Episode 207 - The Math Foundations - What Elementary Students Need Before You Ever Have Them Operate with Numbers episode artwork

EPISODE · Oct 5, 2025 · 13 MIN

Episode 207 - The Math Foundations - What Elementary Students Need Before You Ever Have Them Operate with Numbers

from The Build Math Minds Podcast · host Christina Tondevold

In this episode, I'm kicking off a series on building math fluency by diving into what I wish I had known when I first started teaching—the critical foundations students need BEFORE we ever ask them to add, subtract, multiply, or divide. Many students can DO the math, but they don't truly UNDERSTAND it. And the problem isn't that they need more practice—they're missing something much more fundamental. I'm sharing the four early numeracy concepts from the research of Douglas Clements and Julie Sarama: subitizing (instantly recognizing quantities without counting), verbal counting (understanding number patterns and structure), object counting (purposefully counting items), and cardinality (understanding that the final count represents the total quantity). You might be thinking these sound like kindergarten concepts, but stay with me! These foundations develop in sophistication all the way through 5th grade and beyond, including fraction subitizing and understanding complex number relationships. I've got free Savvy Subitizing Cards (PreK-2nd) and Fraction Subitizing Cards (3rd-5th) linked up at https://buildmathminds.com/207 to help you with one of the 4 early numeracy concepts. Next episode, we'll dig into the four number relationships that move students from counting to mathematical thinking!

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Episode 207 - The Math Foundations - What Elementary Students Need Before You Ever Have Them Operate with Numbers

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This episode was published on October 5, 2025.

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In this episode, I'm kicking off a series on building math fluency by diving into what I wish I had known when I first started teaching—the critical foundations students need BEFORE we ever ask them to add, subtract, multiply, or divide. Many...

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