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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 Numeracy. Then click connected factors to explore strategies related to multiple factors.
Learner Factor Summary: Numeracy
Numeracy Content
Adult Numeracy is the ability to interpret and communicate mathematical ideas and content to meet the demands of the real world. Adults' confidence in their Numeracy skills increases the likelihood of their use in real-life situations.
Main ideas:
A significant portion of U.S. adults, roughly 30 million (16%), struggle with basic math skills. Numeracy includes four interwoven strands of skills and conceptual knowledge that build on each other:
Numeracy skills, a key part of financial literacy, are incredibly important, as they often influence a household's economic stability. For example, those with poor Numeracy skills are twice as likely to face employment difficulties. Research has shown women and older adults demonstrate poorer Numeracy skills than their counterparts, possibly due to the effects of Stereotype Threat. Despite other cognitive declines with age, adult Numeracy, which relies heavily on stored knowledge, does not show a decline.
Without targeted support, dyscalculia- a neurodevelopmental learning disorder that typically impairs the ability to represent number- can persist into adulthood and can contribute to difficulties in other areas of Numeracy. Adults with dyslexia may also demonstrate difficulties with verbal arithmetic, and reading and writing numbers similar to the difficulties with letters and words they typically experience during reading acquisition, possibly due to difficulties with phonological processing and verbal Working Memory. These difficulties do not typically interfere with more complex mathematical abilities, so it is important to watch for signs of deeper struggles with Numeracy that may be indicators of dyscalculia and can interfere with daily activities such as dealing with time or money. There is often overlap between dyslexia and dyscalculia, though the two can present separately.
When learners process and express information visually, they are activating more cognitive processes while Problem Solving.
Analyzing errors is especially beneficial in helping learners develop a Learner Mindset and critical thinking skills, which are a component of Problem Solving.
Experts can answer questions and provide vocabulary, processes, feedback, and scaffolds to help learners deepen their understanding.
Giving learners the opportunity to explain their thinking process aloud helps them to solidify their comprehension, and move knowledge into their Long-term Memory.
Analyzing and discussing solutions to problems helps students develop a deeper understanding of Problem Solving processes and Numeracy skills.
Flexible grouping is a classroom practice that temporarily places learners' together in given groups to work together, with the purpose of achieving a given learning goal or activity.
Learning in social contexts has been shown to have significant effects on comprehension of material and retention of new information into Long-term Memory.
Giving learners the opportunity to share their knowledge, skills, and understanding with others strengthens learning and increases Motivation while also building Social Supports.
When adults can connect and communicate with authentic audiences about their interests and values, learning becomes more personally meaningful and relevant.
Direct instruction in math strategies may support some adult learners once conceptual understanding is in place.
Seeing and using new words repeatedly and across contexts is critical for vocabulary acquisition.
Mindfulness is a practice to create internal balance and a sense of being present in the moment.
Instruction and training presented in multiple formats allows learners to activate different cognitive skills and Background Knowledge that are necessary to remember procedural and content information.
When instructors are able to provide context, and connect math concepts to an adult learner's world, math can be seen as relevant and applicable to their daily lives and work- a core aspect of adult Numeracy.
Metaphors and analogies can support learners by helping to form connections and to notice patterns and similarities that promote learning, self-concept, and higher order thinking.
Formative assessment is “assessment for learning” rather than “assessment of learning”.
When annotating, learners engage deeply with a text and make their thinking visible while reading, which supports Foundational Reading Skills.
Setting overall goals with actionable steps for achievement can help learners feel more confident in their abilities and help minimize procrastination-related behaviors.
Reflection can take place throughout learning, supporting critical thinking and Problem Solving skills when learners actively question assumptions, and after learning experiences to support Metacognition.
Pairing non-examples with examples helps learners compare and contrast to deepen understanding at both the concept and skill levels.
When adults monitor their comprehension, performance, and use of strategies when learning they become more invested in their work, build their Metacognition, and actively participate in the process.
Making space and time for physical activity, through brief movement breaks in the classroom or workplace and incorporating it into daily life, has benefits for the body and mind.
Opportunities for students to practice skills in context, with instructor support and also independently, helps to move concepts and ideas into Long-term Memory.
Learning and studying information across multiple sessions that are spaced, or distributed in time, can promote learning and long-term retention of both basic and conceptually complex facts and concepts.
Using multiple methods of assessment can help educators gain a comprehensive understanding of learner progress across a wide range of skills and content.
Using language that is accessible and appropriately leveled for each student allows all learners to feel successful and participate in learning.
When adults are aware that learning involves effort, mistakes, reflection, and refinement of strategies, they are more resilient when they struggle.
Chunking involves breaking texts down into more manageable pieces to help learners focus their Attention while reading and to comprehend text more effectively.
Understanding adults' lived experiences and cultural backgrounds and connecting them to instructional practices helps all learners feel like valued members of the community.
Immediate feedback can improve a learner's confidence, self-awareness and enthusiasm for learning, which leads to increased Motivation.
When designing instruction for adults, expectations and goals should be clearly outlined to help learners focus on the material and make plans for success.
Visualizing how ideas fit together helps learners construct meaning and strengthens their recall.
Visual reading aids, such as handouts and online guides, help learners to maintain Attention and serve to support the learning process.
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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.
