A matemática da música: uma possibilidade para o ensino-aprendizagem
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2023-11-29
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Universidade Federal de Goiás
Resumo
In our society, Mathematics and Music often hold opposing positions. While the former is associated with suffering, difficulty, and, for some, even elicits repulsion, the latter is a source of enjoyment and happiness, consistently linked with feelings of pleasure and well-being. Although seemingly at odds when we consider about the sensations that each one evokes within us, music and mathematics share profound connections. In this work we study and explore these connections with the aim of gaining a deeper understanding of the history and theoretical underpinnings of music. Additionally, we propose contributions related to this subject to enhance the teaching and learning process, making it more meaningful. We believe that the most effective way to fully leverage the connections between music and mathematics is through the use of an Active Methodology. The type of methodology we chose was problematization, which presents a logical sequence that involves collecting data, raising hypotheses, discussions, experiments, reaching the synthesis and consolidation of this knowledge, and even the generalization of results. In this sense, we present proposals that involve the contents of ratios, proportions, directly and inversely proportional quantities, logarithms, operations with radicals, and trigonometric functions. We emphasize that the proposals do not aim to teach the mentioned contents from the beginning but rather to deepen these concepts, promoting more meaningful learning. The proposals we present aim to emphasize mathematics' capacity to extend into various other fields, typically aiding in the comprehension of the specific characteristics of those domains and offering tools for their systematization.
This characteristic has often been overlooked in the context of mathematics teaching and learning.
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OLIVEIRA, J. N. A matemática da música: uma possibilidade para o ensino-aprendizagem. 2023. 109 f. Dissertação (Mestrado em Matemática em Rede Nacional ) - Instituto de Matemática e Estatística, Universidade Federal de Goiás, Goiânia, 2023.