Math Concepts

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

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.

The Story of Structures of Equality: Two Perspectives

Two educators. One goal: help students understand word problems. Discover how the Structures of Equality (SoE) framework came to life, and why it works.

Why kids should count on their fingers

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

Learning math facts to ten with Parts Equal Total (PET)

Memorizing math facts to ten is helpful, but understanding them is even better. The Parts Equal Total (PET) structure helps kids see number relationships instead of isolated facts, making math more intuitive.

5 Ways to Deepen Mathematical Reasoning with Estimation and Comparison

Estimation uses number relationships to build reasoning. Strategies like close comparisons, focusing on ‘less,’ and warm-ups increase problem-solving skills.

How estimation helps with ‘more’ and ‘less’

The Compare structure helps students make sense of ‘more’ and ‘less’, building sense-making and mathematical reasoning skills.

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

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

Composing and Decomposing Numbers in K-3 Math

Teaching K-3 students how to compose and decompose numbers sets the foundation for more complex math. Learn how to use manipulatives, visual representations, and real-life examples to make these concepts stick.

Parts Equal Total structure as a Geometry Tool

Word problems and geometry might seem unrelated, but with the Parts Equal Total (PET) structure, students can bridge the gap.

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

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

Why is teaching estimation important?

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

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

Understanding place value: the key to building number sense

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.