Geometria esférica: propostas de sequências didáticas interdisciplinares

Abstract

This paper presents a sequence of interdisciplinary activities between Mathematics and Geography in order to contribute to the teaching and learning of Spherical Geometry facilitating the appropriation of their elementary concepts for students in the 1st year of high school. Parallel to this, wants review concepts of Euclidean Geometry and make comparisons between Euclidean and Spherical Geometry, showing that both are consistent. These activities were adapted from those given by PATAKI (2003), PRESTES (2006) and ANDRADE (2011) and nd support in the PCN's to work with problem solving. A historical survey was made about non-Euclidean geometries (Hyperbolic and Spherical) starting attempts demonstration of Euclid's fth postulate until the formalization of these geometries by Lobachevski, Bolyai and Gauss (Hyperbolic Geometry) and Riemann (Spherical Geometry) in the nineteenth century. Are broached basic concepts of Spherical Geometry and Cartography that are used in the sequence of activities. The activities shown that the teacher can introduce in your class plan the basic notions of Spherical Geometry linking theory and practice and working interdisciplinarily and with contextualization.