Course Websites

Paul Klee, Ad Parnassum (1932)

MUSC 116 Music Theory II
MUSC 215 Music Theory III
MUSC 216 Music Theory IV
MUSC 336 Introduction to Computer Music
MUSC 525 Post-Tonal Theory
MUSC 540 Projects in Computer Music
MUSC 725 Contemporary Styles II (1945-80)
MUSC 726B Music and Mathematics
MUSC 726C The Counterpoint of J.S. Bach
MUSC 726T Tuning Theory
MUSC 737 Advanced Projects in Computer Music

Resources


Lautzenheiser (1992) identifies some qualities of successful teachers:

  1. They are CARING.
  2. They show tremendous DEDICATION.
  3. They always HAVE TIME for their students.
  4. They have a good SENSE OF HUMOR.
  5. They can COMMUNICATE well.
  6. They ENJOY teaching.
  7. They show PERSONAL DISCIPLINE.
  8. They are FAIR.
  9. They demonstrate PERSISTENCE.
  10. They RESPECT their students.

— Tim Lautzenheiser, The Art of Successful Teaching


The only source of knowledge is experience.

— Albert Einstein

All genuine learning is active, not passive. It involves the use of the mind, not just the memory. It is a process of discovery, in which the student is the main agent, not the teacher.

— Mortimer Adler

The role of the teacher is to create the conditions for invention rather than provide ready-made knowledge.

— Seymour Papert


What the hand does, the mind remembers.

— Maria Montessori


...Fux truly realized that teaching means to impart learning and that in order to assume his role as interpreter of the past, the teacher himself must assume the role of disciple.

— Alfred Mann


...20 percent of the children in a certain elementary school were reported to their teachers as showing unusual potential for intellectual growth. The names of these 20 percent of the children were drawn by means of a table of random numbers, which is to say that the names were drawn out of a hat. Eight months later these unusual or 'magic' children showed significantly greater gains in IQ than did the remaining children who had not been singled out for the teachers' attention. The change in the teachers' expectations regarding the intellectual performance of these allegedly 'special' children had led to an actual change in the intellectual performance of these randomly selected children.

— Robert Rosenthal and Lenore Jacobson, Pygmalion in the Classroom



Frameworks

  • Bloom's Taxonomy (Anderson, Krathwohl and Bloom 2001)
  •      Patricia Armstrong on Bloom's Taxonomy {Vanderbilt}
  • Gardner's Theory of Multiple Intelligences (MI) (Gardner 1983)
  •      The components of MI {MI Oasis}
  •      Howard Gardner on his Theory of Multiple Intelligences (1997) {Edutopia}
  •      Youki Terada, Multiple Intelligences Theory: Widely Used, Yet Misunderstood (2018) {Edutopia}
  • Universal Design for Learning (UDL) {CAST.org}
  •       Learning Guidelines {CAST.org}

Teaching & Learning Resources


Teaching Music Theory

  • AP Music Theory {College Board}
  • Engaging Students: Essays in Music Pedagogy Journal
  •      Vol. 1-6; Vol. 7-present
  • Gotham, et al., Open Music Theory, v2
  • IB Music {IBO}
  • Journal of Music Theory Pedagogy {App State}
  • Lumsden and Swinkin, eds., The Norton Guide to Teaching Music Theory {GBd} (Lumsden and Swinkin 2018)
  • Rogers, Teaching Approaches in Music Theory, 2/e {GB} (Rogers 2004)
  • Society for Music Theory (SMT), Music Theory Online {MTO}
  • VanHandel, ed., The Routledge Companion to Music Theory Pedagogy {GB} (VanHandel 2020)


By forming and developing a set of consistent conceptual principles and a personalized belief system for teaching theory from an awareness of the similarities/differences and strengths/weaknesses of competing systems, we simultaneously solidify our own values and open our minds and ears to additional possibilities.

