Ski-hill Graph Pedagogy Meter Fundamentals

Ski-hill Graph Pedagogy Meter Fundamentals

Author: Andrea M. Calilhanna

Publisher: Xlibris Corporation

Published: 2024-01-03

Total Pages: 262

ISBN-13:

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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.


Book Synopsis Ski-hill Graph Pedagogy Meter Fundamentals by : Andrea M. Calilhanna

Download or read book Ski-hill Graph Pedagogy Meter Fundamentals written by Andrea M. Calilhanna and published by Xlibris Corporation. This book was released on 2024-01-03 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Mathematics and Computation in Music

Author: Mariana Montiel

Publisher: Springer

Published: 2019-06-11

Total Pages: 403

ISBN-13: 3030213927

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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.


Book Synopsis Mathematics and Computation in Music by : Mariana Montiel

Download or read book Mathematics and Computation in Music written by Mariana Montiel and published by Springer. This book was released on 2019-06-11 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Lights, Camera, Incognito

Lights, Camera, Incognito

Author: Martin P. Travis

Publisher: Xlibris Corporation

Published: 2021-05-27

Total Pages: 298

ISBN-13: 1664168974

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"Tall, handsome with steely blue eyes, Ian McGregor looked more like a leading man actor than a playwright in 1929 Hollywood. Ian is the golden boy scenarist for Universal Studios. The banter in Hollywood was that soon motion pictures would have sound, and Ian would be the writer everyone would demand to write their screenplays".


Book Synopsis Lights, Camera, Incognito by : Martin P. Travis

Download or read book Lights, Camera, Incognito written by Martin P. Travis and published by Xlibris Corporation. This book was released on 2021-05-27 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Tall, handsome with steely blue eyes, Ian McGregor looked more like a leading man actor than a playwright in 1929 Hollywood. Ian is the golden boy scenarist for Universal Studios. The banter in Hollywood was that soon motion pictures would have sound, and Ian would be the writer everyone would demand to write their screenplays".


Boys Secrets and Mens Loves

Boys Secrets and Mens Loves

Author: David A. J. Richards

Publisher: Xlibris Us

Published: 2019-06-04

Total Pages: 410

ISBN-13: 9781796037289

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Boys' Secrets and Men's Loves is the memoir of a law professor who has written over twenty books on the basic rights of American constitutionalism. He has been a prominent advocate of gay rights and feminism, which joins men and women in resistance. A gay man born into an Italian American family in New Jersey, he relates in this book his own experience on how the initiation of boys into patriarchy inflicts trauma, leading them to mindlessly accept patriarchal codes of masculinity, and how (through art, philosophy, and experience--including mutual love) he and others (straight and gay men) come to join women in resisting patriarchy through the discovery of how deeply it harms men as well as women.


Book Synopsis Boys Secrets and Mens Loves by : David A. J. Richards

Download or read book Boys Secrets and Mens Loves written by David A. J. Richards and published by Xlibris Us. This book was released on 2019-06-04 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boys' Secrets and Men's Loves is the memoir of a law professor who has written over twenty books on the basic rights of American constitutionalism. He has been a prominent advocate of gay rights and feminism, which joins men and women in resistance. A gay man born into an Italian American family in New Jersey, he relates in this book his own experience on how the initiation of boys into patriarchy inflicts trauma, leading them to mindlessly accept patriarchal codes of masculinity, and how (through art, philosophy, and experience--including mutual love) he and others (straight and gay men) come to join women in resisting patriarchy through the discovery of how deeply it harms men as well as women.


Theoretical And Practical Pedagogy Of Mathematical Music Theory: Music For Mathematics And Mathematics For Music, From School To Postgraduate Levels

Theoretical And Practical Pedagogy Of Mathematical Music Theory: Music For Mathematics And Mathematics For Music, From School To Postgraduate Levels

Author: Mariana Montiel

Publisher: World Scientific

Published: 2018-10-24

Total Pages: 324

ISBN-13: 9813228369

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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.


