Other publishers say they have “Desmos.” What’s the difference between what Amplify has and what they have?
If you’ve been in the math world for a while, you know the name Desmos. It’s synonymous with free dynamic math tools.
And lately, you’ve probably also been hearing about Amplify and Desmos together. But other publishers also say they have Desmos, so what’s the deal?
Let’s clear it up.
The most important thing to know is that, back in 2022, the original Desmos split into two separate parts. Think of them like a calculators and other tools part and a classroom activities and curriculum part.
The tools part: Desmos Studio
This is the Desmos you first fell in love with.
What it is: Desmos Studio is the name of the company that builds and maintains the powerful, free Desmos calculators. This is an independent Public Benefit Corporation, and can be found at www.desmos.com. That team builds and maintains a collection of free math tools:
What it’s for: This is your go-to for exploration, demonstrations, and “What if I change this?” moments. It’s the blank canvas you use on your smartboard or the tool your students use for homework.
The bottom line: The calculators are run by an independent company called Desmos Studio PBC. You can find their tools for free at their website, desmos.com; on state tests; and in curriculum programs (including ours).
The lessons: Amplify Classroom & Amplify Desmos Math
What it is: In 2023, Amplify acquired the Desmos instructional platform (then called Desmos Classroom, now called Amplify Classroom) as well as their math curriculum for grades 6–8 and the teams that built those resources. We had already been working on our own math curriculum, decided to combine forces with the Desmos curriculum team, and created Amplify Desmos Math, now available for grades K–12.
When other publishers may talk about having “Desmos,” what they mean is they license the calculators and Geometry tool from Desmos Studio.
What it’s for: Amplify has these tools, too, but we also have the Activity Builder, which integrates these tools much more deeply than is possible with other Desmos Studio partnerships. We take this powerful Desmos technology and layer instruction, student collaboration, and dynamic teaching tools on top, creating classrooms that buzz with excitement and learning.
What’s available for free:
- The “Desmos activities” platform (you might know it from teacher.desmos.com), now Amplify Classroom. This is where you can find hundreds of free lessons and activities. You can also use the Activity Builder tool to create your own custom activities from scratch.
- The beloved, pre-built “Activity Builder” activities like “Marbleslides” and more are still available for free on Amplify Classroom.
The bottom line: Educators can still use the vast library of free activities and build their own on Amplify Classroom. This is not changing.
The core curriculum: Amplify Desmos Math
This is the new, comprehensive curriculum available to districts and schools.
What it is: This is a full core math curriculum for grades K–12 that Amplify has built in collaboration with the Desmos curriculum team that joined us a few years ago. It uses the Desmos instructional philosophy and tools as its backbone, but it’s much more than a collection of activities.
What it’s for: This program is designed to be your primary, day-to-day curriculum. It includes a complete, standards-aligned scope and sequence, print materials, digital lessons (with activities enhanced and aligned to standards), assessments, intervention resources, and personalized practice.
The bottom line: If you want a complete curriculum in which every lesson is built on polished Desmos-style activities, you want Amplify Desmos Math K–12. This core curriculum is offered exclusively by Amplify.
Quick-reference chart
| What is it? | Where to find it? | Cost | |
| Desmos Studio Tools | Powerful math tools and calculators (graphing, scientific, etc.) for graphing, calculations, and geometry visualizations. | Access via desmos.com or embedded in partner products | Free for individual use |
| Amplify Classroom | A teaching and learning platform that couples Desmos Studio tools with instruction and collaboration tools – Rich activities and lessons that develop understanding with Responsive Feedback™ – Collaboration and facilitation tools designed for the classroom – Student ideas used to build new problems and scenarios Browse free activities and lessons or build your own with Activity Builder. | Only available from Amplify at amplify.com/classroom (previously Desmos Classroom) | Free |
| Amplify Desmos Math | A comprehensive K–12 math curriculum built on the Amplify Classroom platform – Ready-to-teach print and digital curriculum built on the Amplify Classroom platform – Comprehensive coverage of all standards without the searching. – Additional support for your classroom, including assessment, differentiation, practice, professional development, and more. | Try lessons for free on Amplify Classroom Contact us for more information on purchasing for your district | With a paid subscription |
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!
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.
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.
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.”
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.
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.
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.
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
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S5-04. Coaching tips for managing math anxiety in teachers
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!
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):
- 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):
- 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.
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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.
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!
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Winter Wrap-Up 02: Mathematizing Children’s Literature
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.
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.
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
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!
You might also like:
Thank you
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.
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
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.
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 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.
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.
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.
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 (Middle School Physical Science) Evaluation Form
Science (Middle School Life Science) Evaluation Form
Science Evaluation Form Middle School Earth and Space Science
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Metabolism
Domain: Life Science
Unit type: Core
Student role: Medical researchers
Phenomenon: Elisa, a young patient, feels tired all the time.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Magnetic Fields
Domain: Physical Science
Unit type: Core
Student role: Physicists
Phenomenon: During a test launch, a spacecraft traveled much faster than expected.
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.
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.
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.
Tutorial videos
Check out these videos for support on how to navigate the Amplify Science curriculum website, teacher’s guide, materials kits, and more!
Resources
Welcome to Earth and Space Science
Amplify Science California is so effective you can cover 100% of the NGSS in fewer lessons than other programs.
Plus, you can breathe a sigh of relief knowing we give you enough materials to support 200 students. In fact, our material kits:
- Support small groups of 4-5 students.
- Make organization and finding materials easy.
- Last longer with only one of the nine kits requiring refills.
What students learn
Lauren Learner loves science. Watch this video to find out what she learns in sixth grade. >
When you’re ready:
- Find a summary of each unit below including each unit’s student role and anchor phenomenon.
- Click on the orange “See how the unit works” link to download a helpful Unit Guide. These guides make great companions to busy reviewers looking for a big-picture understanding of how each unit works.
Unit 1
Geology on Mars
Student role: Planetary geologists
Phenomenon: Analyzing data about landforms on Mars can provide evidence that Mars may have once been habitable.
Unit 2
Plate Motion
Student role: Geologists
Phenomenon: Mesosaurus fossils have been found on continents separated by thousands of kilometers of ocean.
Unit 3
Plate Motion Engineering Internship
Student role: Mechanical engineering interns
Phenomenon: Patterns in earthquake data can be used to design an effective tsunami warning system.
Unit 4
Rock Transformations
Student role: Geologists
Phenomenon: Rock samples from different U.S. regions look different, but have similar mineral compositions.
Unit 5
Earth, Moon, and Sun
Student role: Astronomers
Phenomenon: Pictures of specific features on the Moon can only be taken by an astrophotographer at certain times.
Unit 6
Ocean, Atmosphere, and Climate
Student role: Climatologists
Phenomenon: During El Niño years, the air temperature in Christchurch, New Zealand is cooler than usual.
Unit 7
Weather Patterns
Student role: Forensic meteorologists
Phenomenon: The strong storms in Galetown didn’t just begin. They have become more and more severe over the years.
Unit 8
Earth’s Changing Climate
Student role: Climatologists
Phenomenon: The ice on Earth’s surface is melting.
Unit 9
Earth’s Changing Climate Engineering Internship
Student role: Civil engineers
Phenomenon: Designing rooftops with different modifications can reduce a city’s impact on climate change.
How teachers teach
Tom Teacher feels confident delivering 3-D instruction with our resources by his side. Watch this video to learn more. >
When you’re ready:
- Scroll down and take a closer look at your classroom resources.
- Click on the orange links below each component to see grade-specific samples.
Classroom Slides
These customizable PowerPoints are available for every lesson of the program and make delivering instruction a snap with visual prompts, colorful activity instructions, investigation set-up videos and animations, and suggested teacher talk in the notes section of each slide.
