Understanding students' poor performance on mathematical problem solving in physics

Many introductory, algebra-based physics students perform poorly on mathematical problem solving tasks in physics. There are at least two possible, distinct reasons for this poor performance: (1) Students lack the mathematical skills needed to solve problems in physics, or (2) students do not know how to apply the mathematical skills they have to particular problem situations in physics. Many physics faculty assume that the lack of mathematical skills is the problem. We present evidence suggesting that the major source of students' errors is their failure to apply the mathematical knowledge they have or to interpret that knowledge in a physical context. Additionally, we present an instructional strategy that can help students employ the mathematical knowledge they already possess.