Mathematics in mathematics courses and mathematics in physics courses: toward a comparison method using praxeologies
Résumé
Our aim in this paper is to develop a method to analyse the similarities and differences between mathematics in mathematics courses and mathematics in physics courses in the first year of university. Referring to the anthropological theory of the didactic, we propose an initial method using the concept of praxeology, and we test it by analysing solved exercises from a mathematics and a physics textbook. We identify types of tasks that are present in both; sometimes, these types of tasks intervene in physics as ingredients of techniques. We then compare the associated praxeologies in the two disciplines. We also uncover physics types of tasks containing elements where mathematics and physics are intertwined. Lastly, we discuss what we believe are necessary evolutions of the initial method.
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