Vídeos didáticos e atividades baseadas na história da matemática: uma proposta para explorar as geometrias não Euclidianas na formação docente

Abstract

By means of the literature inherent in the subject of this study, it is possible to notice that non-Euclidean geometries are little explored in teacher education, however documents that guide education in the state of Paraná propose that these concepts are explored in Mathematics classes. Therefore, some actions are necessary to allow teachers to enlarge their knowledge about them. Thus, it was intended to ponder the relevance of the Mathematics History knowledge to the process of Mathematics teacher training concerning the non - Euclidean geometries. Developed researches plead that Mathematics History is a didactic resource that can contribute to teacher training, mainly related to non-Euclidean geometries. In this manner, the present work intends to investigate the production of didactic videos and activities based on the Mathematics History, about topics of non-Euclidean geometries that can be used in teacher training. To reach it, the theoretical references explored in this study involve researches on teacher education and Mathematics History, in addition its pedagogical use, teaching technologies, especially didactic videos, and the teaching of non-Euclidean geometries. The present investigation is qualitative and interpretive, in which the main steps were: a bibliographical research on the subjects studied; elaboration of the historical reconstruction of non-Euclidean geometries, investigation, through semi-structured interviews, about teachers who work in Basic Education and their understandings about non-Euclidean geometries, elaboration of videos and activities related to them and application of these materials in a training course. From the course that was taught to six teachers who work in Basic Education (Final Years of Elementary and Secondary Education) in the city of Leópolis-PR, it was possible to try the videos and activities that allowed to observe that they enabled them to increase their understanding of Non-Euclidean geometries showing their potential.