Geometria Projetiva no ensino do espaço tridimensional e na estrutura de jogo de Dobble

• Ano de defesa: 2019
• Autor(a) principal: Pavaneli, Maicon Donizetti Dias
• Orientador(a): Moura, Renato José de
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de São Carlos; Câmpus São Carlos
• Programa de Pós-Graduação: Programa de Mestrado Profissional em Matemática em Rede Nacional - PROFMAT
• Palavras-chave em Português: Geometria projetiva
• Palavras-chave em Inglês: Geometry, Projective
• Área do conhecimento CNPq: CIENCIAS EXATAS E DA TERRA::MATEMATICA
• Link de acesso: https://repositorio.ufscar.br/handle/20.500.14289/11289

Projective Geometry gives us the means to demonstrate and discover properties of figures, it is a possibility to understand mathematically the study of the descriptive properties of geometric figures. And after Poncelet offering his own means to demonstrate and discover properties of figures having thus the end of the intuitive “age” of Projective Geometry. We study in this work the basic fundamentals of the projective geometry, its representation and manipulation. We used a didactic sequence based on didactic engineering, first investigating and finally a posteriori analysis. Activities will be presented where students will learn some techniques for better spatial representation using Geogebra. In the end a game is presented, called Dobble’s game, in which we made an exposition of mathematical concepts that involve the structure of the game.