L'uso di un software di Geometria Dinamica nella formazione dei futuri insegnanti
Matematica, cultura e società, Série 1, Tome 6 (2021) no. 1, pp. 37-67
Citer cet article
Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica
In this paper we present some considerations about the methods of using a dynamic geometry software for teaching history of mathematics at university level. After a short introduction to GeoGebra, we discuss four activities we have experienced with students in our courses: an exploration of the “Tools Menu” following the outline of the first book of Euclid's Elements; an activity on regular pentagons and pentagrams with the aim of comparing the methods of synthesis and analysis; a GeoGebra assisted reading of the writings of Poncelet about ideal secants of conics; an activity for understanding the geometric intuition of Cremona and Hirst about Bellavitis-Hirst inversion of a circle with the help of the dynamic features of the software. We finally discuss the reasons why we believe that these activities may be very effective in the training of prospective teachers of mathematics.