Teacher’s Reference Guide
Available digitally and in print, our unit-specific reference guides are chock full of helpful resources, including scientific background knowledge, planning information and resources, color-coded 3-D Statements, detailed lesson plans, tips for delivering instruction, and differentiation strategies.
Login to platform below to access
Materials Kits
Our kits include enough non-consumable materials to support 200 student uses. In other words, you have enough materials to support all five periods and small groups of 4-5 students each. Plus, our unit-specific kits mean you just grab the tub you need and then put it all back with ease.
Simulations and Practice Tools
Our digital Simulations and Practice Tools are powerful resources for exploration, data collection, and student collaboration. They allow students the ability to explore scientific concepts that might otherwise be invisible or impossible to see with the naked eye.
Consumable Notebooks
Available for every unit, our Student Investigation Notebooks contain instructions for activities and space for students to record data and observations, reflect on ideas from texts and investigations, and construct explanations and arguments.
Student Edition Hardcover
This durable Student Edition is grade-level specific and contains all of the articles that students refer to throughout the year. Districts may choose to pair these traditional student texts with our digital student experience or new 2-volume consumable notebook set.
Coming Soon
Unlike other publishers, we don’t make you wait until your next adoption to get the latest and greatest from Amplify. We’re always launching new and exciting features. What’s more, we’ll push them out to you even after you adopt us!
Navigating the program
Watch this video showing you how to navigate our digital platform. Then following the instructions below. >
- 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 a Launch Unit
Launch units are the first units taught in each year of the program. The goal of a Launch unit is to introduce students to norms, routines, and practices that will be built on throughout the year.
Navigating an Engineering Internship
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 a Core Unit
Core units introduce a real-world problem and support students as they figure out the anchoring phenomenon and gain an understanding of the unit’s DCIs, SEPs, and CCCs.
Navigating Classwork and Reporting
Classwork is our new online grading tool that gives you quick and easy access to unreviewed work, student portfolios of work, and automatically generated differentiation groups.
Welcome to Amplify Desmos Math Cherokee CSD!
Amplify customer support hub
Quickly find support for every step of your journey, whether you’re new to our programs or a long-time partner. Our support hub offers personalized, responsive assistance to drive strong implementation and boost student outcomes.
Round-the-clock help resources
Access comprehensive support anytime, anywhere with our 24/7 Help Center. Find articles, answers, and quick links with ease in this collection of resources.
For system status updates, click on Amplify System Status.
Need immediate assistance?
Whether you have a free account or your district has purchased an Amplify program, we’re here to help.
Request Support.
Free account users and customers can open a case for assistance.
Full program customer support
Phone support
Speak directly with our knowledgeable agents.
Call: +1 (800) 823-1969
Hours:
Monday through Friday
7 a.m. — 7 p.m. ET
Live chat
Connect instantly inside your program(s).
Log in at learning.amplify.com and click the chat button in the bottom right corner.
Continuous support along your journey
Personalized assistance
Our team helps with purchasing, order fulfillment, enrollment, and more.
From purchase to implementation
Collaborate with our sales team to explore programs tailored to your unique needs.
Smooth ordering and payment
Enjoy seamless purchasing with our dedicated team. For quick help, visit our payment support site or contact your account executive.
Ongoing success and growth
After processing your purchase, our specialized teams guide you through onboarding, professional development, materials delivery, digital setup, and implementation launch.
Discover the tools to transform teaching.
Continued learning and growth
Learn with us:
Join our free online webinars and events to explore thought leadership and gain insights. Stay informed about the latest in education.
Elevate your practice:
Explore paid professional development to enhance your skills and integrate our programs effectively. Our resources are tailored to support your success.
Your voice matters!
Join our lively Facebook communities to connect with fellow educators, share insights, and be part of a network advocating for student success and innovative education.
Amplify customer support hub
Quickly find support for every step of your journey, whether you’re new to our programs or a long-time partner. Our support hub offers personalized, responsive assistance to drive strong implementation and boost student outcomes.
Round-the-clock help resources
Access comprehensive support anytime, anywhere with our 24/7 Help Center. Find articles, answers, and quick links with ease in this collection of resources.
For system status updates, click on Amplify System Status.
Need immediate assistance?
Whether you have a free account or your district has purchased an Amplify program, we’re here to help.
Request Support.
Free account users and customers can open a case for assistance.
Full program customer support
Phone support
Speak directly with our knowledgeable agents.
Call: +1 (800) 823-1969
Hours:
Monday through Friday
7 a.m. — 7 p.m. ET
Live chat
Connect instantly inside your program(s).
Log in at learning.amplify.com and click the chat button in the bottom right corner.
Continuous support along your journey
Personalized assistance
Our team helps with purchasing, order fulfillment, enrollment, and more.
From purchase to implementation
Collaborate with our sales team to explore programs tailored to your unique needs.
Smooth ordering and payment
Enjoy seamless purchasing with our dedicated team. For quick help, visit our payment support site or contact your account executive.
Ongoing success and growth
After processing your purchase, our specialized teams guide you through onboarding, professional development, materials delivery, digital setup, and implementation launch.
Discover the tools to transform teaching.
Continued learning and growth
Learn with us:
Join our free online webinars and events to explore thought leadership and gain insights. Stay informed about the latest in education.
Elevate your practice:
Explore paid professional development to enhance your skills and integrate our programs effectively. Our resources are tailored to support your success.
Your voice matters!
Join our lively Facebook communities to connect with fellow educators, share insights, and be part of a network advocating for student success and innovative education.
4 ways to weather educational change
The landscape of education is constantly shifting. That’s always been true, because the world is constantly changing. But at no time in recent memory has the landscape of education been forced to change in as many ways as it has over the past few years.
How can teachers navigate the seismic changes in the education system in their day-to-day lives?
In this recent episode of Science Connections: The Podcast, host Eric Cross talks about managing educational change with veteran educator and former Miami-Dade County Public Schools (M-DCPS) Middle School Science Teacher of the Year Marilyn Dieppa.
Below, we’ve outlined four tips for weathering shifts. The bottom line? It’s important for teachers to be able to change with the times, while remaining a steady, solid presence for students.
1. Embrace change—it’s good for kids, too.
“I always change my labs. I don’t like to do the same thing over and over again,” says Dieppa. And when she tries something new, she tells her students she’s experimenting. (After all, it’s science!)
“They’re afraid of trying something new and failing,” Dieppa says—so she tries to model taking on the unknown, learning, and adjusting as needed. This is part of cultivating a growth mindset for kids. “It’s for them not to be fearful. That gives kids a foundation they need.”
2. Have an open-door policy.
The pandemic has exacerbated challenges in kids’ lives that can make it tough for them to learn. Some even say we’re in a youth mental health crisis. Now more than ever, it’s important that “you become more than just a science teacher,” says Cross. “You’re a mentor. You’re an encourager. Sometimes you’re a counselor.”
It’s impossible to be everything to every student, but it’s important to let them know you see them.
“I always say, I’m not there to really be your friend, but I’m there to help you,’” says Dieppa. “And you gotta tell ’em, you know, ‘if you need to talk, come talk to me’. Because so much of what we’re doing is like life coaching in addition, and that connects to their success in the classroom.”
3. Measure wins in lots of ways.
What keeps Dieppa going? “Whether [students] have struggled all year and they’ve had that one piece of success, or they come back and tell you they didn’t realize what they got out of middle school science until they got to high school, those are my moments of success.”
4. Remember—you’re still learning, too.
Yes, you’re the teacher, but “you don’t have to be the expert in everything,” says Cross. “Teachers tend to be more risk-taking and innovative when they’re willing to say, ‘I don’t have to know everything in order to do something.’”
Whenever it feels like you can’t do something or don’t know something, remember: You can’t do it yet. You don’t know it yet. Growth mindset phrases for students apply to your growth, too.
Listen to the whole podcast episode here and subscribe to Science Connections: The Podcast here.
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.
