Do you cringe when a student declares "cross multiply!" as soon as they see a problem involving fractions? It doesn't matter whether you teach elementary or high school, whether you're a parent or a tutor, having a student y...

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Do you cringe when a student declares "cross multiply!" as soon as they see a problem involving fractions? It doesn't matter whether you teach elementary or high school, whether you're a parent or a tutor, having a student yell out a trick without stopping to think is painful. This book is filled with alternatives to the shortcuts so prevalent in mathematics education and explains exactly why the tricks are so bad for understanding math.

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