Ensino de seções cônicas usando o GeoGebra: uma abordagem da construção sem uso de equações

Abstract

Conic sections are among the most beautiful concepts in Analytic Geometry, with wide applications across various scientific fields. This work proposes an approach for constructing these geometric loci in a virtual environment using GeoGebra and presents the results of a study conducted with undergraduate students in the final years of their program. Initially, a survey questionnaire was applied to assess their prior knowledge and conceptions. Next, a course was offered, divided into two phases: in the first, the traditional methodology was used, with the presentation of equations and applications; in the second, constructions in GeoGebra were explored and analyzed. Finally, the pedagogical impact of the process was evaluated through a final questionnaire. The following text discusses the theoretical framework and presents the main findings of the study.