Os teoremas de Stewart e de Heron e o cálculo da área de um triângulo em função dos lados

• Ano de defesa: 2014
• Autor(a) principal: Oliveira, Carlos Alberto Maziozeki de
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Tecnológica Federal do Paraná; Curitiba; Mestrado Profissional em Matemática em Rede Nacional
• Palavras-chave em Português: Demonstração automática de teoremas; Triângulo; Geometria plana; Matemática - Estudo e ensino; Matemática; Automatic theorem proving; Triangle; Geometry, Plane; Mathematics - Study and teaching; Mathematics
• Link de acesso: http://repositorio.utfpr.edu.br/jspui/handle/1/801

This dissertation was organized from the observation that mathematical theorems as Stewart’s theorem and Heron’s theorem are rarely used in mathematics classes in middle and high schools. The contributions of these mathematicians in calculating cevians and area of triangles can simplify the solution of many problems. As a starting point, we prepared one extracurricular activity containing four questions centered on Stewart’s theorem and applied the same in three high school classes of CPM-PR. From the analysis of the results of this activity, we defined the literature, the text structure and organization of a collection of applied problems.