A relação de Euler para poliedros

• Ano de defesa: 2014
• Autor(a) principal: Santos, Odilon Júlio dos
• Orientador(a): Dias, Claudio Carlos
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal do Rio Grande do Norte
• Programa de Pós-Graduação: Programa de Pós-Graduação em Matemática em Rede Nacional
• Departamento: Álgebra; Análise matemática; Ensino de matemática; Geometria e topologia; Matemática aplicada
• País: BR
• Palavras-chave em Português: Ensino de matemática. Relação de Euler. Manipulação de materiais concretos. Poliedros convexos. Característica de Euler
• Palavras-chave em Inglês: Teaching math. Euler Relation. Manipulation of concrete materials. Convex polyhedra. The Euler characteristic
• Área do conhecimento CNPq: CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
• Link de acesso: https://repositorio.ufrn.br/jspui/handle/123456789/18668

In this paper we analyze the Euler Relation generally using as a means to visualize the fundamental idea presented manipulation of concrete materials, so that there is greater ease of understanding of the content, expanding learning for secondary students and even fundamental. The study is an introduction to the topic and leads the reader to understand that the notorious Euler Relation if inadequately presented, is not sufficient to establish the existence of a polyhedron. For analyzing some examples, the text inserts the idea of doubt, showing cases where it is not fit enough numbers to validate the Euler Relation. The research also highlights a theorem certainly unfamiliar to many students and teachers to research the polyhedra, presenting some very simple inequalities relating the amounts of edges, vertices and faces of any convex polyhedron, which clearly specifies the conditions and sufficient necessary for us to see, without the need of viewing the existence of the solid screen. And so we can see various polyhedra and facilitate understanding of what we are exposed, we will use Geogebra, dynamic application that combines mathematical concepts of algebra and geometry and can be found through the link http://www.geogebra.org