The Witch of Agnesi: Thematic Fulcrum for a Shared Learning Path in the Classroom

In this article, we propose an educational path to learn mathematics in the framework of the European Community Action Scheme for the Mobility of University Students (ERASMUS) project developed in an Italian high school class on the topic of the contribution of women in science. The choice of the educational path fell on Maria Gaetana Agnesi and the particular curve, the “versiera” (witch), studied by her. During the experimentation, the students have been divided into four groups, each one taking care of particular aspects of the human and cultural experience of Maria Gaetana Agnesi, and the construction of her famous curve under different mathematical registers: the geometric, algebraic, analytical, mechanical and computer science, as well as non-mathematical ones such as the gestural and voice registers. The effectiveness of the proposed educational path was evaluated through interviews with the students during the course and at the end of the activities. All the students, even those less skilled in mathematics, have shown enthusiasm and satisfaction by recognizing the mathematical object, the “witch”, presented by using different languages.