0000000000677441
AUTHOR
M. A. Vaccaro
Il ruolo di Luigi Cremona nella prima formazione scientifica di Eugenio Beltrami attraverso la loro corrispondenza
In October 1862 Beltrami was appointed, before graduating, as a professor at the University of Bologna, and here he met again his friend and colleague Cremona. The correspondence between the two mathematicians clearly shows not only the intimate friendship between them, but also Cremona’s role as Beltrami’s mentor in those years. The former is indeed generous with advice, encouragement and recommendations to his friend.
From art to geometry: Aesthetic and beauty in the learning process
Starting from the concept that knowledge comes as element of mediation between the convergent thinking, founded on experience, and the divergent thinking, placed in the perceptive, intuitive, creative dimension, in this paper we want to present an idea for developing an educational path combining the concept of “beauty” and some historical notes. It is possible to use this dissertation as a starting point to conceive a geometric laboratory that drawing inspiration from artistic works, get to create geometric shapes provided with fascinating symmetries
I poligoni stellati: origini storiche ed implicazioni didattiche
The genesis of mathematical concepts in the evolutionary line of human thought in the long story and the genesis in individual optics possess evident analogies. Starting from this assumption, we describe an activity presented to 15-year-old students; the aim was to consolidate fundamental concepts of Euclidean geometry related to regular polygons. The experimentation has used a didactic approach based on the historical evolution of the formal definition of regular star polygon through the centuries. The activity and the results obtained in terms of internalization of the concepts in the students are showed.