Fractions - Session 3: Connecting representations and developing a working definition of a fraction

Part 2: Connecting representations of ¾

video of math teacher

Overview

Using the representations of ¾ activity from Session 2, this part focuses on making connections across different representations of the same mathematical idea. Connecting mathematical ideas to a particular representation or across representations is a central aspect of teaching and learning mathematics. For example, making connections across representations can support students’ sensemaking by enhancing their understanding of each representation being connected.

Key Points

  • Making connections across representations draws upon and highlights foundational ideas in mathematics.
  • When connecting different representations of fractions, these ideas include identifying the whole and equal partitioning.

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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