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Language comprehension: Building mental models

©Alexander Huth / The Regents of the University of California

Throughout this five-part series, we will cover the main components of the Science of Reading (SoR) and provide additional resources and research to guide your exploration and implementation of this important movement.

Say you’re given a passage of text to read. This particular paragraph describes half an inning of a made-up baseball game.

After you read the passage, you are asked to reenact the scene.

Which is more likely to aid your success?

A. Your ability to read

B. Your knowledge of baseball

C. It makes no difference

Would you be surprised to know the answer is actually B?

In part one of our series, “What is the Science of Reading anyway?,” we discussed the two main components of the Science of Reading: decoding (converting written words into speech) and language comprehension (understanding that speech). We also provided in-depth coverage of both learning and teaching how to decode the symbols of the English alphabet and strengthen the reading muscle.

LANGUAGE COMPREHENSION

In 1988, two young researchers and 64 students took part in an experiment that has forever changed how we think about reading and comprehension. One by one, the students were handed the same story covering half an inning of a made-up baseball game and asked to reenact it.

To the researchers’ surprise, they found that reading ability had little impact on how well kids understood the story—but knowledge of baseball did. In fact, students who were weak readers did as well as strong readers if they had knowledge of baseball.

Teaching knowledge explicitly improves reading comprehension. As Willingham has said, “Reading tests are knowledge tests in disguise.”

Researchers at the Haskins Lab at Yale tested this theory and found an extraordinarily high correlation between how well a 7-to-9-year-old child can recognize words and how well they comprehend text.

Common teaching mistake — Strategy instruction

So if reading comprehension is driven by a student’s vocabulary and knowledge, are widely taught strategies like finding the main idea equally critical?

Many strategies make intuitive sense: Stopping and re-reading when comprehension breaks down, for instance, is helpful for many children. But teaching the main idea strategy over and over is less helpful.

It is hard to find the main idea of a piece of writing if you don’t really understand any of the ideas in it. And even if you know a strategy — like re-reading when stuck — you also need to be well-versed in when to apply the strategy. You need to notice that you didn’t understand the text.

Often, strategy instruction neglects to offer students practice with identifying the situations in which they should use the strategy.

In the 1940s, a skills shift began to take place in education systems throughout the world. Its effects can be traced in the U.K., Sweden, Germany, and, most recently, France. This shift brought an emphasis on reading and math, squeezing out the broader knowledge taught in the sciences and social sciences. Some have linked the decline in standardized test scores—the SAT in the U.S. and the DEPP national exam in France—to this shift.

The National Survey of Science and Mathematics Education reported that today, classes in grades K–3 spend just 19 minutes per day on science and 16 minutes per day on social science.

To counter this loss of broader knowledge in our students, research suggests that we teach comprehension strategies in moderation and use the freed-up time to build knowledge (and vocabulary).

But simply exposing students to everyday speech doesn’t build a strong vocabulary. In a typical conversation, there are around 20 unusual words—such as dismayed or zeal—per 1000 words. Newspapers and books contain more than twice as many. Rich vocabulary, then, is gained not solely through speech, but through reading. Rich vocabulary, then, is gained not solely through speech, but through reading—especially when reading a variety of text types.

Mental models

Some readers with good word recognition, vocabulary, and knowledge are still weak comprehenders. Why might this be the case?

After students read a passage, they aren’t likely to recall the precise wording, but they will probably remember the ideas. Researchers use the term mental model to describe the structure you create in your mind to perform this feat of comprehension. Think of the process of building a mental model as a sort of micro-comprehension. Weak comprehenders build poor models. Hence, when asked prediction or mapping character development questions, they answer poorly.

There are four critical skills students need to improve their mental modeling:

  1. Decoding the usage of anaphoras (she, they, him). Some early readers can’t reliably figure out who the pronoun is referring to, especially in ambiguous text.
  2. Understanding the use of markers to signal ways that the text fits together — connectives, (like so, though, whenever) structure cues, and directions. Inexperienced readers may not know that but, though, yet, and however signal that something opposite follows.
  3. Writers make assumptions about what can be left unstated. For instance, when they read “Carla forgot her umbrella and got very wet today,” good readers will use their prior knowledge to conclude that it rained. Weaker readers who fail to make these gap-filling inferences wind up with gaps in their mental model.
  4. When something doesn’t make sense, you stop, re-read, and try to figure it out. Weaker readers just keep going—not because they’ve failed to figure it out, but because they’ve failed to notice that they don’t understand. They need explicit instruction in monitoring comprehension as they read.

Overview

Think of reading as a suitcase that you need two keys to open. The first key is word-level decoding, a skill that becomes automatic and fluent. The second key is language, vocabulary, and domain-specific knowledge. The more words you can decode, the more new words — and their meanings — you can learn. Similarly, the more knowledge you have on a topic, the more you can soak up on the same topic — and on related topics.

These two keys make up the Science of Reading. When schools focus heavily on one key or the other, the suitcase doesn’t open. So now the greater task of applying this knowledge in the classroom awaits us.

For more in-depth examples, brain scans, and information about the Science of Reading, download our free primer:

Science of Reading – Make the Shift Today

Why knowledge matters in early literacy

Part of the magic of reading is that it opens up endless knowledge.

This seems to suggest a logic of first learning to read, then reading to learn.

But experts in education and the Science of Reading have actually turned that logic on its head. They say that knowledge matters first.

That’s why our elementary literacy curriculum Amplify Core Knowledge Language Arts (CKLA) delivers literacy skills grounded in knowledge. In fact, it’s one of only a few such programs recently recognized by the Knowledge Matters Campaign for excelling at building knowledge.

Background knowledge is essential to literacy

Reading depends on both decoding and comprehension. Many years of classroom observation and received wisdom have supported the supposition that comprehension must be taught as a discrete set of skills, while decoding arises more naturally.

But an established body of cognitive science research now shows that early literacy skills are best built deliberately, on a foundation of knowledge. In fact, knowledge-building is not a result of reading and comprehension; it’s a vital prerequisite and a fundamental part of the process. In other words: The more you know, the faster you learn.

But typically, literacy instruction focuses on decontextualized skills—finding the main idea, making inferences—rather than the content of texts and resources that students engage with.

Teachers often put the skills and strategies in the foreground, like a skill of the week, then they bring in texts that they find well suited for demonstrating the skill or strategy. So instead of harnessing skills and strategies to content, they’ve got the cart before the horse,

Natalie Wexler, author of The Knowledge Gap told host Susan Lambert on Amplify’s Science of Reading: The Podcast. “What we’re doing in elementary school can plant the seeds of failure in high school.”

When students lack access to the same sources of knowledge, they also lack equal access to reading success. That’s what experts call the knowledge gap, and it needs to be narrowed, or even eliminated, in order to achieve equality.

Wexler adds that a skills-first approach may also—despite educators’ best intentions—challenge kids’ self-esteem. “We are telling kids, ‘Just do this and you’ll become a better reader and better student.’ They do it diligently, but then if it doesn’t seem to work, they may blame themselves.”

A closer look at the knowledge gap theory

Let’s say you’re handed a passage of text describing part of a baseball game. You read the text, and then you’re asked to reenact that part of the game. Which is most likely to help you do so?

  1. Your ability to read
  2. Your knowledge of baseball
  3. It makes no difference

If you answered “2,” you’re batting 1,000. This example summarizes an influential 1988 study that concluded that the strongest predictor of comprehension was knowledge of baseball. Even the weak readers did as well as strong readers—as long as they had knowledge of baseball.

Not all students arrive at school with the same prior knowledge.

If a student who’s never heard the word “yacht” is asked to read and analyze a text passage about the Henley Royal Regatta, it’s a good bet that they won’t do as well as a student who has. Not all students visit museums, have a library of books at home, or travel outside the country or even city where they live.

Wexler cites cognitive psychologist Daniel Willingham in her powerful Atlantic article “Why American Students Haven’t Gotten Better at Reading in 20 Years.” He says,

“The failure to build children’s knowledge in elementary school helps explain the gap between the reading scores of students from wealthier families and those of their lower-income peers…a gap that has been expanding—[w]ealthy children are far more likely to acquire knowledge outside of school. Poorer kids with less-educated parents tend to rely on school to acquire the kind of knowledge that is needed to succeed academically—and because their schools often focus exclusively on reading and math, in an effort to raise low test scores, they’re less likely to acquire it there.” 

How we can support teachers

Change can be challenging, says Wexler: “When you’ve been doing something for years in the belief that you’re helping kids, it can be difficult when somebody comes along and says, actually, you may be holding them back.”

We can support educators by increasing awareness of the Science of Reading, the role of knowledge in literacy, and access to tools that support educators in delivering knowledge with literacy. We can also show them what learning looks like in classrooms where all students acquire knowledge and literacy regardless of background.

We can, for example:

  • Challenge the assumption (which predates Google) that when kids encounter an unfamiliar word or topic, they can just look it up. Doing so can impose a cognitive load that can actually interfere with learning.
  • Seek out high-quality products and programs that intertwine literacy and knowledge.
  • Remind educators and decision-makers that—as Wexler puts it—”the students who blossom the most with a knowledge-building curriculum are the students who, in a skills-focused system, would be the kids in the lowest reading group. They are able to offer valuable insights and feel like full members of a classroom community.”

About Science of Reading: The Podcast

Science of Reading: The Podcast delivers insights from researchers and practitioners in early reading. Each episode takes a conversational approach and explores a timely topic related to the Science of Reading.

Reading comprehension strategies grounded in science

When we teach reading using what science (specifically the Science of Reading) tells us, we guide the brain to start recognizing and understanding those letters, syllables, and words. And the most effective reading comprehension strategies depend not only on explicit instruction, but on building background knowledge.

Comprehension instruction: Breaking it down

According to the Simple View of Reading, two cognitive capacities are required for proficient reading: (1) decoding, and (2) language comprehension.

“Reading comprehension is the product, not the sum, of those two components,” says Dr. Jane Oakhill, professor of experimental psychology at the University of Sussex. “If one of them is zero, then overall reading ability is going to be zero.”

As Oakhill explains further on Science of Reading: The Podcast, each component contains its own set of distinct skills and processes. It’s crucial to help students develop all of these capacities.

Building mental models for new information

Some readers are great at decoding but struggle with language comprehension. Why might that be—and how can you support them?

Here’s some context: After you read this paragraph, you aren’t likely to recall the precise wording—but you will probably remember the idea. Researchers use the term mental model to describe the cognitive strategies for the structure you create in your mind to perform this feat of comprehension.

Historically, educators have thought about the process of comprehension — everything that happens after each word is recognized — as a black box. But now we know that there are two levels of comprehension at work: comprehension processes and comprehension products.

Comprehension processes are the steps you take to build a mental model of a text during reading. Comprehension products refer to the work you are able to do with that model after reading.

Think of the process of building a mental model as a sort of micro-comprehension. Weaker comprehenders build weaker models, so they may struggle when asked to create a narrative text summary, identify a theme, put together predictions, or describe key details of a character’s evolving beliefs.

By actively engaging with text, connecting prior knowledge, utilizing graphic organizers, receiving explicit instruction, and exploring new information, students can learn to build robust mental models that enhance their comprehension of the text. These mental models serve as frameworks for understanding, organizing, and synthesizing information, which then leads to improved comprehension, retention, and critical thinking.

Researchers have identified as many as 17 comprehension processes that affect students’ ability to build and use their mental models. The following are a few of the comprehension processes that weak comprehenders most commonly struggle with, and that with practice, can be targeted for skill development and improved overall comprehension.

  • Anaphora (using pronouns to refer to an earlier word or phrase): Some readers struggle to process pronoun relationships (Megherbi & Ehrlich, 2005), identify antecedents, and answer questions that require resolution of anaphora (Yuill & Oakhill, 1988).
  • Gap-filling inference: When reading the sentence “Carla forgot her umbrella and got soaking wet,” more skilled readers will conclude that it rained. A lack of awareness of when and how to activate background knowledge to fill in gaps may hinder a student’s ability to make inferences and comprehend the text as a whole (Cain & Oakhill, 1999).
  • Marker words: Writers use connective words (e.g., so, though, and yet), structure cues (e.g., meanwhile), and predictive cues (e.g., “There are three reasons why…”) to signal ways that text fits together. Students with limited knowledge of the meaning and function of these words may struggle with the meaning of the text (Oakhill, et al., 2015).
  • Comprehension monitoring: When proficient readers encounter difficulty, they tend to stop, reread, and try to figure it out. Less proficient readers may just keep going or fail to recognize that what they’re reading doesn’t fit their mental model.

