Arquimedes e Polya em sala de aula

• Ano de defesa: 2020
• Autor(a) principal: Borges, Kleber Alves
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de Mato Grosso; Brasil; Instituto de Ciências Exatas e da Terra (ICET); UFMT CUC - Cuiabá; Programa de Pós-Graduação Mestrado Profissional em Matemática em Rede Nacional - PROFMAT
• Palavras-chave em Português: Heurística; Centro de gravidade; Lei da alavanca; Área; Atividades; CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA; Heuristics; Center of gravity; Law of lever; Area; Activities
• Link de acesso: http://ri.ufmt.br/handle/1/4951

The aim of this work is to present a review of the text The Art of Problem Solving by George Polya, as it contains the four-phase method for solving problems based on heuristic. Also, discourse about Archimedes ‘life and works, focusing on the square of the circle based on the heuristic method and show Archimedes’ ingenuity in The Method on Mechanical Theorems when calculating the area of a region delimited by a parabolic segment and a straight segment, using the physical principles of the center of gravity and the law of the lever. Considering these ideas, to propose activities around the study of characteristics and the calculation of the area of flat geometric figures, the idea of quantities inversely proportional, based on the modern heuristic and the notions of calculation of area reported end finally employ the physical concepts of center of gravity and the law of the lever in practical experiments using the balance and the lever.