Proceedings of Bridges 2009: Mathematics, Music, Art, Architecture, Culture
Pages 279–286
Regular Papers
Abstract
This paper offers connections between representations in a number of multisensory modes—visual, tactile and audible/musical—that explore a single underlying conceptual structure of periodicity and factorization. A number line is explored in visual, musical and tactile modes with regard to the relationship between regular periodic rhythms; then spirographic geometric patterns and the visual and musical patterns produced by the use of circular representations of musical rhythms are used to develop initial intuitions and observations. Throughout the process, the concept of conceptually-related multiple (multisensory, multimodal) representations is invoked as a way for mathematics learners to feel, hear and see mathematical concepts in depth.