiles at the camera against a plain light background—an inspiring Indiana teacher recognized for her use of Amplify Science in the classroom.

Ready to learn more?

Fill out this form, and we’ll be in touch with you shortly.

Science of Reading professional development for Maine educators

Hello, Maine educators,

We’re excited to be part of your Science of Reading journey!

The following professional learning sessions are designed to support all educators—regardless of the program used—in enhancing their instructional practices. These Science of Reading courses offer research-based strategies to deepen understanding that supports students’ reading development. All are approved by the Maine Department of Education.

Two women are seated at a table with laptops and papers, engaging in a discussion about program implementation in a classroom or meeting setting.
Two women smiling and looking at a laptop in a classroom. One woman is wearing a striped shirt and the other a black top. Classroom decor is visible in the background.

Build your knowledge of the Science of Reading

Virtual | 90-minute session

This introductory session provides educators with a foundational overview of what the Science of Reading means and what it tells us about how to use evidence-based reading practices in the classroom.

Participants will learn to:

  • Define the Science of Reading, examining evidence-based research.
  • Explain how two frameworks, the Simple View of Reading and the Reading Rope, work in tandem to guide effective literacy instruction.
  • Identify instructional principles aligned to the Science of Reading.

Deepen your knowledge of the Science of Reading

On-site or virtual | 3-hour session

This session will build a base of common knowledge about the Reading Rope and support educators in identifying effective instruction grounded in the Science of Reading.

Participants will learn to:

  • Identify the strands in the Reading Rope.
  • Describe how each strand plays an important role in developing skilled readers and writers.
  • Identify key look-fors in effective Science of Reading instruction.
Three people stand in front of a whiteboard with colorful sticky notes, engaging in professional development for teachers as they discuss ideas and collaborate using a tablet and a laptop.
Three adults, two women and one man, engage in professional development for teachers using computers in a library setting.

Science of Reading: The Learning Lab online courses

This series of three self-paced online courses, crafted by literacy expert Susan Lambert and built around the International Dyslexia Association (IDA)’s Knowledge and Practice Standards, guides you through the essential Science of Reading knowledge and skills needed to teach students to read proficiently; the series also offers advanced strategies for aiding struggling readers. Each course builds on the last, equipping you with the tools and confidence to make a lasting impact on your students’ literacy journeys.

Benefit from flexible learning on an interactive platform. Each course spans 20 to 25 hours of instruction and is accessible for 12 months. Upon completion, you’ll receive a downloadable certificate, validating your expertise in the Science of Reading.

Contact us

Support is always available. Our team is dedicated to helping you every step of the way. Contact your dedicated representative here for program access, samples, and additional information.

Ali Weis

Lead Account Executive,
Northern Northeast
Email: aweis@amplify.com
Phone: (480) 510-6703

A woman with straight blonde hair wearing a green sweater stands outdoors, smiling at the camera with a blurred natural background.

Ready to learn more?

Fill out this form, and we’ll be in touch with you shortly.

Early literacy assessment & intervention, grounded in the Science of Teaching Reading

mCLASS Texas is an all-in one system of universal screening, dyslexia screening, progress monitoring, and instruction for grades K–6, all built on the Science of Teaching Reading. Powered by DIBELS® 8th Edition, mCLASS Texas helps you measure and strengthen the foundational skills that all students need to become confident readers.

What is mCLASS Texas?

mCLASS Texas, the only digital provider of DIBELS 8th edition assessments, provides universal screening, dyslexia screening and progress monitoring to assess your students’ reading trajectory and determine what skills they still need to develop.

You’ll observe students as they form sounds or read words and text. Then, mCLASS Texas instantly scores and analyzes student response patterns to provide you with diagnostic data and instructional focus for each student and group.

With mCLASS Texas, you’ll have everything you need to support every type of learner in your classroom, including advanced learners, multilingual/English learners, and students with signs of dyslexia.

What educators say

“If you’re trying to shift the balance and move into the Science of Reading, mCLASS is going to give you a great way to group kids by skill.”

Angela

Lufkin Independent School District, Director of Early Childhood Education

What educators say

“Getting the human brain to read is very complex, and mCLASS has helped me problem-solve with my PLC and the strategies I’m using in the classroom.”

Anne

Teacher, Wake County School District, Oakview Elementary School

What educators say

“One of the things that I think the data dashboard has really helped us to do is to work smarter not harder.”

Natalie

Supervisor of Elementary Ed, K-12 Instructional Technology and K-12 ELL, Metuchen School District

Image of DIBELS 8th edition logo

Research-based DIBELS 8th Edition assessments

Developed in partnership with the University of Oregon, mCLASS DIBELS 8th Edition is founded on the strongest-ever research base for predicting reading proficiency, including identifying those at risk for dyslexia.

For more than 30 years, the University of Oregon has led the research behind DIBELS (Dynamic Indicators of Basic Early Literacy Skills). mCLASS is the only licensed digital provider of the evidence-based DIBELS 8th Edition assessment. See more of our research.

Our approach

mCLASS Texas provides rich data to help you match your students’ precise needs with instruction based on the Science of Teaching Reading. The program enables you to monitor effectiveness and make timely decisions, providing students or classrooms with extra support.

Grounded in the Science of Teaching Reading

From phonics to fluency and comprehension, mCLASS Texas assesses the skills that are most critical for students to become successful readers. Once students are assessed, you’ll have the data you need to drive instructional decisions at the classroom, school, and district level.

  • Data you can trust, with teacher-administered assessments
  • Skill-level data aligned with the Science of Teaching Reading
  • Data-driven instructional recommendations to support intervention, remediation, and enrichment
An adult and a young child sit at a table, looking at a tablet together. A label in the corner reads, "Built on the Science of Reading.
Profile card for a student named Jenny Perez, Grade 1 BOY, showing a score of 36 correct letter sounds per minute on a colorful performance scale.

Precise, trustworthy data through direct observation

Our approach to assessment is focused on providing you with immediate insights you can trust. Through direct observation of students and detailed reports, including assessment transcripts and diagnostic error patterns, you’ll have total transparency into each student’s performance.

Instant analysis and next steps

With mCLASS Texas, you can interpret and act on data in real time with instant instructional guidance based on benchmark and progress-monitoring results. In one click, teachers can access differentiated skill-based groups and targeted resources to develop students’ foundational literacy skills.

A teacher and a student sitting at a desk in a classroom. The teacher is holding cards and discussing with the student. Two labels read

A complete picture of English and Spanish biliteracy

Amplify’s Spanish language assessment, mCLASS Lectura Texas, works in tandem with mCLASS Texas DIBELS 8th Edition’s English assessments to highlight areas of growth as students develop into bilingual readers. mCLASS Lectura Texas provides complete parity with English mCLASS Texas assessments in grade coverage (K–6), skill coverage, instructional tools, and reporting.

Need evidence-based Tier 2 and 3 instruction?

Explore mCLASS Intervention.

Learn more

What’s included

The mCLASS Texas program includes quick assessments of critical reading skills, real-time reporting, and data-driven instructional recommendations.

A digital interface displays reminders for a reading assessment, including timing instructions and prompts for student responses. A purple background highlights the three reminder cards and navigation buttons.

Efficient one-minute measures

DIBELS 8th Edition’s predictive one-minute assessments of phonemic awareness, phonics, fluency, and comprehension are proven to identify risk as early as possible.

  • Phonological awareness
  • Alphabetic principle/phonics
  • Reading fluency
  • Reading accuracy
  • Reading comprehension

Early detection of dyslexia symptoms

With mCLASS Texas, you can efficiently screen students and assess the full range of skills linked to dyslexia risk factors at the same time. mCLASS DIBELS 8th Edition and mCLASS Lectura Texas are both validated as dyslexia screeners for English and Spanish, with additional Vocabulary, Spelling, RAN, and Language Comprehension measures available at no additional cost.

Learn more about mCLASS’s dyslexia screening.

A teacher sits at a table with a young student using a tablet, while two student portraits are shown in circular frames on either side of the main image.

Progress monitoring and goal setting

To help you target the right skills and areas of instruction, mCLASS Texas recommends progress-monitoring measures and automatically sets meaningful, attainable goals for each student. Our Zones of Growth goal-setting framework examines your student’s DIBELS scores to predict the rate of growth they need to reach end-of-year goals.

  • Automatic progress monitoring recommendations
  • Customizable goals
  • Semester and full-year growth reports

Differentiated instruction for all students

Our library of more than 500 evidence-based activities makes it easy to plan lessons that reinforce your core instruction. The embedded professional development supports consider the varied language backgrounds of all students and provide cross-linguistic transfer and language variety guidance to inform phonological awareness instruction.

One-of-a-kind dual language reporting

When you use mCLASS DIBELS 8th Edition with mCLASS Lectura Texas, you can identify and develop students’ English and Spanish literacy skills regardless of your own Spanish-language proficiency. The dual language report shows you a side-by-side view of students’ assessment results and provides you with instructional guidance based on the data.

Educator and caregiver reports

Easy-to-use reports, ranging from classroom to school and district level, help you evaluate each student’s reading skills over time and pinpoint exactly when a change in instruction is needed.

To reinforce learning at home, the Home Connect feature provides letters to caregivers about their child’s reading development in English and Spanish, and includes activities for reinforcement at home or on the go.

Learn more about mCLASS reporting.

Three labeled graphics with Texas icons read: "Amplify ELAR TEXAS," "Boost Reading TEXAS," and "mCLASS TEXAS," each in black and orange text.

Instructional alignment across all tiers

Amplify’s early literacy system ensures that you have all the core, intervention, and personalized instruction you need to support each stage of a student’s literacy journey. mCLASS Texas data drives placement into mCLASS Intervention and Boost Reading Texas personalized learning. It also recommends core instruction resources within the Amplify ELAR Texas core curriculum based on the skills in which students need additional practice.

Exciting news! mCLASS Texas and mCLASS Lectura Texas K–2 are FREE for the 2025–26 school year!

Explore more programs based on the Science of Reading.

Learn more about Amplify’s Texas literacy suite at texas.amplify.com.

Welcome, Amplify Math families and community to Amplify Desmos Math!

Amplify welcomes you and your learner to Amplify Math for the new school year. We are very excited to provide you with exceptional learning opportunities through math. Below are resources and helpful guides for enabling your student to have the most productive experience with our platform throughout the year.

math illustration of Amplify Math programs

What is Amplify Math?

Amplify Math is a core math curriculum built for grades 6, 7, 8, and Algebra 1. It features a full suite of products for teachers and students that includes lesson plans, instructional materials, practice, assessments, and support to meet all learners’ needs. Amplify Math is built upon the highly rated curriculum, Illustrative Mathematics’® IM K–12 Math™, which was heavily researched and field-tested and has earned an all-green score on EdReports, the nationally recognized non-profit curriculum evaluation organization.

Read the review on EdReports.

Amplify Math helps students learn math in a way that is engaging and relevant to the world around them using student-centered instruction, which has been proven to increase students’ motivation, engagement, and enjoyment of math. Students using the program are active participants in their learning, solving problems while working with their classmates.

The digital experience allows your student’s teacher to monitor your student’s work in real time and make sure they get the exact support that they need at every part of the lesson. Amplify Math’s open-ended tasks provide engaging challenges for students of all levels, preparing them to solve all types of problems. The parts of Amplify Math work together to help students master the key skills of a 21st century learner!

Features

Some of the unique features of Amplify Math include:

  • Narrative connections: Exciting stories that help students to make connections between the math they learn in class and their everyday lives, making math class more engaging for your student.
  • Amps: Interactive digital activities (included in every lesson) let your student can explore the math and collaborate with their peers.
  • Power-ups: Additional activities that teachers can use to identify when your student needs support and help your student improve on the most important skills.
  • Featured mathematicians: Stories of important mathematicians that help your students see themselves mirrored in the history of math.

Why student-centered instruction?

A diverse group of students, one wearing a unicorn headband, looks at a teacher pointing to an amplify math bar graph on a board.

Student-centered instruction may look different from the way students have learned math for decades, and maybe even the way you learned math. Student-centered instruction instead emphasizes student-led discovery. When students explore and discover strategies, they are more engaged and make longer lasting connections.

Research shows that students and teachers alike prefer this method, and teachers report that student-centered instruction has helped their students learn more math. This way of learning helps students to remember what they learn in class and apply their knowledge to new situations. Students who experience student-centered instruction have been shown to perform better on standardized tests and have more growth in their grades than their peers who learn through other methods. Your student will also learn to communicate in writing and verbally, understand and challenge the opinions of others, and build confidence in solving new problems. With student-centered learning, students will begin to develop key skills for success in college and the workplace, like using technology, completing projects independently and with others, and persevering through difficult problems.

What does an Amplify Math lesson look like?

Four illustrated icons represent phases of a lesson: Warm-up, Activities, Summary and Reflection, and Exit Ticket and Practice, each with related instructional graphics.

Students using Amplify Math will be active participants in their learning and get practice solving interesting and new types of problems. Here’s what a typical Amplify Math lesson includes:

  • Warm-up: A short, attention-getting problem to get students interested in the lesson
  • Activities: 2-3 mini-activities that challenge students’ problem-solving skills
  • Summary: Discussion to review and bring together the important concepts from the lesson
  • Exit Ticket: Questions for students to show what they know from the lesson
  • Practice: Additional problems your student’s teacher may assign for classwork or homework

Check out lessons from Grade 6Grade 7Grade 8, and Algebra 1, and watch this video of a typical Amplify Math lesson:

Materials overview

Your student will have access to all learning, practice, and assessment materials through the Amplify platform. In addition, depending on the district, your student may also have a print Student Edition to use instead of the digital lesson if they do not have a device or internet. The Student Edition is a workbook that students can use to complete their work on problems and practice within the lessons.

Students can access the digital curriculum in school and at home with login information provided by their teachers. You can contact your student’s teacher to learn more about how they log in. Here are some key resources of the digital platform for students:

  • Digital activities to allow students to explore and make sense of math, leading to increased engagement and understanding
  • Digital supports such as a calculator and manipulatives to support all students where they are
  • Power-ups to give students just-in-time practice with key skills
  • Ability to access instructional materials in English or Spanish

Unit Caregiver Letters

Click a unit below to download the caregiver letter for that unit, in both English and Spanish.

How to support your student

Amplify Desmos Math Support
  • Review the unit caregiver letters to understand the key concepts in each unit. You can walk through the worked examples with your student, asking them to explain the strategy shown and asking if they know any other strategies to solve the problems. 
  • Your student’s teacher may assign practice problems at the end of each lesson for classwork or homework. Ask your student to walk you through how they solved each problem or talk about any parts that were challenging for them. 
  • Emphasize that getting stuck is part of the process and a necessary part of learning. Many students (and adults!) fear making mistakes, however, research shows that making mistakes helps your brain grow more. When your student gets stuck on a problem, encourage them to try different strategies, even if they are not sure if they are right. 
  • Relate math to daily activities at home, whether it be baking, grocery shopping, or planning for a road trip. Your student can help you figure out the price of an item after a coupon, cut a recipe in half, or figure out how much gas you’ll need to make it to your destination. Encourage your student to point out ways that your family uses math in your daily tasks.

Want to learn more?

Interested in learning more about Amplify Math? These resources will help you dig deeper:

Welcome Reviewers, to Amplify Desmos Math!

Amplify Desmos Math thoughtfully combines conceptual understanding, procedural fluency, and application. Each lesson is designed to tell a story by posing problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals.

Scroll to learn more about the program and explore sample materials.

About the program

We believe in math that motivates. Our structured approach to problem-based learning builds on students’ curiosity to develop lasting grade-level understandings for all students. 

The program thoughtfully combines conceptual understanding, fluency, and application, motivating students with interesting problems they are eager to solve. Teachers can spend more time where it’s most impactful: creating a collaborative classroom of learners.

A powerful suite of math resources

Amplify Desmos Math combines the best of problem-based lessons, intervention, personalized practice, and assessments into a coherent and engaging experience for both students and teachers.

A digital interface displays a math screener report on the left and a math problem involving division, alongside a visual representation of students lined up on the right, integrating rich math resources from Amplify Desmos Math.

Screening and progress monitoring

mCLASS® Assessments, along with daily formative checks, measure not only what students know, but also how they think. The asset-based assessment system provides teachers with targeted, actionable insights, linked to core instruction and intervention resources.

Two side-by-side math activities for children: on the left, a caterpillar-themed block challenge, and on the right, a worksheet for finding pairs that sum to 10. These exercises are fantastic ways to amplify children's engagement with math concepts.

Core instruction

Amplify Desmos Math lessons provide a structured approach to problem-based learning, helping teachers create a collaborative math community with students at its center. Each lesson systematically builds on students’ curiosity to develop lasting grade-level understandings for all students.

Two pages from a New York math textbook on determining coordinates after a rotation. Includes sections on modeled review, guided practice, and teacher's notes, with diagrams and examples that amplify the learning experience.

Differentiation and intervention

Integrated resources like Mini-Lessons, Fluency Practice, and Math Adventures provide targeted intervention on a specific concept or skill connected to daily instruction. Extensions are also available to stretch students’ understanding.
Boost™ Personalized Learning activities help students access grade-level math through engaging, independent digital practice. Responsive Feedback™ adjusts to students’ work, providing item-level adaptivity to further support their learning.

Two pages from a New York math textbook on determining coordinates after a rotation. Includes sections on modeled review, guided practice, and teacher's notes, with diagrams and examples that amplify the learning experience.

An approach that supports teachers

Clear, step-by-step instructional moves help teachers plan and teach student-centered lessons that use student thinking to differentiate instruction and guide to grade-level understanding. They include:

  • Guidance on what to listen for and how to respond.
  • Clear learning objectives to keep learning on track for each activity and lesson.
  • Daily reinforcement activities to provide direct instruction when needed.

A structured approach to problem-based learning

Problem-based learning asks students to make sense of and think strategically about mathematically interesting problems. This approach allows students’ ideas to take
center stage, so they are active and engaged in their learning process. Teachers are able to hear and respond to student thinking in real time, guiding and differentiating instruction right in the moment.

Moving from “I do, We do, You do” to “You do, We do, I do”
Lessons begin by activating student’s prior knowledge and curiosity, inviting them to explore the math, collaborate, and refine their thinking. By focusing on developing student thinking first, teachers can better connect ideas, guide learning, and synthesize learning objectives.

Lessons that are rigorous and delightful

Every lesson in Amplify Desmos Math is designed to put students at the center of their learning. Utilizing research-based best practices, students engage in meaningful work based on rich problems and real-world experiences.

