A teaching experience for prospective teachers: To produce mathematics in a context of mathematical modelling connected with geometrical phenomenon

Abstract

In this article we present a teaching proposal that focuses on geometric objects that is carried out in 2018 with 17 prospective teachers. At that time, they are taking a geometry course corresponding to the third year of the formation program for teachers in mathematics of the Universidad Nacional del Litoral de Santa Fe - Argentina. We design and organize the main moments of the proposal around mathematical modelling processes so that prospective teachers are engaged in characteristic activities of mathematical production. The major task designed for the students' work takes as its main resource printed images of three-dimensional figures. It is worth noting that the proposal is designed and implemented as part of research associated with a doctoral thesis in mathematics education. In order to emphasize the pedagogical aspect of the implementation of the research work related to the thesis, in this article we describe and analyse in detail the educational proposal. We advance in discussions about the students' productions that emerge from their interactions in classes. Finally, we and offer some conclusions.