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  1. This allows students to think about their problem-solving . strategy systematically and document their thinking for others to see. As students compare the different thinking strategies represented across a class, they develop and extend their own problem-solving repertoire. Recommendation #5: Help students recognize and articulate mathematical

  2. To communicate mathematically means to: use words or mathematical symbols to explain real life. talk about how you arrived at an answer. listen to other ways of thinking and perhaps alter your own thinking. use pictures to explain understanding. write about the math you used, not just give an answer.

  3. Multiple Terms for Same Idea: Words in math that overlap, or are often used interchangeably • altitude, height or length • base, width or length • add, sum • solve, determine the answer, compute • justify, explain, prove • multiply, determine the product Small Words or Phrases: Words or phrases that students often struggle to ...

  4. in disguise as a question. Use questions to help students make sense of math in their own way. Listen so you can better understand their thinking. 5. Do Number Talks regularly and mathematical understandings will develop over time. In order to develop a deep understanding of math, students need to encounter an idea multiple times in a variety ...

  5. six vocabulary words we had practiced and deduce the answer themselves as much as possible. For both tests I graded each student on four questions, on a four-point scale, 0-4, with. zero indicating no effort and 4 indicating excellent or above and beyond effort. With four.

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  6. how students’ diagrams help communicate the richness of their mathematical thinking. Dia-grams help them showcase their mathematical thinking to the teacher and other students, without having to rely only on words or having to know the “correct” words. In this manner, diagrams promote student agency and math-ematical authority.

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  8. creating). When questioning students during math classes, it is useful to assist them with problem solving by explaining with words, drawings, diagrams and numbers. Also, having students question helps them become better problem solvers. Asking students to explain their Math answers (using words, drawings or diagrams and

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