Two strategies that you can employ in your classroom to guide students in comprehension strategy instruction:

  • Graphic organizers: Use graphic organizers such as concept maps, story maps, or Venn diagrams to help students learn to visually organize information and relationships within the text. Visualization enhances comprehension (Graesser, et al., 1994). As the text progresses, students can refer to and update their models.
  • Comprehension monitoring: Teach readers to monitor their comprehension while reading by pausing to reflect on their understanding, clarify confusing points, and adjust their reading strategies as needed. Monitoring comprehension helps good readers stay engaged and actively construct meaning from the text.

How background knowledge powers comprehension

The Science of Reading demonstrates the importance of systematic and explicit phonics instruction. But students don’t have to learn phonics or decoding before knowledge comes into the equation. In fact, the opposite might even be true.

Let’s say you’re handed a passage of text describing part of a baseball game. You read the text, and then you’re asked to reenact that part of the game. Which is most likely to help you do so?

  1. Your ability to read
  2. Your knowledge of baseball
  3. Neither

If you answered “2,” you’re batting 1,000. This example summarizes an influential 1988 study that concluded that the strongest predictor of comprehension was knowledge. In the study, which showed readers (with varying degrees of background knowledge about baseball) a passage describing a game, struggling readers comprehended as well as strong readers—as long as they had prior knowledge of baseball.

“The background knowledge that children bring to a text is also a contributor to language comprehension,” says Sonia Cabell, Ph.D., an associate professor at Florida State University’s School of Teacher Education, on Science of Reading: The Podcast.

In fact, background knowledge is the scaffolding upon which readers build connections between prior knowledge and new words. Students with average reading ability and some background knowledge of a topic will generally comprehend a text on that topic as well as stronger readers who lack that knowledge.

But until recently, literacy instruction has typically focused on decontextualized skills—finding the main idea, making inferences—rather than on the content of texts and resources that students engage with. According to Cabell, what we know about knowledge and comprehension should inform instruction for the whole class. “I think most, if not every, theory of reading comprehension implicates knowledge,” she says. “But that hasn’t necessarily been translated into all of our instructional approaches.”

How can we help build background knowledge while teaching reading? Here are some strategies backed by science.

  • Systematically build the knowledge that will become background knowledge. Use a curriculum grounded in topics that build on one another. “When related concepts and vocabulary show up in texts, students are more likely to retain information and acquire new knowledge,” say education and literacy experts Barbara Davidson and David Liben. According to them, this retention even continues into subsequent grades. “Knowledge sticks best when it has associated knowledge to attach to.”
  • Provide instruction that engages deeply with content. Research shows that students—and teachers, too—actually find this content-priority approach more rewarding than, in Davidson and Liben’s words, “jumping around from topic to topic in order to practice some comprehension strategy or skill.”
  • Support students in acquiring vocabulary related to content. Presenting keywords and concepts prior to reading helps students comprehend text more deeply. Spending more time on each topic helps students learn more topic-related words and more general academic vocabulary they’ll encounter in other texts.
  • Use comprehension strategies in service of the content. While building knowledge systematically, teachers can use proven strategies—such as chunking and creating graphic organizers—to help students develop skills they can use to support their for understanding of important information.
  • Use discussions and writing to help students learn content. Invite students to share their interpretations, supporting their thought processes in their own words and connecting with peers’ perspectives.
  • Help students forge connections in small groups. Help students draw connections between reading lessons and units—and their own experiences—as they grow their knowledge base together.

Every day, the Science of Reading has more to tell us about comprehension as a multifaceted skill that requires a combination of various strategies, tools, and techniques to unlock meaning from text. Because of this body of research, we know that when educators bring intentional and evidence-based practices into the classroom, students can enhance their ability to comprehend grade level text, analyze information critically, and engage with diverse subject areas. By nurturing students’ reading comprehension skills grounded in the Science of Reading, educators can empower students to become good readers who can navigate complex texts with confidence and understanding.

Explore more

The Amplify blog:

Science of Reading: The Podcast

RF.1.3.G: Recognize and Read Grade-Appropriate (First Grade) Irregularly Spelled Words

Skill

RF.1.3.G: Recognize and Read Grade-Appropriate (First Grade) Irregularly Spelled Words

Standard

CCSS.ELA-LITERACY.RF.1.3.G: Recognize and read grade-appropriate irregularly spelled words.

Description

Mastery: Student is able to read irregularly spelled words with automaticity.

Acquiring: Student is able to recognize some irregularly spelled words. Student may attempt to decode some irregularly spelled words.

Probes

T: Read the following words – show a list of High Frequency Words, such as Fry’s or Dolch word lists, presented in random order (e.g., the, of, to, you, she, my, is, are, do, does).

Activities and Resources

Small Group Instruction – Direct Instruction

During Transitions

Reinforce Skills/Independent Work Time – Independent/Small Group Center Activity

Display (e.g. Anchor Chart):

Source: The Balanced Literacy Diet

Source: Make, Teach & Make

Considerations & Reminders

  • High Frequency Word Lists should be posted and visible for students to reference. While these words are to be memorized, the act of looking up at a chart/poster for quick reference allows the student to eventually be able to quickly find and recognize the words.
  • When introducing an irregular word (but not when building fluency), we ask students to sound out and say the word correctly. There are multiple reasons to ask students to sound out irregular words:
    • When students encounter an irregular word in connected text, they may initially attempt to sound it out. These exercises prepare them to read the word correctly.
    • We want to show students that, though some word parts may be irregular, other parts are often regular, so that students can decode those parts, giving them a clue to the full word.
    • If we sound out some words and not others, students may learn that sounding out should only be used intermittently. They may decide not to use it even when they should.
    • Even for irregular words, the process of connecting symbols to sounds helps students learn the word: “The knowledge of letter-sound relations provides the powerful mnemonic system that bonds the written forms of specific words to their pronunciation in memory.” (Ehri, 1995)
  • Teaching tips:
    • One way to accelerate learning of irregular words is to print out flashcards for each newly introduced word and make a set for your students to practice with at home.
    • If words are being introduced too slowly for your students, you can introduce a new irregular word every day. You should feel free to vary the pace, being careful to ensure that everyone is keeping up.
    • When you point to a word, wait before touching it and train students to respond only when you touch the word. That gives all students time to think of the answer, so that slower students don’t just copy faster students.
    • For each activity, keep a record of items a student had problems with. Review this activity log before the next activity so you pay special attention to those students.

Putting equity first

When so much about the world needs to shift, so urgently… here are a few places to start.

Listen: Educator, author, and leader Shawn Joseph shares his passion for social justice and discusses his work advocating for equity in education, shedding light on what he calls the “silent crisis” in literacy instruction.

Learn: Share Shawn Joseph’s discussion guide with your colleagues. Which insights are the most relevant to your district this year?

Lead: Take a look at this curated collection of multicultural and social justice books. Could one spark discussion for your students?

Lead: Share this infographic on the journey to freedom with your class. Ask students to select an event to research and present a two-minute video talk.

Leveraging the science of reading

Go deep on the insights and practices that will help our classrooms (remote or otherwise)–based on the latest science, and adaptable to every shift in the educational landscape.

Learn: Introduction to the Science of Reading

Learn: Science of Reading Primer, Part One

Learn: Science of Reading Primer, Part Two

Learn: Susan Lambert talks to Language Magazine about the science of reading and what it means right now.

Building strong foundational skills

Strong, systematic sound-first instruction is critical to helping students learn to decode and can increase student success. Learn how specific skills can increase your impact. 

Learn: Start with Emily Hanford’s “Hard Words” article.

Listen: Jasmine Lane on the importance of equity, and how early literacy teachers can make a difference.

Listen: Bruce McCandliss on the changes a child’s brain shows when learning to read

Lead: Challenge a colleague to this Scarborough’s Rope activity–work through a sample lesson from your district and point out elements of the reading rope.

Sharing knowledge resources

Students need to be able to both read words and get the meaning of what they’re reading. Find out how to help them build key background knowledge from the get-go, so that it compounds over time.

Learn: Begin with Why knowledge matters–then follow up with Natalie Wexler’s podcast

Learn: Take a look at Achieve the Core’s overview of the importance of building knowledge and the groundbreaking “baseball study“

Listen: Anne Lucas on the importance of comprehension and the specific skills that can boost it.

Listen: Tim Shanahan on four crucial aspects in teaching reading and his views on teaching reading in middle school as an extension of evidence-based early literacy practices

Learn: Begin with Why knowledge matters–then follow up with Natalie Wexler’s podcast

Learn: Take a look at Achieve the Core’s overview of the importance of building knowledge and the groundbreaking “baseball study“

Assessing what students need

Assessment this year is more important than ever before–and also more challenging. What does this extended summer slide look like? How can you find time to review what’s needed, while still moving forward?

Learn: Education for Global Development’s thoughts on formative assessment in the time of COVID-19.

Learn: District Administration on why educators want more data– and more guidance on how to use it

Learn: Catch up on dyslexia risk factors and state legislation with our dyslexia toolkit.

Listen: Nancy Nelson on the importance of universal screeners in literacy instruction.

Lead: What can you offer struggling readers and their caregivers? Take a look at the IDA’s COVID-19 Resource Guide.

Thriving through remote learning

Everything about this school year has changed–yet your work is more important than ever before. How can you support your students, and your colleagues, in this new normal? Stop by Amplify Anywhere for ideas that may help.

And while you’re here–please download your free PDF “20 Self-Care Tips for Educators Right Now” (and please take care of yourselves!).

Alana Mangham on Teaching Now

Natalie Wexler on the New Normal

Thinking about back-to-school

Though it feels like the landscape is changing every day, we know we’ve got to find a way to get students back to learning. What will your school day look like? What reinforcement might you need to do in order to ensure equity? We will continue to share resources to support your journey.

Learn: In this recorded webinar, explore some ways CARES Act funding might support your students.

Learn: Hear from Baltimore educator Lucas Drerup on making middle school ELA both enjoyable and rigorous for students.

Listen: Jackson-Madison CAO Jared Myracle shares his thoughts on change management and the science of reading.

Listen: Doug Lemov, managing director of Uncommon Schools, discusses the role of technology in the classroom and remote instruction, and how educators can reconsider how they approach literacy.

Lead: As you consider how and when to reopen, review this article from The Atlantic on Eight steps that will let us reopen schools.

Lead: Guidance from District Administration on reopening safely this fall.

Finding high-quality instructional materials

If you were already thinking about new literacy resources–you’ve now got even more ideas about what high quality looks like. How will your literacy program work for all students? How do you need your literacy resources to support you in the classroom, in remote learning, and for every scenario in between?

Learn: Review this guide to a high-quality curriculum adoption.  What factors matter most now, in literacy and in every subject?

Listen: Hear nationally recognized reading experts and authors David and Meredith Liben discuss evidence based solutions and more.

Lead: Download this K-8 ELA Instructional Materials Evaluation Guide. Share with your district leadership. What resources will you all need next year (and beyond) to do the best job possible for your students?

Lead: Talk to a few colleagues in the coming weeks. What are they seeing right now? What are they planning to improve next year?

Staying strong and staying connected!

Illustration for

Looking for ways to connect with other educators and stay updated on the latest research and trends in the science of reading? Check out a few more ways to do so below.

Science of Reading: The Podcast delivers the latest insights from researchers and practitioners in early reading. Further your professional development with each episode by subscribing and downloading them now.

Science of Reading: The Community is built for those committed to fostering conversation around the science of reading and implementing best practices in the classroom (including the virtual classroom).

Ready for more? Complete the form below to stay up-to-date on the latest resources.

Defining math fluency with Jason Zimba

When we think of fluency, especially as a goal, we might think of speaking or reading a language. But fluency is also a goal in learning math! So what is math fluency? And what does it look like in the math classroom? In Season 6, Episode 1 of our Math Teacher Lounge podcast, Amplify’s own Jason Zimba helps us understand—using some analogies to baseball and chicken, of course.

