PROPOSAL FOR TEACHER TRAINING FROM THE PERSPECTIVE OF THE HISTORY OF MATHEMATICS AND THE MODEL OF SEMANTIC FIELDS ON PLATO’S POLYHEDRA

Abstract

This work is based on the perspective of the history of mathematics, combined with investigative practices. The central objective is to explore the meanings produced by undergraduate mathematics students regarding Plato's Polyhedra. They were enrolled in a training proposal for pedagogical practices in elementary education at the Instituto Federal do Espírito Santo – Ifes. The Training proposal consisted of four two-hour meetings. This article explores the second meeting, which focused on discussing the main mathematical elements—regular polyhedra and Plato's Polyhedra—with participants, as well as a proposed investigation into the historiographical perspective of textbooks. Data analysis was conducted using a plausible reading according to the Semantic Fields Model – SFM. A highlight of the results is the historical anachronism observed in the definitions for Plato's polyhedra, ascertained in the analysis of teaching material, and the participants' reflections on why textbooks present a differentiation between regular polyhedra and Plato's polyhedra, as if they were different geometric objects.