Uma introdução às geometrias não-euclidianas com aplicações para o ensino médio

Abstract

This work aims to propose an introduction to the teaching of Non-Euclidean Geometry to Secondary Education through the analysis of the National Common Curricular Base (BNCC), of the Ministry of Education, based on the specific mathematics competencies for secondary education, as well as the skills to be achieved by students during the teaching-learning process, listed in the text of the aforementioned Base. To this end, a bibliographic survey was carried out based on a literature review on the main theories that guide scientific work regarding the content of non-Euclidean geometry and the teaching-learning guidelines of the BNCC, offering a subsidy to mathematics teachers in high school for a possible insertion of this theme in the discipline's curriculum.