O material manipulável Algeblocks: uma proposta para o ensino médio

• Ano de defesa: 2020
• Autor(a) principal: Camargo, Alex Sander Martins de
• Orientador(a): Oliveira, Paulo César
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de São Carlos; Câmpus Sorocaba
• Programa de Pós-Graduação: Programa de Pós-Graduação em Ensino de Ciências Exatas - PPGECE
• Palavras-chave em Português: Algeblocks; Conceitos figurais; Material manipulável; Representações figurais; Tarefas exploratório-investigativas; Figurative concepts; Manipulated material; Figurative representations; Exploratory-investigative tasks
• Área do conhecimento CNPq: CIENCIAS EXATAS E DA TERRA::MATEMATICA
• Link de acesso: https://repositorio.ufscar.br/handle/ufscar/12646

This work had the purpose of developing an educational product in the form of a teaching proposal for the algebra of high school grades. More specifically, to propose studies of algebraic content through the use of concrete manipulative material called Algeblocks. Given the theoretical and methodological support of the exploratory-investigative tasks proposed by João Pedro da Ponte and his collaborators, in addition to the figurative representations of Efraim Fischbein, four tasks were planned, involving the following contents: second degree function; concepts of regular polygons; resolution, analysis and discussion of linear systems with two equations and two variables using scaling; approach to prism concepts (surface area and volume) and Euler relationship. For each of the tasks, a possible resolution script was presented, articulated with the theoretical frameworks presented in this research. In terms of the potential of didactic material, we highlight that it is a relevant resource for the establishment of representation records, both geometric and algebraic; versatile for use in elementary and high school content. A reflection on the limitations of the material is that it does not guarantee the validity of mathematical statements in a mathematical investigation.