Proposta de ensino de geometria não-euclidiana no ensino básico em uma escola pública da cidade de Manaus-AM

Abstract

This work aimed to analyze a proposal for teaching Spherical Geometry Spherical Geometry in high school through the Geogebra software, in a class of 2nd year of high school, a public school in the city of Manaus-AM. To therefore, among other objectives, it was sought to present a synthesis of the history of Geometry, especially the problem of the fifth postulate of Euclid, and also the origin of non-Euclidean geometries through the most significant significant attempts to demonstrate the fifth postulate. It was also also sought to introduce the essential concepts of Spherical Geometry, demonstrating some of its main results. Moreover, it was developed and applied a set of activities activities based on van Hiele's model of development of geometric development model of geometric thinking of van Hiele, using the software Geogebra, in order to to introduce the essential concepts of Spherical Geometry. As a result, it was found that the students obtained a significant learning of Spherical Geometry through activities developed through the use of Geogebra software, based on the van Hiele model, showing that this is a good strategy to introduce this content in basic education. Translated with www.DeepL.com/Translator (free version)