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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.
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.
Overtly encouraging all students to seek support and ask questions creates a safe space for risk-taking and skill development.
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.
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.
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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