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Memorizing equations, recalling them, and then plugging numbers into those equations to obtain answers for test questions. This characterizes in part how novices approach problem solving in a content area such as physics. However, a novice’s preoccupation with the mathematics of physics leaves little attention or consideration directed toward the underlying laws and principles. In this paper, we present both an instructional and problem-solving approach in the realm of physics that employs constraint graphs – i.e., a representational convention in which a multitude of variables are combined into a network of mathematical relationships. Specifically, constraint graphs serve to organize and structure the mathematics of physics in such a way that more easily renders tasks of problem-solving and learning. Our hope is that high school students’ use of constraint graphs eases the burden associated with mathematics and provides an opportunity to understand better the laws and principles of both physics and engineering.

Utilizing Constraint Graphs In High School Physics