Grow Your Mind

What Really Makes a Mathematician? A Closer Look at the Five Strands
Naomi Church Naomi Church

What Really Makes a Mathematician? A Closer Look at the Five Strands

It’s more than memorizing facts or following steps. This post breaks down the Five Strands of Mathematical Proficiency—productive disposition, conceptual understanding, procedural fluency, strategic competence, and adaptive reasoning—and shows how they work together to build confident, capable math thinkers. Whether you're designing instruction, planning PD, or coaching educators, this framework offers a powerful lens for supporting meaningful math learning.

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Keywords are NOT the Key
Naomi Church Naomi Church

Keywords are NOT the Key

I was asked to consult on a student Individualized Education Program (IEP) this week and it got me thinking about a presentation I gave a couple of years ago on the work of Karen Karp, Sarah Bush and Barbara Dougherty. They wrote an amazing article in Teaching Children Mathematics (Vol. 25, No. 7) entitled “Avoiding the Ineffective Keyword Strategy.”

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