Reasoning-and-explanation - Session 5: Producing “good” mathematical explanations

Part 1: Preview

video of math teacher

Overview

Session 4 focused on scaling mathematics problems and engaging in a video workshop to explore students’ reasoning and teaching moves that nurture mathematical practices.

Session 5 extends work on mathematical explanations launched earlier in the module. More specifically this session focuses on:

  • Producing mathematical conjectures and justifications for the Sum of Consecutive Odd Numbers Problem
  • Considering and critiquing the conjectures and justifications of others
  • Considering a set of features of good explanations
  • Considering problems from curriculum materials that provide opportunities for students to work on producing “good” explanations

Working on explaining and discussing the features of explanations is useful because it helps teachers:

  • Listen to, and guide, students’ explanations
  • Plan explanations they will provide
  • Develop shared ways of describing and discussing mathematics with colleagues

Menu

  • DTE Home
  • Reasoning and Explanations Home
  • Sessions
    • Session 1: Studying mathematics teaching with a focus on reasoning and explanation
    • Session 2: Launching work on mathematical explanations and video workshop
    • Session 3: Noticing the features of explanations and unpacking student reasoning
    • Session 4: Scaling mathematics problems and engaging in a video workshop
    • Session 5: Producing “good” mathematical explanations
    • Session 6: Appraising a student’s explanation and engaging in a video workshop
    • Session 7: Capitalizing on students’ explanations and engaging in a video workshop
    • Session 8: Developing justifications and responding to students’ explanations
    • Session 9: Planning instruction to target reasoning and engagement in mathematical practices
    • Session 10: Summarizing and moving forward with video workshop

Get in touch

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    School of Education
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    Ann Arbor, Michigan 48109-1259

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