Book Synopsis Theoretical And Practical Pedagogy Of Mathematical Music Theory: Music For Mathematics And Mathematics For Music, From School To Postgraduate Levels by : Mariana Montiel

Download or read book 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 published by World Scientific. This book was released on 2018-10-24 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Schools of Thought

Schools of Thought

Author: Rexford G. Brown

Publisher: Jossey-Bass

Published: 1993-08-10

Total Pages: 322

ISBN-13:

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As a result of his visits to classrooms across the nation, Brown has compiled an engaging, thought-provoking collection of classroom vignettes which show the ways in which national, state, and local school politics translate into changed classroom practices. "Captures the breadth, depth, and urgency of education reform".--Bill Clinton.


Book Synopsis Schools of Thought by : Rexford G. Brown

Download or read book Schools of Thought written by Rexford G. Brown and published by Jossey-Bass. This book was released on 1993-08-10 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: As a result of his visits to classrooms across the nation, Brown has compiled an engaging, thought-provoking collection of classroom vignettes which show the ways in which national, state, and local school politics translate into changed classroom practices. "Captures the breadth, depth, and urgency of education reform".--Bill Clinton.


Teaching Physical Education

Teaching Physical Education

Author: Muska Mosston

Publisher: Prentice Hall

Published: 1994

Total Pages: 0

ISBN-13: 9780023841835

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The definitive source for the groundbreaking ideas of the "Spectrum of Teaching Styles" introduced by Mosston and Ashworth and developed during 35 years in the field. This book offers teachers a foundation for understanding the decision-making structures that exist in all teaching/learning environments and for recognizing the variables that increase effectiveness while teaching physical education. In this thoroughly revised and streamlined edition, all chapters have been updated to include hundreds of real-world examples, concise charts, practical forms, and concrete suggestions for "deliberate teaching" so that teachers can understand their classrooms' flow of events, analyze decision structures, implement adjustments that are appropriate for particular classroom situations, and deliberately combine styles to achieve effective variations. As in prior editions, individual chapters describe the anatomy of the decision structure as it relates to teachers and learners, the objectives (O-T-L-O) of each style, and the application of each style to various activities and educational goals. For physical education teachers.


Book Synopsis Teaching Physical Education by : Muska Mosston

Download or read book Teaching Physical Education written by Muska Mosston and published by Prentice Hall. This book was released on 1994 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The definitive source for the groundbreaking ideas of the "Spectrum of Teaching Styles" introduced by Mosston and Ashworth and developed during 35 years in the field. This book offers teachers a foundation for understanding the decision-making structures that exist in all teaching/learning environments and for recognizing the variables that increase effectiveness while teaching physical education. In this thoroughly revised and streamlined edition, all chapters have been updated to include hundreds of real-world examples, concise charts, practical forms, and concrete suggestions for "deliberate teaching" so that teachers can understand their classrooms' flow of events, analyze decision structures, implement adjustments that are appropriate for particular classroom situations, and deliberately combine styles to achieve effective variations. As in prior editions, individual chapters describe the anatomy of the decision structure as it relates to teachers and learners, the objectives (O-T-L-O) of each style, and the application of each style to various activities and educational goals. For physical education teachers.


