The purpose of this mixed method study was to discover whether training in understanding relationships between variables would help students read and interpret equations for the purposes of problem solving in physics. Twenty students from two physics classes at a private Catholic high school participated in a one group pretest-posttest unit with the conceptually based mathematical intervention being the independent variable, and the test results being the dependent variable for the quantitative portion of the study. A random sample of students was interviewed pre and post intervention for the qualitative portion of the study to determine both how their understanding of equations changed and how their approach to the problems changed. The paired-sample t test showed a significant improvement on the Physics Critical Thinking test at the p less than 0.01 alpha level; furthermore, the interview data indicated the students displayed a deeper understanding of equations and their purpose as opposed to the superficial understanding they had before the intervention. [The dissertation citations contained here are published with the permission of ProQuest LLC. Further reproduction is prohibited without permission. Copies of dissertations may be obtained by Telephone (800) 1-800-521-0600. Web page: http://bibliotheek.ehb.be:2222/en-US/products/dissertations/individuals.shtml.]