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 Home Learning Environment. Then click connected factors to explore strategies related to multiple factors.
A student's Home Learning Environment is the environment parents and caregivers provide to help learners gain early academic skills. Children can develop math skills before starting school through both direct math teaching and talk with caregivers, as well as indirectly through playing math-related games. This early exposure to language and numeracy can lead to greater arithmetic fluency and success in school and generally promotes cognitive processing. Providing extra classroom supports and resources for families that strengthen the Home Learning Environment can help create an equal foundation for all students.
The Home Learning Environment is critical for growth in early math skills before a child enters kindergarten. The Home Learning Environment involves many aspects of math:
The Home Learning Environment is closely related to the Home Literacy Environment, as the quality of reading materials and discussion also impacts early attitudes towards learning and math acquisition.
Building with blocks is ideal for promoting early geometric and Spatial Skills.
Project-based learning (PBL) actively engages learners in authentic tasks designed to create products that answer a given question or solve a problem.
Free choice supports learner interests and promotes the development of more complex social interactions.
Math games use numbers and Spatial Skills, allowing students to practice many math skills in a fun, applied context.
Imagining allows students to step back from a problem or task and think about it from multiple angles.
As students solve problems in a group, they learn new strategies and practice communicating their mathematical thinking.
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.
Teaching students through guided play encourages them to take an active role in their learning and supports the development of a broad array of cognitive skills.
When students have meaningful conversations about math and use math vocabulary, they develop the thinking, questioning, and explanation skills needed to master mathematical concepts.
Students deepen their understanding and gain confidence in their learning when they explain to and receive feedback from others.
Students develop their skills by listening to and speaking with others in informal ways.
Rhyming, alliteration, and other sound devices reinforce math skills development by activating the mental processes that promote memory.
Easy access to seeing the relationships between numbers promotes number sense as students see these connections repeatedly.
A word wall helps build the mathematical vocabulary and Language Skills that are necessary for problem solving.
In explicit number naming, the structure of the number name labels the number in Place Value order and clearly states the quantity.
Thinking of and about patterns encourages learners to look for and understand the rules and relationships that are critical components of mathematical reasoning.
In guided inquiry, teachers help students use their own language for constructing knowledge by active listening and questioning.
Math centers with math games, manipulatives, and activities support learner interests and promote the development of more complex math skills and social interactions.
A parent evening meeting about how to support numeracy at home with one follow-up meeting with each family has shown strong results for students' math development.
When teachers connect math to the students' world, students see how math is relevant and applicable to their daily lives.
A strengths-based approach is one where educators intentionally identify, communicate, and harness students' assets, across many aspects of the whole child, in order to empower them to flourish.
Using multiple methods of assessment can help educators gain a comprehensive understanding of learner progress across a wide range of skills and content.
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.
Providing physical representations of numbers and math concepts helps activate mental processes.
Connecting information to music and dance can support Short-term and Long-term Memory by engaging auditory processes, Emotions, and physical activity.
When classrooms are intentionally designed to promote inclusion, belonging, and accessibility, they positively influence key learner factors, including Attention, Self-Regulation, Learner Mindset, and Sense of Belonging.
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.
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.
Providing students a voice in their learning is critical for making learning meaningful.
Dot cards build number sense and promote early math skills, particularly Spatial Skills and Non-symbolic Number knowledge.
Learning about students' cultures and connecting them to instructional practices helps foster a sense of belonging and mitigate Stereotype Threat.
Selecting culturally responsive materials, including multicultural and diverse resources, is critical for supporting all students.
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.
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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.
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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.
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Use one of the guided tools to build a 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.
