Transformações geométricas afins: uma abordagem utilizando GeoGebra e Python

Abstract

This work proposes the study of geometric transformations, in particular affine transformations, with the general objective of carrying out a study of the main definitions and results related to affine transformations in the plane and in space. Aiming to investigate from an algebraic/analytical point the geometric transformations and still use the technological resources as a means to use them. Therefore, during the execution of the process, we developed an application - using Python - in order to explore/interpret the geometric consequences arising from the application of translation and rotation transformations in the plane. After completing the application, some students from the Mathematics course - UNIPAMPA - Campus Itaqui with some experience / familiarity with the programming language were invited. With the academics who were interested, a meeting was held via Google Meet, in which activities were proposed to be carried out in GeoGebra and also in Google Colab (using Python). After completing the activities, participants were invited to respond to a form designed to validate the developed tool, classifying it in terms of usability and comparing both resources used. The analysis of the collected data followed a qualitative approach and, among the results presented, it was possible to observe an interest in the developed application, mainly considering that advanced settings on the personal machine are not necessary to run the application. In addition, we can see a greater familiarity of participants with GeoGebra and the lack of opportunity to improve knowledge related to some type of programming language, for example, Python, since algorithms and programming have been, in general, topics covered in the last semesters of the course.