An, S. A., and Capraro, M. M. (2011). Music-math integrated activities for elementary and middle school students. Irvine, CA:
Education for All.
An, S. A., Kulm, G. O., and Ma, T. (2008). The effects of a music composition activity on Chinese students’ attitudes and beliefs
towards mathematics: An exploratory study. Journal of Mathematics Education, 1(1), 91-108.
An, S. A., Ma, T., and Capraro, M. M. (2011). Preservice teachers’ beliefs and attitude about teaching and learning mathematics
through music: An intervention study. School Science and Mathematics Journal, 111(5), 235-247.
An, S. A. (2012). The effects of music-mathematics integrated curriculum and instruction on elementary students’ mathematics
achievement and dispositions. Unpublished doctoral dissertation, Texas A&M University.
Apple, M. W. (1993). Official knowledge. New York: Routledge.
Assayag, G., Feichtinger, H. G., and Rodrigues, J. F. (2002). Mathematics and music. Berlin: Springer-Verlag.
Barger, R., and Haehl, M. (2007). Guitars, violins and geometric sequences. Mathematics Teaching in the Middle School, 12(8), 462-
466.
Beall, S. (2000). Functional melodies: Finding mathematical relationships in music. Emeryville, CA: Key Curriculum Press.
Beck, C. (2008). Juggling makes physics fun. Science and Children, 45(7), 28-32.
Benjamin, A., and Shermer, M. (2006). Secrets of mental math: The mathemagician’s guide to lightning calculation and amazing math
tricks. New York: Random House.
Benson, D. J. (2006). Music: A mathematical offering. Cambridge, UK: Cambridge University Press.
Bentley, M. L. (1995). Carpe diem. Science activities, 32(3), 23-30.
Brooks, J. G. and Brooks, M.G. (1993). The case for the constructivist classroom. Alexandria, VA: ASCD Press.
Bruner, J. (1962). The process of education. Cambridge: Harvard University Press.
European Journal of Science and Mathematics Education Vol. 1, No. 2, 2013 68
Bybee, R. W. et al (2006). The BSCS 5e instructional model: Origins, effectiveness, and applications (Executive Summary). [On-
Line] Accessed September 9, 2007 at http://www.bscs.org/pdf/bscs5eexecsummary.pdf
COMAP (2002). Mathematical models with applications [ancillary materials, Handout 9.2]. New York: W.H. Freeman
Cooper, B., and Barger, R. (2009). Listening to geometry. Mathematics Teacher, 103(2), 108-115.
Crowther, G. (2006). Learning to the beat of a different drum. Connect, 19(4), 11-13.
Dewey, J. (1970). The child and the curriculum. Chicago: Chicago University Press
Dreiner, H. K. (2008). A physics show performed by students for kids: From mechanics to elementary particle physics. The
Physics Teacher, 46(6), 358-362.
Edwards, R. (1992). Algebra magic tricks: Algecadabra! (Vol. 1). Pacific Grove, CA: Critical Thinking Press and Software.
Edwards, R. (1994). Algebra magic tricks: Algecadabra! (Vol. 2). Pacific Grove, CA: Critical Thinking Press and Software.
Eisenkraft, A. (2003). Expanding the 5E Model. The Science Teacher. 70(6), 57-59.
Fauvel, J., Flood, R., and Wilson, R. (2006). Music and mathematics: From Pythagoras to fractals. Oxford: Oxford University Press.
Featonby, D. (2010). Magic physics? Physics Education, 45(1), 24-31.
Garland, T. H., and Kahn, C. V. (1995). Math and music: Harmonious connections. Upper Saddle River, NJ: Dale Seymour.
Groth, R. E. and Bergner, J. A. (2006). Preservice elementary teachers’ conceptual and procedural knowledge of mean, median,
and mode. Mathematical Thinking and Learning, 8(1), 37-63.
Haak, S. (1982). Using the monochord: A classroom demonstration on the mathematics of musical scales. Mathematics Teacher,
75(3), 238-244.
Hall, R. W. (2008). The sound of numbers: A tour of mathematical music theory. Unpublished manuscript.
http://www.sju.edu/~rhall/proposal.pdf
Henebry, C. (2012). The making of MoMath: America’s only museum of mathematics. Math Horizons, 20(2), 14-17.
Harkleroad, L. (2006). The math behind the music. Cambridge: Cambridge University Press.
Hofstein, A. and Yager, R. (1982). Societal issues as organizers for science education in the 80s. School Science and Mathematics,
82(15), 539-547.
