Modelo de inserção das geometrias não-euclidianas na educação básica

Abstract

This work will show the non Euclidean Geometries through their historical aspects and, althougt the privation of this subject in some Mathematics courses, teachers who read this work will have some notions about these Geometries and will be able to transmit them to their students. There will be some sugggestions of activities using Dinamic Geometry softwares for Hiperbolic Geometry and suggestions of activities without the use of these softwares for Elliptic Geometry. More than that, it the appendices, two other Geometries will be shown in an informative character to the students, the Taxicab Geometry and the Projective Geometry. In that moment, will be indicated to the students what will characterize, in general, a Geometry called non Euclidean. It is necessary to emphasize that the presentation will be designated to students of 9 year degree.