Geometria Analítica com o Geogebra: adaptando o livro didático para ensinar através da Resolução de Problemas.

Abstract

This work aims to study the contributions of GeoGebra software to the process of solving problems in Analytic Geometry in high school. As theoretical framework we consulted the book Didática da resolução de problemas de Matemática (DANTE 2000) and the textbook Matemática Contexto & Aplicações (DANTE, 2010). We also used national reference to the high school as OCEM (2010). We started the search classifying the types of problems according to Dante about the content distance between points and coordinates of the midpoint of a straight tracking. We chose a problem from the book of Dante Matemática Contexto & Aplicações and adapt to GeoGebra. At the end of the work we present a Sequence Didactics using Polya’s heuristic so that students could apply their prior knowledge while that used GeoGebra to reach the correct solution of the problem by developing their autonomy as they build their knowledge. We can conclude that this methodology is a way to stimulate the development of effective and enjoyable learning for teachers and students because it allows students to develop their knowledge in an effective and dynamic, autonomous individuals resulting in the construction of knowledge, and critical citizens transforming the environment in which they live.