AN EXPERIMENTATION TO ADDRESS KLEIN'S DISCONTINUITY IN THE CASE OF THE INTEGRAL
Résumé
In this article, we present an experiment based on the modeling of the second Klein discontinuity developed by Carl Winsløw within the framework of the anthropological theory of the Didactic. This experiment was conducted in the institutional context of secondary teacher training in France, involving a population of students holding a bachelor’s degree in mathematics (L3). The case study focuses on the connections between the integral taught in high school in France, introduced as the area under the curve, and its relationship with the Riemann integral and measure theory taught at the university.
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