Two young girls build with colorful blocks at a table while an adult woman observes and assists them in a classroom setting.

Warm-Up

Lessons begin by inviting every student to contribute to the mathematical discussion. Instructional routines are often used to build fluency, set the context, activate prior knowledge, or highlight a strategy that may be helpful in the lesson. 

Rich learning activities

Math knowledge is built through experiences and meaningful interactions. Students notice, wonder, explore, calculate, predict, measure, explain their thinking, use math to settle disputes, create challenges for their classmates, and more. Teachers serve as a guide, using a Launch, Monitor, Connect framework:

  • Launch: Teachers offer a short introduction to the problem or challenge
  • Monitor: As students work individually, in pairs, or in groups, teachers ask questions and provide support to move student thinking closer to the intended math goal.
  • Connect: Teachers connect student ideas to the Key Takeaway of the activity to help students synthesize and solidify the big ideas.

Synthesis

Teachers ensure that students end the lesson with accurate and enduring understandings of the math goal through synthesis of student ideas, explicit instruction, and reflection.

A short Show What You Know assessment allows students to show what they know about the learning goals of the lesson and reveal what they are still learning.

Differentiation and practice

Lasting understanding requires reinforcement. Every lesson offers Lesson Practice instructional recommendations to Support, Strengthen, and Stretch learning.

Two side-by-side math activities for children: on the left, a caterpillar-themed block challenge, and on the right, a worksheet for finding pairs that sum to 10. These exercises are fantastic ways to amplify children's engagement with math concepts.

Print for every lesson with engaging digital experiences

Whether in print or digital form, engaging interactions enable students and teachers to openly exchange ideas. Each lesson includes student print materials, interactive teacher Presentation Screens, and digital resources for practice and differentiation. Some lessons also use manipulatives or provide options for students to use devices individually or in pairs. Device recommendations for student use are age-appropriate, with more frequent usage in middle and high school.

Demo access

Please login to the digital platform to experience our full program as part of your review. In order to access the digital platform, you’ll need to log into using your unique login credentials below.

  • Click the orange button below to access the platform.
  • Click “Log in with Amplify.”
  • Enter the username and password:
    • Username:
    • Password:
  • View the video for helpful platform navigation tips.

Assessments

By starting with what students already know, Amplify Desmos Math helps build a strong foundation for success to guide and support future learning. Teachers are empowered to transform every classroom into an engaged math community that invites, values, and develops student thinking. With explicit guidance on what to look for and how to respond, teachers can effectively support students as they develop their understanding.

Open math workbook showing an End-of-Unit Assessment with multiple-choice and written response questions on fractions and equivalent values.

Program assessments

A variety of performance data in Amplify Desmos Math provides evidence of student learning while helping students bolster their skills and understanding.

Unit-Level Assessments

Our embedded unit assessments offer key insights into students’ conceptual understanding of math. These assessments provide regular, actionable information about how students are thinking about and processing math, with both auto-scoring and in-depth rubrics that help teachers anticipate and respond to students’ learning needs.

Lesson-Level Assessments

Amplify Desmos Math lessons are centered around sense-making and in-the-moment feedback. Daily moments of assessment provide valuable evidence of learning for both the teacher and student.

Data and reporting

Amplify Desmos Math provides teachers and administrators with unified reporting and insights so that educators have visibility into what students know about grade-level math—and can plan instruction accordingly for the whole class, small groups, and individual students.

A table displays students' performance levels across various items, with a detailed score distribution for a specific assessment shown in a separate overlay. Geometric design elements accented the background, providing an engaging visual touch ideal for any math classroom using Amplify Desmos Math.

Assessment reports

Reporting functionality integrates unit assessments, lesson assessments, personalized learning, Benchmark assessments, and Progress Monitoring for a comprehensive look at student learning.

Our reports show proficiency and growth by domain, cluster, standard, and priority concept using performance data from unit assessments. Then our reports highlight areas of potential student need to allow teachers to modify their instruction and target differentiated support.

At-a-glance views of unit-level assessment results inform your instructional planning, and you can also drill down to item-level analysis.

Standards reports

Our standards report allows you to monitor proficiency at the class and individual student levels. Proficiency and growth are shown by domain, cluster, standard, and priority concepts. Areas of potential student need are highlighted to allow teachers to modify their instruction and target differentiated support.

Administrator reports

Amplify Desmos Math provides a complete picture of student, class, and district performance, allowing administrators to implement instructional and intervention plans.

  • Track student, class, and district performance with usage, completion, and assessment data.
  • Accurately group students and classes with the Benchmark and Progress Monitoring data of mCLASS Assessments and allow teachers to reliably implement and track the progress of Tier 2 and Tier 3 intervention.
  • Provide one data-driven solution that educators can rely on for high-quality math instruction.

Differentiation and intervention

Amplify Desmos Math views differentiation as an ongoing process where teachers are both reactive and proactive to student needs, ensuring that all students have clear pathways to proficiency. Through rich data and teacher support, Amplify Desmos Math uses flexible categories of intervention and enrichment that adjust daily according to student thinking.

In-the-moment differentiation supports are available for every lesson, both digitally and in the print Teacher Edition.

A teacher sits at a table with two students, using small objects and a workbook to provide individualized instruction during a Boost Math lesson in a classroom with large windows.
A table showing differentiation teacher moves with examples of representing groups in different ways, support prompts, and a stretch question about patterns with more teams.

In-lesson differentiation

Within every lesson activity, teachers can use the suggestions in the Differentiation Teacher Moves table to provide in-the-moment instructional support while students are engaged in the work of the lesson. This table can help teachers anticipate the ways students may approach the activity, and provides prompts that they can use during the lesson to Support, Strengthen, and Stretch individual students in their thinking. Teachers are provided with clear student actions and understanding to look for, each matched with immediately usable suggestions for how to respond to the student thinking illustrated in each row of the table. In addition to using these suggestions in the moment as teachers monitor student work, teachers can review the Differentiation table in advance to help them anticipate how students are likely to approach the activity.

Differentiation: Beyond the Lesson

Teachers are provided with recommendations for resources to use with each group of students needing support, strengthening, and stretching after each lesson. Support, Strengthen, and Stretch resources include:

  • Mini-Lessons: 15-minute, small-group direct instruction lessons targeted to a specific concept or skill
  • Item Banks: Space for teachers to create practice and assessments by using filters and searching for standards, summative-style items, and more
  • Fluency Practice: Adaptive, personalized practice built out for basic operations and more
  • Centers (K–5): Lesson-embedded routines and practice for students that are vertically aligned across grade levels
  • Extensions: Lesson-embedded Teacher Moves including possible stretch questions and activities for students
  • Lesson Practice: Additional practice problems support every lesson
  • Math Adventures: Strategy-based math games where students engage with math concepts and practice skills in a fun digital environment
Two pages from a math workbook on determining coordinates after a rotation, with diagrams, problem sets, and instructional text, displayed on a yellow and gray background.
A classroom teaching guide displays strategies for discussing pre-image and image in math, goals for a parallelogram lesson, and tips for supporting multilingual learners.

Multilingual/English Learner supports

Supports for multilingual/English learners (ML/ELs) are called out at intentiSupports for multilingual/English learners (ML/ELs) are called out at intentional points within each lesson. These suggested supports are specific, targeted actions that are beneficial for ML/ELs. They often describe a modification to increase access to the task or provide support with contextual or mathematical language development that can often be helpful to all learners. ML/EL supports may also be attached to Math Language Routines.onal points within each lesson. These suggested supports are specific, targeted actions that are beneficial for ML/ELs. They often describe a modification to increase access to the task or provide support with contextual or mathematical language development that can often be helpful to all learners. ML/EL supports may also be attached to Math Language Routines.

Math Language Development

Every lesson in Amplify Desmos Math includes opportunities for all students to develop mathematical language as they experience the content. Amplify Desmos Math purposefully progresses language development from lesson to lesson and across units by supporting students in making their arguments and explanations stronger, clearer, and more precise. This systematic approach to the development of math language can be broken down into the following four categories of support:

  • Vocabulary: Units and lessons start by surfacing students’ language for new concepts, then building connections between their language and the new vocabulary for that unit.
  • Language goals: Language goals attend to the mathematics students are learning, and are written through the lens of one or more of four language modalities: reading, writing, speaking, and listening.
  • Math Language Routines: Math Language Routines are used within lessons to highlight student-developed language and ideas, cultivate conversation, support mathematical sense-making, and promote meta-cognition.
  • Multilingual/English learner supports: Supports for multilingual/English learners (ML/ELs) are called out at intentional points within each lesson.
Two girls sit at a table with open books, one making hand gestures while smiling, the other looking at her and giving a thumbs up. Behind them are shelves filled with books, capturing the lively atmosphere of a math classroom.
Digital educational material showing an activity named "Hamster Homes" involving tube length and platform heights for a hamster cage. Includes a diagram with platforms measuring 9 inches.

K-5 sample materials

Click the links in the drop-down sections below to explore sample materials from each grade. For a full program review, please login to the digital platform or request physical samples.

For helpful navigation tips and more program information, download the Amplify Desmos Math Program Guide.

You can also watch a product expert walk through a lesson and the available program components.

Cover of Amplify Desmos Math Grade K Teacher Edition featuring three children playing with math-related objects and a group of rabbits sitting nearby, aligning with the engaging curriculum seen in New York math classrooms.

Teacher Edition

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 2: Counting and Comparing Images.

Cover of "Amplify Desmos Math: Student Edition Kindergarten," featuring an illustration of three children playing with math-related toys. A group of small white animals, possibly hamsters, play nearby. The scene brilliantly captures the joy of New York math exploration for young learners.

Student Edition

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 2: Counting and Comparing Images.

Cover of "Amplify Desmos Math Grade K Centers Resources" featuring a large, stylized red and pink "C" on a light pink background with simple geometric designs. This distinctive cover complements New York math curriculums with its engaging visual elements.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Centers Resources, Additional Practice, and Math Language Development Resources.

A digital activity screen, crafted in the style of Amplify Desmos Math, shows two paths with different quantities of mushrooms. The user is prompted to choose the path with more mushrooms. A bear is on the left side of the screen.

In this lesson, students apply their understanding of how to compare groups of images as they determine which group has more or fewer and then compare their strategies by guiding a bear through a path that has more mushrooms than the other.

Children interact with math activities on a large tablet while observing fish illustrations. The text reads "Amplify Desmos Math Grade 1 Teacher Edition, aligned with New York Math standards.

Skills Unit 2 Teacher Guide

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 1: Adding and Subtracting Within 10.

Illustration of three children engaged in math activities from the "Amplify Desmos Math: Student Edition 1" textbook. One child holds a number card, while the others manipulate counters and images, experiencing an exciting approach inspired by New York math techniques.

Student Edition

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 1: Adding and Subtracting Within 10.

Cover of "Amplify Desmos Math Centers Resources" for Grade 1, featuring a yellow and white 3D letter "C" on a light background.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Centers Resources, Additional Practice, and Math Language Development Resources.

An educational game screen, inspired by New York math standards, shows a subtraction problem, "4 - 1," with a frog moving along numbered lily pads to reveal the answer "3.

In this lesson, students find differences when subtracting 1 and 2 from the same number by helping a frog reach a lily pad where it can eat a bug.

Cover of the "Amplify Desmos Math" Grade 2 Teacher Edition, showcasing children measuring with rulers and a poster displaying a mathematical equation, set against whimsical scenery with a colorful dragon. Perfect for New York math classrooms.

Teacher Edition

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 1: Adding and Subtracting.

Cover of "Amplify Desmos Math Student Edition 2" showing three children performing a New York math activity with blocks and measurements.

Student Edition

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 1: Adding and Subtracting.

Cover of an educational book titled "Amplify Desmos Math Grade 2 Centers Resources" featuring a green "C" on a light green background, perfect for enhancing New York math education.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Centers Resources, Additional Practice, and Math Language Development Resources.

An educational activity where users must select the block with the correct number to make a total of 10 using the given block numbers. The UI, inspired by New York math standards, features a caterpillar and two tree stumps to amplify engagement with Desmos Math tools.

Students continue to develop fluency by finding the number that makes 10 by helping a millipede reach its favorite food – a clump of leaves!

Cover of a "Grade 3 Amplify Desmos Math Teacher Edition" book, featuring a cutaway building with diverse students and a teacher working on New York math problems and organizing materials.

Teacher Edition

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 3: Data on Scaled Graphs.

Cover of "Amplify Desmos Math Student Edition 3" showcasing illustrated children engaged in various mathematical activities inside a glass house structure, reflecting the dynamic energy of New York math.

Student Edition

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 3: Data on Scaled Graphs.

Cover of the Amplify Desmos Math Grade 3 Centers Resources book, featuring a 3D letter "C" in blue and white on a minimalistic background, perfect for aligning with New York math standards.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Centers Resources, Additional Practice, and Math Language Development Resources.

A page titled "Activity 2" features a table showing counts of rabbits, raccoons, and foxes, an image of animal stickers, and a bar graph representing the number of each animal, designed to amplify your New York math lesson with engaging visual data.

Students compare data represented on bar graphs with different scales by using animal stickers to create scaled bar graphs.

Cover of "Amplify Desmos Math: Teacher Edition Grade 4" showing children learning New York Math outdoors, using large mathematical tools and numbers, with one child in a wheelchair.

Teacher Edition

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 2: Using Factors and Multiples.

Cover of "Amplify Desmos Math: Teacher Edition Grade 4" showing children learning New York Math outdoors, using large mathematical tools and numbers, with one child in a wheelchair.

Student Edition

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 2: Using Factors and Multiples.

Cover of the "Amplify Desmos Math" Grade 4 Centers Resources book, featuring a large, stylized blue letter "C" on a light blue background. This essential resource for New York math educators ensures engaging and effective instruction.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Centers Resources, Additional Practice, and Math Language Development Resources.

Interactive educational activity asking users to determine platform heights using a 3-inch tube. The interface, inspired by Desmos math tools, features a dragging function and feedback system with a checkbox and "Try another" option, amplifying the learning experience.

Students choose tube lengths to connect to platform heights for hamster homes, identifying possible heights using what they know about multiples.

Illustration of three students engaging with various math activities outdoors and around large blocks. Text at the top reads "Amplify Desmos Math, Grade 5, Teacher Edition" - a perfect resource for New York math educators.

Teacher Edition

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 3: Volume of Solid Figures.

Cover of "Amplify Desmos Math: Student Edition, Grade 5" featuring students engaged in various mathematical activities outside, such as block building, measuring, and gardening—a perfect resource aligning with New York math standards.

Student Edition

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 3: Volume of Solid Figures.

Cover image of "Amplify Desmos Math Grade 5 Centers Resources" featuring a large purple letter C on a light purple background, showcasing the innovative approach of Amplify Desmos Math that's making waves in New York math education.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Centers Resources, Additional Practice, and Math Language Development Resources.

An interactive screen showing an activity about decomposing a figure into prisms, with a touch of Desmos Math integration. The user is asked to drag points to demonstrate the decomposition. Two prism illustrations are displayed, offering a glimpse of New York Math's approach.

Students decompose a figure into rectangular prisms and determine the volume of the figure by adding the volumes of the individual prisms.

6-A1 sample materials

Click the links in the drop-down sections below to explore sample materials from each grade. For a full program review, please login to the digital platform or request physical samples. 

For helpful navigation tips and more program information, download the Amplify Desmos Math Program Guide.

You can also watch a product expert walk through a lesson and the available program components.

A laptop displays a math warm-up activity with shapes and a scale, in front of two Amplify Desmos Math teacher edition books for grades 1 and 7.
Cover of the Grade 6 Amplify Desmos Math Teacher Edition, showcasing students engaging in various mathematical activities around a balance scale with variables, inspired by New York math educational standards.

Teacher Edition

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 6, Sub-Unit 1: Solving Equations.

Cover of “Amplify Desmos Math, Student Edition, Grade 6” featuring an illustration of children engaging in various New York math-related activities outdoors.

Student Edition

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 6, Sub-Unit 1: Solving Equations.

Cover image of "Amplify Desmos Math" for Grade 6, featuring a 3D pink letter "I" and the text "Intervention and Extension Resources." This New York math edition supports students with comprehensive resources.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Additional Practice, and Math Language Development Resources.

A digital math activity shows foxes on a seesaw balanced with 18-pound weights. A multiple-choice question and text box ask for the weight of a fox in pounds.

Students use equations and tape diagrams to represent seesaw situations and to determine unknown animal weights, helping them make connections between diagrams that represent equations of the form `x+p=q` or `px=q`.

Cover image of "Amplify Desmos Math Teacher Edition Grade 7" featuring an illustration of students engaging in math-related activities with geometric shapes and construction elements against a New York cityscape background.

Teacher Edition

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 6, Sub-Unit 3: Inequalities.

Cover of "Amplify Desmos Math, Student Edition, Grade 7" showing students engaged in math activities against a cityscape reminiscent of New York, with purple geometric structures and a crane in the background.

Student Edition

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 6, Sub-Unit 3: Inequalities.

Cover of "Amplify Desmos Math: Grade 7 – Intervention and Extension Resources" featuring a stylized 3D "I" on a light purple background, ideal for both New York math and national curricula.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Additional Practice, and Math Language Development Resources.

A digital math activity screen shows a character above a number line and a box with the inequality "x > -10" entered. A cursor points to the "Edit my response" button.

Students solve inequalities with positive and negative coefficients to solve a variety of challenges featuring a fictional sheep who eats grass according to an inequality.

Illustration of children engaging in learning activities outdoors near a large slide. The title "Amplify Desmos Math Grade 8 Teacher Edition" is shown at the top, highlighting its relevance to New York math curriculum standards.

Teacher Edition

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 6, Sub-Unit 2: Analyzing Numerical Data.

Cover of the "Amplify Desmos Math" Student Edition for Grade 8, featuring students engaging in various mathematical activities in a stylized outdoor New York setting.

Student Edition

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 6, Sub-Unit 2: Analyzing Numerical Data.

Cover of "Amplify Desmos Math Grade 8: Intervention and Extension Resources" featuring a stylized "I" on a gray background, tailored for New York math standards.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Additional Practice, and Math Language Development Resources.

A graph plots four robot colors by height and eye distance; on the right, matching colored robots stand side by side, labeled Red, Purple, Blue, and Green.

Students connect points on a scatter plot with individuals in a population and rows of data in a table. The analysis of scatter plots continues with data about the eye distances and heights of robots.

