JOURNAL BROWSE
Search
Advanced SearchSearch Tips
Integrating Math and Music: Teaching Ideas
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
  • Journal title : Research in Mathematical Education
  • Volume 19, Issue 3,  2015, pp.177-193
  • Publisher : Korea Society of Mathematical Education
  • DOI : 10.7468/jksmed.2015.19.3.177
 Title & Authors
Integrating Math and Music: Teaching Ideas
NOH, Jihwa; HUH, Nan;
  PDF(new window)
 Abstract
Mathematical creativity, an important goal in mathematics education, can be promoted through an integrated learning environment where students explore mathematics with other subject areas such as science, technology, engineering and art. Establishing such learning environments is not a trivial task. Therefore, this creates a need for the development of instructional resources promoting meaningful integration. This paper focuses on integration of the fields of mathematics and music. Beginning with some of the historical discoveries and views of the connections between mathematics and music, this paper attends to several musical concepts correlating to middle school mathematical content and then provides ideas for teaching.
 Keywords
integrating;integrated lesson;music;
 Language
English
 Cited by
 References
1.
Andrews, C. (2006). Perfect Harmony. Times Educational Supplement, 4667, 22. Retrieved November26, 2007, from Lexis Nexis database.

2.
Benson, D. (2007). Music:A Mathematical Offering. Cambridge, UK: Cambridge University Press.

3.
Capleton, B. (2006). Music, Mathematics, Philosophy and Tuning: Harmonic theory pages. Retrieved January30,2008,from http://amarilli.co.uk/piano/theory/pythcrcl.asp

4.
Chandler, M. (2007). In This Class, Math Comes with Music. The Washington Post Online.

5.
DuSautoy, M. (2003). The Music of the Primes: Searching to solve the greatest mystery in mathematics. Harpers Collins Publishers.

6.
Dyck, M. (1960). Novalis and Mathematics: A Study of Friedrich von Hardenberg's Fragments on Mathematics and its Relation to Magic, Music, Religion, Philosophy, Language, and Literature. Chapel Hill, NC: University of North Carolina Press.

7.
Edelson, R. J. & Johnson, G. (2003). Music makes math meaningful. Childhood Education 80(2), 65-70. crossref(new window)

8.
Fauvel, J., Flood, R., & Wilson, R.J.(Eds.) (2003). Music and Mathematics: From Pythagoras to Fractals. New York, NY: Oxford University Press.

9.
Haack, J. (1998). The Mathematics of Steve Reich's Clapping Music. Bridges: Mathematical connections in Art, Music, and Science; Conference Proceeding. Arkansas City, KS: Gilliland Printing.

10.
Harkleroad, L. (2006). The Math Behind the Music. New York, US: Cambridge University Press.

11.
Hinds, D. (2006). Beating a Path Between Music and Maths. The Times Educational Supplement, 4714, p. 48. Retrieved September28,2007,from Lexis Nexis database.

12.
Houser, D. (2002). Roots in Music. Mathematics Teacher. The National Council of Teachers of Mathematics, Inc.

13.
Johnson, C. M. (2001). Functions of Number Theory in Music. Mathematics Teacher 94(8), 701- 707.

14.
Ju, M.; Moon, J. & Song, R. (2012). Convergence Education in Mathematics: Issues and Tasks. School Mathematics,14(1), 165-190

15.
Link, J. (1977). The Mathematics of Music. Baltimore, MA: Gateway Press.

16.
Loy, G. (2007). Musicmatics: The Mathematical Foundations of Music (Vols.1-2). Cambridge, MA: The MIT Press.

17.
Madden, C. (1999). Fractals in Music: Introductory Mathematics for Musical Analysis. Salt Lake City, UT: High Art Press.

18.
May, M. (1998). Did Mozart use the Golden Section? American Scientist 84(2), p. 1.

19.
Putz, J. F. (1995). The Golden Section and the Piano Sonatas by Mozart. Mathematics Magazine, 68(4), 275-282. crossref(new window)

20.
Rogers, G. (2004). Interdisciplinary Lessons in Musical Acoustics: The Science-Math-Music Connection. Music Educators Journal 91(1), 25-30.

21.
Saminsky, L. (1957). Physics and Metaphysics of Music. Physics and Metaphysics of Music and Essays on the Philosophy of Mathematics. Hague, Netherlands: Martinus Nijhoff.

22.
Santu, D. (1998). The Math behind Music: Pitches, Scales, Geometry. Math Forum. http://mathforum. org/library/drmath/view/52312.html

23.
Schaffer, K., Stern, E. & Kim, S. (2001). Math Dance with Dr. Schaffer and Mr. Stern. Preliminary Edition.

24.
Wilson, E. (2005). Consilience: The unity of Knowledge. New York, USA:Vintage Books. Retrieved from: http://wtf.tw/ref/wilson.pdf

25.
Zhan, C. (2008). The Correlation between Music and Math: A Neurobiology Perspective. Retrieved January 30, 2008, from http://serendip.brwnmawr.edu/