— Michael Rogers, Teaching Approaches in Music Theory



Music, Science, Mathematics & Technology

  • Acoustical Society of America {AcousticalSociety.org}
  • American Mathematical Society {AMS.org}
  •      Mathematics and Music {AMS.org}
  • Association for Computing Machinery (ACM): Advancing Education {acm.org}
  • Association for Technology in Music Instruction {ATMImusic.com}
  • Computational Thinking {CMU.edu} (Wing 2006)
  •      Computational thinking, 10 years later (Wing 2016) {Microsoft.com}
  • HoTEL (HOlistic approach to Technology Enhanced Learning) {Hotel-project.eu}
  •      Richard Millwood, Learning Theory v6, a hypertextual concept map of established learning theories {Richardmillwood.net}
  • IRCAM Forum {forum.IRCAM.fr}
  • ISTE Standards for Educators {ITSE.org}
  • Mathematics Across the Curriculum {Dartmouth}
  • Mathematical Association of America {MMA.org}
  • National Science Foundation {NSF.org}
  •       Broader Impacts {}NSF.org}; Eduction {}NSF.org}
  • New Interfaces for Musical Expression {NIME.org}
  • Society for Mathematics and Computation in Music (SMCM) {SMCM-net.info}
  • STEM: Science, technology, engineering, and mathematics {WP}
  • Wolfram for Education {Wolfram.com}
Computational thinking is a fundamental skill for everyone, not just for computer scientists.

— Jeannette M. Wing, Computational Thinking

Mathematics, rightly viewed, possesses not only truth, but supreme beauty — a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the gorgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show.

— Bertrand Russell, Mysticism and Logic



Get Inspired! Intersections between music, mathematics, science, language, philosophy, technology, and more

  • Leonard Bernstein, The Unanswered Question: Six Talks at Harvard {GB} (Bernstein 1976)
  • James Elkins, How to Use Your Eyes. {GB} (Elkins 2000)
  • Martin Gardner, Fractal Music, Hypercards, and More... {GB} (Gardner 1992)
  •       Martin Gardner Tribute in MMA Focus {MAA.org}
  • James Gleick, Chaos: The Making of a New Science {GB} (Gleick 1989)
  • David Goodstein, The Mechanical Universe {YouTube Playlist} (Goodstein 1985)
  • Brian Greene, The Elegant Universe {GB; PBS} (Greene 2003)
  • Brady Haran, Numberphile {YouTube Channel; Website}
  • Douglas Hofstadter, Gödel, Escher, Bach {Wikipedia} (Hofstadter 1979)
  • Susanne Langer, Philosophy in a New Key: A Study in the Symbolism of Reason, Rite, and Art {GB} (Langer 1942)
  • Leonard B. Meyer, Emotion and Meaning in Music {GB} (Meyer 1956)
  • Carl Sagan, Cosmos {WP}
  • Grant Sanderson, 3Blue1Brown {YouTubeChannel; Website}

  • Advancing Communication, Teaching & Learning


    Art & Science in the Media


    References

    Anderson, Lorin W., David R. Krathwohl, Benjamin S. Bloom. 2001. A Taxonomy for Learning, Teaching, and Assessing: A revision of Bloom's taxonomy of educational objectives. New York: Longman. {GBd}

    Apostol, Tom M. and James F. Blinn. 1988-2000. Project Mathematics! Video series by PBS/NASA/CalTech. {YouTube Playlist; WP}

    Bernstein, Leonard. 1976. The Unanswered Question: Six Talks at Harvard. Cambridge: Harvard University Press. {GB}

    Bloom, Benjamin. 1956. Taxonomy of Educational Objectives, Handbook I: The Cognitive Domain. New York: David McKay Co Inc. {GB}

    Bonwell, C., and J. Eison. 1991. "Active learning: Creating excitement in the classroom." ASHE–ERIC Higher Education Report No. 1. Washington, DC: The George Washington University, School of Education and Human Development. {Eric.ed.gov}

