Theoretical And Practical Pedagogy Of Mathematical Music Theory
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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.
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.
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.
Body And Force In Music
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Author : Youn Kim
language : en
Publisher: Taylor & Francis
Release Date : 2022-09-01
Body And Force In Music written by Youn Kim and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-01 with Music categories.
Our understanding of music is inherently metaphorical, and metaphoricity pervades all sorts of musical discourses, be they theoretical, analytical, philosophical, pedagogical, or even scientific. The notions of "body" and "force" are the two most pervasive and comprehensive scientific metaphors in musical discourse. Throughout various intertwined contexts in history, the body–force pair manifests multiple layers of ideological frameworks and permits the conceptualization of music in a variety of ways. Youn Kim investigates these concepts of body and force in the emerging field of music psychology in the late nineteenth and early twentieth centuries. The field’s discursive space spans diverse contexts, including psychological theories of auditory perception and cognition, pedagogical theories on the performer’s bodily mechanism, speculative and practical theories of musical rhythm, and aesthetical discussion of the power of music. This investigation of body and force aims to illuminate not just the past scene of music psychology but also the notions of music that are being constructed at present.
The Routledge Companion To Aural Skills Pedagogy
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Author : Kent Cleland
language : en
Publisher: Taylor & Francis
Release Date : 2021-03-18
The Routledge Companion To Aural Skills Pedagogy written by Kent Cleland and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-18 with Education categories.
The Routledge Companion to Aural Skills Pedagogy offers a comprehensive survey of issues, practice, and current developments in the teaching of aural skills. The volume regards aural training as a lifelong skill that is engaged with before, during, and after university or conservatoire studies in music, central to the holistic training of the contemporary musician. With an international array of contributors, the volume captures diverse perspectives on aural-skills pedagogy, and enables conversation between different regions. It addresses key new developments such as the use of technology for aural training and the use of popular music. This book will be an essential resource and reference for all university and conservatoire instructors in aural skills, as well as students preparing for teaching careers in music.
The Work Of Music Theory
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Author : Thomas Christensen
language : en
Publisher: Routledge
Release Date : 2017-10-23
The Work Of Music Theory written by Thomas Christensen and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-23 with History categories.
This collection brings together an anthology of articles by Thomas Christensen, one of the leading historians of music theory active today. Published over the span of the past 25 years, the selected articles provide a historical conspectus about a range of vital topics in the history of music theory, focusing in particular upon writings from the seventeenth and eighteenth centuries. Christensen examines a variety of theorists and their arguments within the intellectual and musical contexts of their time, in the process highlighting the diverse and idiosyncratic nature of the discipline of music theory itself. In the first section of the book Christensen offers general reflections on the meaning and interpretation of historical music theories, with especial attention paid to their value for music theorists today. The second section of the book contains a number of articles that consider the catalytic role of the thorough bass in the development of harmonic theory during the seventeenth and eighteenth centuries. In the final two sections of the anthology, focus turns to the writings of several individual music theorists, including Marin Mersenne, Seth Calvisius, Johann Mattheson, Johann Nicolaus Bach, Denis Diderot and Johann Nichelmann. The volume includes essays from hard-to-find publications as well as newly-translated material and the articles are prefaced by a new, wide-ranging autobiographical essay by the author that offers a broad re-assessment of his historical project. This book is essential reading for music theorists and seventeenth- and eighteenth-century musicologists.
Journal Of Music Theory Pedagogy
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Author :
language : en
Publisher:
Release Date : 2005
Journal Of Music Theory Pedagogy written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Music categories.
The Oxford Handbook Of Assessment Policy And Practice In Music Education Volume 1
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Author : Timothy S. Brophy
language : en
Publisher: Oxford University Press
Release Date : 2019-01-02
The Oxford Handbook Of Assessment Policy And Practice In Music Education Volume 1 written by Timothy S. Brophy and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-02 with Music categories.
In the music classroom, instructors who hope to receive aid are required to provide data on their classroom programs. Due to the lack of reliable, valid large-scale assessments of student achievement in music, however, music educators in schools that accept funds face a considerable challenge in finding a way to measure student learning in their classrooms. From Australia to Taiwan to the Netherlands, music teachers experience similar struggles in the quest for a definitive assessment resource that can be used by both music educators and researchers. In this two-volume Handbook, contributors from across the globe come together to provide an authority on the assessment, measurement, and evaluation of student learning in music. The Handbook's first volume emphasizes international and theoretical perspectives on music education assessment in the major world regions. This volume also looks at technical aspects of measurement in music, and outlines situations where theoretical foundations can be applied to the development of tests in music. The Handbook's second volume offers a series of practical and US-focused approaches to music education assessment. Chapters address assessment in different types of US classrooms; how to assess specific skills or requirements; and how assessment can be used in tertiary and music teacher education classrooms. Together, both volumes of The Oxford Handbook of Assessment in Music Education pave the way forward for music educators and researchers in the field.