Fractions - Session 5: Narrating representations and analyzing tasks

Part 3: General steps for narrating the construction and use of a representation

video of math teacher

Overview

This part articulates general steps for narrating the construction and use of a representation. These steps are then used to think about the specific work of narrating the construction and use of a number line, in particular, the key mathematical ideas to highlight while narrating.

Key Points

A general process for narrating the construction and use of a representation:

  • Make the mathematical problem or context clear.
  • Describe how a particular representation is useful for the problem at hand.
  • Construct the representation and use it to solve the task, while describing and giving meaning to each step.
  • Summarize what the representation has helped to do.

Menu

  • DTE Home
  • Fractions Home
  • Sessions
    • Session 1: Studying mathematics teaching with a focus on fractions
    • Session 2: Understanding and using representations of fractions
    • Session 3: Connecting representations and developing a working definition of a fraction
    • Session 4: Using the number line
    • Session 5: Narrating representations and analyzing tasks
    • Session 6: Using public recording space
    • Session 7: Studying how tasks and public recording space support mathematics teaching
    • Session 8: Supporting students' narrations; and using a 'public-recording-space checklist'
    • Session 9: Investigating strategies for comparing fractions
    • Session 10: Supporting students’ understanding and use of representations shared by classmates

Get in touch

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  • University of Michigan
    School of Education
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    Ann Arbor, Michigan 48109-1259

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