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Direct linkWittmann, Michael C.; Black, Katrina E. – Physical Review Special Topics - Physics Education Research, 2015
Students learning to separate variables in order to solve a differential equation have multiple ways of correctly doing so. The procedures involved in "separation" include "division" or "multiplication" after properly "grouping" terms in an equation, "moving" terms (again, at times grouped) from…
Descriptors: Mathematics, Calculus, Problem Solving, Mechanics (Physics)
Wittmann, Michael C.; Flood, Virginia J.; Black, Katrina E. – Educational Studies in Mathematics, 2013
We show that students rearranging the terms of a mathematical equation in order to separate variables prior to integration use gestures and speech to manipulate the mathematical terms on the page. They treat the terms of the equation as physical objects in a landscape, capable of being moved around. We analyze our results within the tradition of…
Descriptors: Figurative Language, Algebra, Mathematics, Mathematics Education