Definitions of math fluency

We can develop fluency in many things, from coding to cooking. On the Math Teacher Lounge podcast, Amplify Chief Academic Officer of STEM Jason Zimba recounted becoming fluent in…roast chicken. 

Jason describes practicing one particular recipe until it was perfect. For Jason, that meant not just that the outcome was flawless or delicious, but that he was eventually able to make it from memory, without thinking—and to naturally adjust and calculate for variables like a smaller or larger chicken, or an unfamiliar oven. 

Math fluency works the same way. Practice brings effortlessness—freeing up time and mind space for new opportunities. 

The word “fluency” comes from the Latin fluentia, which means “flowing.” When applied to math, it means ”skill in carrying out procedures flexibly, accurately, efficiently, and appropriately,” says podcast host and math teacher and advocate Dan Meyer. As with someone fluent in a language (or a recipe), someone fluent in math is able to think and calculate mathematically without struggle or effort—that is, with fluidity. 

Podcast host and elementary educator Bethany Lockhart Johnson adds this informal description: “It’s that thing you don’t even think about anymore. ‘Cause it’s in there. You’re not still thinking about addition facts, because you’ve got it. And it fuels you. It’s the foundation that allows you to do all the other cool stuff.”

Fluency in the math classroom

What does fluency look like in practice? A young learner fluent in math will be able to smoothly recite the number word list in order (“one, two, three…”) and write the numerals from 0 to 9. As the student grows, so does their fluency with multi-digit calculation, rational-number arithmetic, and eventually even variable expressions. 

“It’s a wordless but still somehow almost verbal sort of fluency, with properties of operations as the grammar of the language,” says Jason.

But “it’s not fact recall,” he says. “Recall is remembering or just knowing. Fluency refers to calculation.”

Why and how to improve math fluency

There are different paths to fluency, but all can lead to “conceptual richness and mathematical joy,” says Dan.

If fluency provides that crucial foundation, what happens to students who are not math-fluent? 

“When kids don’t have access to [fluency], it keeps them from diving into the juicy parts of math,” says Bethany. “Math is so much bigger than addition facts, but when they don’t know those addition facts, that becomes all math is.” 

Without fluency, students miss opportunities to progress in (and enjoy) math, and may even develop math anxiety. 

So how can you support math students in developing fluency? 

For one thing, it’s important not to underestimate the value of practice and repetition. These approaches—especially when used in combination with other, more organic modes—can be highly productive, says Jason. “I worry about whether discomfort with repetitive practice is short-changing students of the power and confidence that fluency can bring.”

Dan compares it to achieving excellence in a sport—”like shooting from the same spot on the court over and over again,” he says. That kind of rote repetition is valuable in sports, and should also have its place in math instruction. 

It’s also important for students to understand why they’re learning and even drilling their numbers, arithmetic, or times tables, Jason notes. They need to be “invested in understanding and agreeing that this is going to do something for them.” 

One thing that helps: providing students a sense that they’ve accomplished something. “We need to have moments for them to reflect on what has been learned and what is now easy that was previously hard,” Dan says. He calls this process “humanizing fluency”—and Math Teacher Lounge will be here all season to help math educators do just that.

Save the date

Join us at NCTM in October for a live Math Teacher Lounge podcast recording with Dan Meyer and special guest Jennifer Bay-Williams! We’ll be investigating math fluency and finding fun ways to get all students engaged in math instruction. 

Math Teacher Lounge LIVE!
NCTM | Oct. 27 | 2:30 p.m. EST (doors at 2:15) | Room 158AB

More to explore

5 ways to boost biliteracy with the Science of Reading

Research shows that bilingual instruction (including dual language instruction and dual language immersion) supports the long-term success of dual language learners—in both languages, and beyond.

How do we best support those students?

More precisely, how are we serving our emergent bilingual students so that they can develop their biliteracy? This is a question posed by biliteracy expert and Amplify product specialist Alestra Flores Menéndez. And in our recent webinar Leveraging the Science of Reading to Boost Biliteracy, she and other experts attempt to answer it.

The power of biliteracy

Knowing more than one language is a powerful tool for opening up new worlds, meeting different people—or even just asking directions in an unfamiliar place.

But that’s not all. Bilingualism itself is a cognitive strength. Research conducted in 2015 by Claude Goldenberg and Kirstin Wagner links bilingualism to increased control over attention, improved working memory, greater awareness of the structure and form of language, and better abstract and symbolic representation skills.

“Our multilingual learners really are using their brains differently,” says Flores Menéndez.

And as with all students, we need to start early to make sure they’ve got their best shot at literacy.

The number of emerging bilingual students in our classrooms is growing, with 15.5% of them in grades K–3. That group includes the key developmental year—third grade.

Third grade is seen as the last year students learn to read before they start reading to learn. Without proficiency by fourth grade, they’re at risk of struggle across subjects.

And for many students, literacy is biliteracy. So how to make sure they get there?

Helping all multilingual learners succeed

“Bilingual instruction has been proven to be the most effective,” says Amplify biliteracy specialist Ana Torres, M.Ed., citing research by Virginia Thomas and Wayne Collier.

Other models (English immersion, transitional bilingual) are a fit for students with certain language profiles. As Torres notes, “We have to be intentional and purposeful to make sure there are positive outcomes for all students.”

But the proven impact of the bilingual model shows this: Knowledge of, and in, a second language builds from the first.

Foundational skills, vocabulary, and knowledge are essential, and all transfer to the second language—through explicit, research-based instruction.

Key elements of that instruction:

  1. Assessing literacy in both languages. “Assessing what [students] know in their native language is crucial to their success in acquiring that second language,” says Torres. A 2019 study at the University of Oregon looked at phonological awareness among Spanish-speaking pre-K students. (Phonological awareness represents the understanding that words are made up of a series of discrete sounds.) When assessed in English, 63% of students needed Tier 2 or 3 intervention. But when assessed in Spanish, only 21% did. “We need to look at the overall picture of students’ literacy,” Torres says. “Otherwise they’re going to get the wrong instruction.”
  2. Deliberately bridging from the native language to the new one. Spanish and English share many elements, among them letter sounds. If students know the sounds of the letter m in Spanish, they’ll be able to map that sound onto the same letter in English.
  3. Grounding in the Science of Reading. The Simple View of Reading has been validated in more than 150 studies across multiple languages. Foundational skills, vocabulary, and knowledge can all transfer through explicit instruction.
  4. Honoring students’ home languages, cultures, and community experiences. “It’s well documented that when children feel a sense of belonging, they’re more motivated to learn and experience more success in school,” says Menéndez. “Students should see themselves reflected positively in any curricular material.”
  5. Emphasizing knowledge. Perhaps you’re familiar with the iconic baseball study. Students with prior knowledge of baseball greatly outperformed their peers on reading comprehension—even those peers who were stronger readers. “Building knowledge is absolutely essential for literacy development,” says Menéndez.

Learn more

Explore Amplify Caminos.

Watch the full webinar: Leveraging the Science of Reading to Boost Biliteracy.

Biliteracy and Science of Reading principles in English and Spanish.

Read about The Importance of Dual Language Assessment in Early Literacy.

Binge our biliteracy podcast playlist.

What is the Science of Reading?

Diagram illustrating the pathways of language comprehension and word recognition merging into skilled reading, with processes becoming increasingly strategic or automatic.

The Science of Reading is a large body of research that helps answer a key question about the human experience: How do people learn to read?

It also helps answer a fundamental question for educators: How should we teach reading?

The Science of Reading draws on decades of research from fields like cognitive science, neuroscience, linguistics, psychology, and education. This vast (and still growing) body of research describes our up-to-date understanding of what reading requires, and therefore shapes our approach to effective literacy instruction.

Two frameworks are widely used to capture and communicate those core takeaways:

  • The Simple View of Reading
  • The Reading Rope

In this overview, we’ll walk you through both.

Why reading needs science

Spoken language develops naturally. Children typically learn to understand and use language simply by being around other people who talk.

Reading, on the other hand, works differently. Written language is a human invention; our brains did not evolve to read. When we are born, the parts of our brain that see letters are completely separate from the parts that hear sounds. So to become readers, students require explicit instruction. They have to be taught specifically to build new connections between what they see on the page and the language they already know.

For a brain to read words, it needs to create new pathways that connect letters with sounds. For example, when a child sees the letter “f” and connects it to the /f/ sound in “funny,” their brain builds a new bridge between the areas that handle sight and sound. Reading actually rewires the brain, bringing together the regions for vision, speech, sound, and meaning into one coordinated reading system.

The Science of Reading explains what those new connections involve—and why some students need more support than others to build them.

The Simple View of Reading

At the heart of the Science of Reading is one of the most widely accepted frameworks in reading research: the Simple View of Reading, first proposed by experts Philip Gough and Bill Tunmer in the 1980s.

The Simple View answers a basic question: What has to be in place for a reader to understand a text?

According to the Simple View, reading comprehension depends on two essential components:

  • Decoding: the ability to turn written words into spoken language
  • Language comprehension: the ability to understand the meaning of that language

Both are necessary, and neither works on its own. One reader may decode words accurately but struggle to understand what they read, while another may understand spoken language well but be unable to read the words on the page. In either case, comprehension breaks down.

The Simple View captures this core finding of reading research: Skilled reading depends on both word reading and language understanding working together.

Decoding: Reading the words on the page

Decoding involves learning how letters and letter patterns represent sounds. This task is complex in alphabetic writing systems like English, where many letters represent more than one sound, and many sounds can be spelled in different ways.

When children begin learning to read, they already understand a great deal of spoken language. What they don’t yet understand is written language. Letters and printed words are unfamiliar in a way that speech is not.

As students practice decoding, they become more accurate and more fluent. Over time, decoding becomes increasingly automatic.

And this automaticity matters—when students no longer have to focus most of their attention on reading the words, they can devote more mental energy to understanding what the text means.

Language comprehension: Understanding what you read

Language comprehension includes vocabulary, knowledge about the world, and an understanding of how language works across sentences and texts.

Research shows that what readers already know plays a major role in comprehension. As shown in the baseball experiment, students understood and remembered more when the text described a familiar activity—even when their reading skills were relatively weak.

When students read about unfamiliar topics, comprehension becomes more difficult. This is true even for students who can read the words on the page accurately.

So what’s the best way to teach reading comprehension? Combine both elements of the Simple View. In other words, reading comprehension grows alongside vocabulary and knowledge, and exposure to a wide range of topics supports reading development.

The Reading Rope

The Simple View of Reading identifies what reading requires, while the Reading Rope reflects how those requirements develop and become integrated over time.

The Reading Rope organizes reading into two broad strands:

  • Word recognition, which includes phonological awareness, decoding, and fluent word reading
  • Language comprehension, which includes vocabulary, background knowledge, and the ability to make meaning from text

Each strand of the Rope is made up of multiple interconnected skills. With effective instruction and practice, these skills become more coordinated and more automatic. As that happens, reading becomes smoother and less effortful, allowing readers to focus more fully on meaning.

The Reading Rope builds on the Simple View by showing how skilled reading emerges as these components strengthen and work together.

Instructional practices: Putting it all to work

The Science of Reading is the broad body of research on how reading develops, and the Simple View of Reading and Reading Rope capture the core takeaways of that research.

Together, they show that skilled reading depends on both accurate word reading and strong language comprehension, and that these abilities develop through explicit and systematic instruction, practice, and growing knowledge over time.

For educators, this understanding provides the strongest possible foundation for reading instruction. When students become skilled readers, new possibilities open up—in their classrooms today, and for the rest of their lives.

S4 – 02. Bethany and Dan share their math biographies

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

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

Explore more from Math Teacher Lounge by visiting our main page. 

Download Transcript

Dan Meyer (00:00):

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

Bethany Lockhart Johnson (00:08):

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

Dan Meyer (00:16):

Hey, Bethany, how are you doing today?

Bethany Lockhart Johnson (00:18):

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

Dan Meyer (00:28):

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

Bethany Lockhart Johnson (00:44):

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

Dan Meyer (01:01):

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

Bethany Lockhart Johnson (01:16):

Was the burrito still warm?

Dan Meyer (01:18):

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

Bethany Lockhart Johnson (01:40):

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

Dan Meyer (02:06):

Yep.

