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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 Metacognition. Then click connected factors to explore strategies related to multiple factors.
Metacognition refers to the ability to think about our own thinking and to pay attention to and control our cognitive processes. Metacognition allows students to activate and use prior knowledge and experience to make predictions, to plan, and then to monitor and adjust strategies to solve problems. Metacognition improves throughout childhood and peaks by the end of adolescence.
Main Ideas:
There are several important components of Metacognition that allow students to predict, plan, monitor, and evaluate in the process of learning, and each plays an important role in the development of math skills.
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.
Teaching students to recognize the structures of algebraic representations helps them transfer solution methods from familiar to unfamiliar problems.
Discussing strategies for solving mathematics problems after initially letting students attempt to problem solve on their own helps them understand how to organize their Algebraic Thinking and intentionally tackle problems.
Actively and authentically encouraging all students to seek support, ask questions, and advocate for what they believe in creates a safe space for risk-taking and skill development and supports a Sense of Belonging.
Equitable grading systems and practices reimagine how to assess and communicate student progress through various methods that reduce subjectivity and increase opportunities to learn.
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.
Writing freely about one's emotions about a specific activity, such as taking a test, can help students cope with negative Emotion, such as math anxiety.
Teachers can help students understand that learning involves effort, mistakes, and reflection by teaching them about their malleable brain and modeling their own learning process.
Setting overall goals, as well as smaller goals as steps to reaching them, encourages consistent, achievable progress and helps students feel confident in their skills and abilities.
Providing feedback that focuses on the process of developing skills conveys the importance of effort and motivates students to persist when learning.
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.
As students work with and process information by discussing, organizing, and sharing it together, they deepen their understanding.
Math centers with math games, manipulatives, and activities support learner interests and promote the development of more complex math skills and social interactions.
When students have meaningful discussions about math and use math vocabulary, they develop the thinking, questioning, and explanation skills needed to master mathematical concepts.
Through short but regular mindfulness activities, students develop their awareness and ability to focus.
Short breaks that include mindfulness quiet the brain to allow for improved thinking and emotional regulation.
By talking through their thinking at each step of a process, teachers can model what learning looks like.
Visualizing how ideas fit together helps students construct meaning and strengthens recall.
Visual representations help students understand what a number represents as well as recognize relationships between numbers.
When students reframe negative thoughts and tell themselves kind self-statements, they practice positive self-talk.
Project-based learning (PBL) actively engages learners in authentic tasks designed to create products that answer a given question or solve a problem.
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.
When students engage in a dialogue with themselves, they are able to orient, organize, and focus their thinking.
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.
Providing students a voice in their learning is critical for making learning meaningful.
When students create their own number and word problems, they connect math concepts to their background knowledge and lived experiences.
Student-led conferences are meetings between students, parents, and teachers where the student actively leads the conversation by reflecting on their progress toward goals and sharing examples of their work.
Students deepen their math understanding as they use and hear others use specific math language in informal ways.
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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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.
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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.