Reasoning-and-explanation - Session 1: Studying mathematics teaching with a focus on reasoning and explanation

Part 4: Considering others’ explanations for the Pool Border Problem

video of math teacher

Overview

This part continues work on the Pool Border Problem with an emphasis on considering the approaches of others, specifically:

  • Whether each approach will allow you to know the number of tiles for any size pool
  • How solutions connect back onto the problem
  • How solutions/approaches map onto each other
  • The language, representations, and logic used in each explanation

Key Points

Producing and interpreting approaches to problem solving are both routine aspects of the work of mathematics teaching. Careful and open-minded listening to the approaches of others is a rich opportunity to build interpretation skills that will be useful in everyday teaching.

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

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