Bethany Lockhart Johnson (02:06):

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

Dan Meyer (02:54):

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

Bethany Lockhart Johnson (03:39):

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

Dan Meyer (04:32):

What’s going on? What’s happening?

Bethany Lockhart Johnson (04:33):

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

Dan Meyer (04:39):

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

Bethany Lockhart Johnson (05:15):

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

Dan Meyer (05:33):

BTS! K-Pop, you know! Let’s go!

Bethany Lockhart Johnson (05:35):

K-pop. BTS.

Dan Meyer (05:38):

Let’s go, Bethany <laugh>.

Bethany Lockhart Johnson (05:39):

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

Dan Meyer (06:26):

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

Bethany Lockhart Johnson (06:44):

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

Dan Meyer (06:46):

Ask me what?

Bethany Lockhart Johnson (06:47):

Hey, Dan!

Dan Meyer (06:49):

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

Bethany Lockhart Johnson (06:57):

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

Dan Meyer (07:00):

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

Bethany Lockhart Johnson (07:04):

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

Dan Meyer (07:12):

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

Bethany Lockhart Johnson (09:02):

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

Dan Meyer (09:06):

Yeah. Rock on.

Bethany Lockhart Johnson (09:07):

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

Dan Meyer (09:33):

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

Bethany Lockhart Johnson (10:20):

OK.

Dan Meyer (10:21):

Anyway.

Bethany Lockhart Johnson (10:21):

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

Dan Meyer (10:39):

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

Bethany Lockhart Johnson (10:54):

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

Dan Meyer (11:02):

Yeah.

Bethany Lockhart Johnson (11:02):

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

Dan Meyer (11:15):

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

Bethany Lockhart Johnson (11:48):

Nice segue. OK.

Dan Meyer (11:50):

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

Bethany Lockhart Johnson (15:20):

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

Dan Meyer (15:51):

<Interrupting> Like what?

Bethany Lockhart Johnson (15:51):

Eating.

Dan Meyer (15:51):

Like what, Bethany? OK.

Bethany Lockhart Johnson (15:52):

Um, Sleep.

Dan Meyer (15:55):

So yeah, maybe we dive into some of the specifics in a different time.

Bethany Lockhart Johnson (15:59):

Just tell me one of ’em. Tell me one.

Dan Meyer (15:59):

I’ll just say. So as to discourage other Math Teacher Lounge listeners from taking this on—back off of the record, folks!—this was back in college, so I was a little more limber back then. But I did one—I think it was 1.8 seconds per clip. For an entire 24 hours. Just like, so just like think about it, would you? If you’re gonna step to me on this one, just think about that, OK? And then, and then, you know, make an informed decision.

Bethany Lockhart Johnson (16:28):

Wait. Wait, wait, I just wanna tell you one thing. I’m picturing somebody with a straw, and like, giving you water as you keep clipping. I’m picturing, like, music, I…

Dan Meyer (16:37):

That’s not far. That’s not far. That’s not far from—yeah.

Bethany Lockhart Johnson (16:40):

So many questions! OK. Go on. Sorry, sorry, sorry. Go on. This is your bio.

Dan Meyer (16:44):

We gotta, I gotta wrap this up. I wanna hear your bio. But, like, I would just say like this move to this sense that math is actually a thing that’s useful for more than just a grade; it’s useful for more than just, you know, the societal, you know, adulation that comes from being a math nerd. That kind of thing. And so that, I think that affected a lot of math teaching for me. And, if I gotta, like, summarize math teaching itself in a journey, it went from like, “Hey kids, aren’t I awesome?” to, “Hey kids, isn’t math awesome?” to “Hey kids, aren’t you awesome?” And like that journey was facilitated by lots and lots of people, you know, a lot of personal growth, but at this point, at one point I was like, “Hey, math can help you get records and whatnot. It’s really useful.” And now I’m like, “Wow, your brain’s just doing just really interesting things. I can help you understand how interesting those things are, and maybe make them more interesting, or interesting in a different way, with some help here.” Let’s put a pin in that. That’s the math bio.

Bethany Lockhart Johnson (17:50):

  1. So I have no doubt that if you ask someone in your life, listeners, for their math bio, that you will discover things about them that you never knew. Literally the questions that I have…I have so many question. And Dan is very good at, you know, bringing me back. Bring me back, like, come on, come on. But I just wanna say, overall, your journey seems pretty joyful. It seems pretty joyful. It seems pretty full of confidence. I don’t wanna say “ego” in a negative way, but I wanna say you were buoyed by these experiences that allowed you to feel like math was a place for you to thrive.

Dan Meyer (18:36):

Right.

Bethany Lockhart Johnson (18:36):

Where you could try out things. You could try it out and just, “I could do that!” Right? Like…your relationship just felt very, like…you felt like you had autonomy, agency, perhaps much like you, you operate in this world. Dan, is that, is that right <laugh>?

Dan Meyer (18:54):

Yeah, I think it’s fair to say. And without telling too much of her story, my twin sister with whom I share most things, including genetics, you know—she had a very different experience in math early on. She’s brilliant. She’s a doctor. And not, you know, the book kind of doctor that I am, but like a real, you know, medical doctor. She’s brilliant. But we were—we encountered different messages about who math was made for, early on in, you know, in our entire math learning. And she—we both digested the messages that we were sent, and took, you know, different, different paths because of them, for sure.

Bethany Lockhart Johnson (19:31):

Funny how that works. I thank you, Dan. I do. For in all sincerity, I appreciate you sharing that. And I think that it’s exciting to hear how it influenced your teaching. It feels like you want to cultivate those experiences for your students. And I’ve been in the room when you’ve presented; I was in a room where you taught a class live. It felt like you were making space for the students to have these aha moments. And it feels like in your work at Desmos, and now Amplify, you’re trying to create these products that allow folks to recreate these amazing math moments. Right? And that it’s for everyone and that it’s accessible and it can be very positive. I feel like I have this new perspective on kind of the energy you bring to your teaching. So thank you for sharing that.

Dan Meyer (20:24):

Yeah. Been a pleasure. Thanks for your questions here, Bethany. And it’s been—it’s been fun to reflect on it. And I do—I do feel very lucky in lots of ways. Privileged. Lucky. I know, like—I think the world has been set up for my success in lots of ways, as who I am. But I do just…yeah, I feel—I want more people to experience what it’s like when you walk into a math classroom and it’s like, “Hey, this place is for you. You have interesting thoughts about this. Let’s get ’em out.” So that’s awesome. I would love to hear about you and how you…I mean, we have taught different kinds of kids. You know, I taught kids who I think were somewhat set in, they’re a little bit more solid at secondary in who they are as a math learner. Like “I know who math is and who I am with math.” And I’m really excited to hear what your math bio allowed you to do with students who were perhaps open to the idea that they are very mathematical or at least not yet closed off to those possibilities. So, yeah. What are some of the high, the, you know, the high and low water marks of the making of Bethany Lockhart Johnson, math teacher? <Laugh>

Bethany Lockhart Johnson (21:24):

Thanks for asking, Dan. <Laugh> I’ve shared aspects of my math bio because I think it really informs the way that I talk to people about math and think about math. And I like to share it because I want folks to consider their own journey with math, as we like engage with problem-solving and sense-making and thinking about the students in our classroom. My dad is a math and computer science major. So he had a computer very early on. I wish he had invested in Apple early on when he had like one of the first Apple computers ever. And, sorry, dad, but it’s true. I do wish you had done that.

Dan Meyer (22:10):

I’m sure he does too.

Bethany Lockhart Johnson (22:11):

Oh, he does. So math and computers and conversations about counting, you know, it felt like it was kind of just normal. Like it was around me. And I went to Montessori, which is a private school that—oh, they have some public Montessori—but it’s very self-directed. And so we would have these kind of charts, these goals for the day that you explored. And so we would explore math in very, I don’t know, very organic ways, with these natural materials. And I feel like I excelled at math, but it wasn’t something that I was conscious of. It was just like, “Oh, well, yeah. Math, it’s, you know, something we do.” And then when I went to—when I left Montessori in fourth grade, I remember that year being a lot of like repetition. I was like, well, we did this. We covered this. And except for the mission project that we hadn’t done, that was all new. And that’s it. For another time I’ll share about that. But <laugh> then, they actually, I was moved with a group of students to the fifth grade math class, ’cause we had already done the work that we were doing. And so, it wasn’t that it felt like it came easily, but it did make sense. What we were doing made sense. And then it all kind of changed. There was a lot of change in my family. There was, like, missed school time. And we moved and I went to a new middle school and I was in this environment with students who—it was like an accelerated program. And so I was in this environment with students who were pretty competitive with each other. And I remember going—and I was not from of a competitive environment; like Montessori is not competitive. It’s not about that.

Dan Meyer (24:02):

Right. Right.

Bethany Lockhart Johnson (24:02):

It’s—it was very strange to me that I would be competing against anyone, even competing against myself. And I, you know, knew how to set goals. But it was a different level of energy. And I felt like, because I wasn’t competitive in that nature, I felt like that kind—I felt on the outside of a lot of the energy. Besides the regular, like, middle-school feeling outside of things. And I remember the first friend that I made. Hi, Susan! She had said to me, this was like maybe our second week of school, she’s like, “Oh, at lunchtime, come with me to math club.” And I was like, “OK.” And I remember walking into that room and I had no idea what was going on. And so that was one of the first times where I was just like, “Whoa, I have absolutely no concept of what they’re talking about or what.” These are my peers. I felt very—it was very—it was strange. It was strange. I was like, “This doesn’t feel like a space for me at all.” When I think ordinarily I was kind of excited about the idea of going to math club at lunch, you know? And over middle school, I kind of just got progressively more and more behind. It started with missing some work and then missing more and then checking out. And, you know, the problem was that I really made it about myself. That, like, it wasn’t something that I was then good at or could do. When really it was that well, pre-algebra, I was having a really hard time in like the rest of my life. And so I wasn’t real present in that class. And so when I got to algebra, it didn’t make a whole lot of sense. And then if I missed Monday, Tuesday, and Wednesday, well, Thursday is gonna be hard, you know? And, it just got progressively harder and harder. So I had this great idea that between eighth grade and ninth grade, I was going to take this accelerated geometry class. ‘Cause that was the ninth grade class, it was geometry. And I would take it. It was like geometry in three weeks or something. So then when I entered high school, I would’ve gotten this like jumpstart. But I wish I had said, “Oh, I’ll take this, and then in ninth grade I’ll take geometry.” So like I’ve already kind of gotten a preview of the material. But instead I went to the 10th grade math, which was like intermediate algebra, trigonometry. I had absolutely no clue what was going on. And I had a very, very difficult time and I wasn’t ready for that class. But it was exacerbated by the fact that this teacher felt very free to let the freshmen in that class know that they shouldn’t be in that class. That this class was for 10th graders.

Dan Meyer (26:49):

Oh wow. Oh, wow.

Bethany Lockhart Johnson (26:51):

And we had a rather contentious relationship. And I will never forget that we were in the hallway, and he says to me, “You don’t belong here.” And I’ve talked to—I’ve talked to a girlfriend of mine about her experiences with this teacher and she has the fondest memories.

Dan Meyer (27:13):

Wow.

Bethany Lockhart Johnson (27:14):

She—in fact, almost everyone I’ve spoken with, you know, if we are talking about past teachers or, “Oh, what was that class like?” I mean, they just have these wonderful memories! And for me, my sense of like belonging was already so on a tight rope anyway, that to have this adult, this teacher, tell me, “You do not belong here,” just crushed me. And in hindsight, I think he was saying like, “This class is too hard for you.” I mean, maybe. <Laugh> But all I heard was “You don’t belong here.” And I extrapolated it to connect to math and to anything having to do with math in general. And it just got worse and worse through high school in the world of math. My next math class was even—I had to repeat that class, and still didn’t understand what was going on, and felt more out of place, and, you know, it’s one of those things that I just kind of had started to accept that, I guess, math isn’t for me. I guess I’m just not a math person. Or whatever these stories are that I started to create and build and find evidence for around me that was informing that this wasn’t for me. And I had always done well in school. I was in, you know, accelerated classes. I felt like I was capable of problem solving. And yet in math, I just felt like I had all of this evidence saying that I didn’t belong there. And so when I went to college, I took whatever two math classes were—you know, I was in performing arts and then I did ethnic studies as well. And I remember you had to take two math classes that were GEs. There were these classes that if you don’t wanna deal with math, you go take those classes. And I was like, “Oh yeah, I’ll take that. I’ll take that.” The gulf widened, you know? <Laugh> And I didn’t feel like anxiety when I had to do things like balance my checkbook or navigate math in everyday spaces. It was just, it would never occur to me that I would like seek out opportunities to engage with math or think about it or talk about it.

