Caracterizações de Convexidade para polígonos simples

Abstract

In basic education some types of definitions of convex polygons are presented succinctly, in order to provide characterizations of this type of polygon and then to develop the topics of flat geometry restricting to this category. In general, they do not address simple non-convex polygons at this school level. Nor is it common to discuss the equivalence between the various of his characterizations. The purpose of this article is to demonstrate results on convexity, which broaden the notions about such subject in basic education, extending the theory of simple polygons to the nonconvex case. Once the theoretical development is done, we suggest ways of presenting convexity in basic education using visual elements and intuition. We will discuss the different ways of characterizing convex polygons and the difficulties that arise when trying to approach nonconvex polygons. The methodological procedures used were the qualitative research in the form of bibliographic and documentary research. As a result, several propositions about convexity that are scattered in the literature are gathered together in a single text, using for that purpose a framework adequate to the teaching of geometry in basic education, that is, the framework of the graduated ruler and the protractor. Publicado online: 27/05/2019 95