Conceptually Understanding Problem Solving Approaches

A Science Daily article titled You Do The Math: Explaining Basic Concepts Behind Math Problems Improves Children's Learning cites research at Vanderbuilt University indicating that students benefit more from having teachers explain math problems from a conceptual point of view as opposed to explanations based on procedural problem solving. This does not surprise me in the slightest and I believe the study has applicability extending well beyond the teaching of math.

When learners are able to grasp a problem conceptually they can then utilize their own innate reasoning skills to find solutions. There is no point to reinventing the wheel so the teaching of procedural problem solving methods is still relevant. However, the problem solving steps can be learned within a context that allows for a thorough understanding of why it is they work. Retention of procedural instructions is more likely when the purpose of them is understood. This likely has implications for problem solving in general. Business and interpersonal relationship problems can be better resolved if the solution steps are conceptually understood and not simply rote memorized.