This study investigated how students reason about the partial derivative and the directional derivative of a multivariable function at a given point, using different graphical representations for the function in the problem statement. Questions were formulated to be as isomorphic as possible in both mathematics and physics contexts and were given…

Discusses the historical, cultural, and pedagogical roots, as well as reasons inherent in mathematical thought that may explain U.S. students' resistance to learning mathematics. Concludes that bridging the gap between theory and practice can be facilitated by a hands-on approach that employs experiments and model making. (PR)