Given the robust nature of learning sciences research, this website is best viewed on tablets and computers. A small screen experience is coming in the future.
On June 22, 2021, we will launch updated strategies for the Math PK-2 model, as well as additional updates to the Navigator that highlight equity, SEL, and culturally responsive teaching. To learn more, visit our Site Updates (available in the "About" menu at the top of any page).
Hover to see how factors connect to Math Communication. Then click connected factors to explore strategies related to multiple factors.
Language and literacy skills support many aspects of math problem solving. Additionally, students need advanced language skills to understand and communicate about math in classroom discussions. Students with stronger language skills are more likely to experience better math outcomes.
Many of the language skills that are critical for early reading, writing, and math continue to be important for math success in later grades. These include Vocabulary, Phonological Processing, and Verbal Reasoning, which support a variety of math outcomes. Accordingly, students with dyslexia, a learning disability that typically involves challenges with phonological processing and verbal Working Memory, may also have difficulties in mathematics.
Additionally, as students get older, they must be able to use discussion skills to engage with peers and teachers to explain how they solved a problem and comment on other methods. These skills also include justifying their approach and asking questions of their peers. Math Learning Environments that encourage this type of Math Communication improve students' math learning across student populations, encouraging equity and positive student Emotions.
Visit the literacy model to explore many of these language-related Factors.
Teachers support language development by using and providing vocabulary and syntax that is appropriately leveled (e.g., using simple sentences when introducing complex concepts).
Developing empathy in educators and in learners is an iterative process that requires taking the time to understand and honor others' perspectives.
Checking in with learners, or taking the time to talk with individual learners about their experiences or goals, is important for fostering a positive classroom environment.
Providing math tasks with high cognitive demand conveys high expectations for all students by challenging them to engage in higher-order thinking.
As students solve problems in a group, they learn new strategies and practice communicating their mathematical thinking.
Communication boards are displays of graphics (e.g., pictures, symbols, illustrations) and/or words where learners can gesture or point to the displays to extend their expressive language potential.
CRA is a sequential instructional approach during which students move from working with concrete materials to creating representational drawings to using abstract symbols.
Students activate more cognitive processes by exploring and representing their understandings in visual form.
Knowing the language of math is critical because students must use this language to understand math concepts and determine calculations needed.
A first step to supporting learners is truly understanding who they are.
Analyzing incorrect worked examples is especially beneficial for helping students develop a conceptual understanding of mathematical processes.
When students explain their thinking process aloud with guidance in response to questions or prompts, they recognize the strategies they use and solidify their understanding.
Flexible grouping is a classroom practice that temporarily places students together in given groups to work together, with the purpose of achieving a given learning goal or activity.
As students walk through stations working in small groups, the social and physical nature of the learning supports deeper understanding.
Adding motions to complement learning activates more cognitive processes for recall and understanding.
In guided inquiry, teachers help students use their own language for constructing knowledge by active listening and questioning.
Spending time with new content helps move concepts and ideas into Long-term Memory.
Learning about students' cultures and connecting them to instructional practices helps foster a sense of belonging and mitigate Stereotype Threat.
As students work with and process information by discussing, organizing, and sharing it together, they deepen their understanding.
Math centers support learner interests and promote the development of more complex math skills and social interactions.
Rhyming, alliteration, and other sound devices reinforce math skills development by activating the mental processes that promote memory.
When students have meaningful conversations about math and use math vocabulary, they develop the thinking, questioning, and explanation skills needed to master mathematical concepts.
By talking through their thinking at each step of a process, teachers can model what learning looks like.
Teachers sharing math-to-self, math-to-math, and math-to-world connections models this schema building.
Instruction in multiple formats allows students to activate different cognitive skills to understand and remember the steps they are to take in their math work.
Using multiple methods of assessment can help educators gain a comprehensive understanding of learner progress across a wide range of skills and content.
Visual representations help students understand what a number represents as well as recognize relationships between numbers.
Connecting information to music and dance can support Short-term and Long-term Memory by engaging auditory processes, Emotions, and physical activity.
Having students teach their knowledge, skills, and understanding to their classmates strengthens learning.
Project-based learning (PBL) actively engages learners in authentic tasks designed to create products that answer a given question or solve a problem.
When teachers connect math to the students' world, students see how math is relevant and applicable to their daily lives.
Students deepen their understanding and gain confidence in their learning when they explain to and receive feedback from others.
Providing space and time for students to reflect is critical for moving what they have learned into Long-term Memory.
Math games and manipulatives for vision differences support math development for learners with visual needs.
Children's literature can be a welcoming way to help students learn math vocabulary and concepts.
Selecting culturally responsive materials, including multicultural and diverse resources, is critical for supporting all students.
When students monitor their comprehension, behavior, or use of strategies, they build their Metacognition.
Sentence frames or stems can serve as language support to enrich students' participation in academic discussions.
When students create their own number and word problems, they connect math concepts to their background knowledge and lived experiences.
