Fractions - Session 9: Investigating strategies for comparing fractions

Part 4: Analyzing students’ comparison strategies

video of math teacher

Overview

This part uses the fraction-comparison strategies as a tool to anticipate and analyze students’ methods for comparing fractions.

Key Points

The following practices are helpful when analyzing students’ work on tasks:

  • Anticipate the strategies and representations students may use.
  • Identify the strategies students did use. If the student used a different strategy than predicted, consider if is it a fitting choice.
  • If the strategy is unfamiliar, explore whether or not the strategy is mathematically valid.
  • Identify questions to ask the student about her/his strategy or new problems to pose that would further reveal her/his understanding.

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

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