    Burns, Ken and Lynn Novick. 1998. Frank Llyod Wright: A film by Ken Burns & Lynn Novick. PBS America. {PBS}

    Calter, Paul. 2008. Squaring the Circle: Geometry in Art and Architecture. New York: Wiley. {GB}

    Elkins, James. 2000. How to Use Your Eyes. New York: Routledge. {GB}

    Gardner, Howard. 1983. Frames of Mind: The Theory of Multiple Intelligences. New York: Basic Books. {GB}

    Gardner, Martin. 1992. Fractal Music, Hypercards, and More...: Mathematical Recreations from Scientific American Magazine. New York: SA. {GB}

    Gleick, James. 1988. Chaos: The Making of a New Science. New York: Penguin. {GB}

    Goodstein, David. The Mechanical Universe...And Beyond. Video series by Annenberg/CPB/CalTech. {WP}

    Gotham, Mark, Kyle Gullings, Chelsey Hamm, Bryn Hughes, Brian Jarvis, Megan Lavengood, and John Peterson. 2020. Open Music Theory, Version 2. Viva Press Publishing. Available online at: https://viva.pressbooks.pub/openmusictheory/>.

    Greene, Brian. 2003. The Elegant Universe: Superstrings, Hidden Dimensions, and the Quest for the Ultimate Theory. New York: Norton. {GB}

    Hofstadter, Douglas. 1979. Gödel, Escher, Bach. New York: Vintage Books. {GB}

    Lautzenheiser, Tim. 1992. The Art of Successful Teaching: A Blend of Content & Context. Chicago: GIA Publications. {GB}

    Langer, Susanne. 1942. Philosophy in a New Key: A Study in the Symbolism of Reason, Rite, and Art. Cambridge, MA: Harvard University Press. {GB}

    Lumsden, Rachel and Jeffrey Swinkin, eds. 2018. Norton Guide to Teaching Music Theory. New York: Norton. {GB; Table of Contents}

    Mandlebrot, Benoit. 1983. The Fractal Geometry of Nature. New York: Holt. {GB}

    Mann, Alfred. 1958. The Study of Fugue. Mineola, NY: Dover. {GB}

    McKeachie, Wilbert and Marilla Svinicki. 2013. McKeachie's Teaching Tips, 14th ed. Belmont, CA: Cengage. {GB}

    Papert, Seymour. 1980. Mindstorms: Children, Computers, and Powerful Ideas. New York: Basic Books. {GB}

    Rogers, Michael R. 2004. Teaching Approaches in Music Theory: An Overview of Pedagogical Philosophies, 2nd ed. Carbondale, IL: Southern Illinois University Press. {GB}

    Subotnik, Rose Rosengard. 1991. Developing Variations: Style and Ideology in Western Music. St. Paul, MN:
    University of Minnesota Press. {GB}

    Rosenthal, Robert and Lenore Jacobson. 1968/1993. Pygmalion in the Classroom: Teacher Expectation and Pupils' Intellectual Development. New York: Crown House Publishing. {GB}

    Russell, Bertrand. 1918. Mysticism and Logic and Other Essays. {Gutenberg.org}

    Wilson, Edward O. 1999. Consilience: The Unity of Knowledge. New York: Vintage Books. {GB}

    Wing, Jeannette M. 2010. "Computational thinking, 10 years later." Microsoft Research Blog 49/3 (March 23, 2016). {Microsoft}

    _________________. 2006. "Computational Thinking." Communications of the ACM 49/3 (March 2006). {Carnegie Mellon}

    Wolfram, Stephen. 2002. A New Kind of Science. Champaign, IL: Wolfram {Wolfram}

    VanHandel, Leigh. 2020. The Routledge Companion to Music Theory Pedagogy. New York: Routledge. {GB}


    Credit: Word clouds created with Jonathan Feinberg's Wordle


    Updated: July 31, 2022