Cover of "Amplify Desmos Math: Algebra 1, Teacher Edition" featuring diverse characters engaged in mathematical activities, with a graph and a bridge in the background, illustrating the vibrant energy of New York math.

Teacher Edition

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you preview the program, we have included samples from two complete sub-units on this site: Unit 2, Sub-Units 1–2: One-Variable Equations and Multi-Variable Equations.

Cover of "Amplify Desmos Math" Student Edition A1, featuring an illustration of diverse characters engaging in New York math activities against a backdrop of graphs and mathematical concepts.

Student Edition

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from two complete sub-units on this site: Unit 2, Sub-Units 1–2: One-Variable Equations and Multi-Variable Equations.

Cover of an Amplify Desmos Math Algebra 1 ancillary sampler, featuring students interacting with graphs and mathematical models, including a rocket and a parabola.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Additional Practice, and Math Language Development Resources.

A math activity screen shows a cartoon snail, purple blocks, and a table comparing blocks and a math equation; a cursor hovers over the "Edit my response" button.

Students represent the solutions of a situation using a table, a graph, and multiple forms of an equation to identify multiple combinations of blocks that can help Shelley the Snail cross a gap.

Hello, California teachers and leaders!

We’re excited to support California (CA) schools implementing literacy assessment tools that will both screen students for risk of reading difficulties (including dyslexia), while also gaining critical information about how to support learning.

The CA legislature enacted SB 114 in 2023 (Education Code (EC) 53008) to require the early identification of reading difficulties, including dyslexia, for students in kindergarten through grade 2. This requirement will help educators identify students at risk for reading difficulties so they can provide timely, targeted support to help every student succeed.

Log in to access your mCLASS® program and hundreds of resources at learning.amplify.com.

Need help logging in? Visit our Teacher Central site for help and instructions on navigating the platform.

Want advice and answers from the Amplify team?

A teacher sits at a table holding a tablet, speaking with a young student in a classroom. Text reads "Group 1 Fluency" and "Group 2 Phonics.
A teacher shows a book to two young students while another teacher speaks with a student; icons of an ear and a speech bubble are included.

Introduction to mCLASS DIBELS 8th Edition

mCLASS DIBELS® 8th Edition is an all-in-one system of evidence-based literacy and reading difficulties screening, progress monitoring, and instruction for grades K–6. Amplify’s Spanish language assessment, mCLASS Lectura, works in tandem with DIBELS 8th Edition’s English assessments to help teachers understand where their Spanish-speaking students are on their English and Spanish literacy paths.

Please visit our technical onboarding website for information regarding enrollment and licensing.

Access information here regarding what types of permissions teachers, principals, and district administrators need to assess students and access data in mCLASS.

California Screening for Risk of Reading Difficulties legislation

According to EC 53008(e) and (f), LEAs must screen all students in kindergarten and grades 1 and 2 at least once each school year.

EC 53008(e) also states that when determining the right time during the school year to administer state-approved screening instruments, an LEA must consider whether students “have received sufficient instruction in foundational reading skills to support a valid assessment.” This section further notes that this requirement does not “restrict LEAs from providing pupils additional screenings or diagnostic evaluations, as appropriate.”

Amplify’s recommendations for selecting mCLASS benchmark window dates is as follows:

Schedule three benchmark assessments per year:

  • Beginning of year (BOY, Benchmark 1): Months 1–3
  • Middle of year (MOY, Benchmark 2): Months 4–6
  • End of year (EOY, Benchmark 3): Months 7–9

The following are suggested dates using as an example a Sept.–June school calendar:

  • September (BOY)
  • January (MOY)
  • May (EOY)

For instructions on setting mCLASS Benchmark Windows within the platform, refer to this help article.

Students enrolled after screening occurs:

When you have a late-enrolling student who needs to be screened for reading difficulties within 45 days of enrollment due to legislative requirements, you will likely follow one of the following example approaches:

If your next scheduled benchmark window falls within the required 45-day window, you can wait and screen the student during that regular assessment period along with all other students.

If your benchmark window recently closed and you don’t have strict benchmarks enabled in your mCLASS platform, you can still assess the student using that same benchmark assessment.

  • This gives you the most comprehensive picture of where the student stands. The assessment will be administered in the same manner it was during the window. NOTE: This could create an incongruent aggregate data set that does not reflect the same instructional time period for all students being screened.

Conduct progress monitoring using the same measures that would have been required at your most recent benchmark assessment for the student’s grade level and time of year.

  • This approach helps you quickly identify the student’s current skill set and plan appropriate next steps for instruction while screening for reading difficulties as required by law. NOTE: Home Connect Letters will not be available for a student who only has progress-monitoring data.

We know that every situation is unique. If you’re unsure which option works best for your specific circumstances, reach out to Emily Lutrick.

Access the mCLASS DIBELS 8th Edition materials here.

Access both mCLASS DIBELS 8th Edition and mCLASS Lectura materials by navigating to learning.amplify.com/pdlibrary. NOTE: Login is required.

  1. Select Explore Programs, then mCLASS.
  2. Choose Assessment materials: mCLASS Lectura or mCLASS DIBELS 8.

Home Connect letters: Information and translations

EC 53008(k) states that an LEA must make student results from screening assessments available to parents or guardians “in a timely manner, but no more than 45 calendar days from the date the assessment was administered.” The results must include information about how to interpret the results, as well as the next steps.

mCLASS and mCLASS Lectura Home Connect letters will support districts in meeting this legislative requirement. Did you know you can generate In addition to English, these letters are available for California schools in the following languages: Armenian, Cantonese, Filipino, Hmong, Japanese, Korean, Mandarin, Punjabi, Russian, Ukrainian, and Vietnamese. Learn more here!

The notifications an LEA provides to parents/guardians regarding the screening must also comply with California translation requirements in EC 48985(a). If you need resources to support this requirement, please contact Emily Lutrick.

You can now access several enhancements to Home Connect letters. Based on feedback from California educators:

  • mCLASS DIBELSHome Connect letters will be available in several additional translated languages for teachers to download and share with caregivers.
  • mCLASS Lectura Home Connect letters will now be able to be downloadable via batch download!
An adult woman shows a tablet to a young girl seated beside her in a classroom with a whiteboard in the background.
A collage featuring students and teachers working together, an illustration of a duck, a green teacup, and the word "cup" on a yellow background.

Reporting

mCLASS gives you detailed insight into your students’ reading development across foundational literacy skills, empowering educators with instructional recommendations specific to each student’s unique needs.

Access the mCLASS Reporting Guide to find a wealth of valuable reporting information that mCLASS provides for everyone—from classroom teachers and literacy specialists to principals and district leaders, as well as parents and guardians at home.

Resources

To learn more about California’s K–2 screening requirements, please see the CDE FAQ for more. Check out Amplify for the most up-to-date information and to access further resources related to our programs, such as:

Square podcast cover for "Science of Reading: The Podcast" with an open book, abstract shapes, and the word "Amplify" on a yellow background.

Professional learning opportunities

Coming soon!

Meet the team

Rachel Scott

Vice President, PD Service Delivery
rscott@amplify.com

Local representatives

California account executives
amplify.com/mclass-dyslexia-screener-ca/

Emily Lutrick

Director, Assessment & Intervention Adoption Strategy
elutrick@amplify.com

Need more help?

Log in at learning.amplify.com, and select the gray chat button in the bottom-right corner to chat live with our Support team.

Our Help Center contains searchable articles and resources to answer many of your questions.

If you have other questions or need additional assistance, please contact our Support team.

Dear new teacher:

Science of Reading: A guide for new teachers

Welcome to the classroom! Those of us who’ve been teaching for a few years—and who’ve spent some time thinking through how to teach the Science of Reading—are so glad to have you with us on this journey to help all our students become strong readers, writers, and thinkers. It’s hard work, and at times it can seem never-ending—but I don’t know of any work that’s more worth doing.

You’re managing so much as you step into the classroom: getting to know all your students, finding out what they bring to their learning every day, guiding them toward success in literacy, math, and all their knowledge building. And for that reason, I’m especially excited to be part of your introduction to the Science of Reading—a body of research that’s instrumental in helping you understand how best to teach reading, how to help your students understand the complex ways their brains work, and how your students are developing every day as learners. We hope Science of Reading: A New Teacher’s Guide will be a help during your first year in the classroom.

Let us know how you’re doing! We’d love to help.

Person with short, gray hair and glasses smiling, wearing an orange jacket. Background features a gray backdrop with blue and yellow graphic book icons, highlighting k-5 teaching resources and the science of reading.
Cover of a guide titled "Science of Reading: A New Teacher’s Guide," featuring a teacher reading to two children, pencil and book icons, and helpful K-5 teaching resources. Perfect for those asking, "What is the science of reading?.

Science of Reading: A New Teacher’s Guide

We’ve put together this free ebook to support your journey—your guide to understanding the basics of the Science of Reading, so you can start helping your students even sooner.

Science of Reading: The Podcast

Looking for free professional learning from top experts and thought leaders, and some friendly voices while you’re working? With almost 7 million downloads, the Signal-Award-winning Science of Reading: The Podcast delivers the latest insights from researchers and practitioners in early reading.

A graphic for "Science of Reading: The Podcast" by Amplify features an open book, abstract shapes, and an orange "Essentials" label on a yellow background—perfect for discovering science of reading resources.
A teacher sits at a table with young students, guiding a boy as he reads—a scene enriched by k-5 teaching resources and a “Built on the Science of Reading” label, highlighting what is the science of reading in action.

More Science of Reading professional learning

Discussion guides, support for professional learning groups, and courses that go even deeper—our latest professional development resources for the Science of Reading.

Welcome, mCLASS Math families!

We’re excited to partner with you this school year to support your child’s math learning. This mCLASS® Math Caregiver Hub is designed to help you understand how mCLASS Math works and give you easy ways to support math learning at home—both before and after assessments.

Para la versión en español, haga clic aquí.

A teacher assists a student wearing headphones at a laptop in a classroom, using math resources for teachers, while other students work at their desks in the background.

What is mCLASS Math?

mCLASS Math is a digital assessment system that gives teachers a clear picture of how students are thinking about major grade-level math concepts. It helps identify what your child knows and where they might need more support, so teachers can personalize instruction and help every student grow. mCLASS Math assessments are entirely digital and allow students to show how they think through open-ended questions. Teachers then gain immediate insight into student progress and instructional needs. You can learn more about the student experience here.

Learn more about mCLASS Math.

Getting started

Why is assessment important?

With mCLASS Math assessments, teachers understand not just what students know, but also how they think. This lets teachers better support students’ growth.

Going beyond right or wrong answers, mCLASS Math captures how students solve problems by highlighting their individual strengths, experiences, understandings, and strategies (or assets, as we collectively refer to them) and using them to inform instruction. With these insights, teachers can personalize learning, celebrate student strengths, and support meaningful growth.

Learn more about asset-based assessment.

Ways to support your child

Preview sample items at home with your child.

Explore mCLASS Math sample items together to help your child feel more comfortable and familiar with the assessment experience. These examples show the types of questions your child may see and how they’ll interact with the platform.

As you review the items together, encourage your child to explain their thinking. Try prompts like:

  • “What are they asking you to solve?”
  • “How can you show your thinking?”
  • “Can you explain your answer?”

If your child feels stuck, guide them with questions such as:

  • “What do you know so far?”
  • “How could you represent this problem using objects or drawings?”

Remind your child that getting stuck is normal and a necessary part of the learning process. Many children (and adults) fear making mistakes, but research shows that making mistakes helps your brain grow. Building math confidence starts with practicing in a safe, supportive space.

Support math growth with daily Fluency Practice.

Help your child strengthen core math skills—in addition, subtraction, multiplication, and division—with just 5–10 minutes of daily fluency activities. Fluency Practice uses a proven learning method called spaced repetition to boost accuracy, speed, and confidence with math facts and operations.

Get started with Fluency Practice here.

Other ideas to support math learning

  • Use and point out your child’s use of math in the real world wherever possible.
  • Help with math homework as much as possible.
  • Use intentional, positive phrasing about math—including about your child’s own use of it.

Coming soon: Caregiver-assisted math activities

For at-home learning, mCLASS offers a number of math resources families can use together, including caregiver-assisted math activities to help reinforce and practice skills at home.

We recommend reviewing this Protecting Kids Online article by the Federal Trade Commission, addressing digital safety.

We’re here to help!

Have a question about mCLASS Math? Visit our Help Library to search for articles with answers to your program questions.

For additional support, contact your child’s teacher.

Does your child’s class also use Amplify Desmos Math for their core math instruction Explore the Amplify Desmos Math Caregiver Hub to find additional resources and support!

Amplify professional development: coaching and tutoring

Amplify provides consistent, job-embedded coaching services to deepen teacher capacity in planning data-driven instruction. Amplify’s high-impact tutoring extends teachers’ reach to all students through data-driven small group instruction.

We have a wide suite of tutoring and coaching services that will help meet your unique needs this school year. Find out more below!

Coaching Overview

Grade(s) Coaching Program Audience Modality
K–2 Start Strong Virtual Coaching Kindergarten, First Grade, and Second Grade teacher teams and school leaders using DIBELS Next OR DIBELS 8th Edition Remote
K–12 Data Coaching Teacher teams and school leaders Remote or Onsite

Download the overview as a PDF.

Coaching Sessions

Start Strong Virtual Coaching, K–2

Amplify provides virtual coaching to schools and districts using DIBELS to ensure that all K–2 students receive high-quality early literacy instruction that will put them on the pathway for future success.

Start Strong is a consistent, year-long, and job-embedded program where coaches meet virtually with school leaders and K–2 teacher teams in order to build their capacity in planning whole group and small group data-driven instruction based on DIBELS error patterns. School leaders will also receive support on how to lead data and planning meetings and optimize their school schedules.

Through an increased understanding of early literacy development and data-driven instruction, teachers and school leaders in the Start Strong program will be better positioned to increase K–2 student reading achievement as measured by DIBELS.

Audience: K–2 teacher teams and school leaders
Modality: Remote, maximum 8 participants per grade level team

To learn more about launching Start Strong in your school or district, please click here: Start Strong Overview

Data Coaching

Amplify’s data coaching program provides educators throughout a school, district and/or state with ongoing support to take action with their data, make changes to their teaching practices and realize significant gains in student achievement.

The data coaching program is offered in remote and/or onsite sessions and tailored to a school, district or state’s specific needs around intensity and frequency.

Teachers and school leaders work closely with their Amplify data coach to understand, analyze, and develop instructional plans using current student data sources in a collaborative learning environment. Through their participation in the data coaching program, teachers and leaders will be able to create a stronger data-driven culture and increase investment in realizing both short and long term goals in student achievement.

Audience: Teachers and school leaders
Modality: Remote or Onsite

To learn more about launching data coaching in your school or district, please click here: Data Coaching Overview

Tutoring Overview

Title Audience Modality
Comprehensive Virtual Reading Tutoring Program Kindergarten through Fifth Grade students Remote
Training for District Tutors Tutors hired at the district/school level Remote

Tutoring Sessions

Comprehensive Virtual Reading Tutoring Program

Amplify will support schools, districts, and states in ensuring all K–5 students have a strong foundation in early literacy skills by providing tutors who develop trusting relationships with students and meet their data-based needs.

In this program, tutors meet with students for 30 minutes, three days each week and use research-based, high-quality instructional materials to close literacy gaps and develop stronger social-emotional learning. While Amplify collaborates with school leaders to determine scheduling and identify participating students, Amplify will manage all other aspects of the program, thus reducing the burden for school leaders to launch this program independently. Amplify services will include, but not be limited to: creating homogeneous student groups, progress monitoring students on a consistent schedule, and hiring, training and managing tutors.

Through targeted, data-driven virtual reading tutoring, participating schools increase their capacity to provide high-quality instruction with caring adults in a small group setting to the students most in need.

Audience: K–5 students
Modality: Remote

To learn more about launching Comprehensive Virtual Tutoring in your school or district, please click the link below: Virtual Tutoring Overview

Training for District Tutors

Amplify will provide guidance and support to schools, districts, and states that are interested in developing systems and structures for launching a tutoring program focused on increasing early literacy skills for K–5 students.

At the start of the planning process, Amplify will support program managers in understanding the necessary systems, structures, and action steps required to implement the program (e.g., hiring and managing tutors). Amplify will help create a tailored training plan for tutors using the Amplify products of either mCLASS Intervention and/or Amplify Reading. The training plan for tutors will include initial product training and best practices for tutoring. Ongoing training will focus on topics such as, but not limited to: data analysis needed for flexible small groups, underlying theories for early literacy development, and strategies for engaging all students. Amplify will also provide ongoing individual support through observation/ feedback cycles for tutors.

Through their participation in the training for district tutors, districts and schools will be able to strategically launch high-quality tutoring programs and support tutors through initial and ongoing training.

Audience: District tutors
Modality: Remote

Contact

We are happy to discuss how to scale any of our coaching and tutoring services to meet the needs of a school or district’s budget or scheduling realities.

If you would like to discuss any of our coaching or tutoring services, please call Dr. Lindsay Sullivan, Ed.D. at (800) 823-1969 or email lsullivan@amplify.com.

San Diego Caregivers — Welcome to Amplify Desmos Math!

Welcome to the Amplify Desmos Math Caregiver Hub for San Diego USD. We’re excited to partner with San Diego USD teachers, principals, and district leaders to provide your student with exceptional opportunities to learn math. We designed this hub to help you in supporting your student along their math journey this year.

Introducing Amplify Desmos Math

Amplify Desmos Math is a new core math curriculum built for grades 6, 7, 8. Designed to help students learn math in a way, Amplify Desmos Math uses a student-centered approach to instruction, which has been proven to significantly increase math learning.

In every lesson, Amplify Desmos Math poses engaging and relevant problems to solve, giving students daily opportunities to think critically, work collaboratively, and actively participate in their own learning.

Amplify Desmos Math was built upon the highly rated Illustrative Mathematics curricula: IM K-12 Math™️, which earned an all-green score on EdReports.

About student-centered math instruction

Student-centered instruction may look different from the way students have learned math for decades, and maybe even the way you learned math. Instead of memorizing formulas and tricks, student-centered learning focuses on giving student opportunities to figure out how math works. Plus, research shows that students and teachers alike prefer this method, and teachers report that student-centered instruction has helped their students learn more math.

