Reasoning-and-explanation - Session 4: Scaling mathematics problems and engaging in a video workshop

Part 2: Scaling mathematics problems

video of math teacher

Overview

This part introduces work on scaling mathematics problems. Scaling involves creating mathematically similar problems that may vary in difficulty, framing, and context. This kind of work may be known by other names, such as modifying or adapting. In this module, the term scaling is used to purposefully emphasize the work to preserve mathematical connections between the original and new versions of the problem.

Scaling is necessary for a number of reasons, including:

  • supporting students who encounter initial difficulties, need more practice, or would benefit from an extension
  • focusing more precisely on a particular mathematical issue

Key Points

Scaling well is crucial because it provides access for all students to the same mathematics even when engaging with different forms of a problem. There are ways in which teachers can scale problems and there are many factors that teachers consider when scaling, but primary emphasis must be given to the mathematics that can be learned.

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

Get in touch

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

© 2019. All rights reserved.