Teaching the sine function based on musical sounds
DOI:
https://doi.org/10.5007/1981-1322.2025.e107371Keywords:
Trigonometric Functions, Music, Global Figural InterpretationAbstract
In Ancient Greece, music and mathematics were considered pillars of knowledge. It was in the 6th century BC that the first record of the relationship between these pillars appeared, in the so-called quadrivium. Over time, this relationship became closer, and today it can be established and studied at school. Knowing the relationship between music and mathematics can be a positive factor for teachers who teach trigonometric functions. In this sense, the present work aims to investigate the curve outline of the sine trigonometric function, in order to establish relationships with musical sounds, starting from a simplified mathematical model applied in GeoGebra. To this end, the Global Figural Interpretation Theory, proposed by the Theory of Semiotic Representation Registers (TRRS), is used. As a result, it is possible to recognize and understand the interference of the sine function parameters in sound production, as well as the direction of these parameters in the sound wave, particularly in the case of the musical note MI.
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Copyright (c) 2025 Lúcia Menoncini , Emanuela Graziela Dilkin
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