The Problem Solving and Communication Activity Series Change the Representation

Change the Representation

Multiple representations are incredibly important to mathematics and problem solving. Coming up with new, accurate representations, and comparing representations, are interesting (and challenging) mathematics. We provide students several prompts for ways to change the representation, and offer activities for comparing and checking representations.

Activities to Learn this Strategy

Facilitation Questions

  • What are the main ideas in this problem?
  • What are other ways to show them?

Recommended Library Problems

The Strategy Examples documents linked from these problems contain examples of what students could do with the activities. You need a Class Membership or higher to access Library problems.


How Many Berries Did I Eat?
Up, Up, and Away!

Math Fundamentals

Common Cents
Farmer in the Dilemma


The Snowy Driveway
Top Notch Nose Contest


Building a Bakery
Pressed for Time


Ants Marching
Making a Six-Pointed Star

Learn more about the different membership options.

© 2018 The Math Forum at NCTM. All Rights Reserved.