This way of learning helps students:

  • Understand how math concepts work.
  • Remember what they learn in class and apply their knowledge to new situations.
  • Perform better on standardized tests and have more growth in their grades than their peers who learn through other methods.
  • Learn to communicate in writing and verbally, understand and challenge the opinions of others, and build confidence in solving new problems.
  • Develop key skills for success in college and the workplace, like using technology, completing projects independently and with others, and persevering through difficult problems.

What materials do students use?

Amplify Desmos Math supports blended learning with supportive print materials and a unique digital experience. In addition to a consumable Student Edition, students are invited to use our interactive online platform to solve open-ended tasks and challenging problems.

Here are some key highlights of the digital platform:

  • Digital activities that allow students to explore and make sense of math
  • Digital calculator and virtual manipulatives that support students of all levels
  • Immediate feedback that guides students in understanding challenging concepts
  • Ability to access instructional materials in English or Spanish

With access to their own special online dashboard, teachers can monitor students’ work in real time, making sure they get the exact support that they need at every part of the lesson.

What does a lesson look like?

Students in an Amplify Desmos Math classroom can be seen (and heard!) — asking questions, debating answers, justifying their thinking, grappling with problems, and working together and independently.

In class, your student will spend their time working on challenging problems while the teacher acts as a guide, highlighting different strategies for solving problems and helping students to understand the reasoning behind the math they do in class. Your student will be pushed to think more deeply about the math in their class as the teacher and other students question them on why their ideas make sense. Research has proven that this method helps students become better problem solvers, critical thinkers, and have a stronger conceptual understanding of what they are learning.

Here’s what a typical Amplify Desmos Math lesson includes:

  • Warm-up: A short, attention-getting problem to get students interested in the lesson
  • Activities: 1-3 mini-activities that challenge students’ problem-solving skills
  • Synthesis: Discussion to review and bring together the important concepts from the lesson
  • Exit Ticket and Reflection: Questions for students to show what they know from the lesson
  • Practice: Additional problems your student’s teacher may assign for classwork or homework

How can families support math learning at home?

Find the math in everyday life

Relate math to daily activities at home, whether it be baking, grocery shopping, or planning for a road trip. Your student can help you figure out the price of an item after a coupon, cut a recipe in half, or figure out how much gas you’ll need to make it to your destination. Encourage your student to point out ways that your family uses math in your daily tasks.

Review practice problems together

Your student’s teacher may assign practice problems at the end of each lesson for classwork or homework. Ask your student to walk you through how they solved each problem, or talk about any parts that were challenging for them.

Remember getting stuck is okay

Emphasize that getting stuck is part of the process and a necessary part of learning. Many students (and adults!) fear making mistakes, however, research shows that making mistakes helps your brain grow more. When your student gets stuck on a problem, encourage them to try different strategies, even if they are not sure if they are right.

Use our Unit Summaries for Families

We’ve created a Family Resource for every unit of the program that provides a summary of key concepts plus examples for how to work through problems.

Within each of the grade-level links below, you’ll find a Family Resource document for each unit, in both English and Spanish.

Unit 1: Area and Surface Area

Unit 2: Introducing Ratios

Unit 3: Rates and Percentages

Unit 4: Dividing Fractions

Unit 5: Arithmetic in Base Ten

Unit 6: Expressions and Equations

Unit 7: Rational Numbers

Unit 8: Data Sets and Distributions

Unit 1: Scale Drawings

Unit 2: Introducing Proportional Relationships

Unit 3: Measuring Circles

Unit 4: Percentages

Unit 5: Rational Number Arithmetic

Unit 6: Expressions, Equations, and Inequalities

Unit 7: Angles, Triangles, and Prisms

Unit 8: Probability and Sampling

Unit 1: Rigid Transformations and Congruence

Unit 2: Dilations and Similarity

Unit 3: Linear Relationships

Unit 4: Linear Equations and Systems of Linear Equations

Unit 5: Functions and Volume

Unit 6: Exponents and Scientific Notation

Unit 7: Irrationals and the Pythagorean Theorem

Unit 8: Associations in Data

Note: The below links are for our Volume 2 units, which most students are working in currently. Additional units will be coming soon!

Unit 1: Coming Soon!

Unit 2: Coming Soon!

Unit 3: Fractions and Decimals

Unit 4: Expressions and Equations

Unit 5: Proportional Relationships

Unit 6: Percentages

Unit 7: Positive and Negative Numbers

Unit 8: Describe Data

Note: The below links are for our Volume 2 units, which most students are working in currently. Additional units will be coming soon!

Unit 1: Coming Soon!

Unit 2: Coming Soon!

Unit 3: Coming Soon!

Unit 4: Linear Relationships and Systems of Linear Equations

Unit 5: Functions

Unit 6: Associations in Data

Unit 7: Volume and Surface Area

Unit 8: Exponent and Scientific Notation

Unit 9: Pythagorean Theorem and Irrational Numbers 

Listen to our podcast

Our Math Teacher Lounge is a biweekly podcast created specifically for K–12 math teachers. In each episode, co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with expert guests, taking a deep dive into the math and educational topics.

From time-to-time, the topic of an episode is perfect for families. For example, the episode below features Dr. Marjorie Schaeffer. She discusses what causes math anxiety, math hacks, and how the right math technology can make an incredible impact in children and family members who struggle with math anxiety.

Listen today and don’t forget to grab your MTL study guide to track your learning and make the most of this episode!

Download Transcript

How do families access the program at home?

Your student will have access to all learning, practice, and assessment materials through the Amplify platform. Students can access the digital curriculum in school and at home by following these simple instructions.

  • Click the Amplify Desmos Math button.
  • Select Log in with Amplify.
  • Enter this username and password provided by your student’s teacher.
  • Select the desired grade level.

Families & Caregivers — Welcome to Amplify Desmos Math New York for grades K–5!

This is the initial version of the Caregiver Hub for Amplify Desmos Math New York. Para la versión en español, haga clic aquí.

Welcome to the Amplify Desmos Math New York K–5 Caregiver Hub for grades K–5. We’re so excited your student’s school has chosen our program! We designed this space to help you support your student in their math journey this year. Your hard work plays an essential role in your student’s math experience.

We hope your student enjoys using technology to explore math, working with friends to solve problems, and learning all sorts of new and interesting concepts. And we hope you love experiencing it with them!

Excited to learn together,
—The Amplify Desmos Math team

A math activity interface instructs to determine platform heights using a tube length. A student workbook titled "Amplify Desmos Math, New York, Volume 1" featuring children playing is also visible.

Introducing Amplify Desmos Math

Amplify Desmos Math is a core math curriculum built for kindergarten through grade 5. We developed the program around the idea that a structured approach to problem-based learning builds on students’ curiosity to develop lasting grade-level understandings for all students. Each lesson offers opportunities to develop students’ understanding; connect their ideas; grow their skill fluency; and empower them to ask questions, explore, and make discoveries.

Amplify Desmos Math uses a student-centered approach to instruction, which has been proven to significantly increase math learning. Our mission is for your students to learn math—and to love learning math!

In every lesson, the Amplify Desmos Math curriculum poses engaging and relevant problems to solve, giving students daily opportunities to think critically, work collaboratively, and actively participate in their own learning.

Screenshot of the Amplify Desmos Math New York, K-5 section on the Desmos Classroom website displaying a list of ADM lessons for different grade levels.

About student-centered math instruction

Student-centered instruction may look different from the way students have learned math in the past, and perhaps from the way you learned math. Instead of memorizing formulas and tricks, student-centered learning focuses on giving students opportunities to figure out how math works. Research shows that students and teachers alike prefer this method, and teachers report that student-centered instruction has helped their students learn more math.

A diverse group of students, one wearing a unicorn headband, looks at a teacher pointing to an amplify math bar graph on a board.

This way of learning helps students:

  • Understand how math concepts work.
  • Remember what they learn in class and apply their knowledge to new situations.
  • Perform better on standardized tests and have more growth in their grades than their peers who learn through other methods.
  • Learn to communicate in writing and verbally, understand and challenge the opinions of others, and build confidence in solving new problems.
  • Develop key skills for success in college and the workplace, like using technology, completing projects independently and with others, and persevering through difficult problems.

What materials do students use?

Amplify Desmos Math supports blended learning with supportive print materials and a unique digital experience. All Amplify Desmos Math K–5 lessons are available in a write-in Student Edition book. Many of the lessons are designed to include hands-on activities with manipulatives. An age-appropriate number of lessons are designed for students to use digital devices like laptops or tablets. These include enhanced digital experiences that teachers can assign to students.

Three animated women of diverse ethnicities smiling and discussing a math curriculum around a laptop at a table, with colorful abstract shapes in the background.

Here’s what you can expect for your students from Amplify Desmos Math:

  • Lessons that drive classroom discussions so students can work toward a shared understanding and sense of community.
  • Responsive feedback that interprets student responses in context and encourages perseverance and revision.
  • Easy-to-follow lesson plans tested in classrooms across the country, with clear teaching suggestions, strategies, and Math Language Routines.
  • Practice problems to support fluency and help students review previous topics.
  • Recommended differentiation suggestions for teachers so that they can meet the needs of diverse learners.
  • Formative assessments that provide information on student understanding so that they can adjust their instruction to meet the needs of all students in their class.
  • Summative assessments that help teachers understand what students know about the math content they have been learning.
  • Daily lesson-level assessments so that teachers can frequently check for understanding.
  • A caregiver resource for each unit that includes explanations of key math concepts and problems to try with your student.

When students use devices, teachers can monitor students’ work in real time, making sure they get the exact support that they need at every part of the lesson, in and outside of class. Here is a sample of what a teacher sees on their dashboard to help them monitor thinking and support student learning.

Screenshot of a digital class attendance and activity tracker with student names and checkboxes indicating their participation in various New York math tasks.

Students are also able to access their digital work at home. Here’s an article on how to navigate the student home page.

What does a lesson look like?

Students in an Amplify Desmos Math classroom can be seen (and heard!)—asking questions, debating answers, justifying their thinking, grappling with problems, and working together and independently.

Two students, one male and one female, are sitting at a desk with a laptop, discussing a project under a "math club" sign, with speech bubble icons above them.

Here’s what a typical Amplify Desmos Math lesson includes:

  • Warm-up: A short, attention-getting problem to get students interested in the lesson.
  • Activities: 1-2 mini-activities that challenge students’ problem-solving skills.
  • Synthesis: Discussion to review and bring together the important concepts from the lesson.
  • Show What You Know and Reflection: Questions for students to show what they know from the lesson. (Note: The “Show What You Know” lesson assessment is optional for the teacher to assign in kindergarten and grade 1)
  • Centers: Student-led activity stations that reinforce the math learned during lesson activities through interactive and often game-like formats. In kindergarten and grade 1, time for Centers is built into the last 15 minutes of every lesson.

Here’s what is available after the lesson to support, strengthen, and stretch students’ learning:

  • Differentiation: Mini-lessons, Centers, extensions, personalized learning, and fluency practice.
  • Practice: Additional problems your student’s teacher may assign for classwork or homework.

How can caregivers support math learning at home?

Use our Unit Support for Caregivers

We’ve created a Caregiver Resource for every unit of the program that provides a summary of key concepts, plus a problem from the lesson practice set you can work through with your student. Within each of the grade-level links below, you’ll find a Caregiver Resource document for each unit, in both English and Spanish.

Grade 1
Unit 1: Adding, Subtracting, and Working With Data
English
Spanish

Grade 3
Unit 1: Introducing Multiplication
English
Spanish

Grade 5
Unit 1: Volume
English
Spanish

Review practice problems together

Your student’s teacher may assign practice problems at the end of each lesson for classwork or homework. If your student has already completed the practice problems for the lesson, ask your student to walk you through how they solved each problem, or talk about any parts that were challenging for them. Ask your students follow-up questions to encourage the use of math language as they explain their thinking, such as: “How do you know?,” “How can you show your thinking?,” or “How would you describe that?” If students are stuck, ask support questions such as, “What information do you know here?” or “How could you represent this problem?”

Getting stuck is okay!

Emphasize that getting stuck is part of the process and a necessary part of learning. Many students (and adults!) fear making mistakes. However, research shows that making mistakes helps your brain grow more. When your student gets stuck on a problem, encourage them to try different strategies, even if they are not sure if they are right.

Find the math in everyday life.

Relate math to daily activities at home, whether grocery shopping, preparing a meal, or planning for a trip to the store. Your student can help you figure out how many more apples there are than oranges in the grocery cart, show how to split a sandwich into fourths, or figure out how much change you’ll receive in exchange for a ten dollar bill. Encourage your student to point out ways that you use math in daily tasks.

Read the Unit Story with your student.

Each unit in Amplify Desmos Math K–5 begins with a read-aloud story to engage students and provide context for the math of the unit. Elements and characters from the Unit Story then appear in lessons throughout the rest of the unit.

Access our Featured Collection of free K–5 Lessons and Activities.

Explore our latest free K–5 content in our Desmos Classroom Featured Collection. With our free collection, you can access:

  • Digital Lessons: Engaging interactive lessons
  • Mini-Lessons: A mix of print and digital activities designed for small-group instruction
  • Math Routines: Short digital activities to kick-start instruction and encourage math discussions
  • Bite-Sized Math Moments: Digital practice activities that use Polypad virtual manipulatives, designed to be used flexibly

Click here to access the collection and sign up for a free account.

How do caregivers access the program at home?

Your student will have access to all learning, practice, and assessment materials through the Amplify platform. Students can access the digital curriculum in school and at home by following these simple instructions.

  • Click the orange Login to Amplify Desmos Math button below.
  • Select Log in with Amplify.
  • Enter your student’s username and password provided by your student’s teacher.
  • Select your student’s grade level.

What’s new

The Tech User Manual has been updated for EOY.

About mCLASS in Louisiana

The Louisiana Department of Education is committed to providing literacy instruction for all by:

  • Aligning core curriculum, instruction, and assessments with the Science of Reading.
  • Providing appropriate literacy interventions to address difficulty with reading development.
  • Implementing practices based on the Science of Reading in every classroom, every day.
  • Offering aligned resources to parents, guardians, and family members.

Built on decades of research at the Center on Teaching and Learning at the University of Oregon (a national center for early childhood assessment and instruction), the mCLASS suite meets Louisiana’s early literacy goals for its students with a robust core curriculum and a suite of reporting, grouping, lesson, and caregiver support features.

DIBELS measures at each grade level 
Measure Grade K Grade 1 Grade 2 Grade 3
Letter naming fluency A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.    
Phonemic segmentation fluency A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.    
Nonsense word fluency A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.
Word reading fluency A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.
Oral reading fluency   A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.
Maze (basic comprehension)     A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.

Enrollment resources

EOY enrollment timeline: 

  • 3/3- 3/17: Admin Portal closed 
    • Students and staff are still able to log into mCLASS
    • Students are still able to assess Progress Monitoring
    • No EOY assessments taking place at this time 
    • Data Reporting (classroom and aggregate reports) is still available
  • 3/18: Admin Portal reopens 
  • 4/1: EOY begins

Student Transfers:

For instructions on transferring students into a district from a different district within the state, see the Transferring Students section of the Test Coordinator Manual: K–3 EOY.

To add students to your district who are transferring to your school from outside of LDOE, please follow the process in the Enrolling Students section of this article.

End of Year and G3 Summer window resources

  • Test Coordinator Manual (District and School Test Coordinators only): This manual provides instructions for administrative tasks for DTCs and STCs.
  • Test Administrator Manual for the Secure K–2 End of Year Literacy Assessment: This manual for Test Administrators provides instructions for administering the secure EOY assessment.
  • Test Administration Manual: Grade 3 End of Year Literacy Assessment:  This manual for Test Administrators provides instructions for administering EOY assessment to Grade 3 students.
  • Tech User Guide: This manual for District and School Technology Coordinators provides instructions for installing the safe browser (Windows/Mac) or kiosk mode applications (Chromebook) needed for secure EOY assessment.
  • Accessibility and Accommodations Manual: This manual includes information about the accessibility features offered for secure EOY assessment, as well as the standard DIBELS 8th Edition Accommodations.
  • For information about student demographics in the Admin Portal, see LDOE Admin Portal: Demographics.
  • New Troubleshooting for ChromeOS Kiosk Mode guide is available for Technology Coordinators supporting Test Administrators who encounter an error message when launching the Chrome kiosk mode applications.

How to: Install the Safe Exam Browser

This section provides instructions for installing the Safe Exam Browser (SEB), which is needed to assess K-2 students during EOY in Louisiana. Depending on your device type, download the SEB app from the Apple App Store or this site.

If you are using a Chromebook, you will use kiosk mode instead of the SEB. The Tech User Guide includes instructions for installing the applications needed to use kiosk mode, as well as instructions for installing the SEB and additional information to set up devices for secure End of Year (EOY) assessment.

Windows

Browser: Chrome (latest 2 versions)

iPad

  • Navigate to Safe Exam Browser in the App Store on your iPad.
  • Tap the Safe Exam Browser app icon to open the app page.
  • Tap Get to download and install the app.
  • For instructions on installing the SEB, see the Tech User Manual.

macOS

  • Download the DMG file.
  • Depending on your browser, a download page may open in a new tab, displaying the download progress. When the download is complete, close the tab. 
  • For instructions on installing the SEB, see the Tech User Manual.

Progress Monitoring

This guide provides instructions for administering progress monitoring (PM) assessments in Louisiana schools. 

Please note that the steps for accessing and administering PM assessments are different for schools with an mCLASS Intervention license than for schools that do not have an mCLASS Intervention license.

Amplify Tutoring: HDT driven by mCLASS data

An adult and child sit at a table, smiling and giving each other a high five. The child wears blue headphones and a laptop is on the table. The background is light blue.

Grounded in evidence-based practices and taught by caring, consistent tutors, our high-impact tutoring programs use high-quality instructional materials and data-driven mCLASS® products to empower students.

  • Data-driven, personalized instruction
  • Research-backed solutions tailored to support your MTSS framework
  • Customizable–before, during or after school year-long, semester-long and summer programming
  • Comprehensive program management and staffing support

Professional development

Amplify professional development (PD) provides learning experiences that intentionally develop the knowledge and skills you need for effective and self-sustaining implementation.

Go to the PD Library to access self-paced online courses, webinar recordings, videos, and more to help you learn how to administer and score the assessment and develop a deeper understanding of reporting and instruction.

If you are interested in purchasing additional PD for your school or district, please reach out to your account executive.

