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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 Reasoning. Then click connected factors to explore strategies related to multiple factors.
Reasoning is the cognitive ability that allows us to notice similarities and relationships across contexts. Relational reasoning, or the ability to see connections between multiple concepts, is an important part of this process and is essential to successful Problem Solving.
Main Ideas:
Reasoning can help us to think abstractly about language and verbal concepts as well as non-verbal concepts, such as patterns.
Reasoning capacity begins to decline in early adulthood, and individuals begin to rely more heavily on Background Knowledge rather than Reasoning abilities to make sense of new contexts. As such, with reduced Reasoning, adults may have more difficulty learning and performing new tasks.
Experts can answer questions and provide vocabulary, processes, feedback, and scaffolds to help learners deepen their understanding.
Case studies support authentic, active learning experiences centered around real world situations that present an account of a particular set of circumstances for learners to engage with.
When learners process and express information visually, they are activating more cognitive processes while Problem Solving.
When preparing for and executing a debate, learners analyze, form, and express verbal arguments, fostering their critical thinking skills, an essential component of 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.
Teaching adult learners how to systematically evaluate sources prepares them to navigate information in an increasingly complex, digital world.
Experiential learning is learning by doing, which may include self-directed learning activities.
Giving learners the opportunity to explain their thinking process aloud helps them to solidify their comprehension, and move knowledge into their Long-term Memory.
Game-based learning is an active learning experience with clear objectives and measurable outcomes designed to be intrinsically game-like.
Visualizing how ideas fit together helps learners construct meaning and strengthens their recall.
Immediate feedback can improve a learner's confidence, self-awareness and enthusiasm for learning, which leads to increased Motivation.
Inquiry-based learning is centered around open-ended questions posed by instructors and/or the learners themselves and fosters a Learner Mindset.
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.
The opportunity to observe peers or experts in action or participate in shadowing can provide a unique and authentic learning experience that often involves questioning, metacognitive thinking, and Problem Solving while providing Social Supports.
Pairing non-examples with examples helps learners compare and contrast to deepen understanding at both the concept and skill levels.
Perspective seeking is different from perspective taking as it involves communication with the purpose of gaining insight into the nuances of alternate views.
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.
Positive self-talk can support self-efficacy, optimism, Self-regulation, and a Learner Mindset.
Problem-based learning (PBL) is a learner-centered multidisciplinary approach focused on real world applications using active learning methods.
Process-based writing focuses on how learners brainstorm, outline, draft, and revise their writing and is most effective when paired with feedback, especially for English language learners.
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.
Simulations and immersive virtual environments provide authentic learning at a level that can spark curiosity and deeper understanding by engaging multiple senses in exploration.
Skills sprints are focused, real world learning experiences for teams in which participants learn new skills while directly designing, developing, or delivering something to their organization.
Analyzing short video clips, replays of important aspects, and videos of oneself applying what has been learned can improve Metacognition and Long-term Memory while fostering a Learner Mindset.
Analyzing and discussing solutions to problems helps students develop a deeper understanding of Problem Solving processes and Numeracy skills.
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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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