"It all depends on the sign of the derivative": A praxeological analysis of the use of the derivative in similar tasks in mathematics and mechanics
Résumé
Calculus and mechanics are closely connected disciplines. However, students are not always able to establish links between them or use knowledge from one to solve problems in the other. In this paper, we study students' solutions of two tasks: a familiar mechanics task and a similar yet unfamiliar calculus task. Our results indicate that while students had acquired praxeologies from mechanics suitable to the mechanics task, they had difficulties transferring these praxeologies to the task presented in a calculus context.
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