Creativity and the Design of Music-Mathematics Activities in a Virtual Simulation Learning Environment
Defined by digital age learning, the current education landscape offers unparalleled opportunities for creative and transformative experiences for students of all ages. Navigating the complexity of this new landscape means that students must be equipped with skills that foster creativity, and are poised to develop unique and innovative solutions. This requires educators to rethink what instructional design should look like and how students should be engaged. Mathematics classrooms, in particular, are fertile places for activities that integrate creativity. This chapter explores the role of creativity in mathematics learning and examines the intersection of mathematics, music, and virtual spaces. Built on Koestler (The concept of creativity in science and art. Springer, The Netherlands, pp. 1–17, 1981) work on creation and creativity, the chapter suggests how environmental (technology) and conceptual (music) frameworks can be juxtaposed to mathematics teaching to create more engaged and productive learning. It is in these unique collisions that new knowledge and new ways of knowing come to pass. A classroom simulation example involving practice teaching experiences in a virtual setting exhibits how technology and music can be incorporated into preservice teacher education. Implications of this work include an expanded idea of what contributes to feelings of efficacy and student success in the mathematics classroom as well as how music may help with challenging mathematical concepts like fractions and patterns.
KeywordsCreativity Mathematics Technology Music Preservice teachers Second life
- An, S. (2012). Music-Mathematics instructional activities (unpublished).Google Scholar
- Barr, D., Harrison, J., & Conery, L. (2011). Computational thinking: A digital age skill for everyone. Learning & Leading with Technology, 38(6), 20–52.Google Scholar
- Beal, S. (2000). Functional melodies. New York, NY: Curriculum Press.Google Scholar
- Boaler, J. (2015). Mathematical mindsets: Unleashing students’ potential through creative math, inspiring messages and innovative teaching. New York, NY: Wiley.Google Scholar
- Colwell, C. M. (2008). Integration of music and core academic objectives in the K-12 curriculum perceptions of music and classroom teachers. Update: Applications of Research in Music Education, 26(2), 33–41.Google Scholar
- Craft, A. (2010). Creativity and education futures: Learning in a digital age. London, UK: Trentham Books.Google Scholar
- Cropley, A. J. (2001). Creativity in education & learning: A guide for teachers and educators. Abingdon, VA: Psychology Press.Google Scholar
- Davis, F. D. (1989). Perceived usefulness, perceived ease of use, and user acceptance of information technology. MIS Quarterly, 13(3), 319–340.Google Scholar
- Davis, T. J., An, S., Cole, M. & Jett, S. (2012). Glasscock [Second Life Build]. Retrieved from http://kate.tamu.edu/second-life.
- Davis, T. (2013). Using three-dimensional virtual environments to prepare STEM teachers. In M. M. Capraro & R. M. Capraro (Eds.), Improving urban schools: Equity and access in k-16 STEM education for all students (pp. 125–141). Charlotte, NC: Information Age.Google Scholar
- Davis, T., Chien, C., Brown, I., & Kulm, G. (2012b). Knowledge for algebra teaching for equity (KATE) project: An examination of virtual classroom simulation approaches. National Forum of Multicultural Issues Journal, 9(2), 67–87.Google Scholar
- Enochs, L. G., & Riggs, I. M. (1990). Further development of an elementary science teaching efficacy instrument: A preservice elementary scale. School Science and Mathematics, 90, 695–706.Google Scholar
- Fernandez, M. (1999). Making music with mathematics. Mathematics Teacher, 92(2), 90.Google Scholar
- Fiske, E. B. (1999). Champions of change: The impact of the arts on learning. Washington D.C.: President’s Committee on the Arts and the Humanities.Google Scholar
- Furner, J. M., & Marinas, C. A. (2014). Addressing math anxiety in teaching mathematics using photography and geogebra. Presented at International Conference on Technology in Collegiate Mathematics.Google Scholar
- Gregerson, M. B., Snyder, H. T., & Kaufman, J. C. (Eds.). (2012). Teaching creatively and teaching creativity. Dordrecht, The Netherlands: Springer Science+Business Media.Google Scholar
- Henriksen, D., & Mishra, P. (2015). We teach who we are: Creativity in the lives and practices of accomplished teachers. Teachers College Record, 117, 070303.Google Scholar
- International Society for Technology in Education. (2007). National educational technology standards for students. Retrieved from http://www.iste.org/docs/pdfs/20-14_ISTE_Standards-S_PDF.pdf.
