O uso do software GeoGebra como recurso metodológico no processo de ensino e aprendizagem de retas e planos

Abstract

The present work had as general objective to elaborate, apply and evaluate a study proposal that would facilitate the learning of Analytical Geometry concepts, using GeoGebra as a didactic resource. To this end, the study was developed with students of the discipline Introduction to Linear Algebra, from the Mathematics Degree course at Campus IV of the Federal University of Paraíba, in the city of Rio Tinto - Paraíba, emerging as a supporting element in the face of the learning difficulties faced by students in the study of lines and planes, in the discipline Vector Calculation and Analytical Geometry. The methodology used in the development of this research is characterized, with regard to the objectives, as exploratory and descriptive. We chose to use the technical case study procedure, and a qualitative approach. Activities carried out with the help of GeoGebra and a diagnostic questionnaire containing fifteen closed questions and one open question, were the instruments used in the collection of research data. Regarding the results, it was observed that the students, even in a Mathematics Degree course, present sensitive difficulties in the learning of Analytical Geometry concepts, mainly with regard to the connection of algebraic manipulations in the study of relative positions of lines and planes with the behavior of the graph of these geometric objects. However, the use of software, specifically GeoGebra, is characterized as a tool that contributes positively so that these difficulties are overcome. It was observed, at the same time, that GeoGebra facilitated the graphical visualization of lines and planes, thus allowing the study of properties of the equations of these objects and associating such properties to the graphics of such objects. In addition, the students were able to express their opinion regarding the use of software in other concepts of Analytical Geometry, as well as in other disciplines participating in the course curriculum.