Amplify Desmos Math for Washoe County
Welcome to Grade 3
Amplify Science California is so effective you can cover 100% of the NGSS in half the time of other programs.
You can breathe a sigh of relief knowing all you need is:
- 88 days per year
- 2-3 lessons per week
- 45 minutes per lesson
What students learn
Lauren Learner loves science. Watch this video to find out what she learns in third grade. >
When you’re ready:
- Find a summary of each unit below including each unit’s student role and anchor phenomenon.
- Click on the orange “See how the unit works” link to download a helpful Unit Guide. These guides make great companions to busy reviewers looking for a big-picture understanding of how each unit works.
Unit 1
Balancing Forces
Student role: Engineers
Phenomenon: The fictional town of Faraday is getting a new train. Unlike typical trains, this one floats, which is causing some concern among the town’s citizens.
Unit 2
Inheritance and Traits
Student role: Wildlife biologists
Phenomenon: An adopted wolf in Graystone National Park has some traits in common with one wolf pack in the park and other traits in common with a different pack.
Unit 3
Environments and Survival
Student role: Biomimicry engineers
Phenomenon: Over 10 years, a population of grove snails has changed. Populations with yellow shells have decreased, while those with banded shells have increased.
Unit 4
Weather and Climate
Student role: Meteorologists
Phenomenon: Three different islands, each a contender for becoming an orangutan reserve, experience different weather patterns.
How teachers teach
Tom Teacher feels confident delivering 3-D instruction with our resources by his side. Watch this video to learn more. >
When you’re ready:
- Scroll down and take a closer look at your classroom resources.
- Click on the orange links below each component to see grade-specific samples.
Classroom Slides
These customizable PowerPoints are available for every lesson of the program and make delivering instruction a snap with visual prompts, colorful activity instructions, investigation set-up videos and animations, and suggested teacher talk in the notes section of each slide.
Teacher’s Reference Guide
Available digitally and in print, our unit-specific reference guides are chock full of helpful resources, including scientific background knowledge, planning information and resources, color-coded 3-D Statements, detailed lesson plans, tips for delivering instruction, and differentiation strategies.
Login to platform below to access
Materials Kits
Our kits include enough non-consumable materials to support a class of 36 students and enough consumable items to support 72 students. In other words, each kit can last two years! Plus, our unit-specific kits mean you just grab the tub you need and then put it all back with ease.
Student Books
Our award-winning Student Books include content-rich nonfiction and informational texts designed to introduce concepts and also deepen understanding. Books are read to, with, and by students with ample scaffolding and support provided by the teacher in whole-class, small-groups, and student pairs.
Practice Tools
Our digital Practice Tools feature easy-to-use drag-and-drop and data-entry activities that support the practice of important SEPs like sorting, modeling, or visualizing information. Practice Tools can be used as a whole group, in small groups, or with a partner.
Consumable Notebooks
Available for every unit, our Student Investigation Notebooks contain instructions for activities and space for students to record data and observations, reflect on ideas from texts and investigations, and construct explanations and arguments.
Mystery Science
Our exclusive partnership with Mystery Science means you get our NGSS core curriculum plus two years of free access to Mystery Doug and his extensive library of captivating videos that deepen students’ understanding of each unit’s phenomenon.
Coming Soon
Unlike other publishers, we don’t make you wait until your next adoption to get the latest and greatest from Amplify. We’re always launching new and exciting features. What’s more, we’ll push them out to you even after you adopt us!
Navigating the program
Watch this video showing you how to navigate our digital platform. Then following the instructions below. >
- 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.
Welcome to Grade 2
Amplify Science California is so effective you can cover 100% of the NGSS in half the time of other programs.
You can breathe a sigh of relief knowing all you need is:
- 66 days per year
- 2 lessons per week
- 45 minutes per lesson
What students learn
Lauren Learner loves science. Watch this video to find out what she learns in second grade. >
When you’re ready:
- Find a summary of each unit below including each unit’s student role and anchor phenomenon.
- Click on the orange “See how the unit works” link to download a helpful Unit Guide. These guides make great companions to busy reviewers looking for a big-picture understanding of how each unit works.
Unit 1
Plant and Animal Relationships
Student role: Plant scientists
Phenomenon: No new chalta trees are growing in the fictional Bengal Tiger Reserve in India.
Unit 2
Properties of Materials
Student role: Glue engineers
Phenomenon: Different glue recipes result in glues that have different properties.
Unit 3
Changing Landforms
Student role: Geologists
Phenomenon: The cliff on which Oceanside Recreation Center is situated appears to be receding.
How teachers teach
Tom Teacher feels confident delivering 3-D instruction with our resources by his side. Watch this video to learn more. >
When you’re ready:
- Scroll down and take a closer look at your classroom resources.
- Click on the orange links below each component to see grade-specific samples.
Classroom Slides
These customizable PowerPoints are available for every lesson of the program and make delivering instruction a snap with visual prompts, colorful activity instructions, investigation set-up videos and animations, and suggested teacher talk in the notes section of each slide.
Teacher’s Reference Guide
Available digitally and in print, our unit-specific reference guides are chock full of helpful resources, including scientific background knowledge, planning information and resources, color-coded 3-D Statements, detailed lesson plans, tips for delivering instruction, and differentiation strategies.
Login to platform below to access
Materials Kits
Our kits include enough non-consumable materials to support a class of 36 students and enough consumable items to support 72 students. In other words, each kit can last two years! Plus, our unit-specific kits mean you just grab the tub you need and then put it all back with ease.
Student Books
Our award-winning Student Books include content-rich nonfiction and informational texts designed to introduce concepts and also deepen understanding. Books are read to, with, and by students with ample scaffolding and support provided by the teacher in whole-class, small-groups, and student pairs.
Practice Tools
Our digital Practice Tools feature easy-to-use drag-and-drop and data-entry activities that support the practice of important SEPs like sorting, modeling, or visualizing information. Practice Tools can be used as a whole group, in small groups, or with a partner.
Consumable Notebooks
Available for every unit, our Student Investigation Notebooks contain instructions for activities and space for students to record data and observations, reflect on ideas from texts and investigations, and construct explanations and arguments.
Mystery Science
Our exclusive partnership with Mystery Science means you get our NGSS core curriculum plus two years of free access to Mystery Doug and his extensive library of captivating videos that deepen students’ understanding of each unit’s phenomenon.
Coming Soon
Unlike other publishers, we don’t make you wait until your next adoption to get the latest and greatest from Amplify. We’re always launching new and exciting features. What’s more, we’ll push them out to you even after you adopt us!
Navigating the program
Watch this video showing you how to navigate our digital platform. Then following the instructions below. >
- 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.
S4 – 01. Joyful math teaching with Kanchan Kant
This season on the Math Teacher Lounge podcast, we follow the theme “joyful math” and uncover its meaning.
In this episode, Kanchan Kant joins Bethany Lockhart Johnson and Dan Meyer to discuss the key, early investment she makes at the start of the school year to ensure her math teaching will be joyful for herself and for her students for the rest of the year.
Explore more from Math Teacher Lounge by visiting our main page.
Dan Meyer (00:00):
Okay, we are recording. Hey folks. Welcome back to Math Teacher Lounge. (laugh)
Bethany Lockhart Johnson (00:06):
Hardly off to a rocking start.
Dan Meyer (00:06):
Yeah. Yeah. <laugh> Did you like my energy there? Hey folks. Welcome back to Math Teacher Lounge. It’s a new season with your host Dan Meyer. And…
Bethany Lockhart Johnson (00:15):
I’m Bethany, Lockhart Johnson. How’s your summer Dan?
