Free Write 7

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Last updated 5:24 AM on 10/6/26
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11 Terms

1
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Three Goals for Math Achievement

  1. Eliminate achievement gaps (race/income).

  2. Make all students college/career ready.

  3. Increase high school graduation rates.


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5 Common School Problems

  1. Focus on procedures, not meaning.

  2. Low expectations/narrow curriculum.

  3. Limited teacher resources.

  4. Assessments focus on recall, not reasoning.

  5. Lack of teacher collaboration/professional learning development.


3
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NCTM Solutions for Success

  1. Engaging teaching methods.

  2. Access to high-quality curriculum/resources.

  3. Coherent, real-world connected curriculum.

  4. Essential technology integration.

  5. Assessment for growth/instruction.


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Role of Assessment

Prove proficiency, show growth, guide instruction, give feedback.


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What are the 8 Mathematics Teaching Practices outlined in the text?

Establish goals to focus learning.

Implement tasks promoting reasoning/problem solving.

Use/connect mathematical representations.

Facilitate mathematical discourse.

Build purposeful questions.

Build procedural fluency from conceptual understanding.

Support productive struggle.

Elicit/use evidence of student thinking.


6
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How do personal beliefs influence the teaching and learning of mathematics?

  • For Teachers: Beliefs influence the decisions they make about how to teach mathematics.

  • For Students: Beliefs influence their perception of what it means to learn math and their dispositions toward the subject.


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What is Conceptual Understanding?

The comprehension of mathematical concepts, operations, and relations.

8
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What is a Productive Disposition?

The habitual inclination to see mathematics as sensible, useful, and worthwhile, coupled with a belief in diligence and one’s own self-efficacy.

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What is Strategic Competence?

The ability to formulate, represent, and solve mathematical problems.

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What is Procedural Fluency?

The skill in carrying out procedures flexibly, accurately, efficiently, and appropriately.

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What is Adaptive Reasoning?

The capacity for logical thought, reflection, explanation, and justification.