- International Society for Technology in Education. (2008). ISTE standards for teachers. Retrieved from http://www.iste.org/standards/standards/for-students-2016.
- International Society for Technology in Education. (2016). ISTE standards for students. Retrieved from http://www.iste.org/standards/standards/for-students-2016.
- Jenkins, H., Clinton, K., Purushotma, R., Robinson, A. J., & Weigel, M. (2006). Confronting the challenges of participatory culture: Media education for the 21st century. Chicago, IL: The MacArthur Foundation, with permission from Henry Jenkins.Google Scholar
- Johnson, G. L., & Edelson, R. J. (2003). Integrating music and mathematics in the elementary classroom. Teaching Children Mathematics, 9(8), 474.Google Scholar
- Koestler, A. (1981). The three domains of creativity. In D. Dutton & M. Krausz (Eds.), The concept of creativity in science and art (pp. 1–17). Dordrecht, The Netherlands: Springer.Google Scholar
- Mehta, R., Mishra, P., Henriksen, D., & The Deep-Play Research Group. (2016). Creativity in mathematics and beyond—Learning from fields medal winners. Tech Trends, 60(1), 14–18. http://doi.org/10.1007/s11528-015-0011-6.
- Merchant, Z., Goetz, E. T., Keeney-Kennicutt, W., Kwok, O. M., Cifuentes, L., & Davis, T. J. (2012). The learner characteristics, features of desktop 3D virtual reality environments, and college chemistry instruction: A structural equation modeling analysis. Computers & Education, 59(2), 551–568.CrossRefGoogle Scholar
- Mishra, P., Henriksen, D., & The Deep-Play Research Group. (2014). Revisited and remixed: Creative variations and twisting knobs. Tech Trends, 58(1), 20–23.Google Scholar
- Mishra, P., Fahnoe, C., Henriksen, D. & The Deep-Play Research Group. (2013). Creativity, self-directed learning, and the architecture of technology rich environments. Tech Trends, 57(1), 10–13.Google Scholar
- Mishra, P., & The Deep-Play Research Group. (2012). Rethinking technology & creativity in the 21st century: Crayons are the future. Tech Trends, 56(5), 13–16.Google Scholar
- Mitchell, W., Inouye, A., & Blumenthal, M. (2003). Beyond productivity: Information, technology, innovation, and creativity. Washington, D.C.: National Academic Press.Google Scholar
- National Advisory Council on Creative and Cultural Education. (1999). All our futures: Creativity, culture and education. United Kingdom: Department of Education and Employment.Google Scholar
- National Council of Teachers of Mathematics. (2000). Principles and standards of school mathematics. Reston, VA: Author.Google Scholar
- Nisbet, S. (1991). Mathematics and music. Australian Mathematics Teacher, 47(4), 4–8.Google Scholar
- Runco, M. A. (2008). Creativity and education. New Horizons in Education, 56(1), n1.Google Scholar
- Saldaña, J. (2015). The coding manual for qualitative researchers (3rd ed.). Thousand Oaks, CA: Sage.Google Scholar
- Springer, S., Alexander, B., & Persiani, K. (2006). The creative teacher: An encyclopedia of ideas to energize your curriculum. New York, NY: McGraw Hill Professional.Google Scholar
- STEM to STEAM. (2016). STEM to STEAM. Retrieved from http://www.stemtosteam.org.
- Vale, I., & Barbosa, A. (2015). Mathematics creativity in elementary teacher training. Journal of the European Teacher Education Network, 10, 101–109.Google Scholar
- Wong, G. K. (2015). Understanding technology acceptance in pre-service teachers of primary mathematics in Hong Kong. Australasian Journal of Educational Technology, 31(6).Google Scholar
- Woods, P., & Jeffrey, B. (1996). Teachable moments: The art of creative teaching in primary schools. Chicago, IL: Open University Press.Google Scholar
- Wright, D. (2009). Mathematics and music (Vol. 28). Providence, RI, USA: American Mathematical Society.Google Scholar