Dan Meyer (00:22):
Summer for me feels really hectic as we prepare, here at Amplify, for the new school year, and everyone’s starting these new math programs. So I’ve been feeling quite amped up, like usual in the summer. But also, my kids started big kid school. So I’ve been seeing the educational system from the role of a parent and all the anxieties and I worry, will I be my kids’ teacher’s most annoying parent <laugh> … So what kind of math curriculum you using? Oh, have you heard of core counting? Can I lead a math center? What’s this worksheet about? I’m really worried my kids are just overall gonna hate my vibe when I come around their classes. Uh, <laugh> so lots going on with me.
Bethany Lockhart Johnson (01:06):
It’s already happening for me and I have a toddler.
Dan Meyer (01:10):
<laugh> There we go. Anyway, that’s what I’m up to. That’s how I’m feeling. I’m curious how you’re doing. We haven’t chatted in a while. We’re excited about the podcast, but it’s been a bit, you know? Bethany got a break from me and my antics over the summer. So, how are we finding you here, as we ramp up to the new season?
Bethany Lockhart Johnson (01:24):
Uhhhh. Well, let me just tell you, I have a toddler. That’s kind of all I need to say. Except that’s not all I will say. Of course, I’ll say more. I am exploring, I’m dipping my toe into the extracurricular toddler activities; the music classes of the toddler world, the creative movement of the toddler world. And yeah, I have lots of opinions and lots of things to say about the teachers. And I’m like, Ugh, I can’t wait to be room mom. And just like…<laugh>
Dan Meyer (01:55):
Just let it rip, you know?
Bethany Lockhart Johnson (01:57):
I have opinions on everything and just hope I don’t get kicked out of the class.
Bethany Lockhart Johnson (02:05):
It’s been an eventfully recharging summer and we are ready for this new season. And in fact, we’re so ready that we decided that we were gonna mix up this season. Just a, just a tiny bit. Shall I explain Dan?
Dan Meyer (02:21):
Yeah. Let’s do it.
Bethany Lockhart Johnson (02:22):
So we have loved all the different topics that we have explored in the Math Teacher Lounge world, but we kind of feel like we need to do some more deep dives. So for this season and the foreseeable seasons …
Dan Meyer (02:38):
We’ll see how it goes.
Bethany Lockhart Johnson (02:38):
Let’s stick with this season. For this season. We’re going to be exploring a singular theme.
Dan Meyer (02:46):
We’re not bouncing around. Yep. We’re not bouncing around from a guest to guest going on whatever shiny thing in the river bed catches our eye. We’re gonna take one theme and see where it goes. What we working with here this season?
Bethany Lockhart Johnson (02:57):
This season, we are going to be exploring the idea of joyful math, joyful math. And Dan, the question I have for you is, is the term joyful math one that you use on the regular?
Dan Meyer (03:10):
No, it definitely is not. I think that joy and math are very rarely, you know, connected in the popular mind. Number one, and number two, you know, I’m kind of an ornery fellow, so that’s not my natural kind of description of math. But we decided that it feels like an important one at the moment, because a lot of math teaching–a lot of teaching in general, math teaching in particular–math teaching is often not a joyful discipline for students, where, you know, I’ve done some research where you look at what people type into Google. And I looked at like, what they…why am I bad at X? And I looked at that for where X is math, where it’s science, where it’s reading, where it’s history. And it was just wild to see how many more hits there are out there on the Internet for “why am I bad at math?” People don’t really associate math with joy, but also we’re looking at joyful math in terms of joyful math teaching. Math teaching, teaching in general, is a tough field at the moment with a lot of teachers leaving teaching. And those who remain are having a lot of soul searching and thinking about, why am I here and how do I sustain this work? And in an environment that seems hostile to my interests or my talents, or work-life balance. And so that’ll be the theme that we’re gonna kind of uncover over the course of our season, talking to various interesting guests, including one today about, yeah, joyful math teaching and joyful math.
Dan Meyer (04:43):
And to help us think about what joyful math teaching looks like, we figured we’d first look at what UN-joyful math teaching looks like. It happens to be the case that we’ve been in a pandemic as you might be aware, and teaching has been challenging. And the NEA, our National Education Association, surveyed its member teachers and asked them the following question … Gave a list of issues that school employees have experienced and asked, for each one indicate how serious of a problem this is for you. This is a survey where more than half of members said they are more likely to leave or retire sooner than planned because of the pandemic. And this is almost double the numbers from July, 2020. It’s really hard to keep track of teacher departures and unfilled vacancies across states. So I don’t wanna like blow this up out of proportion, but it does indicate some real challenges in teaching. So Bethany, I was curious, what do you think like at the top of the list, like what kinds of factors, issues facing educators would you imagine there are?
Bethany Lockhart Johnson (05:48):
So if I’m to understand you correctly, these are reasons someone is not actively experiencing joy in the profession of teaching. Like why would they leave?
Dan Meyer (05:58):
Exactly.
Bethany Lockhart Johnson (05:59):
Well, the number one thing that came to mind for me, well, okay. Wait, wait, one other caveat I need to ask about, you said specifically pandemic-related or just in general, because if it’s pandemic-related, then I think, well, there’s health issues, right? That people are concerned about, but in general, the thing that came to mind was a lack of support from administration districts, lack of funding, and overcrowding in classrooms. Like, you know, I saw somebody had 40 students in their classroom. So those are the two things that I can imagine like top on someone’s list that would make them experience less than a joyful day.
Dan Meyer (06:44):
Yeah. There’s a bunch of you’re kind of identifying here. So number seven on the list is lack of respect from parents and the public, which is like 76% of teachers call that out as serious for them. Others that you kind of circled around in terms of resources go like, not enough planning or unstructured time in the job kind of ties into resources. Yeah. But there’s others that are on the list that I’m curious, you wanna take on the swing at it, given what I’ve said here,
Bethany Lockhart Johnson (07:15):
I feel like too much being asked of them, like being asked to wear too many hats, like they’re being asked to not only teach their class, but also cover all the vacancies and supervise recess and, you know, make a delicious, nutritious lunch. That’s what came to mind. Am am I close?
Dan Meyer (07:33):
Yeah. Number four on the list, unfilled job openings leading to more work for remaining staff. People covering, you know, not just the kind of external to teaching work like you’re describing, but also just taking on like losing your prep period, to take on a class that has been unfilled for all kinds of reasons. Yeah.
Bethany Lockhart Johnson (07:54):
Yeah. I’ve only gotten the fourth. Give me one clue, one clue about …
Dan Meyer (07:59):
So, I mean like, so number one is general stress from the coronavirus pandemic, you know, which I feel like …
Bethany Lockhart Johnson (08:06):
I mentioned that.
Dan Meyer (08:07):
I’ll give you that one. Yep, yep, sure. And then number two, close behind, is feeling burned out, which I think ties into what you’re describing as well. I’m giving Bethany credit on that one. The third one is very different from the ones you’ve been describing. I think I cannot in good faith give you even partial credit for this one. I’ll just say it. Student…
Bethany Lockhart Johnson (08:28):
Wait! Dan, this is not how you give clues.
Dan Meyer (08:31):
Here’s a clue. It’s student absences due to COVID19. It’s really hard to deal student absences. That’s your clue.
Bethany Lockhart Johnson (08:40):
That wasn’t a clue that you told me.
Dan Meyer (08:43):
Yeah, let’s see. I think that’s largely it. There’s also pay is too low, is on the list; student behavioral issues, on the list. And I think that about covers it. So all of that, that basket of items has led to more than half of teachers in this survey, saying that they’re more likely to leave or retire from education sooner than planned. And I don’t know. I think we all know teachers who have bailed.
Bethany Lockhart Johnson (09:08):
I’ve never played a board game with you, Dan, but if we ever play a board game, we’re gonna work on your clue giving, ’cause I want to keep guessing. And you just told me.
Dan Meyer (09:22):
Yeah. Yeah.
