This paper describes a modeling task designed to improve students’ understanding of music and related unit structures (e.g., whole note, half note). Fourteen upper elementary students were asked to build models of melodies using Cuisenaire rods and make arguments about how their models represented what they heard. Our analysis of students’ models suggested four categories of models. Students exhibited one- or two-dimensional reasoning with either (or both) height and length correspondence that varied in terms of duration and/or pitch features.
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An analysis of students’ mathematical models for music
This paper describes a modeling task designed to improve students’ understanding of music and related unit structures (e.g., whole note, half note). Fourteen upper elementary students were asked to build models of melodies using Cuisenaire rods and make arguments about how their models represented what they heard. Our analysis of students’ models suggested four categories of models. Students exhibited one- or two-dimensional reasoning with either (or both) height and length correspondence that varied in terms of duration and/or pitch features.
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- Award ID(s):
- 1852846
- PAR ID:
- 10168764
- Date Published:
- Journal Name:
- Proceedings of the Forty-Second Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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