Thoughts on Teaching Math with technology

Friday, April 3, 2026

The Best Research-Based Cycle for Teaching Math: From First Exposure to Long-Term Mastery

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Teaching a math concept effectively isn’t just about explaining it clearly in the moment—it’s about helping students retain and use that kno...
Wednesday, April 1, 2026

Worked Examples Versus Problem Solving

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In the world of mathematics education, there is a long-standing debate: Should students "struggle" through a problem to build grit...
Monday, March 30, 2026

Cognitive Load Theory in Math Instruction

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Teaching math effectively isn’t just about what you teach—it’s about how much the brain can handle at once. This is where  Cognitive Load Th...
Friday, March 27, 2026

The Secret Rhythm of Lyrics: A Zipf’s Law Lab

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Have you ever noticed that even the most complex songs seem to lean on the same few words? Whether it’s a pop anthem, a rap verse, or a folk...
Wednesday, March 25, 2026

The Universal Secret of "The": Why Your Words Follow a Mathematical Law

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If you were to count every single word in this blog post, or in the entire works of William Shakespeare, or even in a collection of random W...
Monday, March 23, 2026

The "1" Rule: Why the Universe Has a Favorite Leading Digit

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Imagine you are looking at a massive spreadsheet containing every city’s population on Earth, the lengths of the world's rivers, or the ...
Friday, March 20, 2026

The “Waffle House Index” and the Surprising Power of Predictive Statistics

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In the world of disaster response, you might expect experts to rely only on satellite data, weather sensors, and complex computer models. Wh...
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Lee MacArthur
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