Transforming written text into audio activates different parts of the brain to support learning.
Students deepen their math understanding as they use and hear others use specific math language in informal ways.
Translanguaging is a flexible classroom practice enabling students to listen, speak, read, and write across their multiple languages or dialects, even if the teacher does not have formal knowledge of these additional languages.
Providing visuals to introduce, support, or review instruction activates more cognitive processes to support learning.
Visual supports, like text magnification, colored overlays, and guided reading strip, help students focus and properly track as they read.
Wait time, or think time, of three or more seconds after posing a question increases how many students volunteer and the length and accuracy of their responses.
A word wall helps build the Math Communication and vocabulary skills that are necessary for problem solving.
Analyzing and discussing solved problems helps students develop a deeper understanding of abstract mathematical processes.
Writing that encourages students to articulate their understanding of math concepts or explain math ideas helps deepen students' mathematical understanding.
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This is our homepage. You can access many of the features of the Navigator here, and learn more about how learner variability intersects with topics in education and learning. To start, select a content area – we call them Learner Models – to visit a factor map.
Factor maps show research-based concepts, "factors," that likely impact learning. They are organized into four categories: Learner Background, Social and Emotional Learning, Cognition, and Content Area. The map is interactive. Move your cursor over a factor to see connected factors. Select any factor to visit its summary page. We'll look at factor summary pages next.
This is a factor summary page. It provides a brief definition and review of the factor, a factor connections diagram, additional resources, and strategies that support this factor. On the strategy card, the multi-colored boxes show all the factors that it supports. Select a strategy to visit its summary page.
Strategy summary pages have an overview, information about using the strategy in different learning environments, resources of interest, the factors this strategy supports, and related strategies you can explore. To view all the strategies in a content area, use the strategies tab at the top of the page. We'll look at all the Strategies for this learner model next.
The strategy page shows ALL of the strategies for that learner model. You can select factors of interest for you or your learners, and it will narrow the strategies to only those that match all of the factors selected. This makes it easy to find key strategies to better design for learner variability. Again, select the strategy name to visit its summary page. Use the plus signs on each strategy card to add a strategy to a workspace. We'll explore those next.
The “Tools & Workspaces” tab on the navigation bar or the “My Workspaces” button on the account menu takes you to a page that shows your workspaces. There are two tabs on the My Workspaces page: a Workspaces tab and a Reports tab. The Workspaces tab lists workspaces you can personalize and update. You can create new sections, move cards between sections, add annotations, share with collaborators, and write reflections. The second tab, "Reports", are a kind of workspace created through the Instructional Design Tool or the Product Assessment Tool and have fewer personalization options.
There are three, step-by-step tools you can access on the Navigator to help make workspace or a workspace report. The Learner Centered Design Tool has four steps and helps you create a workspace. First, enter basic information and select a content area of interest. Second, select a few factors that you want to focus on. Third, review connected factors you may not have considered. Note – you don't have to select any extra factors on this step if you don’t want to. The fourth and final step, review and select strategies that you want to use, and save them to a workspace.
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Learner variability is the recognition that each learner is a unique constellation of strengths and challenges that are interconnected across the whole child. Understanding these connections and how they vary according to context is essential for meeting the needs of each learner.
It disrupts the notion of a one-size-fits all education. Understanding learner variability helps educators embrace both students’ struggles and strengths as we connect practice to uplifting the whole learner.
Throughout the site, we talk about "factors" and "strategies." Factors are concepts research suggests have an impact on how people learn. Strategies are the approaches to teaching and learning that can be used to support people in how they learn best.
Use the Learner Centered Design Tool to build a workspace. Go to Learner Centered Design Tool.
Or, create a new blank workspace for your product or project.
Use one of the guided tools to build a workspace.
Or, create a new blank workspace for your product or project.
Make a copy of this workspace.
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On this page, using your heatmap, you will be asked to select factors to further explore, and then select new strategies you might incorporate into upcoming instruction. Once done, click “Show Summary" to view your Design Summary Report.
On this page, using your heatmap, you will be asked to select factors to further explore, and then select new strategies you might incorporate into upcoming instruction. Once done, click “Show Report” to view your Design Summary Report.
By selecting "Show Report" you will be taken to the Assessment Summary Page. Once created, you will not be able to edit your report. If you select cancel below, you can continue to edit your factor and strategy selections.
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Learner variability is the recognition that each learner is a unique constellation of strengths and challenges that are interconnected across the whole child. Understanding these connections and how they vary according to context is essential for meeting the needs of each learner. It embraces both students’ struggles and strengths. It considers the whole child.
Throughout the site, we talk about "factors" and "strategies." Factors are concepts research suggests have an impact on how people learn. Strategies are the approaches to teaching and learning that can be used to support people in how they learn best.
The Learner Variability Navigator is a free, online tool that translates the science of learner variability into factor maps and strategies that highlight connections across the whole learner. This puts the science of learning at teachers' fingertips, empowering them to understand their own practice and support each learner.
