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

Part 4: The benefits of connecting representations

video of math teacher

Overview

This part identifies reasons why making connections across multiple representations is important in elementary teaching. It also provides an opportunity to consider different ways in which multiple representations can be used to support student learning.

Key Points

Making connections across multiple representations supports core elements of practice:

  • Mathematics: deepening understanding; facilitating mathematical thinking; highlighting key mathematical ideas
  • Teaching practice: explaining mathematical concepts; broadening participation
  • Student thinking: encouraging multiple solution methods; providing access to diverse learners; building on prior knowledge

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

  • [email protected]
  • University of Michigan
    School of Education
    610 E. University Avenue, Suite 1600
    Ann Arbor, Michigan 48109-1259

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