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12 Elementary Math Problems that Capture the Essence of Mathematical Thinking

One of the most abused terms in mathematics education is problem solving. The term has been hijacked to mean anything from plugging numbers into the quadratic formula to repeating the same steps over...

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Problem Solving Russian Style

You’ve read about the lack of proper problem solving in schools and you’ve even started thinking about a few recommended nonstandard elementary problems, now what? You could browse the Web looking for...

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Street-Fighting Mathematics: Inexact Reasoning Leading to Deeper Understanding

All too often school teaches us to “guess and check” when a simple exact calculation would lead to the right answer. Guessing the answer to a one variable equation may not further our mathematical...

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The Fascinating World of Preschool Mathematics Education and Enrichment

Teaching math to young kids who don’t know how to read, write, or count is a complicated task. Providing these kids with mathematical enrichment seems like an even more daunting task. Unfortunately,...

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A Comprehensive Guide To Teaching K-8 Mathematics

One of the effects of a highly decentralized education system in the US is the lack of a single guide to teaching any single subject. In mathematics, especially at the K-8 level, this has been an...

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Plus Magazine: A Collaboration Between Mathematicians and Educators

Unfortunately, too many of the English language math textbooks that students see on a daily basis are written exclusively by professional educators without any serious input from mathematicians. As a...

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NRICH: An Organized Collection of Math Enrichment Problems and Activities

If you liked the expository writing in Plus Magazine, you may enjoy Nrich, a sister project from Cambridge University. The site features hundreds of math problems and activities organized by grade and...

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An Online Problem Solving Course for Young Kids

We’ve mentioned the work of James Tanton, Maria Droujkova, and Yelena McManaman before, and now they have teamed up to offer a one month long online math problem solving course. mpsMOOC13: Problem...

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