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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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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Every wonder why teaching estimation is important? Learn how estimation and number sense go hand in hand.

October 2, 2024

Why is teaching estimation important?

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Tired of your kids plucking out the numbers and not reading the number story? Try numberless word problems.

September 4, 2024

Numberless word problems: what, why, and how

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a number line with equal intervals labeled from 1 to 8
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Find out why number lines shouldn’t be used until 2nd grade and what to use instead.

August 28, 2024

Why number paths should be used instead of number lines