Bethany Lockhart Johnson (09:22):
In all seriousness, the <laugh>. In all seriousness, I think yes, the stress of the pandemic and students being absent, what some folks are calling unfinished learning, all of those pieces do play into it. But a lot of those things that you’re mentioning on the list are things that are not unique to the pandemic, right? Like those are things that I feel like there is some modicum of control that we could have over shifting the way the culture of the teaching profession is going so that we could create a more joyful experience for educators, administrators, and students.
Dan Meyer (10:03):
Yeah. Good call out. That’s exactly right. We could tax the people who are not in the classrooms more and increase the pay to classroom teachers. You know, there we go.
Bethany Lockhart Johnson (10:11):
Oh. Bingo. Why didn’t we ask you sooner Dan, for your wisdom.
Dan Meyer (10:15):
Yeah. I’m … solved by Dan. Yeah, good point though. So I read that and yeah, I think that there’s been some … people have critiqued the NEA for being very alarmist about teacher departures as the year has ramped up. It has not been quite the flood of departing teachers as was predicted and thank heavens for that, but we should still be very bummed if teachers are unhappy and wanting to leave and feel like they can’t leave. That is definitely not good. So we were really excited to bring to the table, someone who is just a very joyful teacher and one in a very intentional way. Someone who has a lot of discipline in how she approaches the job and the students in it and tries to create a joyful environment for herself, Kanchan Kant. Kanchan is a math and computer science teacher at Newton North High School in Newton, Massachusetts. She’s been sharing her love for math with her students for the past four years, while also being instrumental in setting the culture and ethos of the math department at her school in her role as the assistant department head. We welcome you on the show Kanchan to help us understand joy and math teaching. Thanks for being here.
Bethany Lockhart Johnson (11:29):
Welcome!
Kanchan Kant (11:30):
Thank you for having me. I really appreciate it.
Bethany Lockhart Johnson (11:33):
One of my friends, her son was asked as his first math homework assignment to write out his math bio. And I loved that idea because we got to hear a little bit about your bio from like a broader perspective. But if we were to ask about your math bio, I will speak for myself to say like, automatically certain images flash into my mind, right? To think about my relationship, my evolving relationship with math. But I’m so curious if I was to ask you, what’s your math bio? How did you become the person, mathematically speaking, that you are today? Would you mind sharing a bit about that?
Kanchan Kant (12:10):
Of course I would love to. So I was born and raised in India and I belong to a family which considers mathematics to be extremely important to succeed in life. My father used to have me add and subtract license plates since I was four years old, when we were out and about. I loved math in school, it just made like complete sense to me. It was logical and you know, it was my favorite subject. I loved it all through high school. I had a confidence speed breaker in undergrad. When in my second semester I almost failed the engineering math course that I took. That was the first time math felt like too much and not like my best friend, which it was supposed to be. So it was a while before I could summon the courage to take on another math course in college.
Kanchan Kant (12:56):
But once I did that, it was like old times. I realized I had to persevere through the challenging bits. And once I did that, it started to make sense again. And through my journey, as an educator speaking to people from various backgrounds and like coming to the United States, I realized that math is challenging for everyone at one time or another. For some people that is elementary school. And for some others, it is college or even later. Either way does not mean that you are not a math person. When I was in college, I felt I was not a math person. Whereas my sister, my very own sister said the same thing about math in middle school. Both of us use math every day. And we are definitely, definitely math people. So for me to be a math person is to persevere, to approach problem-solving in a logical manner, and to find the joy in the process ,as well as the answer.
Dan Meyer (13:47):
That’s wonderful. Yeah. A lot of people, have a moment where they feel like almost betrayed by what they thought was a close friend of theirs, with math, where it’s like, wait, I thought we were tight. You know, I thought we were cool. You and me. And there’s that moment. And I wonder if that’s been a useful moment for you to, you know, bring back now and then as a teacher with students who might feel that even, you know, in high school or in a secondary school as a kid.
Kanchan Kant (14:15):
Absolutely. Like when I talk to students and tell them, yes, I had difficulty in math too. It has not always been easy for men and there are still things I struggle with sometimes, then it’s like more modeling for them that you have to persevere, you should persevere. And once you do that, it makes sense and you can feel successful. So, almost every year I end up sharing the story with my students.
Bethany Lockhart Johnson (14:38):
There’s so much value in that, right? That you are sharing that vulnerability with students. And to say your relationship with mathematics has not been, you know, smooth sailing the whole way through. There were times when you had to work harder than others.
Dan Meyer (14:55):
Yeah. Really fun to hear about you and your father as well. I tried to ask my five-year-old to do some skip counting the other day, like, okay, cool, you’re hot stuff. You can count, you know, up by ones, but what about by twos? And the moment really fell flat. And I watched myself becoming the kind of parent who is whose enthusiasm for math is one day resented by his children. I feel a lot of, yeah, I felt your anxiety Kanchan, with math itself. And now I feel anxiety as like someone who loves math and loves to teach math and may one day alienate the people closest to him. <laugh>
Kanchan Kant (15:31):
I don’t like that future. I have a three-month-old. I do not like this future of mine. If I have to go through what you’re going through. Uh, oh, <laugh>
Dan Meyer (15:38):
You got this. So Kanchan, you’re going back to the classroom coming up here at the time of this recording. It’s a few weeks out. And we’re thinking about like the kind of ways that math teachers sustain a disposition that is joyful. How are you feeling right now, as far as going back to class after this summer? Are you feeling excited, anxious, some combo, tell us about it.
Kanchan Kant (16:01):
I would say combo, but more excited than anxious. I was on maternity leave, as I mentioned, before the school year ended, and I missed the students dearly. Like, my students are what gives me hope in the darkest times. They are thoughtful. They’re empathetic. They’re so eager to learn. And very soon into my teaching career, I realized that if I take the time to get to know my students and make them feel safe and seen in my class, teaching them math would be so much easier and so much more fun. So I’m a little worried about this being like fourth year into the pandemic, but let’s see. Last year I felt the students were finding it difficult to interact with and work with their classmates because they had not been doing it for so long. So I’m hoping this year would go a little better and I’m really looking forward to working with them and building community and see how it goes.
Dan Meyer (16:53):
So if I’m understanding you correctly, you are feeling very well recharged here. You had basically an extended summer with this maternity leave, basically just like a lot of rest and relaxation over the last, like several months. Um, if I get you here. So anyway, I’m glad for that for you. And, yeah. I also hear you on the difficulties of teaching post pandemic or mid pandemic. Anyway, thanks for sharing that.
Bethany Lockhart Johnson (17:19):
What I love is I hear you being so intentional, like thinking about those relationships and thinking about that community that you want to build, you know? How do you hope that you’re gonna cultivate joy in your teaching this year? I mean like, are there certain routines or disciplines that you specifically call forth or that you think other teachers should think about?
Kanchan Kant (17:41):
So at the start of every school year, I dedicate like about three to four weeks to set up the classroom culture, both social and academic. I call my classroom a learning community. We start with community circles, we do icebreaker activities, group building and all those kinds of things. But most importantly, we do a lot of collective problem solving. So I try to present students with problems, which can be solved using multiple strategies and have multiple entry points, basically they are low floor, high ceiling problems. These could be stretch problems that they have seen before, like concepts that they already know or logical puzzles, or just wrapping their heads around different problems. Then I have students share their strategies. The more strategies they have on the board, the more successful I think the problem was. Every year, inevitably, students come up with strategies that I’ve never ever seen before for the same problems that I do.
Kanchan Kant (18:35):
And so I have students come up to the board, they would share their strategies. If they’re not ready for that, they would walk me through their strategies. And I would write their name on the board with different colored markers and everything. Basically to give them choice and agency. It also shows them that the process of doing the problem is so much more important than just getting the right answer and that it is okay to make mistakes in our learning community. I use a lot of vertical whiteboards, some concepts and problems align so well with the vertical surfaces, especially when students can explore together, learn from each other. So I do a lot of that. As for routines, I would say consistency is the key. I consistently reinforce that I want to hear multiple strategies, that it is okay to make mistakes. I am willing to learn from you as much as you’re willing to learn from me. So all like that consistency in culture more than the routines, is I feel important to bring that joy.
