Semelhança de triângulos: atividades práticas com o auxílio do geogebra

• Ano de defesa: 2019
• Autor(a) principal: Angelin, Arlindo Moacir
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de Santa Maria; Brasil; Matemática; UFSM; Programa de Pós-Graduação em Matemática em Rede Nacional; Centro de Ciências Naturais e Exatas
• Palavras-chave em Português: Teorema de Tales; Resolução de problemas; Aplicações práticas; Protagonismo do aluno; Tales theorem; Problem solving; Practical applications; Protagonism of the student; CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
• Link de acesso: http://repositorio.ufsm.br/handle/1/19712

In this paper we elaborate and apply a proposal of activities for students of the 9th grade of Elementary School with the objective of making the study of Geometry more attractive and significant. The contents worked were Similarity of Triangles, Tales’ Theorem and homotheties. We use similarity of triangles to solve practical problems as inaccessible height calculation. The technique used in this paper was the problem solving proposed by Polya (POLYA, 2006). In addition, we use GeoGebra software in several activities involving cases of triangle similarity. Finally, we performed a practical activity involving the classic problem of the Eupaline tunnel (RODRIGUES, 2010). The application of the proposal provided students leading situations, creating a significant increase in knowledge gained in relation to the properties studied.