Dan Meyer (29:35):

That is—yeah, that’s just so wild, how, I don’t know, like it’s often, from the student’s perspective, it is them in a vacuum with math, and the two of them interact and decide if, you know, if they’re right for each other. But from the grown-up perspective, it’s just, you know, it’s a little bit clearer that your story with math was not just you in math, but you with, you know, various external things happening. With family, various teachers playing their different roles—sometimes, you know, really tragic and horrible roles—and then like the compounding mathematical debt that it feels like you were kind of building up, as challenges in one year didn’t get resolved and moved into the next year and so on. And all that makes me wonder—it makes me, like really, really scared, first of all, because I would bet that your teacher might not even remember that moment, that for you is part of just a pivotal moment in your math story, and how many kids have I played—have I been a part of their story in that way and wouldn’t even recall? You know what I’m saying? So that’s a scary part. And then also I’m just wondering, like, how can we, how can we help kids who are in those moments recognize that, “Oh, this kid is like absent a bunch,” and give them more resources to be successful rather than say, “Well, you just gotta try harder now.” Those are things I’m wondering, hearing your story. Thank you for sharing that. I’d love to know more about how you then became a teacher and what all that did for you as you helped students.

Bethany Lockhart Johnson (31:06):

Well, but to answer what you were saying, it wasn’t that I wasn’t—I was always absent physically, but at least like mentally at that point, because it had become so difficult. It didn’t make sense to me. So I was just really checked out in math class, you know? So in hindsight, you know, as a teacher, for sure I can look back, and especially hearing these stories and these experiences my friend had with this teacher and just like chalks up as one of like her most favorite teachers ever! And you know, he clearly did a great job for so many students. But for me, and I think for some people, they would’ve taken those challenges and, you know, it would have fortified them in a different way or something. But for me, I took it upon myself to mean certain things about myself and about my ability and what I was capable of. And so I think, I think in some ways, you know, yeah, it’s all, it’s all interconnected. You know, when your students walk in the door, they’re not this—the things that are impacting them in their life are coming into the room with them. And I don’t think we can take that for granted and think, “Well, if they just focus hard enough…”

Dan Meyer (32:21):

Yeah.

Bethany Lockhart Johnson (32:23):

So let’s go back to my love of Oprah. You know, Oprah talks about living your best life. And something I really appreciate about Oprah is that she encourages you to examine, like, sticking points, right? Like she doesn’t just say, “Well, this…just pretend nothing ever happened, and everything’s fine!” You know, she really talks about making time for reflection. And I kind of got mad that anytime I thought about math, or math schooling came up. Or, you know, whatever, any time that came up that I just felt UGH about it. And I felt like a failure. And I’m like, “You know what, what if I took a math class? And I’m an adult at this point. I’ve graduated. I have—I’ve left college. I have my degrees. But I said, “What if I took a math class?” So I went down to, the city college and I found out that you have to take this exam, like a placement exam. And I went and took the placement exam. And I remember it’s one of the responsive tests where if you get it right, the next question’s a little harder. And so I’m taking it, panicking, because it’s getting more like…I just, you know. And I remember it placed me in like, whatever, Algebra Something, this class that was far more advanced than I thought I should be in. And I was like, there’s been a mistake! You know, and I went to the counselor and said, you know, “I got these results, but I couldn’t answer a lot of the questions on the test.” She’s like, “No, no, no, that’s how it works.” So I go take this class and the class was hard. And I decided that I was just gonna keep showing up. And every day before class, I kid you not, they had a little math…it was like a math center where you could go in and they had a bunch of tables and you’d sit at the table and you could sit and do your work or whatever. If you had a question, you walked up and put your name on a clipboard and then somebody would come and help you. So I did that, every single—like before every single class I would go in. I’d sit there. I’d do the work. I’d go. And I’d get help. Like somebody would walk over and you know, some kid for whom they’re like this…you know, they’re math—it might be you, Dan! It could be you! It could have been you! You know, would walk over and be like—

Dan Meyer (34:38):

Yeah, I was in Help like that. Naw, it’s awesome. Love, love those people. Yeah.

Bethany Lockhart Johnson (34:42):

And you know, I did it. And I did so well in the class. I did exceedingly well in the class. And I said—

Dan Meyer (34:50):

Take that! Take that, everything! Every other math experience!

Bethany Lockhart Johnson (34:53):

I said, what?

Dan Meyer (34:55):

Yeah!

Bethany Lockhart Johnson (34:55):

Wait a second.

Dan Meyer (34:56):

Yeah.

Bethany Lockhart Johnson (34:57):

And it was that I was present. I was not afraid to look at what didn’t make sense. And if something didn’t make sense, it didn’t mean there was something wrong with me. Whaaaaat?

Dan Meyer (35:10):

Yeah. Yeah.

Bethany Lockhart Johnson (35:10):

So I was just in such a different space. And then I took another math class and that class was even harder. And I did the same thing where I went to the little lab and, you know, and it just buoyed me. And it made me realize that, like, this story, that my experience with it was very powerful and that was a real lived experience, but that it didn’t have to define my relationship with math. But then! I decided I wanted to go back to school to become a classroom teacher. And I totally—this was a couple years after that math class experience. So now, you know, I’m healing my relationship with math through basic positive experiences, da, da, da, you know, doing other work. But fast-forward, for a whole number of reasons, decided to become a classroom teacher. And I freaked out. All of my—like, I’m studying for the GRE and the CSET and all the things you have to the hoops you have to jump through to apply to the masters program and the credential program. And I freaked out. I was so close to quitting, Dan. Because I was convinced that the reason I couldn’t be a classroom teacher is because I wasn’t capable in math. Like I was—it was all that resurfaced. And even though I now had evidence to say something different, to the contrary, it was still so visceral. And I was so scared. But I passed that Math CSET.

Dan Meyer (36:47):

Get it.

Bethany Lockhart Johnson (36:47):

I did well enough on the GRE—

Bethany Lockhart Johnson (36:50):

Yes!

Bethany Lockhart Johnson (36:50):

You know, I finished my credential. I worked really, really hard. I had to work so hard in my student placement, when I was student teaching for a fifth-grade class, ’cause I felt like, “Oh my God!” I mean, now I could do the mathematics, but I couldn’t TEACH it to someone, you know? But I had amazing professors at UCI, and my math professors really like just—and my mentor teacher! shout out to Jennifer! shout out to Phil!—these amazing mentor teachers who just loved teaching and who loved—like you said, you have these teachers in your life who you got to see the way that they listened to students. They taught me about that love of listening to students. And then I fell in love with, you know, CGI, cognitively guided instruction, and started learning all about all of these educators who just wanna learn from students’ thinking. And it was just so powerful. And I realize as a kindergarten teacher that I have this really special role in helping to create space for a positive school experience. Like we get to talk about—I talk about my students as mathematicians; they’re writers; they’re thinkers; they’re problem-solvers. And I also want to make space for parents. Some of them, this is their first kid in kindergarten, and they brought all of their experiences, a lot of it negative, that they had had with mathematics. So I felt like it was such an exciting opportunity to help show parents how they could have conversations about math with their students. That also, I hope helped heal their own anxiety with mathematics.

Dan Meyer (38:41):

Right, right.

Bethany Lockhart Johnson (38:42):

Like, I’ve not even scratched the surface of math learning. But I just have such a changed perspective and relationship with math. And I just fell in love with the sense-making. And I fell in love with the journey of it. I still experience math anxiety about a wide variety of things, but I do love it. And I feel like there’s a space for me in relationship with math. And that really excites me.

Dan Meyer (39:09):

Yeah. Wow. Listen to that folks. We, we don’t deserve her! Bethany Lockhart Johnson! She got some math game and could have gone off there and, you know, become an accountant or something. And she chose to hang with kids and their parents. That’s so wild that you’re like rehabbing parents and their self-conception about mathematics at the same time. I think that is so cool.

Bethany Lockhart Johnson (39:32):

Well, thanks Dan Meyer. I gotta tell you, I don’t know when or if I’ve ever shared that much of my math story. So there is a certain amount of vulnerability there. But thanks for listening. And I’m glad that, you know—I think there’s space for us to talk about these things that we care deeply about, but that can be really complicated.

Dan Meyer (39:56):

Yes. Yes. And I love how you you’ve really sharpened the point on what I feel like I know in my brain, but not my body all the time: That individual teachers are huge. Like, individual teachers, and individual moments of teaching, are just not something to play with. You know, like that kid that’s in fifth grade having a tough time, like there could be a month or a day-long period where all of a sudden, like, you’re just like, “Oh yeah, I’m back in the mix; like, me and math are still buddies.” And there’s also like moments that you had, where like one casual word from a teacher can just really put a huge wedge between you and a discipline that needs and wants you and your intellect in it.That’s a really powerful testimonial. Not just for math, but for teaching, your teaching bio.

Bethany Lockhart Johnson (40:43):

I agree with you. And I also, I also…you know, I think we can’t put this—we are human. Teachers are human. And so I’m sure there’s things I’ve said to students. Twenty-second story: a student stapled his finger in my class. <Laugh> And I remember holding his hand and saying, “Why did you do that?” And I wasn’t yelling at him, but it was like, I am sure the panic in my face…like, that’s what he’s gonna remember about kindergarten. Right? <Laugh>.

Dan Meyer (41:19):

Yeah.

Bethany Lockhart Johnson (41:20):

That. He will remember that. He won’t remember the really cool city project we did. He’s gonna remember his teacher holding his hand, in his face: “Why did you do that?”

Dan Meyer (41:30):

Yeah. Yeah.

Bethany Lockhart Johnson (41:30):

You know, so we’re human. And yes, it was awful that that teacher said that to me. There were a thousand other ways that he could have said whatever it was he was thinking. And that did deeply wound me. But despite his influence—because teachers do have a lot of power and I think they need to examine that power, ongoing—it still doesn’t have to define us. So I don’t wanna put this pressure, like—

Bethany Lockhart Johnson (41:55):

Sure.

Bethany Lockhart Johnson (41:56):

“So never ever say anything negative!” You know, we’re human.

Dan Meyer (42:00):

I feel like that kid is currently on some office-supply podcast talking about “your office-supply bio” and saying, “Let me tell you how I first got really freaked out by staples. Here’s the deal: I only use paper clips. And here’s why.”

Bethany Lockhart Johnson (42:15):

“Here’s why.” But then—callback!—he’s going to stumble upon THIS podcast and think, “And because I’m so adept with paper clips, I can beat that record!”

Dan Meyer (42:30):

Though—aaay! whoa! Settle down!

Bethany Lockhart Johnson (42:31):

BOOM.

Dan Meyer (42:31):

Don’t get any ideas, kid. No way. Uh-uh. I don’t like that at all. That’s not what—that’s not what I want to have happen here. No, thank you.

Bethany Lockhart Johnson (42:41):

Well, I’m spent, Dan. I need a nap.

Dan Meyer (42:45):

Yeah. I need a box of Kleenex. I need a nap. I need a—yeah, for sure, a baba. Uh-huh. Definitely. Hey, so look, I’m not expecting you folks out there in the lounge to kind of give us the same depth or breadth. You know, we are here, of course, for your entertainment. Feast on our stories and dramas. But I would love to know at some point, like, what are a few, a few moments that really came to define you mathematically? Came to influence you as a teacher? I think we would do really well for each other to understand that about all of our processes. So yeah, I would just toss in a plug in for Twitter, @MTLShow, or Facebook, Math Teacher Lounge; it would be fantastic to hear from you.

Bethany Lockhart Johnson (43:24):

Thanks so much for listening.

Dan Meyer (43:25):

Thanks, folks. Bye now.

Stay connected!

Join our community and get new episodes every other Tuesday!