Dan Meyer (19:29):
That’s super interesting. Thanks for that. So I’ve heard, I hear two common objections or two common concerns to using rich tasks or doing problem solving. And I think I heard like answers to those two common reservations within what you described there, but I wonder if we can kind of bring it to the surface. And so one of the reservations is around the time that those problems take and another is that teachers often feel like, well, I might be surprised, you know, I might not know what to do with what a student does. And I thought I was hearing like some very interesting answers to both of those kinds of reservations from you, but would you just surface those up if you have some.
Kanchan Kant (20:09):
So in terms of time, I feel if I spend the time at the beginning of the year, setting up that community and doing those problems, it makes learning the math and learning the concepts much more faster throughout the rest of the year. And even when I am trying, like, even throughout the year, if we are doing a warm up problem, as I call it, which has multiple strategies, that’s gonna clarify so many more concepts when we talk about those five, 10 strategies of doing the same problem, then going through multiple problems to clarify those concepts. So for me, it actually saves time instead of taking more time.
Dan Meyer (20:43):
Hmm. That’s super interesting. It’s an investment I’m hearing from you that, yeah, you might not be hitting the curriculum quite as hard early on, but that all of a sudden you’re in the spring and it’s like, oh wow, we’ve been moving so much faster through territory that has been more challenging. What would you say to you know, comfort concerned educators or to address the concern that I don’t know what I’ll do with these five, 10 different strategies. You say, I always see strategies that I’ve never anticipated. Like, it’s a good thing, you know, like you’re happy about that. I think that’s a very intimidating thing for lots of educators. What would you say to that?
Kanchan Kant (21:19):
I think like, for me, it’s a good kind of discomfort. That means like a student is teaching me something, which is actually doing two things. One modeling for them that I’m willing to learn and that I don’t know everything. And two, also telling them that they’re mathematicians. They know what they’re doing. They’re not just receivers of math, they’re actually creating it. So for me, that is very, very important.
Bethany Lockhart Johnson (21:43):
I love that so much. When you think about your students and you’re about to start this new school year, how do you hope your students will experience math in your classroom?
Kanchan Kant (21:53):
So I hope my students can see the beauty and joy of math. They can see that math is a way to see the world and not as something we have to do to get through school. So my hope for my classroom is that we can learn to problem-solve and persevere through problems and learn from each other and not just get through the curriculum. Because like, I think math is a wonderful way to learn these skills, which are so important when you get out of high school. Most importantly, I just wanna make sure that my students see themselves as mathematicians. And like one of the things that like I have to share with you that, because one of my highlights for the year has to be the Desmos art project. I do it every year for the past three years, I think since I’ve started teaching sophomores. And I do it as a unit assessment for functions and my students design something that is meaningful to them, using all the different kinds of functions and colors and shading and everything that you can think of in Desmos.
Kanchan Kant (22:49):
Thank you so much for that though. It is such a cool way for me to see them do that. Like I have seen such amazing creations. One of my students once made a scaled working model of a solar system wherein the planets were rotating at relative speed. The Saturn had rings and they were like asteroids and everything. And then it was beautifully done. Then there was another one who did a very, very detailed whale scenery, her reasoning. I wanna be a Marine biologist and I wanna study whales. So this is what is meaningful to me. So like that one project is just a culmination of everything that I want students to see in math and in my classroom. And like I do more of those kinds of things, but that is one thing that it’s one of the highlights of my year.
Dan Meyer (23:32):
That’s awesome. I love hearing that. Yeah. Shout out to the team at Desmos Studio for building and continuing to develop a tool list that so good for art and animation, even, in addition to some mathematics with a more computational kind. Yeah, that’s really exciting. What’s interesting to me is that you teach high school, and I think that like students at that age have a very well-defined sense of what math is and who they are as mathematicians. And then along you come, you know, and like offer this really interesting disruption, you know, in their sophomore year of high school that like, oh, this can be totally different, this relationship who I am. And that’s just really exciting. I imagine it’s a very surprising year. I would imagine that first month, I would imagine is a very surprising month for a lot of your sophomores.
Kanchan Kant (24:20):
Yeah, it is. I mean, that’s why I take that time to build that community because then that sets the tone and the relationship that we’re gonna have for the rest of the year. Students get to know how to work with each other. They get to know each other, that whole piece is like super important because of that.
Dan Meyer (24:35):
Yeah. That’s awesome. So here’s the thing, like we’re exploring these ideas about joyful math teaching and what it will take to cultivate restore, reclaim joy in math, teaching this next year. And you’ve offered us these really interesting ideas some, some very, you know, philosophical and some technical about how you spend time in ways that lead to joy in the spring for you and your students. Love that. We don’t want to as hosts, as researchers, investigators of this joyful math teaching idea, we don’t wanna say it’s all up to teachers to change their mindset, to do different technical practices, and that will lead to joy. We also wanna be really attentive to the environment that surrounds you, the people who are around to support you, the policy makers, the social structures that influence your joy in very significant ways. So what we would love to know from you is, how are you supported by the greater educational community in keeping your joy in your work? I’m thinking, especially about administrators, you know, front office, staff, parents, even, can you name a few ways for those sorts of people who listen to this podcast, how they can cultivate a math teacher’s joy this coming year?
Kanchan Kant (25:54):
I would say trust. I think more than anything, educators want administrators, parents, the greater educational community, to trust them to be professionals and experts in what they do. That does not mean that we don’t want to learn, that we don’t want feedback, that we don’t wanna get better. It just means that we keep the wellbeing of our students as our top priority. And we would like to be trusted to do just that. Also just keeping in mind that whether we like it or not, we are still adjusting to the new normal while recovering from the worst of the pandemic times. A lot of us are recovering from trauma, a lot of our students are recovering from trauma, and we need time and space for our social and emotional wellbeing.
Dan Meyer (26:35):
Yeah. I’m really curious, Kanchan, you’ve done a lot of work in your area with your grading team and in thinking about equitable and biased resistant instruction. I’m curious how you see those efforts lining up with creating joyful math learning conditions for all students, not just students from a dominant culture of math doing, let’s say.
Kanchan Kant (26:55):
For me, creating an equitable environment in a classroom is most important because once you have that, that’s when you have the relationships, that’s when you have the culture, that’s when all students actually thrive. So to that end, our school and our department has been doing a lot of work around grading practices. We actually assess how we grade students, where the bias is, what we can do to make them more bias resistant. Should we move to mastery based grading? Like that’s something I’ve been experimenting with for the past two years. Through the pandemic, I started doing mastery based grading so that my students can get more opportunities to show that they have learned the content. And so like just little things which help bridge the opportunity gap. I would say another project that our school undertakes is called the calculus project wherein we have students in Black, Latinx, and low income families sign up for that and are recommended for that. And then we do summer classes and yearlong support to preview the material for next year, not as a remedial class, but to actually set students up for success in AP classes for the coming year. So we have the community buildup. We have the courses we have like math support. It’s a very beautiful thing actually. And I’ve been working with that program for four years now. So yeah, so those are my ways of creating more equity in our school.
Bethany Lockhart Johnson (28:19):
That’s so beautiful and I deeply, deeply wish you had been my high school math teacher. And I have to say that the theme that I kind of keep hearing is this intentionality. How you are so intentional about your work, not just with what your students are learning, but how they’re learning it, how they are engaging with this subject and how they are building their own relationship. You talked a little bit about your relationship over the years with mathematics, but how are your students building that relationship? And so I’m just very appreciative of you sharing that with us and with our listeners. And we are so excited to have learned a little bit about, like, I feel like I got a little mini peek into your classroom.
