O som das funções: possibilidades em Tecnologias Digitais e Educação Matemática para futuros professores

Abstract

Using Digital Technologies for the teaching of mathematics is a subject debated by both researchers and teachers in the various academic spheres. While music is one of the most appreciated arts around the world, something that involves all cultures and has a strong relationship with mathematics. Knowing this, in this research, we seek to answer the following question: How future mathematics teachers produce Digital Mathematical Performances (PMD) to represent functions from musical notes? The objective was then to investigate the process of construction of PMD in its representation of functions through sound, the vision of future mathematics teachers about PMD and their pedagogical reflections on the relationships between functions and their sound representation. Bearing in mind the procedures of a qualitative research, the production of data was carried out through weekly meetings held with 10 scholars from the Institutional Scholarship Program for Teaching Initiation (PIBID) in mathematics at the Federal University of Mato Grosso do Sul (UFMS). All meetings were held through on-line video calls where we discussed the relationship between mathematics and music, studied the concept of PMD and built sound representations of the graph of the functions chosen by the participants, among others. For the analysis, we supported the definition of a conceptual PMD and the exploratory analysis of the results presented. Thus, in response to the research question, the Pibidians performed the PMD to represent functions through seven musical notes, also attributed to the insurgency of new variables in the function, thus working, ratio and proportion. Based on the above, the objective was duly achieved, as it was seen by the teachers that it is possible to use this relationship between music and mathematics for the teaching of functions. Concluding the analysis stage, we understand that the use of music to work on mathematical functions, especially with the use of PMD, presents several aspects that enhance the student's understanding and favor the production of meanings of concepts.