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

What Dan Meyer says about math teaching

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

– Dan Meyer

Meet the guests

Dan Meyer

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

Bethany Lockhart Johnson

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

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A graphic with the text "Math Teacher Lounge with Bethany Lockhart Johnson and Dan Meyer" on colored overlapping circles.

About Math Teacher Lounge: The podcast

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

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

You might also like:

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Math games and manipulatives for online and remote learning.

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Desmos Classroom Grades 3–12

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Welcome, Amplify Reading families

Welcome to the Amplify Reading Caregiver hub. We are here to support you and your child with all things Amplify!

Para acceder a este sitio en español haga clic aquí.

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Welcome to Amplify Reading!

Welcome to Amplify Reading! We know how important—and challenging—it is for parents and caregivers to support kids’ remote learning. That’s why we are here to support you. On this site, you’ll find valuable information and resources to help you guide your child as they use Amplify Reading.

What is Amplify Reading?

Amplify Reading provides your child with the opportunity to learn and practice literacy skills within an engaging story world that adapts to each student as they move through the program. Your child can learn with Amplify Reading during school hours and independently at home.

Learn about Amplify Reading in middle school here.

What is my role in Amplify Reading?

Ensuring your child can log in independently

We recommend that caregivers assist their children by helping them log in at home. Below, you’ll find a step-by-step video on how to log in to the program with the login information or QR code provided by your child’s teacher.

Note that your child may log in via Clever or another platform. Reach out to your child’s teacher if you’re unsure or did not receive login information.

Watch the video below for an overview of how to get your elementary schooler started with Amplify Reading:

How to get your child started with Amplify Reading

Tips

  • Practice logging in with your child consistently until they can log in independently.
  • Keep your child’s login information in a single place so they know where to go if they forget it!

Giving your child the time and space to play independently

Amplify Reading is personalized to your child’s needs, so you do not need to assist students with their learning. Once your child can log in, they’re ready to start using the program. Students will need headphones or to be in a quiet place when they play.

Some students will begin with a placement Quest. Their answers help the Amplify Reading program match them to the best content and games for their reading skill levels. To ensure the most accurate placement, it is important that your child complete each activity independently. If your child needs help understanding the instructions, you can refer to this instruction guide. And it is always helpful to encourage your child to have fun and do their best!

We recommend reviewing this Protecting Kids Online article by the Federal Trade Commission addressing digital safety.

Joining in on the fun!

Each child in grades K–3 has a customizable companion called a Curioso. Print these Curioso Coloring Pages so your child can design their own!

Students in grades K–5 encounter eReader texts along their adaptive learning path. These texts give students the opportunity to transfer the skills they practice in the games to actual texts. Consider watching the following read aloud videos with your child for some extra exposure to the texts and skill transfer activities, as well as opportunities for discussion.

Hedgehog and Fox – Fox keeps taunting Hedgehog that he can beat him in a race. But Hedgehog may have a trick up his sleeve that Fox doesn’t know about…

Lifting Up the Sky – A Snohomish legend that explains how the constellations came to be in the sky. 

The Best Present – Anjali and Anuj try to find Mom the best birthday present while they’re at a baseball game. What will they choose? 

The Big Ride – Rosa and her dad are about to go on a roller coaster, but Rosa is a little frightened. Will she enjoy it after all? 

The Busy Wolf – The Big Bad Wolf wasn’t trying to be bad, he was just too busy! Join us in Bookerton to hear this spin on classic fairy tales and engage with embedded skill practice and discussion prompts!

The Day They Became Americans – Three students who were born in different countries come together on a special day when they become American citizens.

Knowing where to go for help

Whether you have questions about your technology or want to know more about the program, Amplify’s Support Team is here to help!

Contact Support via telephone at (833) 97-Care-8 (833-972-2738) or caregiver@amplify.com.

Our support hours are Monday through Friday, 7 a.m. to 9 p.m. ET.

Frequently asked questions for caregivers

We recommend that your child use Amplify Reading two to three times per week for a weekly total of 30-45 minutes. However, your child’s teacher might have different daily or weekly recommendations.

If your child is having trouble with the content, Amplify Reading will adapt to provide your child with additional support and instructions within the game. For this reason, it is not recommended that caregivers help their child. While this can be hard, the program is carefully designed to provide the level of support your child needs to move forward.

If your child is having any technical challenges, please contact Amplify customer support at (833) 972-2738 or caregiver@amplify.com from Monday – Friday, 7 a.m. – 9 p.m. EDT and Saturday – Sunday from 10 a.m. – 6 pm. EDT.

We’re excited that you want to learn more! This recorded webinar for caregivers provides a deeper dive on the program and how you can support your child.

Rethinking reading comprehension

Collage of educational web pages and images featuring children reading, book graphics, and the title “Understanding Comprehension: The Heartbeat of Literacy,” highlighting interactive lessons and free teaching resources.

Have you ever listened to a student read aloud fluently about something—say, the life cycle of sea turtles—only to discover afterward that they couldn’t explain a single thing about…the life cycle of sea turtles? It’s a familiar classroom moment, and it reveals how easy it is to misunderstand what comprehension really is.

Comprehension is often framed only as the product of reading: the answers students give when asked to find the main idea, identify a theme, or summarize a passage.

But the Science of Reading tells us that comprehension is more than an outcome. Comprehension is also a dynamic process that unfolds as readers move through a text, powered by the interactions among words on the page and the knowledge and reasoning they bring to it. That’s why we like to think of it as the heartbeat of literacy.

Why comprehension is both product and process

For decades, much of classroom instruction has focused on language comprehension products: the demonstrations of understanding that happen after reading. Those are important, but they don’t tell the whole story.

That’s because products depend on processes. If students do not build a coherent mental model of what they’re reading—while they’re reading—they may succeed at reading, but not at comprehending.

This is the missing link that researchers like Hugh Catts, Ph.D., and Jane Oakhill, Ph.D., have revealed: Comprehension isn’t something readers suddenly have at the end of a passage. It’s also something they do all along the way.

What comprehension processes look like

Comprehension processes are the mental moves students make to construct meaning as they read. All students need explicit instruction and practice in order to learn to do this automatically. Some of the most important processes include:

  • Inference-making: Filling in gaps the author leaves unsaid. If a story says “Carlos forgot his umbrella and got wet,” readers must supply the missing piece: It rained.
  • Anaphora resolution: Figuring out who pronouns such as he or she refer to. For instance, in a passage where “Charmaine passed the ball to Kendra, and she scored,” not all readers may track that she refers to Kendra.
  • Monitoring meaning: Noticing when something doesn’t make sense and rereading to fix it. Think of a student breezing through a science lab procedure but not realizing they’ve misunderstood a key step.
  • Recognizing connectives: Using words like because, however, or meanwhile to understand how ideas fit together in a text about history, math, or literature.
  • Visualizing: Building a mental picture—whether that’s of how a caterpillar becomes a butterfly, or how a character’s feelings shift across a story.

When these processes don’t happen, comprehension breaks down—even for students who can decode fluently. That’s why teaching comprehension can’t mean just assigning comprehension questions. It has to mean teaching students how to think with text in real time.

The role of knowledge and writing

Processes don’t exist in isolation. They depend on, and are strengthened by, what students already know and what they can express in writing.

  • Knowledge: The more background students bring to a text, the easier it is for them to make inferences and connect ideas. A child who already knows a little about baseball will understand a passage about a pitcher’s strategy much more readily than one encountering the game for the first time.
  • Writing: Writing about reading reinforces comprehension. When students summarize a biography in their own words, draft a response to a novel, or synthesize ideas from multiple sources, they are practicing the very processes—like making connections and organizing ideas—that skilled readers rely on.

This interplay—reading feeding knowledge, knowledge feeding comprehension, writing reinforcing both—creates a cycle of literacy growth that goes far beyond the end-of-text quiz.

Rethinking classroom practice

Working on individual comprehension skills can help in the short term. But long-term literacy success—for all students—requires explicit instruction and practice in all the comprehension processes needed to build comprehension products.

So what does it mean to teach comprehension as a process, not just a product?

Weaving effective instruction in comprehension strategies into everyday literacy work. A few examples:

  • Model your thinking. Pause mid-reading to ask, “Who does she refer to here?” or “That didn’t make sense—let’s go back.”
  • Highlight connectives. Teach words like although or consequently explicitly, showing how they signal relationships between ideas.
  • Promote monitoring. Encourage students to ask themselves, “Does this make sense?” and to reread when it doesn’t.
  • Build knowledge deliberately. Use content-rich texts in science, history, and the arts to give students the context they need for stronger comprehension.
  • Pair reading with writing. Even short written responses—“Why do you think the character acted that way?”—help solidify understanding and make comprehension processes visible.

These practices shift comprehension instruction from an after-the-fact check to an in-the-moment skill set students can carry into every subject.

Want to dig deeper?

Expanding our understanding of comprehension as both product and process is one of the most important shifts the Science of Reading has brought to literacy instruction. It reminds us that comprehension isn’t just a mysterious outcome at the end of reading—it’s the ongoing work of making meaning along the way.

To help educators explore this shift, we’ve created the new Science of Reading: Comprehension 101 bundle. These resources break down the research and provide strategies you can use right away. When we teach comprehension as the ongoing process it truly is, we keep the heartbeat of literacy strong for every reader.

Inside, you’ll find the following resources:

  • Our anchor ebook: Understanding Comprehension: The Heartbeat of Literacy
  • Infographic: The missing link in reading comprehension
  • Ebook: Knowledge, Reading, and Writing: The Secret Recipe for Literacy Success
  • Podcast: “Science of Reading Essentials: Comprehension” episode and listening guide
  • Webinar: Rethinking Reading Comprehension: Reflections on Hugh Catts’ and Jane Oakhill’s Research

Is this literacy program true to the Science of Reading?

We’ll show you how to tell.

We know how children learn to read. We know how to teach children to read. That’s all thanks to the Science of Reading.

As you likely know, the Science of Reading refers to the pedagogy and practices proven by extensive research to effectively teach children how to read. Learning to read is not innate, but it can be taught—and science tells us how.

That’s why it’s so important to use literacy programs that are truly grounded in the Science of Reading.

But how can you tell which ones are and which ones are not? It can be confusing. Some programs may be partially aligned with the Science of Reading, or use bits and pieces of pedagogy based on it.

But true Science of Reading programs have it in their DNA. And we can show you how to find them.

Explicit and systematic structure

One of the research-based frameworks used in the Science of Reading is the Simple View of Reading.

According to the Simple View, two cognitive capacities are needed for proficient reading: (1) understanding the language (comprehension) and (2) recognizing words in print (decoding).

A true Science of Reading program is built from the start for students to develop these skills. And it’s built to do so in a developmentally appropriate way. That is, program structure matters, too.

Some programs may add supplemental Science of Reading activities to address these needs. Some have been modified to do the same. But that’s not the same as a comprehensive program designed to develop them, explicitly and systematically. That kind of program is truly rooted in the Science of Reading.

The importance of knowledge building

Again, reading depends on both decoding and comprehension. For many years, classroom observation and received wisdom suggested that comprehension should be taught as its own set of skills, while allowing decoding to develop more naturally.

But cognitive science research now shows that early literacy skills are best built deliberately—on a foundation of knowledge. In fact, knowledge-building is not a result of reading and comprehension, but a prerequisite for it. The more you know, the faster you learn.

Some programs rely on the strategy of activating students’ prior knowledge. But not all kids have the same prior knowledge. Diverse backgrounds and experiences mean that not all kids will come to school with the same information about, let’s say, baseball, or the beach.

So a true Science of Reading program will expose students to a diverse array of new topics spanning history, science, and literature. Those topics will be organized in an intentional sequence that builds knowledge coherently within and across grades. And they will make reading accessible to all students.

The foundational skills readers need

Some programs focus on phonemic awareness and phonics. Those are foundational skills, but they’re not all of the foundational skills. The Science of Reading shows that five components are fundamental to reading: phonics, phonemic awareness, vocabulary, fluency, and comprehension.

Students require instruction in all five in order to learn to recognize words and use that knowledge for reading and writing.

As students develop these foundational skills, they develop automaticity. With practice, they are able to recognize words more and more quickly and move from decoding to comprehension.

A true Science of Reading program will include all foundational skills and will deliver the regular practice students need to become automatic decoders.