Kanchan Kant (29:03):
Thank you.
Bethany Lockhart Johnson (29:04):
And can I say that if you are listening to this prior to October at NCTM Los Angeles, you will get to hear Kanchan Kant speak at Shadow Con. Can I give that away, Dan? Is that, is that …
Dan Meyer (29:23):
You can drop that. Yeah, It’s pretty top secret.
Bethany Lockhart Johnson (29:26):
Can I drop it?
Dan Meyer (29:27):
Yeah. Do it. Yeah.
Bethany Lockhart Johnson (29:28):
Dan and I will be in the audience cheering you on. It’s been a joy to learn with and from you, and we are so excited to just, you know, kind of keep marinating on some of these ideas about how we can continue to be intentional about creating joyful math spaces for our students. Thank you so much for joining us today.
Kanchan Kant (29:49):
Thank you so much. It was a real pleasure.
Dan Meyer (29:57):
So Bethany, I loved hearing Kanchan talk about both her, just her joyful personality, but how she cultivates joy through craft and technique through, you know, through the various ways she interacts with students in intentional ways, that those make the job more joyful for her. And I thought it was really interesting to hear her talk about how autonomy is the thing that she needs most in her job environment to feel like she can be joyful in her work. In that context, I saw … something on Twitter popped up for me in my, you know, my many Twitter wanderings. This is a segment we might call, Dan finds something on Twitter and shares it with Bethany. Which we’ll tighten that up a little bit, but I’m sending this over to you right now, and I’d love to know as you check this out, what you’re seeing and what you’re thinking and we’ll chat about how it relates to our interview here in a moment.
Bethany Lockhart Johnson (30:47):
All right. I’m ready, send it over. It’s opening. So this appears to be a document by the way, outlining, maybe it’s a district, maybe it’s administration, they’re outlining expectation type and expectation guidelines. Hmm. Okay. And these are lesson plan expectations. Expectation type. Timeliness. Plans are due no later than 6 p.m.. Friday prior to the week of instruction. Comprehensive, all activities for the week for all subjects taught should be included and complete by due date and time. Plans should have at minimum, the following, see template for detail. Okay. So then it goes through the things that the plans need to have, the topic title, target, the objective, the activities, the sequence, the display agendas to be displayed backward design. Okay. So basically <laugh>, we were just talking about, overwhelm. And when I see this document, listeners, have you ever received something from your administrator or anyone, let’s take it more broadly, that is requesting something of you that would take so much time to complete and be so out of touch with your lived reality that it really genuinely sucks the joy out of the experience.
Bethany Lockhart Johnson (32:25):
So the first thing that I see that this document, and again, the goal of whichever district’s plan this is, is that these expectations will lead–now, mind you, I am a fan of like, you know, looking ahead, I’m not a like, oh, hey, what am I gonna teach in five minutes? No, but the idea that then it lays out all of the things in such detail that you’re gonna be teaching feels like one of those pacing guides where, oh, move on to the next page, whether or not your students have any sort of sense making whatsoever. So my first thought is, oh, sad. I have to stay here. I’ll be there past 6 p.m. But I’m gonna be there trying to make the plans for the next week based on what I think my students have learned. Hmm it’s sounds like a little bit of a bummer. Dan, what did you think when you saw this and did I do a fair description of what it is?
Dan Meyer (33:25):
No, it’s, it’s a tough one to describe, ’cause it’s basically a wall of text and commands from an administrator who like, I just have to imagine has just like acres and acres of teachers trying to beat down their door to teach at this school, if this is how you’re gonna treat your teachers. I mean just, yeah. The idea of having a week… I’m with you, you don’t wanna just like, just jump in by the seat of your pants, but the idea of having a full week of lessons for every section you teach, every prep you teach, planned and submitted with every minute, basically morseled out to different goals. It says down here, you gotta like, for all of these, download a CSV of grades and whatnot and attach those. It’s the sort of thing, like you said, there are some edicts that you get from administration where you just have to laugh or just like, you have definitely missed like what I am willing to do here. It’s so far beyond. Yeah. I can’t imagine it. And it just felt like, yeah, it was a great way to get teachers like Kanchan to feel like a real lack of autonomy. Like it’s this would not work. I don’t think.
Bethany Lockhart Johnson (34:33):
And it’s not even like willing to do. Like, let’s say you’re even willing to produce it. Let’s say that me, the rule follower is like, okay. I’m gonna attempt to meet these demands. One, most teachers were just, you know, they probably would put baloney down there anyway. Not saying that I would, but I’m saying like, it’s clearly just a hoop that they’re having to jump through and two…
Dan Meyer (35:04):
Yeah. Compliance, right?
Bethany Lockhart Johnson (35:05):
Yeah. Compliance, compliance. There you go. And two, yeah, it feels like it’s about control and not trusting the teacher. And I love that. Kanchan said that trust is what she needs. Right? You’re hiring me. Yes. I still have lots to learn, but you’re trusting me and you’re creating an environment where I can continue to learn from and with my students. And if I was being asked to submit this tome every Friday before six, that is predicting, what does it say, anticipating the steps necessary for student mastery? You know, I kind of feel like maybe it’s like that one or two teachers where maybe they feel like, oh, I don’t trust that teacher or that teacher isn’t doing a good job, whatever. We better do this for all of the teachers, but then it’s not gonna change the practices of that one teacher and all the other teachers are gonna be resentful.
Dan Meyer (36:00):
Like if there was like feedback that came back to you on, you know, on lesson plans or there was some like something that was very constructive or productive, like maybe that would be different, but it really just feels like these are gonna go into a digital drawer somewhere and not be looked at, at all.
Bethany Lockhart Johnson (36:15):
Yes. The digital drawer. Like I’m gonna send you this report and then nothing is going to happen with it. Except that four hours of my time. Well, you wouldn’t do it, but <laugh>…
Dan Meyer (36:29):
You’ve worn me down. You’ve worn me down. I’m now putty in your hands and more compliant for the next thing. And I also just wanna shout out the administrator today, who I emailed asking about like a teacher participating in a project and this administrator said, I have a standing policy not to email teachers over summer break, which you know, as administrators out there doing just the good work, you know, trusting teachers, watching out for them, trying to be a force multiplier for teachers, making the road wider, the way easier for teachers. So shout out to y’all doing the out there. Really appreciate that.
Bethany Lockhart Johnson (37:04):
Okay. Wait, wait. About that email thing, quick question. Did you ever check your email over the summer?
Dan Meyer (37:11):
Uh, yeah. That’s one way in which I was the, you know, I just love email, you know? Oh. Someone wanted to reach out. Oh, oh, Banana Republic wants to tell me about new clothes that are on offer. <laugh> I mean like, it’s just, I love those personal emails. So yeah, I did check my email over the summer.
Bethany Lockhart Johnson (37:26):
Somebody emailed me recently and they emailed me at like two in the morning. And because I currently have a toddler, I received the email at four in the morning because you know, the best thing to help myself fall back asleep is to hop on my phone, right? Like I’m already up trying to get my toddler back to sleep. I might as well start scrolling. Anyway, so the person had this little thing at the bottom of their email and it said, I have, something to the effect of, I have really like wonky work hours. I may be sending this outside of the like more standard nine to five. But please don’t feel pressure in any way to respond outside of your time. Would you appreciate that, seeing that or does it make you feel like you should respond? ‘Cause I almost responded at four in the morning, and maybe that says something about …
Dan Meyer (38:15):
They’re telling you not to respond.
Bethany Lockhart Johnson (38:16):
I know it was helpful.
Dan Meyer (38:18):
It says don’t, but you’re like, what if they’re saying that because they really expect me to respond and this is one of many ways that you and I are different. I’m always happy to see that.
Bethany Lockhart Johnson (38:29):
Do you respond? I’ve texted you in the evening because you know I have some wonky hours. Do you respond to things, like where’s your boundary there? Or when you were in the classroom, where was your boundary there? Did parents have your phone number?
