Re (pensar) as simetrias de figuras planas com utilização do GeoGebra

Abstract

This research is the product of the elaboration and application of an unprecedented class using Mathematical Investigation as a teaching methodology, with the help of GeoGebra in the teaching of symmetries, applied in the 3rd year of High School. The aim is to understand geometric thinking in relation to symmetries using GeoGebra in an activity based on Mathematical Research. This is an exploratory qualitative research with the purpose of analyzing patterns, ideas or hypotheses of the students involved. The elaboration process was divided in the construction of the lesson plan and in the stages that compose it, with intentionalities in the exploration and formulation of conjectures. There were three moments in the application, the first sought to analyze the class with an individualized initial form; in the second, stages were proposed in pairs for students to build their own knowledge with the teacher's mediation according to the moments of Mathematical Investigation; in the third, an individualized final form was applied in order to compare (initial form and final form) and evaluate the procedures performed. The work showed how investigative activities enrich the teaching-learning of symmetries, with theoretical support in the Mathematical Investigation proposed by Ponte (1998, 2003 and 2006). It is concluded that the investigative activity enables greater involvement of the students and that the use of the GeoGebra software helped in the teaching-learning process.