How Amplify CKLA is built on the Science of Reading

The Science of Reading is in Amplify CKLA’s DNA. The program was built from the ground up:

  • On the Simple View of Reading.
  • To deliver knowledge on an even playing field for all students.
  • With texts that develop all five foundational literacy skills.

With CKLA, students build knowledge through diverse and enriching content domains. They refine foundational skills through explicit, systematic, phonics-focused instruction. And they do it all in one program, with a detailed road map that guides teachers on every step of the reading journey.

Listen to the podcast now

Additional resources

5 ways to shift from balanced literacy to the Science of Reading

MTSS vs. RTI in literacy instruction: What’s the difference?

State-approved | Grades 6–8 and Algebra 1

Amplify Math for Oregon

Dear Oregon math educators,

We’re honored that you’re reviewing Amplify Math for use with your middle school students.

We’re confident you’ll find this Oregon-approved program to be a powerful tool for getting all your students talking and thinking about math concepts together.

On this site, you’ll find a variety of resources to guide you in your review, including demo account access. We look forward to meeting you and showing you what makes this program so unique.

Kristen Rockstroh
Oregon Account Executive

A miniature model of a yellow bus with a

Virtual Caravan Stop

Amplify Math isn’t your traditional core math program. It’s different to make a difference—and the results are simply undeniable. Watch our virtual caravan presentations to the right and learn about the research-based approaches built right into this high-quality solution. Plus, see how Amplify Math brings student-centered learning to life for students in grades 6–8.

What it is

Amplify Math is a brand-new program based on the highly-rated Illustrative Mathematics curriculum IM K–12 Math™️.

It’s designed around the idea that a core math curriculum needs to serve 100 percent of students in accessing grade-level math every day. To that end, Amplify Math delivers:

  • Engaging, discourse-rich math lessons that are easier to teach.
  • Flexible, social problem-solving experiences both online and off.
  • Real-time insights, data, and reporting that inform instruction.
amplify math middle schoolers in classroom
An illustration of a diverse group of people, including a person in a wheelchair, viewing a large, displayed fossil in a colorful museum setting.

Program Guide

Illustration of people playing various sports, including baseball, soccer, basketball, tennis, and bowling, on a multicolored court.

Scope and sequence

A diagram on a tablet screen shows a person holding multiple leashes, each attached to a different colored dog. Text describes a walking challenge activity.

Taking the IM content further

How it works

Amplify Math delivers the instructional power of student-centered learning packaged in a lesson format that is easy and manageable. With easy-to-follow instructional supports, implementing a problem-based program becomes more effective and enjoyable for both you and your students. Paired with our digital experience, math class becomes fun and dynamic, with plenty of opportunities for students to talk through their reasoning, work with their peers, and gain new understandings.

A laptop displays geometric shapes in a teaching demo. Nearby, a separate document with text and diagrams is visible.
A person with glasses stands at a drafting table, reviewing architectural drawings with red geometric shapes, in an office with a desk, chair, and filing cabinet.

Lesson design

Illustration of penguins gathered around an easel displaying a colorful abstract painting, set against an icy landscape with icebergs and water in the background.

Access and equity

Two people in a gear-filled room; one wears scuba equipment, the other stands nearby. The room has outdoor gear, a tent, jackets, and a mountain poster on the wall.

Differentiation

Featuring Desmos and more

Laptop screen displaying an educational graphic about "relationships of angles" on the Mathematics Curriculum platform named Amplify Math by Desmos.

Desmos digital lessons

Imagine having more visibility into your students’ mathematical thinking. Now imagine students have access to this same information. With Amplify Math’s collaborative lesson interface and teacher dashboard, students can’t hide. What’s more, they have visibility into the thinking of their peers—exposing them to a wider variety of approaches to solving the same problem.

A computer screen shows a student response interface, displaying a comment explaining why a square is a type of rectangle.

Engaging student experience

Power-ups provide just-in-time support to help student strengthen pre-requisite skills before engaging in whole-class activities. Power-ups ensure all students have a chance to experience success in the day’s lesson even if they might be several years behind. Not teaching online? They’re available in the Teacher Edition, too.

A laptop screen displays a grid of class members' names with checkmarks and X symbols, indicating progress or completion status in an online learning platform.

Ready-to-teach lesson slides

Every lesson of Amplify Math includes ready-to-teach lesson slides complete with step-by-step teaching notes, suggested student and teacher responses, options for differentiating instruction, links to useful resources, and tips for supporting students through common trouble-spots. Teacher can also customize their lesson slides, adding their own flavor, flair, and favorite problems—enabling them to truly make the lesson their own.

A laptop screen displays an educational interface with a colorful geometric shape, shape options to choose from, and instructional text on the right side.

Presentation sync and student pacing

Being able to control what slides students see and when gives teachers the ability to control the pace of the lesson to suite the needs of the class. When Presentation Sync is turned on, students can access all the slides in the lesson. When it’s off, it ensures students’ screens follow the teacher’s. Teachers can also set a range of slides, which allows students to work at their own pace within the unlocked slides only.

A laptop displays an educational interface with a decimal lesson, pop-up notification, and navigation bar showing multiple open slides at the bottom.

Access demo

Ready to explore the program? Follow these simple instructions to access our program digitally.

  • Watch the video to the right or use this document to learn how to navigate our print and digital components.
  • Click the Access demo button.
  • Select Log in with Amplify.
  • Enter this username: t.ormath@tryamplify.net
  • Enter this password: AmplifyNumber1
  • Select your grade level.
  • Explore any of the six units.
Access Demo

Contact us

Support is always within reach. Our team is dedicated to supporting districts across Oregon and can be reached at any time by emailing HelloOregon@amplify.com or by calling us directly.

Kristen Rockstroh, M.Ed.

Account Executive

Districts under 4,700 students

(480) 639-8367

krockstroh@amplify.com

Fawn Nguyen

Math Specialist

(805) 328-1115

fnguyen@amplify.com

Lynne Kraus

Educational Consultant

(503) 989-3533

lkraus@amplify.com

A woman with shoulder-length brown hair smiles in front of a tree, wearing a white top.

Gregg Ritchie

STEM Specialist

(503) 312-7013

gritchie@amplify.com

Cassondra Kauppi

STEM Specialist

(503) 310-8798

ckauppi@amplify.com

State-approved | Grades 6–8 and Algebra 1

Amplify Math for Idaho

Dear Idaho math educators,

We’re honored that you’re reviewing Amplify Math for use with your middle school students.

We’re confident you’ll find this Idaho-approved program to be a powerful tool for getting all your students talking and thinking about math concepts together.

On this site, you’ll find a variety of resources to guide you in your review, including demo account access. We look forward to meeting you and showing you what makes this program so unique.

Yvonne Rhode and Kristen Rockstroh
Idaho Account Executives

A miniature yellow van with luggage on top is parked next to a small stop sign, with a blurred, colorful vehicle in the background. Text reads: "Your literacy journey stops here!.

Virtual Caravan Stop

Amplify Math isn’t your traditional core math program. It’s different to make a difference—and the results are simply undeniable. Watch our virtual caravan presentations to the right and learn about the research-based approaches built right into this high-quality solution. Plus, see how Amplify Math brings student-centered learning to life for students in grades 6–8.

What it is

Amplify Math is a brand-new program based on the highly-rated Illustrative Mathematics curriculum IM K–12 Math™️.

It’s designed around the idea that a core math curriculum needs to serve 100 percent of students in accessing grade-level math every day. To that end, Amplify Math delivers:

  • Engaging, discourse-rich math lessons that are easier to teach.
  • Flexible, social problem-solving experiences both online and off.
  • Real-time insights, data, and reporting that inform instruction.
amplify math middle schoolers in classroom
An illustration of a diverse group of people, including a person in a wheelchair, viewing a large, displayed fossil in a colorful museum setting.

Program Guide

Illustration of people playing various sports, including baseball, soccer, basketball, tennis, and bowling, on a multicolored court.

Scope and sequence

A diagram on a tablet screen shows a person holding multiple leashes, each attached to a different colored dog. Text describes a walking challenge activity.

Taking the IM content further

How it works

Amplify Math delivers the instructional power of student-centered learning packaged in a lesson format that is easy and manageable. With easy-to-follow instructional supports, implementing a problem-based program becomes more effective and enjoyable for both you and your students. Paired with our digital experience, math class becomes fun and dynamic, with plenty of opportunities for students to talk through their reasoning, work with their peers, and gain new understandings.

A laptop displays geometric shapes in a teaching demo. Nearby, a separate document with text and diagrams is visible.
A person with glasses stands at a drafting table, reviewing architectural drawings with red geometric shapes, in an office with a desk, chair, and filing cabinet.

Lesson design

Illustration of penguins gathered around an easel displaying a colorful abstract painting, set against an icy landscape with icebergs and water in the background.

Access and equity

Two people in a gear-filled room; one wears scuba equipment, the other stands nearby. The room has outdoor gear, a tent, jackets, and a mountain poster on the wall.

Differentiation

Featuring Desmos and more

Desmos digital lessons

Digital lessons should be powerful in their ability to surface student thinking and spark interesting and productive discussions. We’ve partnered with Desmos to bring this vision to life with our complete library of social, collaborative lessons powered by Desmos technology.

A laptop displays an educational program with a rocket simulation on the left and a graph of rocket launch trajectories versus time on the right.

Engaging student experience

Relevant content and interactive math tools create an intuitive and engaging student experience. Plus, working together in real time allows them to see that communicating their ideas and learning from each other are important parts of math class.

A diagram on a tablet screen shows a person holding multiple leashes, each attached to a different colored dog. Text describes a walking challenge activity.

Visibility into student thinking

Imagine having more visibility into your students’ mathematical thinking. Now imagine students have access to this same information. With Amplify Math’s collaborative lesson interface and teacher dashboard, students can’t hide. What’s more, they have visibility into the thinking of their peers—exposing them to a wider variety of approaches to solving the same problem.

A computer screen shows a student response interface, displaying a comment explaining why a square is a type of rectangle.

Pre-requisite skill building

Power-ups provide just-in-time support to help student strengthen pre-requisite skills before engaging in whole-class activities. Power-ups ensure all students have a chance to experience success in the day’s lesson even if they might be several years behind. Not teaching online? They’re available in the Teacher Edition, too.

A laptop screen displays a grid of class members' names with checkmarks and X symbols, indicating progress or completion status in an online learning platform.

Ready-to-teach lesson slides

Every lesson of Amplify Math includes ready-to-teach lesson slides complete with step-by-step teaching notes, suggested student and teacher responses, options for differentiating instruction, links to useful resources, and tips for supporting students through common trouble-spots. Teacher can also customize their lesson slides, adding their own flavor, flair, and favorite problems—enabling them to truly make the lesson their own.

A laptop screen displays an educational interface with a colorful geometric shape, shape options to choose from, and instructional text on the right side.

Presentation sync and student pacing

Being able to control what slides students see and when gives teachers the ability to control the pace of the lesson to suite the needs of the class. When Presentation Sync is turned on, students can access all the slides in the lesson. When it’s off, it ensures students’ screens follow the teacher’s. Teachers can also set a range of slides, which allows students to work at their own pace within the unlocked slides only.

A laptop displays an educational interface with a decimal lesson, pop-up notification, and navigation bar showing multiple open slides at the bottom.

Standards-level reports

Not only do our reports show progress toward standards mastery, they include detail on how students performed against the standard in the past and how many more encounters are yet to come. This feature alone helps teachers prioritize instruction and intervene with additional resources when necessary.

A computer screen displays a New York math skills tracking interface, highlighting standard 6.EE.C.9, with progress indicators and a class average score of 74% shown in a yellow pie chart.

Focus on math identify

Helping students develop strong, healthy, and flexible math identities is a cornerstone of Amplify Math. Throughout the program, students are taught that they themselves are mathematicians, that today’s math was largely shaped by a diverse range of mathematicians who deserve to be learned about, and that learning is never finished.

Illustration of a laptop displaying various colorful icons and graphics representing diverse professions and historical figures on its screen, emphasizing illustrative mathematics and desmos math concepts through its displayed content.

Access demo

Ready to explore the program? Follow these simple instructions to access our program digitally.

