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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Fractions confuse students not because they can’t calculate but because they don’t truly understand what fractions represent. This article unpacks the most common fraction misconceptions, why they occur, and how teachers can shift from rules to reasoning with stories, visuals, and models.

October 15, 2025

When Fractions Don’t Make Sense

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We tell students that adding makes numbers bigger and subtracting makes them smaller, but even in kindergarten, we see examples that don’t fit.

July 23, 2025

Misconceptions About Addition and Subtraction

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“Equal” doesn’t just mean “the same.” Let’s unpack what equal really means in early math, and how to help students make sense of it using concrete experiences, representational models, and clear language.

June 25, 2025

More Than ‘the Same’: How Do You Explain Equal?

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Sometimes it feels like your students are playing a guessing game when it
comes to number stories. Learn how SoE helps them understand and the research that
backs it.

April 2, 2025

The “why” behind SoE: rethinking wordproblems

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Use student mistakes to your advantage. See why wrong answers in math are a starting point for deeper understanding and sense-making.

November 13, 2024

Math misconceptions: incorrect responses as a teaching tool

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Math misconceptions can start as early as kindergarten! Let’s dig into thinking around operations.

October 23, 2024

4 common elementary math misconceptions around operations (and how to avoid them)