ISTE | Make math concrete with digital fabrication - 1 views
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John Evans on 21 Dec 15"For too many students, doing mathematics means just plugging numbers into a memorized formula to get an answer. And because they don't understand the formulas they're using, they often fail to use the right one. Take a look at Isaac's work below, for example. He is a fifth grade student who tried to find the surface area of a rectangular prism by incorrectly adapting a previously memorized formula for calculating perimeter. He calculated two times the length plus two times the width (2L + 2W) and tried to account for the height by multiplying it by 4, then adding it to the previous sum. Unfortunately, Isaac is not alone in this type of approach. Students who use formulas by rote may never come to see mathematics as sense-making and may never understand the formulas they use. And there are so many formulas to memorize! Teachers who prematurely introduce students to formulas risk denying them opportunities to develop the necessary conceptual foundations for mathematical understanding."