Hughes, J. (2000). Applications of Fourier series in classical guitar technique. College Mathematics Journal, 31(4), 300-303.
Johnson, T. A. (2003). Foundations of diatonic theory: a mathematically based approach to music fundamentals. Emeryville, CA: Key
College Publishing.
Katz, V. J. (1993). A history of mathematics: An introduction. New York: HarperCollins.
Kerby, H. W., Cantor, J., Weiland, M., Babiarz, C., and Kerby, A. W. (2010). Fusion Science Theater presents ‘The Amazing
Chemical Circus’: A new model of outreach that uses theater to engage children in learning. Journal of Chemical Education,
87(10), 1024-1030.
Leck, K. (2006). Teaching personality theories using popular music. Teaching of Psychology, 33(1), 34-36.
Lesser, L. (2000). Sum of songs: Making mathematics less monotone! Mathematics Teacher, 93(5), 372-377.
Lesser, L. (2001). Musical means: Using songs in teaching statistics. Teaching Statistics, 23(3), 81-85.
Lesser, L. (2011). Voices from the classroom: Mean. Texas Mathematics Teacher, 58(2), 9.
Lesser, L., and Glickman, M. (2009). Using magic in the teaching of probability and statistics. Model Assisted Statistics and
Applications, 4(4), 265-274.
Loy, G. (2007). Musimathics: The mathematical foundations of music. Cambridge, MA: MIT Press.
Matson, C. L. H., and Grigoriadou, O. (2013). Don’t fret over exponential functions. Mathematics Teacher, 106(5), 384-388.
Matthews, M. E. (2008). Selecting and using mathemagic tricks in the classroom. Mathematics Teacher, 102(2), 98-101.
McCurdy, S. M., Schmiege, C., and Winter, C. K. (2008). Incorporation of music in a food service food safety curriculum for
high school students. Food Protection Trends, 28(2), 107-114.
Morgan, J. L., and Ginther, J. L. (1994). The magic of mathematics. Mathematics Teacher, 87(3), 150-153.
National Council of Teachers of Mathematics (2000). Principles and standards for school mathematics. Reston, VA: NCTM.
National Governors Association (2010). Common core state standards for mathematics.
http://www.corestandards.org/assets/CCSSI_Math%20Standards.pdf
National Science Education Standards. Washington, DC: The National Academies Press, 1996.
Osserman, R. (1993). Rational and irrational: Music and mathematics. In White, A. (Ed.), Essays in humanistic mathematics (pp.
53-59). Washington, DC: Mathematical Association of America.
Polster, B. (2003). The mathematics of juggling. New York: Springer-Verlag.
Resnick, M. (1987). Edutainment? No thanks. I prefer playful learning. Associazione Civita Report on Edutainment, pp. 1–4.
Robertson, W. H. (n.d.). Doctor Skateboard’s Action Science. http://www.drskateboard.com/action_science.htm
Robertson (2008). Developing problem-based curriculum: Unlocking student success utilizing critical thinking and inquiry, Des Moines,
IA: Kendall Hunt Publishing.
Robertson, W. H. (2008). Dr. Skateboard’s Action Science [Disc 2]. Tempe, AZ: Day Publishers. 5Es of constructivism. Journal of
Education and Learning, 1(2), 32-36.
Rosenfeld, M. (2011). Jump patterns: Percussive dance and the path to math. Teaching Artist Journal, 9(2), 78-89.
Rutherford, F. J. and Algrehn, A. (1990). Science for all Americans. New York: Oxford University Press.
Schaffer, K., Stern, E., and Kim, S. (2001). Math dance (Preliminary ed.). Santa Cruz, CA: MoveSpeakSpin.
Singhal, A., Wang, H., and Rogers, E. M. (2012). The rising tide of entertainment-education in communication campaigns. In R.
E. Rice and C. K. Atkin (Eds.), Public communication campaigns (4th ed.) (pp. 323-335). Beverly Hills, CA: Sage.
Texas Essential Knowledge and Skills, http://www.tea.state.tx.us/index2.aspx?id=6148
U2 (1983). War. Island Records 90067-2.
VanVoorhis, C. R. W. (2002). Stat jingles: To sing or not to sing. Teaching of Psychology, 29(3), 249-250.
Wright, D. (2009). Mathematics and music. Providence, RI: American Mathematical Society.
Yes (1971). Fragile. Atlantic Records 82667-2.
Thank you for copying data from http://www.arastirmax.com