Additional mCLASS information

mCLASS gives you instant results and clear next steps for each student. Quick and actionable reports provide detailed insight into students’ reading development across foundational literacy skills for teachers, specialists, administrators, and caregivers.

View the EOY mCLASS Reporting Guide to learn more.

View the BOY/MOY mCLASS Reporting Guide to learn more.

Additional resources around mCLASS reporting can be found by navigating to the Programs & Apps section and then selecting PD Library

Graph showing emma ashley's progress in letter sounds from august to may, starting well below benchmark at 20, reaching 74 by december, and surpassing the benchmark with 90 in may.

To continue your own professional learning around the Science of Reading, join your colleagues who’ve subscribed to our podcasts and communities!

Science of Reading: The Podcast delivers the latest insights from researchers and practitioners in early reading. Further your professional development with each episode by subscribing and downloading now.

Science of Reading: The Community is built for those committed to fostering conversation around the Science of Reading and implementing best practices in the classroom (including the virtual classroom).

What does classroom instruction look like when it is based on Science of Reading practices? We’ve outlined a Science of Reading action plan to guide your evaluation in our new FREE ebook, Science of Reading: Making the shift.

A presentation slide titled "Science of Reading: Making the shift" with subtitle "Surveying classroom instruction" and colorful ribbon graphics.

The mCLASS Home Connect website houses literacy resources for parents and caregivers, including at-home lessons organized by skill to help students at home during remote learning. Our mCLASS parent/caregiver letters in English and Spanish ensure that families know how to best support their students.

Screenshot of the mclass home connect website showing educational activities in three categories: word race, count the ways, and mystery game, with navigation options at the top.

mCLASS support

Our chat agents are standing by to assist you!
Simply log in at my.amplify.com/login/louisiana and select the orange button in the lower right corner to chat live with our support team.

Important note:
Our support hours are Monday through Friday, 7 a.m. to 6 p.m. CT.

Check out the DIBELS 8 LDOE Help Center for more help at any point during implementation.

A laptop screen displaying the AmplifyELA program with sections for different grade levels and core units, featuring colorful icons and a menu on the left side.

Additional Amplify products

Get in touch with us to learn more about bringing other high-quality Amplify programs to your school or district.

Professional development for supplemental programs

Amplify professional development provides learning experiences that intentionally develop the knowledge and skills you need for effective and self-sustaining implementation.

Learn and apply effective instructional techniques and develop a deeper understanding of your Amplify supplemental program(s) by investing in professional development (PD).

Amplify professional development has been vetted by Rivet Education’s team through a rigorous three-step process and is listed in the Professional Learning Partner Guide.

A group of adults using computers in a classroom, next to illustrations of a robot holding a tablet and a cartoon mouse making a peace sign.

About Amplify PD

Take a systematic approach to drive lasting change. Partner with us to create a learning plan that enhances implementation, instruction, and student impact.

Amplify’s professional development ensures successful, sustained implementation through strategically bundled packages that provide continuous support adapting to your educators’ evolving needs.

Session types

Our supplemental sessions include:

LAUNCH STRENGTHEN  
Beginning of the year Mid-year, end of the year  
Three people work together at a computer in a classroom; one woman points at the monitor while the others watch attentively.
Two people sit at a table reviewing documents together against a yellow background. An icon of a barbell is displayed in the top left corner.
 
Introduce programs and support implementation. Target specific instructional practices.  
Before teaching
After 6+ weeks of teaching
 

Amplify supplemental programs

Providing students with personalized targeted instruction and practice, Amplify’s digital intervention and supplemental programs empower teachers with tools to enhance the teacher-student relationship, making it more informed and responsive.

Learn how to get the most out of your supplemental program(s) through Amplify’s PD.

  • Boost Reading is a K–5 digital intervention program that helps students close literacy gaps through adaptive instruction based on the Science of Reading. Built for Multi-Tiered System of Supports frameworks, it delivers differentiated skill development across every tier, providing targeted, student-led practice alongside growth reporting that empowers teachers to intervene where support is needed most.
  • Boost Lectura is a K–2 digital intervention program that delivers differentiated instruction in foundational Spanish literacy skills. Built on the Science of Reading, Boost Lectura uses riveting storylines and an adaptive curriculum to engage students in powerful, targeted digital reading instruction.
  • Boost Close Reading is a differentiated reading program for grades 6–8 that helps students acquire the close reading skills needed to read and understand complex texts. Students build their skills as they journey through the dystopian world of “The Last Readers,” making progress by practicing critical reading through guided instruction and text-dependent questions that prepare them for the challenges they will face on assessments.
  • Boost Math drives tiered intervention and practice for grades K–8 by using assessment data to place students into targeted learning pathways. Through a research-backed mix of personalized learning, teacher-led small groups, and student-led practice aligned to core instruction, Boost Math turns assessment into action.

Whatever your unique needs this school year, you’ll find professional development offerings that will help you meet them. Find out more below!

Boost Reading and Boost Lectura

Launch sessions

Propel your teachers into the new school year with sessions that introduce them to their Amplify program(s) and support a strong implementation.

Boost Reading, Boost Lectura, Boost Close Reading On-site or virtual
2 hr.

Online course
Self-paced

Getting started for teachers  
Getting started for leaders  
Getting started for teachers  
Getting started for leaders  
Boost Math
Boost Math is powered by mCLASS Math data. For Boost Math users, the recommended Launch session is an on-site or virtual three-hour mCLASS Math Program overview.

Getting started for teachers

On-site or virtual, 2 hours

Learn the essentials of your Boost program(s), including program structure and navigation, and leave ready for a strong implementation.

Session options: Boost Reading, Boost Lectura, Boost Close Reading, Boost Math

Audience: Teachers, instructional staff (maximum 30 participants)

Language: The Boost Reading and Boost Close Reading sessions are facilitated in English. The Boost Lectura session can be facilitated in English or Spanish.

Getting started for leaders

On-site or virtual, 2 hours

Prepare to support effective program implementation and leave ready to leverage Admin Reports to accelerate student outcomes.

Session options: Boost Reading

Audience: Leaders (maximum 30 participants)

Getting started for teachers

Online course, self-paced

Learn the essentials of your Boost program(s), including program structure and navigation, and prepare to implement the program through this on-demand course.

Upon finishing the course, participants can download a certificate of completion. This subscription includes an individual seat in the course, which takes approximately 2 hours to complete. Participants will be able to access and revisit the course as needed for up to one year.

Session options: Boost Reading, Boost Lectura, Boost Close Reading

Audience: Teachers, instructional staff (individual seat)

Language: All online courses are presented in English.

Getting started for leaders

Online course, self-paced

Prepare to support effective program implementation and learn how to leverage Admin Reports to accelerate student outcomes through this on-demand course.

Upon finishing the course, participants can download a certificate of completion. This subscription includes an individual seat in the course, which takes approximately 2 hours to complete. Participants will be able to access and revisit the course as needed for up to one year.

Session options: Boost Reading

Audience: Leaders (individual seat)

Available July 2026

Begin: mCLASS Math: Program overview for K–5 or 6–8 teachers

Available for grades 6–8 teachers July 2026

On-site or virtual, 3 hours

Dive into the essentials of your mCLASS Math assessment program to learn how these assessments both highlight students’ strengths and help identify what’s next through an asset-based approach. Leave ready to administer assessments and understand reporting.

Audience: Teachers, instructional staff (maximum 30 participants)

Strengthen sessions

Strengthen your Amplify implementation with a program-specific session that supports personalized learning and practice in your classrooms.

Boost Reading, Boost Close Reading Virtual, 1 hr.
Maximizing data for teachers
Boost Math On-site or virtual, 3 hr.
mCLASS Math and Boost Math: Understanding and using data to plan intervention for K–5 teachers

*Supplemental Strengthen sessions should be scheduled after participants have at least six weeks of student data to enable participants to work with their own data.

Focus Strengthen: Maximizing data for teachers

Virtual, 1 hour

Learn how to leverage the Boost teacher dashboard to accelerate data-driven student outcomes.

Session options: Boost Reading, Boost Close Reading

Audience: Teachers, instructional staff (maximum 30 participants)

New session

mCLASS Math + Boost Math: Understanding and using data to plan intervention for K–5 teachers

On-site or virtual, 3 hours

Explore how Boost Math uses mCLASS Math data to inform intervention recommendations and monitor student progress. Dig into your student data, explore relevant instructional resources, and leave with actionable next steps for intervention.

Session options: For users of both mCLASS Math and Boost Math programs

Audience: Teachers, instructional staff (maximum 30 participants)

Additional supplemental programs and PD

Additional sessions are also available for Boost Reading+.

To learn more about enhancing your Amplify experience by purchasing additional supplemental programs and/or accompanying PD sessions, contact your account executive.

Get in touch with a PD expert.

Families and caregivers, welcome to Amplify Desmos Math 6–12!

Welcome to the Amplify Desmos Math Grade 6–Algebra 2 Caregiver Hub. We’ve designed this space to help you support your student at every stage of their math journey. 

In class, your student engages with digital lessons using devices as well as write-in Student Edition books. They also may be assigned digital or print practice outside of class. Below, you’ll find some suggestions and resources for how you can support their learning at home.

Learn more about Amplify Desmos Math.

Para la versión en español, haga clic aquí.

Person wearing a construction hat and safety vest in a wheelchair, discussing with a phone and controlling the placement of a large triangular piece in a construction setting, with math symbols around.

Caregiver Unit Resources

For every unit of the program, we’ve created a Caregiver Resource that provides a summary of each lesson, plus a problem to try with your student (and an answer key). These resources are available in both English and Spanish, as well as a glossary of key terms in both languages.

Unit 1: Area and Surface Area

Unit 2: Introducing Ratios

Unit 3: Rates and Percentages

Unit 4: Dividing Fractions

Unit 5: Decimal Arithmetic

Unit 6: Expressions and Equations

Unit 7: Positive and Negative Numbers

Unit 8: Describing Data

Unit 1: Scale Drawings

Unit 2: Introducing Proportional Relationships

Unit 3: Measuring Circles

Unit 4: Proportional Relationships and Percentages

Unit 5: Operations With Positive and Negative Numbers

Unit 6: Expressions, Equations, and Inequalities

Unit 7: Angles, Triangles, and Prisms

Unit 8: Probability and Sampling

Unit 1: Rigid Transformations and Congruence

Unit 2: Dilations, Similarity, and Slope

Unit 3: Proportional and Linear Relationships

Unit 4: Linear Equations and Linear Systems

Unit 5: Functions and Volume

Unit 6: Associations in Data

Unit 7: Exponents and Scientific Notation

Unit 8: The Pythagorean Theorem and Irrational Numbers

Unit 1: Area and Surface Area

Unit 2: Introducing Ratios and Rates

Unit 3: Fractions and Decimals

Unit 4: Expressions and Equations

Unit 5: Proportional Relationships

Unit 6: Percentages

Unit 7: Positive and Negative Numbers

Unit 8: Data Sets and Distributions

Course Glossary

Unit 1: Rigid Transformations and Congruence

Unit 2: Scale Drawings, Dilations, and Similarity

Unit 3: Equations and Inequalities

Unit 4: Linear Relationships and Systems of Linear Equations

Unit 5: Functions

Unit 6: Associations in Data

Unit 7: Volume and Surface Area

Unit 8: Exponents and Scientific Notation

Unit 9: Pythagorean Theorem and Irrational Numbers

Course Glossary

Unit 1: Patterns and Sequences

Unit 2: Linear Equations and Inequalities

Unit 3: Describing Data

Unit 4: Describing Functions

Unit 5: Systems of Linear Equations and Inequalities

Unit 6: Exponential Functions

Unit 7: Quadratic Functions

Unit 8: Quadratic Equations

Unit refresh videos

Unit 1

  • Sub-Unit 1a – Calculating the Area of Parallelograms
  • Sub-Unit 1b – Calculating the Area of Triangles
  • Sub-Unit 2 – Determining the Surface Area of Rectangular Prisms

Unit 2

Unit 3

Unit 4

  • Sub-Unit 1 – Dividing Fractions Using Tape Diagrams
  • Sub-Unit 2 – Dividing Fractions Using Common Denominators
  • Sub-Unit 3 – Determining the Volume of Prisms With Fractional Dimensions

Unit 5

  • Sub-Unit 1 – Adding and Subtracting Decimals
  • Sub-Unit 2 – Multiplying Decimals Using Area Models
  • Sub-Unit 3 – Dividing Decimals Using Fractions
  • Sub-Unit 4 – Converting Between Fractions, Percents, and Decimals

Unit 6

  • Sub-Unit 1 – Writing and Solving Equations
  • Sub-Unit 2 – Writing Equivalent Expressions Using the Area Model
  • Sub-Unit 3 – Evaluating Expressions With Exponents
  • Sub-Unit 4 – Interpreting Graphs

Unit 7

  • Sub-Unit 1 – Ordering and Comparing Positive and Negative Numbers
  • Sub-Unit 2 – Identifying Solutions to Inequalities
  • Sub-Unit 3 – Plotting Points on the Coordinate Plane

Unit 8

  • Sub-Unit 1 – Creating Dot Plots
  • Sub-Unit 2 – Calculating Mean Absolute Deviation
  • Sub-Unit 3 – Interpreting Box Plots
  • Sub-Unit 4 – Predicting Population Using Sample Data (For use with Amplify Desmos Math New York)
  • Sub-Unit 5 – Predicting Sample Spaces Using Proportional Relationship (For use with Amplify Desmos Math New York)

Unit 1

  • Sub-Unit 1 – Using Ratios to Determine the Scale Factor Between Scaled Copies
  • Sub-Unit 2 – Using Ratios to Determine Unknown Scales in Scale Drawings

Unit 2

  • Sub-Unit 1 – Determining the Constant of Proportionality
  • Sub-Unit 2 – Writing Equations for Proportional Relationships
  • Sub-Unit 3 – Comparing Proportional Relationships
  • Sub-Unit 4 – Representing Proportional Relationships with Multiple Representations

Unit 3

  • Sub-Unit 1 – Determining the Circumference of a Circle
  • Sub-Unit 2 – Calculating Areas of Complex Shapes

Unit 4

Unit 5

  • Sub-Unit 1 – Adding and Subtracting Positive and Negative Number
  • Sub-Unit 2 – Dividing Integers
  • Sub-Unit 3 – Solving Real-World Problems Involving Positive and Negative Numbers

Unit 6

  • Sub-Unit 1 – Writing Equations from Descriptions and Tape Diagrams
  • Sub-Unit 2 – Solving Equations With Positive and Negative Numbers
  • Sub-Unit 3 – Solving Inequalities

Unit 7

  • Sub-Unit 1 – Determining Unknown Angle Measures
  • Sub-Unit 2 – Determining If Three Segments Form a Triangle
  • Sub-Unit 3 – Calculating the Surface Area of Prisms

Unit 8

  • Sub-Unit 1 – Predicting Sample Spaces Using Proportional Relationships
  • Sub-Unit 2 – Predicting Population Using Sample Data

Unit 1

  • Sub-Unit 1 – Determining Coordinates After a Rotation
  • Sub-Unit 2 – Using Rigid Transformations to Determine if Two Figures on the Grid are Congruent
  • Sub-Unit 3 – Determining Unknown Interior and Exterior Angles

Unit 2

  • Sub-Unit 1 – Performing Dilations on a Square Grid
  • Sub-Unit 2 – Determining Missing Side Lengths in Similar Triangles
  • Sub-Unit 3 – Calculating Slope By Drawing Similar Triangles on a Coordinate Plane

Unit 3

  • Sub-Unit 1 – Writing Equations to Represent Proportional Relationships
  • Sub-Unit 2 – Interpreting Slope and Intercepts of Linear Relationships
  • Sub-Unit 3 – Calculating Slope Given Two Points

Unit 4

  • Sub-Unit 1 – Solve Single-Variable Equations with Parentheses
  • Sub-Unit 2 – Solving Systems of Linear Equations by Graphing

Unit 5

  • Sub-Unit 1 – Justifying Whether a Graph Represents a Function
  • Sub-Unit 2 – Comparing Properties of Linear Functions
  • Sub-Unit 3 – Calculating Volumes of Cylinders

Unit 6

  • Sub-Unit 1 – Interpreting Points on a Scatter Plot
  • Sub-Unit 2 – Using Lines of Fit to Make Predictions
  • Sub-Unit 3 – Calculating Missing Values in Two-Way Tables

Unit 7

Unit 8

  • Sub-Unit 1 – Approximating Square Roots
  • Sub-Unit 2 – Calculating Unknown Side Lengths
  • Sub-Unit 3 – Identifying Rational and Irrational Numbers

Unit 1

  • Sub-Unit 1 – Determining If a Sequence is Arithmetic, Geometric or Neither
  • Sub-Unit 2 – Using Visual Patterns or Terms in the Sequence to Write Explicit Expressions for Arithmetic and Geometric Sequences

Unit 2

  • Sub-Unit 1 – Solving Linear Equations
  • Sub-Unit 2 – Solving Multi-Variable Linear Equations
  • Sub-Unit 3 – Graphing Solutions of Two-Variable Linear Inequalities

Unit 3

  • Sub-Unit 1 – Calculating Values in Two-Way and Relative Frequency Tables
  • Sub-Unit 2 – Comparing Data Using Mean and Standard Deviation
  • Sub-Unit 3 – Interpreting Slope and y-intercept in Context

Unit 4

  • Sub-Unit 1 – Evaluating Function Notation
  • Sub-Unit 2 – Writing Domain and Range with Inequalities
  • Sub-Unit 3 – Graphing Piecewise-Defined Functions
  • Sub-Unit 4 – Writing Recursive Definitions in Function Notation

Unit 5

  • Sub-Unit 1 – Solving Systems of Linear Equations by Substitution
  • Sub-Unit 2 – Graphing Solutions to Systems of Inequalities

Unit 6

  • Sub-Unit 1 – Writing Exponential Functions from Graphs
  • Sub-Unit 2 – Calculating Percent Change in Exponential Functions
  • Sub-Unit 3 – Writing Equivalent Expressions Using Radicals and Rational Exponents
  • Sub-Unit 4 – Writing Exponential Functions Involving Compound Interest

Unit 7

  • Sub-Unit 1 – Describing Key Features of Parabolas
  • Sub-Unit 2 – Graphing Quadratic Functions in Factored Form
  • Sub-Unit 3 – Writing Quadratic Functions in Vertex Form

Unit 8

  • Sub-Unit 1 – Rewriting Factored-Form Expressions in Standard Form
  • Sub-Unit 2 – Solving Quadratic Equations by Graphing
  • Sub-Unit 3 – Solving Quadratic Equations by Completing the Square
  • Sub-Unit 4 – Solving Quadratic Equations Using the Quadratic Formula

Access Amplify Desmos Math at home.