  • Watch the video to the right or use this document to learn how to navigate our print and digital components.
  • Click the Access demo button.
  • Select Log in with Amplify.
  • Enter the login credentials found on the unique login flyer provided. If no login flyer was provided, use the following credentials:
    • Username: t1.idahomath8@demo.tryamplify.net
    • Password: Amplify1-idahomath8
  • Click on any of the six units to explore.
Access demo

Contact us

Support is always within reach. Our team is dedicated to supporting districts across Idaho and can be reached at any time by emailing HelloIdaho@amplify.com or by calling us directly.

Woman with long, wavy brown hair wearing a navy blazer and bright pink blouse, smiling at the camera against a dark gray background.

Yvonne Rhode

Sr. Account Executive

Districts over 4,700 students

(480) 673-0019

yrohde@amplify.com

Portrait of a smiling woman with blonde hair, wearing a pink and white gingham shirt and stud earrings.

Kristen Rockstroh, M.Ed.

Account Executive

Districts under 4,700 students

(480) 639-8367

krockstroh@amplify.com

Smiling woman with shoulder-length brown hair stands in front of a tree, wearing a white top.

Fawn Nguyen

Math Specialist

(805) 328-1115

fnguyen@amplify.com

A middle-aged man with glasses, a mustache, and a goatee, wearing a light gray shirt and a black tie, posed against a plain white background.

Francis Ogata

Math Specialist

(916) 521-1467

fogata@amplify.com

Amplify Math for PXU

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Unleash the potential of knowledge building in language comprehension

Every child is capable of becoming a skilled reader. Every classroom can provide that opportunity and drive student success, through a content-rich literacy curriculum.

We’ll show you how.

The relationship among knowledge, language comprehension, and literacy skills

The Science of Reading shows that early literacy skills are best built deliberately, on a foundation of knowledge. Knowledge building is not a result of reading and language comprehension; it’s a vital prerequisite and a fundamental part of the process. When students read a text on a familiar topic–event a tough one–they’re more likely to comprehend it. In other words: The more you know, the more, and faster, you learn.

Learn more

Why is building knowledge so important?

Background knowledge—coupled with comprehension strategies—fuels students’ capacity to understand texts, answer questions, and grapple with ideas.

Students bring different bodies of knowledge into school. Some are whizzes at baseball or mechanics; some visit museums, have tons of books at home, and know the word “yacht.” That means their comprehension of a given topic or text will correlate with what they already know. But what happens when they learn the same content together? A recent independent study showed that a knowledge-building literacy curriculum in elementary school raised test scores and helped eliminate income-based opportunity gaps.

It is our responsibility as educators to bring the world into the classroom for all students and help them grow their literacy skills.

Literacy instruction has typically focused on decontextualized skills—finding the main idea, making inferences—before, or instead of, the content of texts and resources that students engage with. Many teachers may have been trained to “put the skills and strategies in the foreground, like a skill of the week, then bring in texts that they find suited for demonstrating the skill or strategy,” says Natalie Wexler, author of The Knowledge Gap. But science shows that harnessing skills and strategies to content is actually more effective. That is, using a coherent and systematic progression of content that helps knowledge and skills build on each other has been shown to result in better student outcomes.

“The advantage of a coherent curriculum is that the topics it covers can build on one another, with one unit providing a foundation of knowledge for others that come later, both throughout a single school year and across grade levels,” according to Barbara Davidson and David Liben. Along the way, students also cultivate curiosity and confidence, accelerating the entire process. So the more you know, the faster you learn—and that lasts a lifetime.

Getting started with knowledge based learning

Effective literacy instruction must celebrate the experiences students have but not assume each student has specific pieces of prior knowledge. Rather, it must build knowledge in the classroom. Students (and teachers) need curricula that expose them to a diverse array of new topics—spanning history, science, literature, culture, and the arts—in an intentional sequence that builds a rich and common knowledge base from which all students can draw.

Want to get started now? We’ve got an ebook to help you out.

Download now

Professional development to support your shift to the Science of Reading

Ignite literacy transformation with Amplify’s Science of Reading: The Learning Lab—an inspiring three-course series.

  • Course 1: Foundations to the Science of Reading
  • Course 2: Advanced Topics in the Science of Reading: Assessment and Reading Difficulties
  • Course 3: Applied Structured Literacy

Crafted to the standards of the International Dyslexia Association, this self-paced online series provides unparalleled, research-backed instruction. Explore enriching activities, curated resources, and learn from Susan Lambert, chief academic officer and host of Science of Reading: The Podcast.

The best investment you can make is in knowledge, and the returns are priceless.

Learn more about the online courses or request a quote!

Explore the course

Tap into individual online course seats.

Purchase a seat

Before and after knowledge building: What knowledge looks like in the classroom

Making connections to what students already know

Before: Teachers “activate” students’ prior knowledge before reading.
After: Teachers build students’ knowledge explicitly for students to leverage later as background knowledge.

Developing reading comprehension

Before: Teachers focus instruction on comprehension strategies (e.g., “strategy of the day” instruction).
After: Teachers focus on content and use comprehension strategies to help students gain knowledge of that content.

Introduction of new topics and information

Before: Students learn about content-area topics individually in disconnected units of instruction.
After: Students learn topics through a coherent approach that builds knowledge within and across units of instruction.

See the remarkable difference shifting to a knowledge-building approach can make in your school. Our enlightening flyer guides you through a before-and-after journey, illustrating the profound impact of knowledge building on learning. Check it out!

What to look for in a knowledge-building literacy curriculum:

It develops content knowledge.

The program should immerse students in a given domain for weeks—that’s how they acquire academic knowledge. The content should also develop from grade to grade, so that students learning about Renaissance art can reflect on and compare to what they previously learned about art in the Middle Ages.

Read More 

It leverages read-alouds for exposure to complex language.

In early grades, students’ listening comprehension outpaces their reading comprehension. Interactive read-alouds can be used to expose students to academic language and rich vocabulary. With background knowledge, vocabulary words are “the main support beams in the comprehension house.” This approach also helps teachers introduce students to new information and experiences—in a supportive and interactive environment.

Read More 

It introduces students to a wide variety of topics and content.

A content-rich curriculum exposes students to broad knowledge over time in a systematic, cumulative way, which is more effective than spending several months on just one topic. And while that’s happening, students are participating in enriching discussions and writing activities so they can further interact with the content, promoting deeper engagement and supporting retention of both the knowledge and associated vocabulary.

Read More 

It builds both knowledge and foundational skills.

Knowledge building is just one component of literacy development. A content-rich curriculum that helps students build both knowledge (language comprehension) and skills (word recognition) takes into account both sides of the Reading Rope, giving students everything they need to build the foundation for a lifetime of literacy success. Instead of learning to read so they can read to learn, students who use a content-rich curriculum learn to read and learn about the world at the same time, enabling them to understand what they’re reading.

Read More 

“Shifting from balanced literacy to a knowledge-building curriculum was a huge change for us. [Amplify] CKLA systematically builds knowledge from unit to unit and across grade levels. Students are constantly making connections to what they learned earlier in the year. We are excited to see the connections that they make after they have had a few years of the program. Student engagement has significantly increased. They are excited about the topics that they are learning. I never would have thought that students would find the War of 1812 or ancient Greek civilizations fascinating, but they do!”

—Christina Pina, Instructional Data Specialist, Chicopee Public Schools, Chicopee, MA

Winter Wrap-Up, Episode 2

Overcoming adversity in the science classroom: A conversation with Joe McCormick

In this episode, Eric sits down with Joe McCormick, director of engineering at SplitSpot. Joe shares about the experience of losing his central vision in high school and the transition into college at Harvard. Eric and Joe chat about self-advocacy within the classroom, and scaffolds that worked for Joe as he learned how to navigate the world with his disability. Eric also learns about beep baseball, the adapted national pastime for the blind and visually impaired, and the importance of its community in Joe’s journey to become an engineer. Lastly, Joe talks about accessibility tools, college acceptance, and how to motivate students to love computer science.

A smiling man with short hair against a patterned background of colorful shapes, symbolizing overcoming adversity, framed within a white circle.

Meet Our Guest(s):

A man with short hair smiles at the camera outdoors, green leaves and branches behind him. A blue beaker and decorative lines frame the image, highlighting Joe McCormick’s science connections.

Joe McCormick

Joe McCormick is the Director of Engineering at SplitSpot. In his senior year of high school, Joe started to lose his vision due to a rare genetic condition, Leber Hereditary Optic Neuropathy (LHON). Rather than letting that stop him, Joe went on to study Computer Science at Harvard University, advocating for the support he needed. Joe is heavily involved in beep baseball, an adapted national pastime for the blind and visually impaired. He currently plays for the Boston Renegades in his spare time. He lives in Massachusetts with his wife and son.

Meet our host: Eric Cross

Eric Cross is a seventh grade science/technology teacher, grade level lead, and digital learning innovator for Albert Einstein Academies, International Baccalaureate schools. He is also an adjunct professor of learning and technology at the University of San Diego and a Google certified innovator. Eric earned a bachelor’s degree from Azusa Pacific University and a Master of Education from the University of San Diego. He had 17 years of experience working with at-risk youth and underserved populations before becoming a middle school teacher. By building relationships with students, colleagues, and the community, he has become an empowered leader in and out of the classroom. Through meaningful learning experiences centered around student agency, STEM has become accessible to students through highly engaging lesson design, thoughtful integration of digital tools, and pedagogy that engages students from all backgrounds.

Transcripts and additional resources:

Join the conversation in the Science Connections Facebook community
Transcript

Quotes

Being disabled, it’s like trying to find someway to be flexible and find some workaround, because there’s always some way to get there, it’s just going to be a little bit different and little out of the box.

– Joe McCormick

Stay connected

Four women sitting at a table in a meeting, with one standing and presenting on the topic of "why is science so important," all engaged in discussion.

Season 1, Episode 7

Overcoming adversity in the science classroom: A conversation with Joe McCormick

In this episode, Eric sits down with Joe McCormick, director of engineering at SplitSpot. Joe shares about the experience of losing his central vision in high school and the transition into college at Harvard. Eric and Joe chat about self-advocacy within the classroom, and scaffolds that worked for Joe as he learned how to navigate the world with his disability. Eric also learns about beep baseball, the adapted national pastime for the blind and visually impaired, and the importance of its community in Joe’s journey to become an engineer. Lastly, Joe talks about accessibility tools, college acceptance, and how to motivate students to love computer science.

A smiling man with short hair against a patterned background of colorful shapes, symbolizing overcoming adversity, framed within a white circle.

Meet Our Guest(s):

A man with short hair smiles at the camera outdoors, green leaves and branches behind him. A blue beaker and decorative lines frame the image, highlighting Joe McCormick’s science connections.

Joe McCormick

Joe McCormick is the Director of Engineering at SplitSpot. In his senior year of high school, Joe started to lose his vision due to a rare genetic condition, Leber Hereditary Optic Neuropathy (LHON). Rather than letting that stop him, Joe went on to study Computer Science at Harvard University, advocating for the support he needed. Joe is heavily involved in beep baseball, an adapted national pastime for the blind and visually impaired. He currently plays for the Boston Renegades in his spare time. He lives in Massachusetts with his wife and son.

Meet our host: Eric Cross

Eric Cross is a seventh grade science/technology teacher, grade level lead, and digital learning innovator for Albert Einstein Academies, International Baccalaureate schools. He is also an adjunct professor of learning and technology at the University of San Diego and a Google certified innovator. Eric earned a bachelor’s degree from Azusa Pacific University and a Master of Education from the University of San Diego. He had 17 years of experience working with at-risk youth and underserved populations before becoming a middle school teacher. By building relationships with students, colleagues, and the community, he has become an empowered leader in and out of the classroom. Through meaningful learning experiences centered around student agency, STEM has become accessible to students through highly engaging lesson design, thoughtful integration of digital tools, and pedagogy that engages students from all backgrounds.

Transcripts and additional resources:

Join the conversation in the Science Connections Facebook community
Transcript

Quotes

Being disabled, it’s like trying to find someway to be flexible and find some workaround, because there’s always some way to get there, it’s just going to be a little bit different and little out of the box.

– Joe McCormick

Stay connected

Four women sitting at a table in a meeting, with one standing and presenting on the topic of "why is science so important," all engaged in discussion.