About Face

About Face

Author: Alan Cooper

Publisher: John Wiley & Sons

Published: 2014-09-02

Total Pages: 724

ISBN-13: 1118766571

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The essential interaction design guide, fully revised and updated for the mobile age About Face: The Essentials of Interaction Design, Fourth Edition is the latest update to the book that shaped and evolved the landscape of interaction design. This comprehensive guide takes the worldwide shift to smartphones and tablets into account. New information includes discussions on mobile apps, touch interfaces, screen size considerations, and more. The new full-color interior and unique layout better illustrate modern design concepts. The interaction design profession is blooming with the success of design-intensive companies, priming customers to expect "design" as a critical ingredient of marketplace success. Consumers have little tolerance for websites, apps, and devices that don't live up to their expectations, and the responding shift in business philosophy has become widespread. About Face is the book that brought interaction design out of the research labs and into the everyday lexicon, and the updated Fourth Edition continues to lead the way with ideas and methods relevant to today's design practitioners and developers. Updated information includes: Contemporary interface, interaction, and product design methods Design for mobile platforms and consumer electronics State-of-the-art interface recommendations and up-to-date examples Updated Goal-Directed Design methodology Designers and developers looking to remain relevant through the current shift in consumer technology habits will find About Face to be a comprehensive, essential resource.


Book Synopsis About Face by : Alan Cooper

Download or read book About Face written by Alan Cooper and published by John Wiley & Sons. This book was released on 2014-09-02 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essential interaction design guide, fully revised and updated for the mobile age About Face: The Essentials of Interaction Design, Fourth Edition is the latest update to the book that shaped and evolved the landscape of interaction design. This comprehensive guide takes the worldwide shift to smartphones and tablets into account. New information includes discussions on mobile apps, touch interfaces, screen size considerations, and more. The new full-color interior and unique layout better illustrate modern design concepts. The interaction design profession is blooming with the success of design-intensive companies, priming customers to expect "design" as a critical ingredient of marketplace success. Consumers have little tolerance for websites, apps, and devices that don't live up to their expectations, and the responding shift in business philosophy has become widespread. About Face is the book that brought interaction design out of the research labs and into the everyday lexicon, and the updated Fourth Edition continues to lead the way with ideas and methods relevant to today's design practitioners and developers. Updated information includes: Contemporary interface, interaction, and product design methods Design for mobile platforms and consumer electronics State-of-the-art interface recommendations and up-to-date examples Updated Goal-Directed Design methodology Designers and developers looking to remain relevant through the current shift in consumer technology habits will find About Face to be a comprehensive, essential resource.


Physics for Scientists and Engineers with Modern Physics

Physics for Scientists and Engineers with Modern Physics

Author: Raymond A. Serway

Publisher: Cengage Learning

Published: 2014

Total Pages: 0

ISBN-13: 9781133953982

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Achieve success in your physics course by making the most of what PHYSICS FOR SCIENTISTS AND ENGINEERS WITH MODERN PHYSICS has to offer. From a host of in-text features to a range of outstanding technology resources, you'll have everything you need to understand the natural forces and principles of physics. Throughout every chapter, the authors have built in a wide range of examples, exercises, and illustrations that will help you understand the laws of physics AND succeed in your course!


Book Synopsis Physics for Scientists and Engineers with Modern Physics by : Raymond A. Serway

Download or read book Physics for Scientists and Engineers with Modern Physics written by Raymond A. Serway and published by Cengage Learning. This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Achieve success in your physics course by making the most of what PHYSICS FOR SCIENTISTS AND ENGINEERS WITH MODERN PHYSICS has to offer. From a host of in-text features to a range of outstanding technology resources, you'll have everything you need to understand the natural forces and principles of physics. Throughout every chapter, the authors have built in a wide range of examples, exercises, and illustrations that will help you understand the laws of physics AND succeed in your course!


Nurse as Educator

Nurse as Educator

Author: Susan Bacorn Bastable

Publisher: Jones & Bartlett Learning

Published: 2008

Total Pages: 689

ISBN-13: 0763746436

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Designed to teach nurses about the development, motivational, and sociocultural differences that affect teaching and learning, this text combines theoretical and pragmatic content in a balanced, complete style. --from publisher description.


Book Synopsis Nurse as Educator by : Susan Bacorn Bastable

Download or read book Nurse as Educator written by Susan Bacorn Bastable and published by Jones & Bartlett Learning. This book was released on 2008 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed to teach nurses about the development, motivational, and sociocultural differences that affect teaching and learning, this text combines theoretical and pragmatic content in a balanced, complete style. --from publisher description.