Music can be defined as the art (or science) of blending vocal and/or instrumental sounds to produce form and harmony. This paper is about the mathematics which underlies both music theory and how different instruments create sounds/notes. Consideration will be given to scales, intervals, and harmonics but not rhythm although it is a fundamental…

This paper addresses the integrated use of the arts and digital technology in mathematics education--specifically involving aspects of preservice teachers' mathematical activity while engaging in music production, in pedagogic scenarios conceived of as aesthetic mathematical experiences (AMEs). Theoretically, the research evokes notions such as…

This study extends an eight-country mapping exercise (McPherson & O'Neill, 2010; see "Research Studies in Music Education" issues 2010-2011) to include students' motivation to study music within the Australian context. It sought to determine whether music learners (students learning an instrument or voice), might be more motivated to…

How should men and women be seated around a dinner table to maximize conversation between members of the opposite sex? What can be said about the distribution of points around two concentric circles? How are the white and black keys on the piano keyboard organized? What spin configuration in the Ising model minimizes energy? These four problems…

The purpose of this study was to examine elementary students' attitudes toward music in Grades 3, 4, and 5. The sample comprised of 366 Grade 3, 4, and 5 students from two different Southeastern elementary schools. The schools had different socioeconomic identities. Of the two schools selected, one school was a Title I school and one a Non-Title I…

This submission contains the Proceedings of the 2006 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at the University of Calgary in Calgary, Alberta. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of the…