GeoGebra e aprendizagem significativa de seções cônicas: uma proposta de curso para a graduação

Abstract

This dissertation analyzes the use of GeoGebra software to meaningful learning about conic sections (parabola, circle, ellipse and hyperbola). To this end, an extension course was planned and taught at the Universidade de Caxias do Sul (UCS), aimed at undergraduate students in Mathematics and Engineering, in which there is a significant number of dropouts, and the topic addressed here is often pointed out as being very difficult for students. The activities promoted involved constructions of conic sections in GeoGebra and the resolution of exercises on paper, promoting the articulation between different representations of the objects of study and the transformations between one representation and another, showing ways in which the software can be useful, when used both in solving exercises and in exploring the properties of conic sections. The research, with a qualitative approach, used questionnaires and records of participants' productions, analyzed based on the thematic analysis technique. The results indicate that GeoGebra favors the development of meaningful learning by allowing the dynamic manipulation of representations and the active participation of students. [resumo fornecido pelo autor]