the Structures of Equality book is now available!

Practical Ideas for Elementary Math Teachers

Classroom-tested strategies for word problems, number sense, and making math meaningful.

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Students can write an equation and still miss what the story says. Learn how to help them check it against their structure, with examples in first, third, and fourth grade.

October 14, 2026

How to Help Students Check That an Equation Matches a Math Story 

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Repeated Equal Groups is supposed to show understanding, not produce answers. Except sometimes, the drawing does both at once. Here’s when that happens, and how to make sure it stays about comprehension.

August 13, 2026

Repeated Equal Groups Word Problems: When Drawing Solves the Math Story

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Writing an equation from a Repeated Equal Groups model is possible but only after students understand what the structure is showing. Here’s how to make that connection explicit.

May 13, 2026

How to Help Students Write Equations from a Repeated Equal Groups Model

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See how REG and Math Practice Standard 2 work together to help students comprehend word problems, bridging abstract reasoning and real-world problem solving.

February 5, 2025

Extending Understanding: REG, Practice Standard 2, and the Math Main Idea

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Choosing the right structure sometimes creates confusion for students and teachers alike. PET? REG? How do you decide?

January 15, 2025

Which structure represents the number story?

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Number stories that include multiplicative relationships can be a challenge. The Repeated Equal Groups (REG) structure helps students understand what’s happening in the problem.

January 17, 2024

Solving multiplication and division word problems with the Repeated Equal Groups Structure