Your student will have access to all learning, practice, and assessment materials through the Amplify platform. Students can access the digital curriculum in school and at home by following these simple instructions.

  • Click the Amplify Desmos Math button.
  • Select Log in with Amplify.
  • Enter the username and password provided by your student’s teacher.
  • Select the desired grade level.

Once logged in, you and your student can view work by opening previous assignments.

Learn how to navigate the student home page.

Support math learning at home.

You can support your student’s math learning outside of school in many ways:

Relate math to daily activities at home, whether you’re baking, grocery shopping, or planning a trip. Your student can help you calculate the prices when you use a coupon, figure out how to cut a recipe in half, or determine the amount of gas you’ll need to make it to your destination.

Invite your student to walk you through how they solved each problem or talk about any parts that were challenging for them. To encourage the use of math language, consider asking, “How do you know?,” “How can you show your thinking?,” or “How would you describe that?” If students get stuck, consider asking questions like, “What information do you know here?” or “How could you represent this problem?”

Remind your student that getting stuck is part of the process and a necessary—beneficial, even!—part of learning. Many students (and adults) fear making mistakes. But research shows that making mistakes helps our brains grow. When your student gets stuck on a problem, encourage them to keep trying different strategies, even if they’re not sure they’re right.

We hope your student enjoys exploring math, working with friends to solve problems, and learning new and interesting concepts. And we hope you enjoy this exciting math journey with them!

Get more information.

Have a question about Amplify Desmos Math? Visit our help library to search for articles with answers to your program questions. For additional support, please contact your student’s teacher.

What is Amplify Math?

Amplify Math is a core math curriculum built for grades 6, 7, 8, and Algebra 1. It features a full suite of products for teachers and students that includes lesson plans, instructional materials, practice, assessments, and support to meet all learners’ needs. Amplify Math is built upon the highly rated curriculum, Illustrative Mathematics’® IM K–12 Math™, which was heavily researched and field-tested and has earned an all-green score on EdReports, the nationally recognized non-profit curriculum evaluation organization.

Read the review on EdReports.

Amplify Math helps students learn math in a way that is engaging and relevant to the world around them using student-centered instruction, which has been proven to increase students’ motivation, engagement, and enjoyment of math. Students using the program are active participants in their learning, solving problems while working with their classmates.

The digital experience allows your student’s teacher to monitor your student’s work in real time and make sure they get the exact support that they need at every part of the lesson. Amplify Math’s open-ended tasks provide engaging challenges for students of all levels, preparing them to solve all types of problems. The parts of Amplify Math work together to help students master the key skills of a 21st century learner!

Features

Some of the unique features of Amplify Math include:

  • Narrative connections: Exciting stories that help students to make connections between the math they learn in class and their everyday lives, making math class more engaging for your student.
  • Amps: Interactive digital activities (included in every lesson) let your student can explore the math and collaborate with their peers.
  • Power-ups: Additional activities that teachers can use to identify when your student needs support and help your student improve on the most important skills.
  • Featured mathematicians: Stories of important mathematicians that help your students see themselves mirrored in the history of math.

Why student-centered instruction?

A group of people and a unicorn amplify math skills as they listen to a presenter showing a bar chart with "Yes" and "No" on the screen.

Student-centered instruction may look different from the way students have learned math for decades, and maybe even the way you learned math. Student-centered instruction instead emphasizes student-led discovery. When students explore and discover strategies, they are more engaged and make longer lasting connections.

Research shows that students and teachers alike prefer this method, and teachers report that student-centered instruction has helped their students learn more math. This way of learning helps students to remember what they learn in class and apply their knowledge to new situations. Students who experience student-centered instruction have been shown to perform better on standardized tests and have more growth in their grades than their peers who learn through other methods. Your student will also learn to communicate in writing and verbally, understand and challenge the opinions of others, and build confidence in solving new problems. With student-centered learning, students will begin to develop key skills for success in college and the workplace, like using technology, completing projects independently and with others, and persevering through difficult problems.

What does an Amplify Math lesson look like?

Icons represent four classroom activities in Amplify Math: Warm-up (student at laptop), Activities (two students discussing), Summary and Reflection (teacher at board), Exit Ticket and Practice (student at laptop).

Students using Amplify Math will be active participants in their learning and get practice solving interesting and new types of problems. Here’s what a typical Amplify Math lesson includes:

  • Warm-up: A short, attention-getting problem to get students interested in the lesson
  • Activities: 2-3 mini-activities that challenge students’ problem-solving skills
  • Summary: Discussion to review and bring together the important concepts from the lesson
  • Exit Ticket: Questions for students to show what they know from the lesson
  • Practice: Additional problems your student’s teacher may assign for classwork or homework

In class, your student will spend their time working on challenging problems while the teacher acts as a guide, highlighting different strategies for solving problems and helping students to understand the reasoning behind the math they do in class. Your student will be pushed to think more deeply about the math in their class as the teacher and other students question them on why their ideas make sense. Research has proven that this method helps students become better problem solvers, critical thinkers, and have a stronger conceptual understanding of what they are learning. 

Check out lessons from Grade 6Grade 7Grade 8, and Algebra 1, and watch this video of a typical Amplify Math lesson:

Materials overview

Your student will have access to all learning, practice, and assessment materials through the Amplify platform. In addition, depending on the district, your student may also have a print Student Edition to use instead of the digital lesson if they do not have a device or internet. The Student Edition is a workbook that students can use to complete their work on problems and practice within the lessons.

Students can access the digital curriculum in school and at home with login information provided by their teachers. You can contact your student’s teacher to learn more about how they log in. Here are some key resources of the digital platform for students:

  • Digital activities to allow students to explore and make sense of math, leading to increased engagement and understanding
  • Digital supports such as a calculator and manipulatives to support all students where they are
  • Power-ups to give students just-in-time practice with key skills
  • Ability to access instructional materials in English or Spanish

Unit Caregiver Letters

Click a unit below to download the caregiver letter for that unit, in both English and Spanish.

How to support your student

A person inside looks out a window at someone holding up a chart with intersecting lines and arrows, aiming to amplify math concepts. There are plants on the windowsill.
  • Review the unit caregiver letters to understand the key concepts in each unit. You can walk through the worked examples with your student, asking them to explain the strategy shown and asking if they know any other strategies to solve the problems. 
  • Your student’s teacher may assign practice problems at the end of each lesson for classwork or homework. Ask your student to walk you through how they solved each problem or talk about any parts that were challenging for them. 
  • Emphasize that getting stuck is part of the process and a necessary part of learning. Many students (and adults!) fear making mistakes, however, research shows that making mistakes helps your brain grow more. When your student gets stuck on a problem, encourage them to try different strategies, even if they are not sure if they are right. 
  • Relate math to daily activities at home, whether it be baking, grocery shopping, or planning for a road trip. Your student can help you figure out the price of an item after a coupon, cut a recipe in half, or figure out how much gas you’ll need to make it to your destination. Encourage your student to point out ways that your family uses math in your daily tasks.

Want to learn more?

Interested in learning more about Amplify Math? These resources will help you dig deeper:

Welcome, Amplify Tutoring caregivers!

Welcome to Amplify Tutoring! We’re excited to support your student with high-impact tutoring in both reading and/or math. Our program is grounded in research and designed to build confidence, strengthen foundational skills, and accelerate learning. We also provide tools and resources to help teachers and caregivers work together to create a strong culture of learning at home and at school. Para la versión en español, haga clic  aquí.

An adult and a child wearing blue headphones smile and give each other a high five while sitting at a table with a laptop.

What is high impact tutoring?

High-impact tutoring is small-group, targeted instruction that can lead to significant learning gains. Amplify Tutoring achieves these gains through the following best practices:

High-quality
materials

Tutors use high-quality reading and math lessons that are proven to work. You’ll see real progress and growth through your child’s individual data.

Frequent and consistent high-impact
tutoring sessions

Tutors provide personalized attention in small groups. Our program is designed for students to participate in three or more 30-minute sessions per week.

Supportive relationships and training

Consistent tutor-student pairings support relationship-building and higher achievement. Tutors receive ongoing professional development.

Amplify Tutoring provides your student with engaging and effective tutoring programming throughout the year.

Minutes matter

Every minute counts in helping your child learn and grow. To get the most out of tutoring, it’s important they come on time and attend regularly. Here are a few quick reminders:

How you can help your child get the most from tutoring

  1. Communicate with your child’s teacher. If your child can’t make it to tutoring, just let the teacher or coordinator know so they can support them.
  2. Make tutoring days a priority. Try your best to make sure your child is at school on tutoring days. Every session helps them grow!
  3. Ask for the tutoring schedule. Reach out to your child’s teacher or the tutoring coordinator to find out the days and times for tutoring.
  4. Plan around tutoring time. If you can, schedule appointments and other activities at different times so your child doesn’t miss a session.

Talking to your student about their Amplify Tutoring sessions

Discuss tutoring with your student at home or while getting ready for the day. To support their learning, you may consider:

Celebrating progress

Ask:

  • What new reading skills or strategies have you learned?
  • How has your reading improved since starting tutoring?
  • Do you have any favorite books or activities in tutoring?

Setting goals together

Ask:

  • What reading skills would you like to improve in tutoring?
  • What goal would you like to achieve by the end of the tutoring program?
  • What steps can you take to help achieve those goals?
  • How can I help support your goals?

Sharing your support

Ask:

  • How can I help you with your reading or math?
  • Can we set aside time each day for you to practice your skills?
  • What was the most interesting part of your tutoring session? 
  • What do you feel proud of achieving in this week’s sessions? 
  • When did you feel really excited about what you were learning?

Amplify Tutoring literacy support materials and resources

Caregivers, please find materials and resources below that may be helpful to you and your student.

mCLASS:

  • Schools participating in Amplify Tutoring use mCLASS assessment and mCLASS Intervention.
  • mCLASS assessment identifies reading risks and helps address student needs through targeted interventions such as high-impact tutoring.
  • Check the Understanding mCLASS guide for reading assessments, caregiver resources, and growth.
  • Explore the mCLASS caregiver hub in English and Spanish.
  • View the sample HomeConnect letter that highlights your student’s strengths and growth areas.
  • Visit the HomeConnect site which offers activities for your family to practice important literacy skills with your child. 

Boost Reading:

  • Boost Reading provides personalized instruction based on the Science of Reading.
  • It complements your student’s high-impact tutoring, giving them a place to practice the same skills.
  • Explore Boost Reading caregiver resources.

Note: All schools participating in Amplify Tutoring use mCLASS Intervention. Ask your student or their teacher about the implementation of Boost Reading.

Amplify Tutoring math support materials and resources

Caregivers, please find materials and resources below that may be helpful to you and your student. 

Amplify Math Tutoring materials:

Learn more about the mCLASS Math Assessment your student will take.

  • Schools participating in Amplify Math Tutoring use Amplify’s mCLASS math assessment, Amplify Desmos Math Mini-Lessons, and Amplify’s Fluency by Heart.
    • mCLASS assessment provides valuable insights into student math thinking. It shows how students think about grade-level math and what they already understand.
    • Amplify Desmos Math Mini-Lessons are the lessons tutors use to help guide your student through grade-level math concepts.
    • Amplify’s Fluency by Heart is the fact fluency program your student will use during tutoring. Students are encouraged to continue to practice their fact fluency through this program outside of tutoring, too!
  • Explore the Math Caregiver Hub in English and Spanish to learn more about Amplify Desmos Math!

Tutoring impacts

Amplify Tutoring works for students who need it most! In one large study of Amplify Tutoring in action, 70 percent of students who scored below benchmark and participated regularly in Amplify Tutoring made above-average growth. Tutored students were 22 percentage points more likely to make outsized growth than peers with a similar profile who did not receive high-impact tutoring at their school.

By providing targeted support tailored to individual needs, Amplify Tutoring enables students to receive the assistance they need and deserve.

See how Amplify Tutoring accelerates learning.

Looking for help or more information?

Visit amplify.com/tutoring to learn more about Amplify Tutoring.

For additional support, please contact your student’s teacher.

Thank you for everything you do to support your student’s learning!

Amplify Science – West Virginia – state review

To view this protected page, enter the password below:



How can teachers find new energy in the science classroom?

Hear from our Science Connections: The Podcast guest and science PD expert Jessica Kesler

In the final episode of the latest season of Science Connections: The Podcast, host Eric Cross sits down with Jessica Kesler, professional development facilitator for science teachers. 

During the episode, Kesler describes her passion for sharing high-impact teaching strategies for science teachers and her experiences teaching in Philadelphia, and discusses how teachers’ roles often involve more than just delivering content.

Read on for a peek at the episode, and to learn more about science professional development for teachers. 

Meet Jessica Kesler

“I wanted to be a surgeon,” says Kesler. But learning about science ultimately inspired her to help others learn it, too. Her passion is to empower educators to create engaging and effective classrooms that will foster future leaders, work she is able to do in her role as a professional development facilitator at TGR Foundation, a Tiger Woods charity. This position enables her to develop and implement professional learning experiences focused on STEM-based, student-centered learning practices.

Before joining the TGR Foundation, she taught in Philadelphia schools as a chemistry and science teacher for grades 4–12, which was a bit of a culture shock. Kesler had gone from teaching near-adults who could drive themselves to school to teaching young children who often related to teachers as parent figures. The experience taught her a lot about “patience and breaking information down even smaller,” she says.

I had to figure out new and inventive ways to teach science and bring it down so far that students would be able to grab onto it and achieve it. It was a challenge,” she continues.  “But in the end it paid off. We hit our goals out of the park.

Teachers are the multipliers we need

Kesler and her team at the TGR Foundation designed their goals around a challenge issued by Tiger Woods himself: Reach millions of kids. 

They knew that reaching one student at a time would make it hard to reach their goals. 

The key? Focus on teachers, who can reach hundreds of students at a time. “They can have this multiplicative effect that can help us reach those millions of kids and help prepare them for careers,” she says.

Here are just a few of the teaching strategies and pieces of advice they offer science educators: 

  • Develop your inquiry environment. This means thinking not just about your physical space, but also your intellectual space. Kesler asks: “What are the things that you can embed into your physical space and develop in a student’s intellectual space that will help you create a holistic and growing environment?”
  • Be the entrepreneur of your classroom. Kesler and her team like to ask how a teacher can use entrepreneurial techniques to tackle issues in their schools, districts, and spheres of influence.

“Teachers are eager, but tired,” says Kesler. She notes that while school may be back in session, educators are still managing the effects of the pandemic and trying to get kids excited (and keep them excited) about science.

While teachers want to learn and do more, they are more concerned than ever about having enough time, funding, and energy to do so. 

Says Kesler: “I know you don’t have enough time to try to do 29 extra things. My advice is always: Do one thing at a time. Start with something small. Asking your students a few questions rather than lecturing to them doesn’t take a whole lot of extra time, but it gives you so much extra insight. So let’s not work harder. Let’s work smarter.” 

She continues: “It’s not Thanksgiving, where you just keep piling on a plate. It’s a time where you organize your inquiry to restructure your plates so that everything has a place and a time.”

Listen to the whole episode and to the rest of the podcast.

About Amplify’s Science Connections: The Podcast

Science is changing before our eyes, now more than ever. So how do we help kids figure that out? How are we preparing students to be the next generation of 21st-century scientists?

Join host Eric Cross as he sits down with educators, scientists, and knowledge experts to discuss how we can best support students in science classrooms. Listen to hear how you can inspire kids across the country to love learning science, and bring that magic into your classroom for your students.

Amplifying Your District Award winner

This Amplifying Your District Award honored two district leaders who are driving change using the Science of Reading in 2021. Motivated by low literacy rates in her school district, Alli Rice dug into the research behind the Science of Reading because she was determined to increase equity. Through various events and Knowledge Builders for the teachers in her care, she then effectively led the shift to a research-based curriculum in her district. Read on for our conversation with Alli about her work with the Science of Reading!

What does the Science of Reading mean to you?

For me, it’s really about equity. Thousands of kids are already a step behind because of their skin color, their neighborhood, or their zip code,  all of these things that really shouldn’t define their academic ability or their opportunity in life. I’ve looked at statistics around prison populations and illiteracy rates. Some, so many adults are functionally illiterate and they can’t fully understand. They can’t even read their prescriptions.

I also work for a district where most of our kids are on the lower end for socioeconomic status. We have a very high ELL population and 63 home languages spoken in my district. And we are the urban center of our area. Historically, we have been a balanced literacy district, but we have watched our test scores decline.

Since discovering the Science of Reading and this completely different approach to teaching literacy, I feel like I have unlocked Pandora’s box of potential. By addressing our core and aligning our teaching practices, our students can feel success and our teachers will, too. My teachers here have the biggest hearts of any educators I have ever worked with, and they work tirelessly day in and day out to support our students. We try to provide as many enrichment opportunities to all of our kids and to expose them to the greatest and the best. The ability to read, to me, is the greatest civil right. If we’re not providing them that, I can’t sleep at night.

What news, materials, or information do you consume to help you teach?

We use Amplify CKLA and Amplify Reading and those programs are just wonderful. I am also an avid listener of Science of Reading: The Podcast. We arranged for Natalie Wexler and Susan Lambert to do a live professional development session in our district, which was so fantastic, especially for our most reluctant coaches and administrators. Our district-wide LETRS training has also been life-changing. We currently have 800 people who are completing the training, which has helped to align the district and put us all on this path to success.

One particularly impactful thing, and that I rely heavily on for support, is my teacher cadre. Each cadre is about 14 teachers in the district and they represent all of our clusters. We’ve partnered up with our Diversity, Equity, and Inclusion department to do text bias reviews on materials, which has been important for our adaptations for cultural responsiveness. Our selection cadre came from that as well, when we landed on Amplify CKLA for K–3. The teacher input and camaraderie I get from my cadre is so instrumental and I am so grateful for them.

What advice do you have for teachers starting out with the Science of Reading?

Find your people, find your community. I remember Margaret Goldberg’s presentation during last spring’s Science of Reading symposium, and how she said you need to find your dots,  you need to seek out like-minded people and go where they are. Find those people who are ready to make the change like you are, or perhaps have already done it, and can be that positive support system you need to make a difference. Don’t be afraid to message people on Twitter or Facebook or LinkedIn, ask about their experiences, and build that community around you. Find the ones who are going to partner with you, who will lead you the right way, who will take your calls. And read all the books!

