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Music-driven geometric and topologic intuition: a case study with the Klein bottle.

Authors :
Mannone, Maria
Montiel, Mariana
Wilhelmi, Miguel R.
Source :
Journal of Mathematics & Music; Nov2024, Vol. 18 Issue 3, p311-327, 17p
Publication Year :
2024

Abstract

The comprehension of mathematical notions can profit from the personal background of a population of students, drawing upon their former knowledge in another field. In particular, the embodiment of mathematics provides us with a bridge to transfer competencies from music to intuitive understanding of non-trivial geometries and topologies. In this study, we analyse an experiment in which music composition students are introduced to the Klein bottle for the first time. Through the Ontological and Semiotic Approach (OSA), a conceptual framework in mathematics education, we evaluate the evolution from an initial intuition of the Klein bottle to a formal understanding of the object via musical renditions and verbal presentations to both neophyte and specialist audiences in mathematics. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
17459737
Volume :
18
Issue :
3
Database :
Complementary Index
Journal :
Journal of Mathematics & Music
Publication Type :
Academic Journal
Accession number :
180301576
Full Text :
https://doi.org/10.1080/17459737.2024.2344095