CALE: Learning by Example in Mathematics with Applets in Mathematical Computational Packages

In this work we present a methodology of “learning by example” assisted by computers in the study of mathematics. We propose the use of mathematical computational packages to program applets aimed to solve mathematical problems. Each time the student runs the applet, a new random instance of the problem is generated, and he is guided, step by step to solve it. The student can repeat the process as many times as necessary until his knowledge is consolidated, by taking a more active role in the process after the first repetitions of several instances.The authors are supported by the University of the Basque Country, UPV/EHU (PIE-2018, Código 2) and by the Basque Government, grant IT974-16