Dan Meyer (38:43):
No. I gave kids my cell phone number for a couple years and it was a wobbly experiment. But parents will email, you know, back and forth with you. And I think the best thing to like … I love just like adding some friction, some latency into the kind of the chain, you know, like I hate going like back and forth, like da, da, da, da, and then like respond and then da, da da respond. And it just like goes back and forth. So just like just sitting back for an hour or two hours, you know, not responding, just let someone cool down, calm down. Email just gets you more email. That’s like if you send an email, you are just making it more likely to get more email. It’s a, you know, it’s a problem.
Bethany Lockhart Johnson (39:20):
Are you one of the zero people?
Dan Meyer (39:23):
My inbox is at zero. Most days before work.
Bethany Lockhart Johnson (39:26):
You’re joking!
Dan Meyer (39:28):
I end work every day with inbox, at zero.
Bethany Lockhart Johnson (39:31):
You’re joking!
Dan Meyer (39:32):
That’s just, you know.
Bethany Lockhart Johnson (39:33):
Who are you?
Dan Meyer (39:34):
You know, you should take my life coaching, Bethany. I’ll give you a discount since we’re math teacher, lunch pals. But, um yeah. I can help.
Bethany Lockhart Johnson (39:44):
Thank you for qualifying where our pal-dom lives. I wouldn’t even tell you how many are in my inbox. Point is, if you are actively starting the school year, we celebrate you and we are here and over the next few months, we’re gonna be diving into joyful math and that definition’s gonna keep evolving. But I wanna say something that is making me feel a little joyful, Dan. You ready?
Dan Meyer (40:15):
Tell me.
Bethany Lockhart Johnson (40:16):
You and I, in person, at NCTM, the National Council for Teachers and Mathematics. It’s coming up and we are going to be recording Math Teacher Lounge, live. Live, in person! And I hear there’s gonna be like a t-shirt cannon and there’s gonna be, you know, like musicians marching through the aisles or something.
Dan Meyer (40:46):
A marching band?
Bethany Lockhart Johnson (40:46):
A marching band!
Dan Meyer (40:46):
Trained animals. Yeah.
Bethany Lockhart Johnson (40:48):
But the point is, I’m so excited, Dan. And you know, when I see you, I might just, it’s been so long since I’ve seen you, Dan. I’d love to give you a big old embrace.
Dan Meyer (41:04):
You might just, you might just cry. Yeah. Yeah. It’ll be great. Yeah. It’s gonna be awesome for you folks to see me and Bethany have a real awkward first hug since the pandemic. And, uh, but it’s gonna be a blast to hang with us in person. We’ll have some special guests, probably, some interesting segments. You folks should stop on by at NCTM, if you’re gonna be there. Highly recommended.
Bethany Lockhart Johnson (41:29):
Now, we will be broadcasting that episode. You’re gonna get to hear … we’re gonna record it live. It’s gonna happen. In the meantime, you can find us at MTLshow on Twitter, or you can find us in our Facebook group, Math Teacher Lounge. We can’t wait to hear from you. And we’d love to hear what makes math joyful for you? Where can we add a little bit more joy to you this, this season? So thrilled to be back. Thanks for listening.
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Meet the guest
As a math and computer science teacher at Newton North High School, Newton, MA, Kanchan has been sharing her love for math with her students for the past four years. Kanchan is instrumental in setting the culture and ethos of the mathematics department at her school in her role as the Assistant Department Head. Kanchan also leads the Math Department Grading Team and has been instrumental in making grading policies which are more equitable and bias resistant. In her new role as a Transformative Leaders of Massachusetts Fellow in collaboration with Springpoint and Barr Foundation, Kanchan looks forward to making equity and joy of learning the foundation of many more classrooms.
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!
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Amplify Desmos Math for Hawai’i
Welcome, Hawai’i educators!
Amplify Desmos Math is a new, curiosity-driven program that supports teachers in building their students’ math proficiency for life. On this site, you’ll find a variety of resources to guide you in learning more about what Amplify Desmos Math has to offer.
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.
Amplify Desmos Math is built on the highly-rated Desmos Math 6-8 program. Explore the all-green edReports review of Desmos Math 6-8.
Structured approach to problem-based learning
- Differentiation and personalized practice
- Easy-to-follow instructional guidance
- Robust assessments and reports
- Spanish student materials
Math that motivates
- Powerful teacher-facilitation supports and tools
- Students talking and building from each other’s ideas
- Every lesson has fully compatible print and digital materials for a collaborative classroom
Student thinking is made evident
- Curiosity-driven lessons that motivate students with interesting problems they are eager to solve
- Explicit guidance for teachers on what to look for and how to respond
- Technology that provides Responsive Feedback and is designed to reveal mathematical thinking
Scope and sequence
Click the links below to view the program scope and sequence for your grand band.
Start your digital review
To review Amplify Desmos Math lessons, click the orange button below, then select “Log in with Amplify” and use the following login credentials:
Username: t1.hawaiimath@demo.tryamplify.net
Password: Amplify1-hawaiimath
Preview lessons
Explore how 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. View real pieces of the program, here.
Meet your Hawai’i Team
Laina Armbruster
Senior Account Executive – Hawai’i
larmbruster@amplify.com
602-791-4135
Francis Ogata
Senior STEM Specialist – Hawai’i
fogata@amplify.com
Amplify Desmos Math for Crane Elementary School District
Amplify Desmos Math taps into students’ natural curiosity from the start of every lesson, helping teachers cultivate a classroom of eager, collaborative learners.
Amplify Desmos Math is based on Illustrative Mathematics® IM K–12™ and expands on Desmos Math 6–8 (which received all-green ratings from EdReports) with beautiful print resources, and robust practice, differentiation supports, assessment and reporting. Read the review on EdReports.
About the program
Amplify Desmos Math makes it easy for both teachers and students to make the shift to a problem-based approach by providing captivating activities, powerful teacher-facilitation tools, and lots of support for differentiation and practice.
We’ve combined interactive problem-based lessons with explicit instruction, reinforcement, and practice to enable students to develop math proficiency that lasts. Lessons set a strong foundation in procedural and fact fluency, deepen understanding of concepts, and enable students to apply learning to real-world tasks.
Amplify Desmos Math will be available for 2025–26 school year implementation. Interested districts can pilot the Beta release starting fall 2024.
Comprehensive
- Curriculum based on Illustrative Mathematics® IM K–12™
- Differentiation and personalized practice
- Robust assessments and reports
- Student materials in Spanish
Collaborative
- Powerful teacher-facilitation supports and tools
- Students talking and building from each other’s ideas
- Every lesson has fully compatible print and digital materials for an inclusive classroom
Delightful
- Curiosity-driven lessons that drop students into a real-world problem they want to solve
- Desmos Classroom technology provides instant, interactive feedback to push students’ thinking
- Colorful, visual guidance for teachers and students
Scope and sequence
Click the links below to view the program scope and sequence for grades K–5 and for grade 6–Algebra 1.
Preview lessons
Check out the links below to explore our interactive digital lessons, as well as preview pages from the Teacher Editions and Student Editions. Watch our quick walkthrough video for tips on navigating our lesson resources.
Grade 1, Unit 3, Lesson 15: 10-frames and Towers
Grade 2, Unit 1, Lesson 3: Ways to Make 10
Grade 7, Unit 6, Lesson 14: Unbalanced Hangers
Grade 8, Unit 4, Lesson 4: More Balanced Moves
Algebra 1, Unit 2, Lesson 6: Shelley the Snail
Your comprehension questions answered, with Nathaniel Swain, Ph.D.
Second Mockup Episode 14: Your comprehension questions answered, with Nathaniel Swain, Ph.D.
Your comprehension questions answered, with Nathaniel Swain, Ph.D.