Watch the Science of Reading awards show!

What does problem-based math learning unlock for students? Part 2

Webinar series recap, part 2 of 3

Our webinar series explores how problem-based learning engages all students in grade-level math every day, and how instructors can bring problem-based learning into their classrooms.

We reviewed part 1 of the series in this blog post. Now, in part 2, we dig deeper into this key aspect of problem-based learning: transferring responsibility for learning to the students.

So…now what? “If you watched Kristin Gray’s webinar,” says educator Kathleen Sheehy, “You may be thinking, ‘I learned so much about the power of problem-based learning. Where do I get started?’”

In this webinar, Sheehy joins fellow educator Ben Simon to explore how teachers can truly make that key shift toward student-centered instruction. “It is a journey. So we are going to talk about the small shifts that teachers and others can make that add up to something big,” Sheehy says.

The role of the teacher in student-centered learning

Most adults were not taught to do math this way as kids—and many teachers were not taught to teach math this way. When teachers have a lot of content to get across in limited time, it can feel risky to shift to a style that requires a bit of letting go.

“Student-centered instruction helps us embrace the idea that people can come at math ideas from different directions,” says Sheehy. “It’s collaborative and social. It focuses on problem-solving with an emphasis on multiple strategies and flexible thinking.”

Problem-based math learning may not be the sage-on-a-stage model, where the teacher stands up front and acts as the only math expert in the room—but it doesn’t mean the teacher relinquishes control, either. You can have both student-focused instruction and solid classroom management.

“It’s not a free-for-all. It’s very structured,” says Sheehy. “The teacher also plays a role in providing instruction and then guiding their students to the key takeaways they want for them.”

Building stakeholder investment

To be most effective, problem-based learning needs to be not only focused on the student but supported by the community as well. This means you aren’t the only one who needs to adjust to the new approach.

What actions can you take to build stakeholder investment? How can you get the principal, other teachers, parents, and kids (who are also accustomed to another style of learning) involved and excited?

Be able to articulate a really compelling reason why student-centered instruction is right for your students. The following are just a few research-backed examples:

  • It helps students develop deeper and longer-lasting mathematical understanding.
  • It helps students grow as problem-solvers, engaging them in productive struggle and collaboration and learning core life skills.
  • It helps students develop a growth mindset, which reduces math anxiety, boosts math confidence, and helps them relinquish the idea that someone either is or is not a math person.

When the teacher is the supporter of knowledge, not the gatekeeper, students lead the learning process and feel more confidence with and connection to math, says Sheehy.

How and where do you communicate these ideas? Sheehy and Dixon have found that providing a short hands-on math experience with problem-based learning examples can be very effective. This enables stakeholders to experience the difference themselves, especially when conducted in a low-stakes scenario like a parent math night or PD training.

Sheehy also suggests asking them what they think the impact of student-centered learning would have been for them when they were students. “We’ve heard people say things like, ‘I would have been way less anxious about math if I’d learned it this way,’” she says.

Making a plan to start the shift

“We’re not expecting to create a masterpiece overnight. It takes time to develop the teacher and student skills and to establish everything that needs to be in place,” Sheehy says, “You can’t get better at all the things all at once.”

Where to start? “Size up the shift,” she says, and make a plan.

“Using very clear look-fors can enable educators to decide where to focus,” says Sheehy. “‘What would I look for if I walked into a classroom that is beginning to engage in student-centered instruction?’”

Here are a few key elements to look for:

  1. Management of materials, routines, and classroom setup in a way that facilitates collaboration.
  2. Establishment of a classroom community (using norms charts, etc.) around the core idea that everybody belongs there and is a mathematician.
  3. A teachable structure that models the thinking process and creates predictability, allowing students to focus.

Sheehy and Dixon have found that a focus on these three areas helps teachers name what they are trying to improve in a systematic way.

“Once I tackle this first area and feel successful with that, I know what I’m going to tackle next, and after that,” says Sheehy. “These look-fors can help you make informed decisions that, little step by little step, can help you eventually get to where you want to be.”

How Amplify Math supports problem-based learning

Amplify Math is designed to support problem-based learning, so you’re making that shift every time you teach. The program specifically supports teachers in the planning and delivery of problem-based lessons, and enables them to monitor student progress and differentiate instruction based on real-time data.

Lessons start with warm-ups that tap into prior knowledge, then move into problems that require collaboration to solve. Teachers monitor, engage, and ultimately synthesize student work into the main idea. There are also ample opportunities for practice and reflection. 

Learn more about Amplify Desmos Math.

Register to watch the recording.

Subscribe to Math Teacher Lounge.

Pseudoscience examples for critical thinking skills

MIRACLE HAIR GROWTH! 

Quantum hair activation technology: This groundbreaking innovation goes beyond conventional science, delving into the realm of quantum energy to stimulate hair growth at the subatomic level. Blended with rare botanicals from ancient civilizations for luster and shine. Limited-time offer: Act now and receive a vial of stardust-infused hair serum!

Effective product…or pseudoscience? We’ll bet you guessed it. (Sorry, no stardust serum for you!)

While this hair product itself sounds like junk, reading about it can be a valuable experience for science students.

Teaching your students to identify pseudoscience in the world around them helps them learn to protect themselves from false claims that can be money-wasting at best, dangerous at worst.

And as they learn to discern, they also develop lifelong critical thinking skills!

We say knowledge is power but it’s not enough to know things, and there’s too much to know. Being able to think and not fall for someone’s bunk is my goal for my students.

—Melanie Trecek-King, biology professor and guest in Science Connections podcast Season 3, Episode 5: Thinking is power

Let’s explore how educators can use examples of pseudoscience to develop critical thinking skills—and incorporate NGSS (Next Generation Science Standards) science and engineering practices into their approach.

What’s the difference between science and pseudoscience?

Science is grounded in empirical evidence, rigorous testing, and the scientific method. Pseudoscience presents itself as scientific but lacks the fundamental elements of genuine scientific inquiry: evidence, peer review, and the capacity to generate accurate predictions.

Though pseudoscience may make vague claims, it has clear characteristics. When something is pseudoscience, it:

  1. Can’t be proven wrong: Makes claims that are unobservable or too vague.
  2. Professes “proof” without presenting actual evidence: Presents only anecdotal evidence, if any.
  3. Uses technobabble: See: “Quantum hair activation technology.”

For more characteristics of pseudoscience, check out Melanie Trecek-King’s episode of Science Connections!

To be sure, not all pseudoscience is harmful—pursuits and activities such as aromatherapy and astrology can be positive experiences in people’s lives—it just should not be defined as or considered science.

How addressing pseudoscience encourages critical thinking

When you teach students to identify pseudoscience, you are teaching them to use an evidence- and research-based approach when analyzing claims. Which is…science!

You are also:

  • Teaching them to engage in thoughtful and educational argument/debate.
  • Encouraging them to use their knowledge of science in the real world.
  • Creating real-world impact.

When students learn to identify pseudoscience—faulty products, myths, and disprovable “discoveries”—they’ll be prepared and informed when making real-world decisions.

Critical thinking exercises inspired by pseudoscience

We’ve talked about “miracle” hair growth treatments, which are more commonly targeted to adults. Students may have more commonly encountered claims about or ads for alkaline water or detox diets, conspiracy theories and instances of science denial, astrology, and more. These examples offer great opportunities to discuss how to determine the difference between science and pseudoscience.

Suggested activities:

  • Pseudoscience Sherlock: Ask students to find examples of pseudoscience in real life via social media, products sold in stores, or on the internet. Tell them to pay close attention to “articles” that are really ads.
  • Pseudoscience lab: Prompt students to back up their claim that a given example represents pseudoscience with evidence: e.g., lack of empirical evidence, controlled experiments, or unbiased sample; absence of peer-reviewed research; reliance on anecdotes; hyperbolic and unprovable claims.
  • Snake oil! Ask students to practice identifying pseudoscience by creating their own advertisements, commercials, or news segments for fake products or scientific “advancements.”
  • Spread the word: Ask students to create flyers, PSAs, or articles on how to identify the characteristics of pseudoscience.

Other activities that incorporate the NGSS while also sniffing out pseudoscience:

  • Asking questions: Encourage students to ask probing questions about pseudoscientific claims. How does this claim defy our current understanding of the natural world? What empirical evidence is missing?
  • Developing and using models: Have students create models that illustrate the differences between a pseudoscientific claim and a well-established scientific concept. This visual representation supports understanding and critical analysis.
  • Engaging in argument from evidence: Arrange debates where students argue for or against a pseudoscientific claim using evidence-based reasoning. This practice sharpens their ability to critically evaluate information.
  • Obtaining, evaluating, and communicating information: Ask students to research the history and impact of a specific pseudoscientific belief. Have them present their findings, highlighting how critical thinking could have prevented widespread acceptance of the claim.

Using examples of pseudoscience in your science classroom can help students learn to not only think like scientists, but navigate the real world, too.

Bertha Vasquez, former teacher and current director of education at the Center for Inquiry, has used these approaches with her students. As she shared on Season 3, Episode 6 of Science Connections: “I guarantee you that those students, when they walked into a store with their parents and they saw a product [with] a money-back guarantee [that] cures way too many things, and it’s based on ‘ancient plant wisdom’ and has ‘scientific’ language on the box, they may go, ‘Mom, I think these people are trying to sell you some pseudoscience.’”

More to explore

How teachers can address math anxiety

How teachers can address math anxiety

No one is born knowing the quadratic formula, or how to measure a triangle—math needs to be taught.

Likewise, no one is born a “math person”—or not a math person. And no one is born with math anxiety.

“Children don’t come with math anxiety,” says Dr. Rosemarie Truglio, senior vice president of curriculum and content for Sesame Workshop and a guest on Math Teacher Lounge. “Math anxiety is learned.” That’s actually good news because it means math anxiety can be unlearned, too. We can teach students (and even teachers) how to overcome it. In this post, we’ll cover some helpful learning strategies, teacher tips, and supports for caregivers.

Anxiety in—and beyond—the math classroom

First, let’s review what math anxiety is and is not.

Math anxiety is more than just finding math challenging, or feeling like you’re not a math person. Dr. Gerardo Ramirez, associate professor of educational psychology at Ball State University, defines it as “a fear or apprehension in situations that might involve math or situations that you perceive as involving math. Anything from tests to homework to paying a tip at a restaurant.” Here’s what else we know:

  • Causes: Math anxiety is not correlated with high or low skill or performance. For students who’ve been pressured to excel, math anxiety comes with the fear of not meeting expectations. For students who historically haven’t done well in math, the anxiety comes with the assumption they’ll do poorly every time. Other triggers include a mismatch between learning and teaching styles that can lead to struggle, or false cultural messages like “girls aren’t good at math.”
  • Consequences: People who suffer from math anxiety may deliberately avoid math, the consequences of which are obvious and far-reaching: not learning math at all, thus limiting academic success, career options, and even social experiences and connections. (This webinar mentions real-life—and relatable—examples of adults affected by math anxiety.)
  • Prevalence: Math anxiety affects at least 20 percent of students, and parents and teachers can suffer from math anxiety, too. In fact, some research suggests that when teachers have math anxiety, it’s more likely that some of their students will as well. Luckily, those teachers and parents can also play a key role in helping students (and maybe even themselves) get more comfortable with math.

Addressing math anxiety in the classroom

Math anxiety can arise from the contexts and cultures in which students encounter math, so it makes sense that we can also create conditions that can help reduce it—and even prevent it from taking hold. Here are some key strategies for helping even the most math-anxious students thrive:

  • Invite explicit conversation about math anxiety. In this webinarMath Teacher Lounge podcast co-host Bethany Lockhart Jones recommends having open and direct conversations with all students about how doing math makes them feel. “The more you know about your students’ ‘math stories,’ the more you can help them,” she says.
  • Build a positive, supportive, and collaborative math community where different learning styles and incorrect answers—often fuel for math anxiety—are considered part of the learning process. Embracing and working from wrong answers encourages students to focus on the “how” of math. Students feel more comfortable asking questions, taking risks, and making mistakes (as well as learning from them).

How do you build a supportive environment in your math classroom?

  • Cultivate a growth mindset. Create a culture where mistakes are not just acceptable, but inevitable—even welcomed. Encourage perseverance and persistence. Emphasize that being challenged by a math concept doesn’t mean a student is inherently bad at math or just can’t do it.  It means only that they can’t do it yet.
  • Encourage collaboration. Promote a culture of cooperation and teamwork by incorporating group activities, peer support, and class discussions into your lessons.
  • Play. Game-ifying problems and introducing friendly competition builds camaraderie and helps students find shared joy in math—a win-win!
  • Give students plenty of time. Alleviating the pressure of time constraints allows students to think more deeply, take brain breaks, make fewer rushed errors, and develop a sense of control and confidence. Here are some ways to build time into your math lessons:
    • Allow students ample time to think when you ask them questions.
    • Allow students to work on assignments in class with support and take them home to finish if they need more time.
    • Consider giving tests and quizzes in two parts and allowing students to complete them over multiple days.
  • Create a culture of revisions. Allowing students to revise homework assignments and tests/quizzes for partial credit will remind them that learning math is a process, not a mandate to get everything right the first time. This will help them deepen their understanding by learning from and correcting their errors—and remind them that mistakes are part of growth.
  • Use intentional language. The phrase “This is easy” might sound encouraging, but anxious students may hear it as “You should be able to do this.” Instead, use supportive, objective language such as “This problem is similar to when we…” or “Try using this strategy.”

Addressing math anxiety at home

Caregivers may be accustomed to reading to students at home, but sitting together and doing math? Probably less so. Some caregivers may even inadvertently perpetuate math anxiety—or the ideas that feed it—by repeating some of the associated stereotypes and misconceptions. (“Sorry, kiddo, grandpa’s not a math person.”)

Teachers can address this by sending materials home to support caregivers in engaging kids in math. Math games, for example, offer a fun, accessible opportunity for home practice—and they can even be played at bedtime, along with story time.

In general, teachers can also encourage caregivers to:

  • Use and point out their use of math in the real world wherever possible.
  • Help with math homework as much as possible.
  • Use intentional, positive phrasing about math—including about their own use of it.

Teachers have the ability to reduce math anxiety and help students unlearn the stereotypes associated with it by building a positive math ecosystem. They can build a positive community in their math classroom, set caregivers up for success in supporting students at home, and even shine a light on their own relationship to math.

To learn more, tune in to Season 5 of Math Teacher Lounge, dive into our math webinars, and read the rest of our math blog.

The importance of reading fluency in effective literacy instruction

There’s a difference between the ability to sound out words on a page and the ability to truly understand their meaning. That difference? Reading fluency. 

Fluency is one of the five foundational reading skills. (The other four, as you likely know, are  phonological awareness, phonics, vocabulary, and comprehension.) Fluency connects readers not just to words, but to emotions and expressions, characters and connotations. And it’s also where reading really starts to foster joy. 

In this post, we’ll explore what fluency is, why it matters, and how to successfully incorporate it into your literacy instruction. 

Defining fluency

The International Literacy Association defines reading fluency as “reasonably accurate reading, at an appropriate rate, with suitable expression, that leads to accurate and deep comprehension and motivation to read.” 

In other words, fluency is not just reading fast. And it goes beyond merely decoding words, to developing a deep understanding of what they’re trying to say. Fluency allows readers to connect ideas, recognize patterns, and infer meanings. 

“I call fluency the bridge to comprehension,” says Kent State literary education professor Tim Rasinski, discussing the topic on Amplify’s Science of Reading: The Podcast

Why fluency in reading matters

Rasinski is also director of Kent State’s award-winning reading clinic, and in his podcast episode, he describes encountering students as old as grade 5 who have decoding skills, but not fluency. “[These students] can sound words out, but if you were to hear them read orally, it would be slow, laborious reading in a monotone,” he says. According to Rasinski, these students aren’t getting “much joy and satisfaction, or even comprehension” from their reading. 

While oral expression in reading is not the ultimate goal, it is an indicator. “The way you read orally reflects the way you read silently,” Rasinski says. “Most of us would say when we read silently we ‘hear’ ourselves with our internal voice.” 

When readers develop fluency, they also develop: 

  • Comprehension. As decoding becomes more effortless, readers can focus on understanding meaning. Fluent readers recognize words automatically, allowing them to dedicate cognitive resources to complex sentence structures and connections among ideas. They grasp both main points and nuances. All told, they get what they’re reading. 
  • Confidence. Fluent readers are more likely to feel accomplished, proud, and motivated with regards to their reading abilities. And it’s a virtuous cycle: As their confidence grows, they’re more likely to engage in and enjoy reading—and continue to improve. 
  • Vocabulary. Fluency plays a significant role in vocabulary acquisition and language development. Fluent readers encounter a larger variety of words in context. This exposure enhances their language and communication skills across academic topics and life experiences. 
  • Academic success. Fluency helps students read to learn. As students advance through school, fluency becomes increasingly important for comprehension and analysis of more advanced and content-rich texts.
  • Emotional connection. Fluency enables readers to connect with the characters, emotions, experiences, and implications in a given text. That’s what makes reading immersive and enjoyable—in the moment and for a lifetime. 

The fluency journey: learning and assessment

The Science of Reading tells us that foundational reading skills must be taught explicitly and systematically, and fluency is no exception. Developing reading fluency is a gradual process that requires consistent practice and exposure to different types of texts. There are several stages and skills that support the development of reading fluency. 

  • Fluency starts with accuracy in decoding. As students practice and improve their phonics skills, they can accurately recognize and decode more and more words. This helps them move from laborious reading toward more efficient reading.
  • Speed comes as a result of accuracy. As students become more accurate in decoding, they can read words more quickly. Accuracy helps reduce the time it takes to identify and process each word, allowing for a smoother and faster reading experience.
  • Fluency practice helps with automaticity. And the more students develop both accuracy and speed, the more they develop automaticity. 

As you may know, there’s a tool called Oral Reading Fluency (ORF) that reading professionals use as a quick-read thermometer of sorts to measure reading speed and accuracy. It’s a simple assessment, measuring how many words a student reads correctly in an unpracticed passage. It’s considered one of the best indicators of a student’s reading progress. 

“It works! It has validity. It gives us good, useful information,” says researcher, educational consultant, and author Dr. Jan Hasbrouck on Science of Reading: The Podcast. That’s why it’s widely used—but, she adds, it’s also widely misunderstood. 

