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Explore how early math routines help students understand that numbers are composed of other numbers: a foundational idea that supports place value, fractions, and meaningful problem solving.

August 6, 2025

Numbers Are Composed of Other Numbers

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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

“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?

Most kids don’t struggle with math because they can’t do the calculations—it’s because they don’t fully understand how numbers work together. SoE changes that by helping students see the bigger picture: how numbers break apart, how equality actually works, and why units matter.

April 16, 2025

The Mathematics Behind Structures of Equality: Understanding Equality and Decomposing Numbers

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Ever notice students try to sneak counting on their fingers? Many kids have been told not to. Here’s why they actually should.\

March 26, 2025

Why kids should count on their fingers

The number 24 is in the middle of a circle. There are lines drawn to varying forms of the number that show more sophisticated place value understanding: 2 tens, 4 ones; 24 ones; 1 ten, 14 ones; 20 + 4; 1 tens stick and 14 ones dots

Place value is about more than the position of digits; it’s the foundation of our number system. This blog explores how we can help students think flexibly about numbers.

September 25, 2024

Understanding place value: the key to building number sense