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This summer, battle lines were drawn over a simple math problem: 8 ÷ 2(2 + 2) = ? If you divide 8 by 2 first, you get 16, but if you multiply 2 by (2 + 2) first, you get 1. So, which answer is right?

I observed an Algebra class recently where students were trying to multiply two polynomials, (x + 5) and (3x 2 - 5x - 4). And as I roamed the room, I noticed several students who were stuck because ...