A pilot experiment in integrated interdisciplinary teaching at the university level: mathematics and music

Abstract

In the present work a report and an analysis of an interdisciplinary experience that was carried out under a special program to encourage the development of pilot projects with this character is presented. The proposal for the collaboration between the courses Postonal Analysis at the School of Music of Georgia State University (GSU) in the United States and Mathematical Music Theory at the Department of Mathematics and Statistics from the same university, was selected in a competition whose subject was interdisciplinary and integrated course pairing. This article consists of a presentation of some documented antecedents of this particular combination at the university level, a description of the content of both courses and the participants in this pilot, as well as an analysis of data gathered at the end of the course. A group interview was video – recorded and the general analysis of the information was carried out by means of a conceptual framework adapted to the novel combination of these disciplines. The aim was that the analysis and the conclusions could be circumscribed to concrete parameters to be able to detect, if it was the case, the precise characteristics of the collaboration that contributed to the enhancement of the processes of teaching and learning in both disciplines.

Keywords

• matemáticas y música
• análisis postonal
• teoría musical de conjuntos
• teoría de grupos
• enfoque ontosemiótico