MATEMÁTICA E MÚSICA: UMA ABORDAGEM PARA EXPLORAR CONCEITOS MUSICAIS PARA ENSINAR MATEMÁTICA NO ENSINO MÉDIO E FUNDAMENTAL

Detalhes bibliográficos
Ano de defesa: 2015
Autor(a) principal: Santos, Rodovlas Fabiano dos lattes
Orientador(a): Grossi, Luciane lattes
Banca de defesa: Silva, Sani de Carvalho Rutz da lattes, Oliveira, Fabiane de lattes
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: UNIVERSIDADE ESTADUAL DE PONTA GROSSA
Programa de Pós-Graduação: Programa de Pós-Graduação em Matemática (Profissional em Rede Nacional)
Departamento: Matemática
País: BR
Palavras-chave em Português:
Palavras-chave em Inglês:
Área do conhecimento CNPq:
Link de acesso: http://tede2.uepg.br/jspui/handle/prefix/1503
Resumo: Music is without any doubt one of the main ways to express culture, gender and personal tastes. Western music in general has the same musical basis which has its core in simple mathematical concepts. This study aims to bring mathematical concepts to high and elementary school students through the history of music. This essay proposes a literature review about the importance and the contributions of Pitagoras in the construction of Diatonic Scale and the influence that pitagorian studies exert in the Equal Tempered Scale, used nowadays. This paper is based in official documents such as PCN and PCNEM (National Curricular Parameters and National Curricular Parameters of High School) and curricular guidelines about the study of Mathematics allying mathematical subjects to daily life concepts, in this case, musical concepts. Activities that can be reproduced by Mathematics teachers even when the teacher does not have advanced musical knowledge are studied in this paper, for example, studying fractions aiming to build a monochord with the program Geogebra exploring sound concepts described by exponential and trigonometric functions.