Résumé
In this article, we present an experiment based on the modeling of the second Kleindiscontinuity developed by Carl Winsløw within the framework of the anthropologicaltheory of the Didactic. This experiment was conducted in the institutional context ofsecondary teacher training in France, involving a population of students holding abachelor’s degree in mathematics (L3). The case study focuses on the connectionsbetween the integral taught in high school in France, introduced as the area under thecurve, and its relationship with the Riemann integral and measure theory taught at theuniversity.