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…

There is considerable interest in the cultivation of student graphic literacy among educators and researchers, especially in the sciences. Previous research, however, has shown that many students manifest difficulties in using diagrammatic representations. One explanation that has been proposed to account for these difficulties is that certain…

As part of an investigation of the effectiveness of a microcomputer-based laboratory (MBL) activity in developing students' graphing skills, this study was specifically designed to examine the differences between females and males in both performance on graphing tasks and on their attitudes to graphs and graph-based activities. Results based on a…

A 3-year study was conducted to determine the logical reasoning processes necessary to construct line graphs. Responses obtained from middle and high school science and mathematics students were classified into one of nine categories. These categories ranged from "no attempt to make a graph" to "complete graph with a statement of a…