Uma proposta de estudo da Geometria Analítica com o uso do software GeoGebra.

Abstract

This work proposes the use of the educational software GeoGebra as a tool for the study of Analytical Geometry (G.A). The GeoGebra, is a free and dynamic math multiplatform soft- ware provides tools that combines geometry, Algebra, tables, graphs, statistics and diffe- rential calculus. One of the challenges in the study of Analytical Geometry is to develop a flat and spatial vision and to be able to abstract it into Algebra (or vice versa), while solving problem situations, since this is not an easy task to do in Algebra due to its abstraction of the development of the exercises and their results. Facing this challenge, we will see exer- cises in Basic Education, High School and Higher Education involving the study of lines, circles, vectors, plans, conics, among others, analyzing the traditional approach – based on mathematic properties, done through the use of the software, which will be used as a study tool, analysis and investigation of the proposed exercises, aiming to present the software as a tool complementary and facilitating both at the time of study, as well as in the teaching of Analytical Geometry. The exercises were divided in groups concerning their application level – High School and Higher Education – which we will realize how the software allows us to clearly check the results obtained algebraically, to investigate the results by ranking them as true or false, to view equations and even to build reasoning that leads to the problem solution.