Theoretical And Practical Pedagogy Of Mathematical Music Theory Music For Mathematics And Mathematics For Music From School To Postgraduate Levels
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Theoretical And Practical Pedagogy Of Mathematical Music Theory Music For Mathematics And Mathematics For Music From School To Postgraduate Levels
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Author : Mariana Montiel
language : en
Publisher: World Scientific
Release Date : 2018-10-24
Theoretical And Practical Pedagogy Of Mathematical Music Theory Music For Mathematics And Mathematics For Music From School To Postgraduate Levels written by Mariana Montiel and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-24 with Mathematics categories.
During the past 40 years, mathematical music theory has grown and developed in both the fields of music and mathematics. In music pedagogy, the need to analyze patterns of modern composition has produced Musical Set Theory, and the use of Group Theory and other modern mathematical structures have become almost as common as the application of mathematics in the fields of engineering or chemistry. Mathematicians have been developing stimulating ideas when exploring mathematical applications to established musical relations. Mathematics students have seen in Music in Mathematics courses, how their accumulated knowledge of abstract ideas can be applied to an important human activity while reinforcing their dexterity in Mathematics. Similarly, new general education courses in Music and Mathematics are being developed and are arising at the university level, as well as for high school and general audiences without requiring a sophisticated background in either music nor mathematics. Mathematical Music Theorists have also been developing exciting, creative courses for high school teachers and students of mathematics. These courses and projects have been implemented in the USA, in China, Ireland, France, Australia, and Spain.The objective of this volume is to share the motivation and content of some of these exciting, new Mathematical Theory and Music in Mathematics courses while contributing concrete materials to interested readers.
Theoretical And Practical Pedagogy Of Mathematical Music Theory
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Author :
language : en
Publisher:
Release Date : 2018
Theoretical And Practical Pedagogy Of Mathematical Music Theory written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.
Ski Hill Graph Pedagogy Meter Fundamentals
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Author : Andrea M. Calilhanna
language : en
Publisher: Xlibris Corporation
Release Date : 2024-01-03
Ski Hill Graph Pedagogy Meter Fundamentals written by Andrea M. Calilhanna and has been published by Xlibris Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-03 with Education categories.
This book shows teachers and students how meter fundamentals are taught through Ski-hill Graph Pedagogy, the three-step psychoacoustic mathematical music theory approach developed by music educator-researcher Andrea M. Calilhanna, inspired by contemporary meter theory of Battell Professor of the Theory of Music, Yale University, Richard Cohn. The ski-hill graph enables students to visually represent meter fundamentals mathematics through a soundbased approach experienced from listening to music in the first lessons! Students taught the meter as time signatures and beats grouped in measures understand meter as the notation. However, the ski-hill graph is a solution for understanding meter because music is acoustics (sound) and listening is central to Cohn’s sound-based theories. To apply accurate meter mathematics from the ski-hill graph to music preparation means students save time later in rehearsals from a solid start to decode their work. Visualising meter through the ski-hill layout as a summary of all pulses and all meters from listening assists students to understand their meter experiences and its mathematical aspects. Students listen, clap, tap and map with mathematics: meter beat-class, first through the ski-hill, then they apply the ski-hill mathematics to annotate, practice and compose music through other representations such as linear and circle graphs. In this way, students not only become aware of new information, but they also understand their new knowledge. Knowing and understanding mathematical elements of meter means the theory can apply to performance to improve timing, inform expression, sight-reading and much more! Without skills to analyse meter from listening to music, many important details are left out because they are hidden by notation-based understandings of music analysis. Cohn’s theories of meter, however, offer solutions to understand each pulse and meter as cycles to decode music performed and listened to. The book works through small cycles to grow listeners’ awareness of mathematical aspects of meter: mathematical music theory. The Ski-hill Graph Pedagogy approach provides students with several benefits for meter fundamentals pedagogy, including development of mathematical knowledge and practical skills to understand musical timing and expression, and increased performance confidence through more secure performances from critical thinking and metacognitive processes. Ski-hill Graph Pedagogy is suitable for most teaching styles, and provides inclusive, ethical music theory for diverse music education. Suitable for teaching meter fundamentals with students of all ages.
The Sage Handbook Of School Music Education
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Author : José Luis Aróstegui
language : en
Publisher: SAGE Publications Limited
Release Date : 2024-09-28
The Sage Handbook Of School Music Education written by José Luis Aróstegui and has been published by SAGE Publications Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-28 with Education categories.
An international overview of school music education with a broad focus on curriculum and teaching issues, alongside a contemporary perspective examining where music education meets social justice issues.
Mathematics And Computation In Music
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Author : Mariana Montiel
language : en
Publisher: Springer
Release Date : 2019-06-11
Mathematics And Computation In Music written by Mariana Montiel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-11 with Language Arts & Disciplines categories.
This book constitutes the thoroughly refereed proceedings of the 7th International Conference on Mathematics and Computation in Music, MCM 2019, held in Madrid, Spain, in June 2019. The 22 full papers and 10 short papers presented were carefully reviewed and selected from 48 submissions. The papers feature research that combines mathematics or computation with music theory, music analysis, composition, and performance. They are organized in topical sections on algebraic and other abstract mathematical approaches to understanding musical objects; remanaging Riemann: mathematical music theory as “experimental philosophy”?; octave division; computer-based approaches to composition and score structuring; models for music cognition and beat tracking; pedagogy of mathematical music theory. The chapter “Distant Neighbors and Interscalar Contiguities” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Peterson S Guide To Graduate And Professional Programs An Overview
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Author :
language : en
Publisher:
Release Date : 1993
Peterson S Guide To Graduate And Professional Programs An Overview written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Universities and colleges categories.
Resources In Education
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Author :
language : en
Publisher:
Release Date : 1997
Resources In Education written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Education categories.
Peterson S Graduate And Professional Programs
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Author : Peterson's Guides Staff
language : en
Publisher: Peterson Nelnet Company
Release Date : 2006-12-17
Peterson S Graduate And Professional Programs written by Peterson's Guides Staff and has been published by Peterson Nelnet Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-17 with Education categories.
A basic listing of all accredited graduate programs at universitites in the U.S and Canada.
Current Index To Journals In Education
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Author :
language : en
Publisher:
Release Date : 1984
Current Index To Journals In Education written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Education categories.
Eudised European Educational Research Yearbook 1998 99
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Author :
language : en
Publisher:
Release Date : 2000
Eudised European Educational Research Yearbook 1998 99 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Education categories.