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Music theory analyzes the pitch, timing, and structure of music. It uses mathematics to study elements of music such as tempo, chord progression, form, and meter. The attempt to structure and communicate new ways of composing and hearing music has led to musical applications of set theory, abstract algebra and number theory.
UPDATE: Applications of Research in Music Education is a biannual peer-reviewed academic journal that covers the field of music education. The editor-in-chief is Debbie Rohwer. It was established in 1982 by Dr. Charles Elliot and is published by SAGE Publications in association with the National Association for Music Education.
In A Guide to Research in Music Education, Phelps, Ferrara and Goolsby define research as the identification and isolation of a problem into a workable plan; the implementation of that plan to collect the data needed; and the synthesis, interpretation and presentation of the collected information into some format which readily can be made available to others.
MERGA: Mathematics Education Research Group of Australasia (2011) And six international Study Groups which have obtained affiliation with ICMI: HPM: The International Study Group on the Relations between the History and Pedagogy of Mathematics (1976) ICTMA: The International Study Group for Mathematical Modelling and Applications (2003) IOWME ...
Educational Studies in Mathematics; International Journal of Science and Mathematics Education; Journal for Research in Mathematics Education; Journal of Mathematics Teacher Education; Journal of Statistics Education; Mathematics and Computer Education; Mathematics Education Research Journal; Mathematics Magazine; Philosophy of Mathematics ...
Research Studies in Music Education provides a forum for the dissemination and discussion of research in music and music education. The journal aims to encourage the interrogation and development of a range of research methodologies and their application to diverse topics in music education, theory and practice.
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The Society for Mathematics and Computation in Music (SMCM) was founded in 2006 as an International Forum for researchers and musicians working in the trans-disciplinary field at the intersection of music, mathematics and computation. The SMCM is registered in the USA.