It is a reliable and helpful measure of fluency in terms of reading rate and accuracy, she says. At the same time, “It was unfortunate to put the label ‘fluency’ on it,” she says. “We reading teachers think of fluency as something much more multifaceted and complex that at minimum includes prosody, or expression. It is accuracy, rate, expression, metacognition, background knowledge—it’s all of this stuff that really experienced reading teachers think of as fluency.” 

Fluency best practices for literary instruction

Automaticity frees up cognitive space for comprehension, but fluency isn’t just about reading fast—it’s also about making meaning, which is where prosody comes in. 

Prosody refers to the rhythm, intonation, and expression used by someone reading aloud. 

But it’s not just for the natural performers in the classroom. Prosody can be influenced. How do we help students develop that external, and internal, prosodic voice? 

Through targeted read-aloud practice. By explicitly teaching students about prosody and providing systematic practice opportunities, educators can nurture fluency and comprehension simultaneously—a connection to overall reading success that is well-supported by evidence-based research. 

Some fluency strategies include: 

  • Reader’s Theater in the classroom: Students don’t have to be skilled actors to take on roles and read from scripts. Theater activities allow them to practice recognition and expressions of drama and emotion as they bring the lines to life. 
  • Assisted reading: When students read aloud simultaneously with a more fluent reader, they practice their own skills while also hearing someone else make meaning of the same text. This can also take the form of choral reading, i.e., students reading aloud as a group, focusing on using appropriate intonation and expression. Reading together allows them to practice prosody in a supportive and collaborative environment.
  • Consistent reinforcement and rewards: Rasinski works with students on snippets of text, first with prosody modeled by teachers, then practiced alone and together (repeated reading), then performed for each other or even parents or other adults who offer praise. This regular practice helps boost the confidence and motivation that assists students in developing fluency. “We want children to experience reading success every single day,” says Rasinski. 

More to explore

Accelerating learning in science with the Science of Reading

The Science of Reading: it’s not just for Language Arts.

As host Eric Cross and expert guest Susan Lambert discuss in this Science Connections webinar, the Science of Reading also provides a powerful foundation for science learning.

Here’s what they had to say about bringing evidence-based literacy strategies into the science classroom.

The role of literacy in science literacy

Strictly speaking, the Science of Reading refers to the vast body of research we now have—and put into practice—on the systematic, explicit, and cumulative instruction required for students to learn to read.

There is a misconception that when we’re talking about the Science of Reading, we’re just talking about reading.

—Susan Lambert, Amplify’s Chief Academic Officer for Elementary Humanities

In fact, we’re talking about comprehensive literacy, which encompasses all the essential—and interdependent—components of literacy, including background knowledge, vocabulary, and both comprehension and expression.

In other words, it’s the listening, speaking, reading, and writing that scientists do in the real world—and that students do to engage with and connect to science learning. As we discussed in this post, developing students’ literacy in science helps them develop scientific literacy. And science literacy allows students to become critical thinkers, problem solvers, and strategic questioners—in science and beyond.

Integrating science and literacy in the classroom

What do these literacy strategies look like in practice? Eric puts them to use regularly—and here’s how you can, too.

  1. Use phenomena to activate and gauge prior knowledge. The more you know, the better you comprehend text and the faster you learn—so exploring familiar observable events (frying eggs, seeing your breath on a cold day) can engage students and accelerate their comprehension from the jump.
  2. Provide multilingual resources. “Being intentional about providing access to resources in the languages our students speak is critical,” said Eric. “The data shows that the more proficient students become in their native language, the more proficient they become in a new one.”
  3. Get students writing (and speaking, and editing). Eric has his students document their experiments and observations in (digital) notebooks and online portfolios. They also share with and present to each other, he said, “so they’re seeing other students’ writing styles and syntax and what details they include, and they can go back and update their own.” And, since it’s a year-long process, “by the time they’re done, they have this beautiful website that showcases their work.” (Amplify Science’s Student Investigation Notebooks also fit the bill!)
  4. Work across subjects. The Common Core recommends that, by 4th grade, 50% of texts read should be non-fiction. That’s why Eric coordinates with ELA teachers to read one text about metabolism, for example, each examining it through different lenses. “When you’re able to work together with another content teacher, it’s like magic,” he said. (And in elementary school, you’re the other content teacher!)
  5. Run science seminars. Students use evidence to explain their thinking. “For students who need extra support, you can have pre-written sentence frames so that they’re able to participate,” Eric said. “Even when they’re listening to other students speaking, that’s helping them develop language skills. You watch them be able to listen, speak, engage in debate, and disagree without being disagreeable, which we know as adults is a valuable skill.”

For more of Eric’s strategies, watch the webinar: Science Connections: Accelerating Learning in Science with the Science of Reading.

Even more to explore

Webinars:

Curriculum: Amplify Science

Amplify blog:

Amplify’s professional services for educators

We work together with educators to create meaningful learning experiences in schools—whether it’s designing a customized professional development plan, working alongside teachers in the classroom, or providing engaging and effective high-impact tutoring services to help students thrive.

Amplify’s professional development

When educators grow, students grow. Our goal is to support your team’s professional development with training designed to nurture, develop, and refine instructional practices, enhancing student achievement. We offer flexible PD training and coaching, both in-person and online, with a range of support to fit districts’ needs and educators’ busy schedules.

Explore Amplify’s Effective PD solutions

Two women sit at a table working on laptops, collaborating and reviewing documents, with icons on the left representing ideas, writing, computers, and achievement.
An adult and a child wearing headphones smiling and high-fiving each other at a desk with a laptop.

Amplify’s high-impact tutoring

Every child deserves to be a confident reader and mathematical thinker. Amplify Tutoring, grounded in evidence-based practices and high-quality instructional materials, delivers meaningful gains for students and data-driven insights for educators. Our flexible high-impact tutoring models for literacy and math help schools meet students’ unique needs.

EXPLORE AMPLIFY’S HIGH-IMPACT TUTORING SOLUTIONS

When you grow, your students grow.

“From the start, and in every encounter since I have been overwhelmed by the professionalism and customer focus all Amplify employees have demonstrated. Not only are the curriculum products extraordinary but they are backed by extraordinary people.”

Teacher, Montana

When you grow, your students grow.

“[Amplify] deserves a medal for being one of the few companies that actually explains enrollment and access processes clearly, while providing continued support. Thanks for being organized and caring towards your customers!”

Technology teaching and learning support specialist, Ohio

When you grow, your students grow.

“[Our] facilitator did a fabulous job of highlighting key look-fors, as well as sharing personal experiences with implementation, which are so useful for a teacher to hear.”

Teacher, Louisiana

When you grow, your students grow.

“Amplify Tutoring has been critical in helping several nonreaders not only become readers, but become avid readers…
The turnaround in confidence and excitement for learning has been amazing! The Amplify Tutoring Team provides continuous support system which checks in at all levels to help make the student experience a success.”


District program director, Alaska

Leading education into the future, together

Collaborative partnerships to strengthen educator success

Partnering with leading organizations, Amplify offers robust Amplify Desmos Math professional development that complements and enriches your learning journey and ensures access to comprehensive educational resources. Together, we align district and school leader support, enhance instructional practices, and boost student engagement to drive enduring outcomes.

Partner organizations

ANet logo with a large yellow "A" emitting rays, followed by the word "Net" in gray text on a white background—symbolizing student support services that enhance the learning experience.

Leverage Amplify’s curricular expertise and ANet’s strength in assessment alignment and strategic system support to achieve powerful, consistent adoption and effective, long-term implementation.

Explore this partnership

Learn more about ANet

The Teaching Lab logo features a circular black and blue graphic with the words "Teaching Lab" in black and blue text, reflecting a commitment to student success and an enhanced learning experience.

Accelerate results by pairing Amplify’s deep expertise in Amplify Desmos Math and program-aligned professional learning with Teaching Lab’s proven Cycles of Inquiry and direct-to-teacher coaching models to ensure uniformity and harmony in the adoption, rollout, and long-term implementation of HQIM.

Explore this partnership

Learn more about Teaching Lab

The image shows the TNTP logo with a stylized blue flame design next to the letters "TNTP" in bold, dark blue font on a white background, symbolizing a commitment to student success.

Harness the power of Amplify’s deep expertise in Amplify Desmos Math alongside TNTP’s proven coaching models for system and school leaders to drive sustainable, impactful, and coherent HQIM implementation.

Explore this partnership

Learn more about TNTP

The logo features the word "UnboundEd" in a serif font on a white background, with "Ed" in bold for emphasis, reflecting a commitment to student success and an empowering learning experience.

Experience transformational results when Amplify’s deep expertise in Amplify Desmos Math joins with UnboundEd’s proven strengths in change management, instructional transformation, and leadership coaching to deliver sustainable instructional practices and lasting impact.

Explore this partnership

Learn more about UnboundEd

Utah: Get Boost Reading with EISP Grant Funding

Boost Reading is available through the Early Intervention Software Program (EISP) grant funded by the Utah State Board of Education. Boost Reading helps K–5 educators meet the needs of every reader with personalized literacy instruction based in the Science of Reading.

Amplify CKLA students who start the year below-benchmark are 34% more likely to meet the benchmark by the end of the year with Boost Reading, compared to students who did not use Boost Reading.

A collage displaying a colorful bird, a young girl using a laptop with a butterfly sticker, and a scene with an adult and child. Text reads, "Built on the Science of Reading.

What is boost reading?

Program at a glance

Boost Reading is a research-based, standards aligned program that supports students along an adaptive path of increasingly complicated texts and literary concepts. Students find these games embedded in an engaging narrative world that grows as they do, whether they are learning foundational skills or mastering close reading with our solution for reading comprehension.

Colorful educational timeline with four phases: Foundations, Learning to Read, Reading to Learn, and Reading to Understand Deeply, each with related illustrations and text.
  • Benchmark and progress-monitoring assessments to give you insight into student growth and areas for improvement
  • Adaptive technology that provides engaging learning experiences unique to each reader’s needs
  • Growth and proficiency reports for individual students and the whole class
  • Targeted lesson plans and a teacher guide aligned to the Science of Reading

How does Boost Reading work with Amplify CKLA?

Boost Reading is an adaptive K–5 personalized learning program, grounded in the Science of Reading, that directly aligns to the Amplify CKLA Skills Strand. The program provides explicit and systematic practice in language, decoding, vocabulary, and comprehension, while also reinforcing knowledge topics.

  • Boost Reading and Amplify CKLA share the same pedagogy and sequencing of foundational skills. This powerful alignment strengthens and reinforces your core instruction by targeting critical skill gaps.
    • After the placement assessment, students begin with phonological awareness and then more specifically phonemic awareness.
    • Students move to decoding and encoding words that they just learned.
    • Student then engage in reading rich texts to practice their skills.
    • And finally, students receive explicit personalized instruction in the comprehension process.
  • Boost Reading builds on the skills students learn in Amplify CKLAreinforcing instruction based on student need and deepening understanding.
  • Advanced reporting in Boost Reading’s easy-to-use Teacher Dashboard allows you to see classroom-level insights along with individual areas of strengths and trouble spots.
  • Boost Reading is adaptive and student-led. It fits into any classroom model, allowing for full independent practice with minimal interruptions while you work with other students.

Our approach

Proven efficacy

In just 30 minutes of use per week, Boost Reading is proven to improve results on all DIBELS 8th Edition measures and increase the number of students on track for reading success in grades K–5, meeting ESSA’s Moderate (Tier 2) Evidence criteria. Nearly 65% of Boost Reading kindergarten students who started the year “at-risk” ended the year at benchmark or above. Dive into our recent efficacy study on the Boost Reading research page.

Targeted, systematic reading practice for all

The highly adaptive technology creates individual skill maps for each student, whether they’re reading below, at, or above grade level, providing simultaneous remediation and advancement in different skill domains. The program is an effective component of your classroom’s remediation and intervention solutions, with explicit instruction for all students, including those with dyslexia or in special education classes.

Program resources

How to bring Boost Reading to your district with EISP grant funding

Bring Boost Reading to Your District

Step 1: Contact Bob McCarty (rmmcarty@amplify.com) to request a quote. Licensing options are below. 

Option 1: Site licenses are available for school enrollments of 1-250 or 251-500.  

Option 2: Individual student licenses are also available if you are looking to utilize Boost Reading with a select group of students. 

Step 2: Send your Purchase Order and Quote to incomingpo@amplify.com and rmccarty@amplify.com. Amplify will return an invoice at your earliest request once the purchase is complete. 

Step 3: Please download this Student Data Privacy Agreement, UT-NDPA-V1, with additional terms specific to Amplify products purchased with EISP funds. Return an executed copy to Bob McCarty, and retain a copy for your records. If you have any questions please reach out to privacy@amplify.com.

Step 4: Submit your EISP (Early Interactive Software Provider) K-3 Early Literacy Software application and other required documentation to the USBE. Local grant administrators should have received notice that the applications are available in Utah Grants. Include your Amplify invoice and an executed copy of the DPA with your reimbursement request.

Request more information

If you are interested in learning more about bringing Boost Reading to your classrooms, please contact:

Bob McCarty

Senior Account Executive, Amplify

rmccarty@amplify.com

435-655-1731

Leslie Adams

Sales Associate

leadams@amplify.com

435-590-8566

We are the program for Florida’s middle school students and teachers.

We built Amplify ELA to help you make sure the standards are covered, the skills are taught, the test is prepped for, and your students are scaffolded and encouraged. What’s more, everything is done in the background. That way, you can spend your time bringing the text to life, making the classroom hum, and letting each student know you are paying attention to their growth.

Astronaut in a space suit salutes while holding an American flag, standing amidst what appears to be splashes of liquid.

Program overview

Amplify ELA is a hybrid curriculum designed specifically for grades 6–8. The heart of every lesson is the text. Each grade includes six units centered on literary or informational texts, delivered in several forms of media. Your classroom will also benefit from two or three immersive learning experiences called Quests and a dedicated Story Writing unit.

A woman assists another woman wearing a red headscarf as they look at a laptop.
  • Full standards coverage: Standards are clearly labeled in each lesson overview, so teachers can save time planning and get back to what they love: teaching.
  • Five levels of differentiation: Based on each student’s needs and the performance measures within Amplify ELA reports, a teacher can choose the differentiation level that’s the right fit for everyone.
  • Embedded assessments: Teachers benefit from uninterrupted instructional time and a continuously updated picture of each student’s progress with key skills and standards.
  • Powerful feedback tools: Comprehensive tools help teachers maximize both the quantity and quality of feedback.
  • Robust reporting: Our reporting app offers information on student progress to help inform instructional decisions.
  • All in one place: Embedded teacher support, differentiation tools, student data, text and other curriculum features—they’re all right there.

Materials

Discover print and digital materials included in the program.

Una computadora portátil que muestra una página web con texto y una imagen de la portada de una publicación con varias ilustraciones artísticas. Un libro de texto estudiantil impreso titulado "Amplify ELA" está al lado de la computadora portátil.

Student edition
Available digitally and in print, the student materials guide middle schoolers through complex texts and writing by:

  • engaging students with high-quality narrative and informational texts, providing videos, audio supports, and digital experiences that capture their attention, and
  • keeping all of their writing in one place with the personal writing journal.

Una colorida portada de libro con la etiqueta "Amplify ELA" está al lado de una computadora portátil abierta que muestra una página web titulada "Brain Science" que muestra diferentes artículos científicos.

Teacher edition
Available digitally and in print, the Teacher edition contains all of the information teachers need to facilitate classroom instruction, including:

  • detailed lesson plans
  • video teacher tips embedded in the lesson
  • LAF standards alignment and exit tickets
  • real-time differentiation strategies
  • robust reporting
Imagen de una pantalla de computadora que muestra un curso educativo en línea titulado "¿Quién mató a Edgar Allan Poe?" con pantallas de lecciones diseñadas con un tema de detectives en blanco y negro.

Interactive Quests
Fun, week-long explorations where students practice analytical reading, writing, speaking, and listening skills, all while building a strong classroom community.

La pantalla de una computadora portátil muestra la Biblioteca Amplify con pestañas para géneros como Aventura y Fantasía, que muestran libros como "El Mago de Oz" y "Frankenstein" en un diseño de cuadrícula.

Digital library for independent reading
Amplify Library: Our expansive digital library includes more than 650 fiction and nonfiction, classic, and contemporary titles.

Resources

Learn more about Amplify ELA and how we address the unique needs of middle school students.

Program sample guide

Table of Contents

Four Principles of True Engagement in Middle School ELA

Empower students to become critical thinkers webinar recording

Provide opportunities and supports for all students to work “up” webinar recording

Support feedback systems that develop strengths webinar recording

Experts & presenters

Una mujer de mediana edad con cabello rubio sonriendo a la cámara, vestida con una camisa negra y aretes de aro sobre un fondo blanco liso.

Deb Sabin

Chief Academic Officer, Amplify ELA

Deb Sabin leads Amplify’s curriculum development teams for ELA. Previously she was Director of Instruction and Training for The Writer’s Express. She’s been an ELA teacher in a variety of classrooms from alternative high schools to elite prep schools and international dual language programs.

Un hombre con cabello castaño corto sonríe a la cámara. Lleva una camisa azul con botones y una chaqueta oscura. El fondo es completamente blanco.

Jeff Dannemiller

Product Specialists, Amplify

Jeff works with educators across the country, helping them get the most out of their middle school students with reading, writing, and developing all the other skills necessary for high school and beyond.

Person smiling in front of a colorful mural with yellow and red geometric shapes.

Dr. William McBride

National Education Consultant

Dr. Bill McBride is a well-known international speaker and educator. He has trained middle, high, and adult education teachers for over 30 years in literacy and student engagement. Some of his books include Building Literacy in Social Studies, If They Can Argue Well, They Can Write Well, Entertaining an Elephant, and two successful reading programs for secondary struggling readers. He has also been a contributing author on a number of state-adopted literature series for grades 6 through 12.

Contacts

A woman with blonde hair wearing a white blouse with floral embroidery, posing against a plain white background.

Ronda Baggett
rbaggett@amplify.com
(347) 452-6988

A woman with medium-length blonde hair and hoop earrings, wearing a white shirt and a beaded necklace, is looking directly at the camera against a plain background.

Melinda Lyon
mlyon@amplify.com
(704) 813-7757

A person with short gray hair smiles at the camera, wearing a green collared shirt against a plain background.

Jeff Rutter
jrutter@amplify.com
(727) 512-8440