Poliedros de Platão via história da matemática: uma proposta de caderno de atividades para o professor

Abstract

This work had as general objective to elaborate and to discuss a didactic sequence that presented the Platonic Solids through the history of Mathematics. To this end, we set out specific objectives: select the didactic textbooks of High School, used in the city of Rio Tinto and approved in the PNLD, that address the content related to Platonic Solids; verifying the presence of the History of Mathematics in the content related to Platonic Solids; Conduct consultations in books, websites and magazines in order to bibliographically subside the proposal of the activity book; to present the History of Mathematics together with other methodological perspectives for the teaching of Mathematics, such as: concrete materials, technologies and software. In order to justify this work, we are based on the Parâmetros Curriculares Nacionais (BRASIL, 1998), and authors such as Mendes (2001), D'Ambrósio (1999), Romanato (2009), Boyer (2010), Gil (2002), Lorenzato (1995), Jankvist (2009), Gérard and Roegiers (1998), and Sebastiani Ferreira (1998), among others. It was a bibliographical and documentary research. We verified that the history of mathematics was barely discussed in the didactic textbook, restricting yourself to show only some "curiosities" moments about the life of famous mathematicians and that it was possible to write a Notebook of activities for the teacher of Mathematics, using the history of Mathematics in the teaching of Platonic Solids in conjunction with other methodological teaching strategies. We recommend that this research initiate future research that aims to validate the activities proposed in this work in training courses with teachers and together with high school students.