Explorando recursos do geogebrabook no estudo de quádricas a partir de diferentes representações

Abstract

This dissertation work presents as a guiding question of research: How can GeoGebraBook's capabilities in the study of quadric surfaces be explored in order to generate a didactic material in which different representations are present and can be related to each other? In order to answer this question, a virtual didactic material was developed using GeoGebraBook tools to compose exploratory activities that seek to mobilize different representation registers in the study of quadratic surfaces. Initially, to support this research was adopted as an instrument of data collection the analysis of some books of analytical geometry directed to higher education that have been published since the 40's. For this, it was considered as a methodological reference the guidelines of the qualitative oriented research by the principles of the bibliographic research of GIL (2002). The theoretical basis was based on Raymond Duval's theory of registers of semiotic representation. Since this theory has a broad reference on the visualization process and, consequently, presents possibilities of interconnection in the use of potentialities of the virtual environment generated by GeoGebraBook. In this perspective twelve activities were elaborated containing innumerable applets that seek to relate the graphic representation with the algebric representation, since in the analysis of the books it was observed that the proposed activities remain, in the majority, only algebric scope.