Theoretical And Practical Pedagogy Of Mathematical Music Theory
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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.
Mathematical Music Theory
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Author : Mariana Montiel
language : en
Publisher: World Scientific Publishing
Release Date : 2018-11-14
Mathematical Music Theory written by Mariana Montiel and has been published by World Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-14 with Technology & Engineering categories.
Questions about variation, similarity, enumeration, and classification of musical structures have long intrigued both musicians and mathematicians. Mathematical models can be found from theoretical analysis to actual composition or sound production. Increasingly in the last few decades, musical scholarship has incorporated modern mathematical content. One example is the application of methods from Algebraic Combinatorics, or Topology and Graph Theory, to the classification of different musical objects. However, these applications of mathematics in the understanding of music have also led to interesting open problems in mathematics itself. The reach and depth of the contributions on mathematical music theory presented in this volume is significant. Each contribution is in a section within these subjects: (i) Algebraic and Combinatorial Approaches; (ii) Geometric, Topological, and Graph-Theoretical Approaches; and (iii) Distance and Similarity Measures in Music. remove
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.
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 Computers 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.
Teaching Approaches In Music Theory
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Author : Michael R. Rogers
language : en
Publisher: SIU Press
Release Date : 2004
Teaching Approaches In Music Theory written by Michael R. Rogers and has been published by SIU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Education categories.
Drawing on decades of teaching experience and the collective wisdom of dozens of the most creative theorists in the country, Michael R. Rogers's diverse survey of music theory--one of the first to comprehensively survey and evaluate the teaching styles, techniques, and materials used in theory courses--is a unique reference and research tool for teachers, theorists, secondary and postsecondary students, and for private study. This revised edition of Teaching Approaches in Music Theory: An Overview of Pedagogical Philosophies features an extensive updated bibliography encompassing the years since the volume was first published in 1984. In a new preface to this edition, Rogers references advancements in the field over the past two decades, from the appearance of the first scholarly journal devoted entirely to aspects of music theory education to the emergence of electronic advances and devices that will provide a supporting, if not central, role in the teaching of music theory in the foreseeable future. With the updated information, the text continues to provide an excellent starting point for the study of music theory pedagogy. Rogers has organized the book very much like a sonata. Part one, "Background," delineates principal ideas and themes, acquaints readers with the author's views of contemporary musical theory, and includes an orientation to an eclectic range of philosophical thinking on the subject; part two, "Thinking and Listening," develops these ideas in the specific areas of mindtraining and analysis, including a chapter on ear training; and part three, "Achieving Teaching Success," recapitulates main points in alternate contexts and surroundings and discusses how they can be applied to teaching and the evaluation of design and curriculum. Teaching Approaches in Music Theory emphasizes thoughtful examination and critique of the underlying and often tacit assumptions behind textbooks, materials, and technologies. Consistently combining general methods with specific examples and both philosophical and practical reasoning, Rogers compares and contrasts pairs of concepts and teaching approaches, some mutually exclusive and some overlapping. The volume is enhanced by extensive suggested reading lists for each chapter.
Mathematical Music Theory
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Author :
language : en
Publisher:
Release Date : 2019
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 2019 with categories.
The Routledge Companion To Music Theory Pedagogy
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Author : Leigh VanHandel
language : en
Publisher: Routledge
Release Date : 2020-02-26
The Routledge Companion To Music Theory Pedagogy written by Leigh VanHandel and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-26 with Music categories.
Today’s music theory instructors face a changing environment, one where the traditional lecture format is in decline. The Routledge Companion to Music Theory Pedagogy addresses this change head-on, featuring battle-tested lesson plans alongside theoretical discussions of music theory curriculum and course design. With the modern student in mind, scholars are developing creative new approaches to teaching music theory, encouraging active student participation within contemporary contexts such as flipped classrooms, music industry programs, and popular music studies. This volume takes a unique approach to provide resources for both the conceptual and pragmatic sides of music theory pedagogy. Each section includes thematic "anchor" chapters that address key issues, accompanied by short "topics" chapters offering applied examples that instructors can readily adopt in their own teaching. In eight parts, leading pedagogues from across North America explore how to most effectively teach the core elements of the music theory curriculum: Fundamentals Rhythm and Meter Core Curriculum Aural Skills Post-Tonal Theory Form Popular Music Who, What, and How We Teach A broad musical repertoire demonstrates formal principles that transcend the Western canon, catering to a diverse student body with diverse musical goals. Reflecting growing interest in the field, and with an emphasis on easy implementation, The Routledge Companion to Music Theory Pedagogy presents strategies and challenges to illustrate and inspire, in a comprehensive resource for all teachers of music theory.
A Geometry Of Music
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Author : Dmitri Tymoczko
language : en
Publisher: OUP USA
Release Date : 2011-03-21
A Geometry Of Music written by Dmitri Tymoczko and has been published by OUP USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-21 with Mathematics categories.
In this groundbreaking book, Tymoczko uses contemporary geometry to provide a new framework for thinking about music, one that emphasizes the commonalities among styles from Medieval polyphony to contemporary jazz.
Composing Community In Late Medieval Music
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Author : Jane D. Hatter
language : en
Publisher: Cambridge University Press
Release Date : 2019-05-02
Composing Community In Late Medieval Music written by Jane D. Hatter and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-02 with Art categories.
An exploration of what self-referential compositions reveal about late medieval musical networks, linking choirboys to canons and performers to theorists.