Abstract
Science and mathematics education needs to serve several (possibly contradictory) motivating goals. One is found in the movement for a universal literacy in the central principles and methods of the disciplines. The second is the need to provide the experiences and background that makes possible the production of scientists and engineers. A complication in both efforts is that the formal education takes place over many years, and the application of the layers of information, understanding, and sophistication need also be aware of the age of the student and what has come before. These efforts require clear ideas as to the end goal of the process and attention to assessment. Receiving less attention is the need to also feed and nurture the creative side of those who would become professionals, as creative approaches will be a central and necessary aspect of their work and thought. In this paper, I address the use of a course in mathematical modeling taught over a period of 25 years to undergraduate students of mathematics, mathematics education, computer science, and engineering, as a method to open up creative pathways. Through an historical discussion of the role and nature of creativity in the sciences and mathematics, a process to have students find their creative voice is described in the context of this course.
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References
Amabile, T. (1996). Creativity in context. Boulder, Colorado: Westview Press.
Barrett, D. (2001). The committee of sleep. New York: Crown Publishers.
Barron, F., Montuori, A. & Barron, A. (1997). Creators on creating. New York: Jeremy P Tarcher/Penguin.
Beveridge, W.I.B. (1951). The art of scientific investigation. New York: W.W. Norton & Co.
Bjorkvold, J.-R. (1992). The muse within. W. H. Halverson (Trans.). New York: HarperCollins.
Blagrove, M. & Tucker, M. (1994). Individual differences in locus of control and the reporting of lucid dreaming. Personal and Individual Differences, 16, 981–984.
Boostrom, R. (2005). Thinking: The foundation of critical and creative learning in the classroom. New York: Teachers College Press.
Cameron, J. (1992). The artist’s way. New York: Jeremy P. Tarcher.
Cobb, E. (1977). The ecology of imagination in childhood. New York: Columbia University Press.
Crain, W. (2004). Reclaiming childhood: Letting children be children in our achievement-oriented society. New York: Henry Holt & Co.
Csikszentmihalyi, M. (1990). Flow. New York: Harper & Row.
Csikszentmihalyi, M. (1996). Creativity. New York: HarperCollins.
Csikszentmihalyi, M. & Csikszentmihalyi, I.S. (1988). Optimal experience. Cambridge: Cambridge University Press.
Davies, T. & Gilbert, J.K. (2003). Modelling: Promoting creativity while forging links between science education and design and technology education. Canadian Journal of Science, 3, 67–82.
Dement, W.C. & Kleitman, N. (1957). The relationship of eye movements during sleep to dream activity: An objective method for the study of dreams. Journal of Experimental Psychology, 53, 339–346.
DfEE (1999). Science: The national curriculum for England. London: Department for Education and Employment.
Fox, M. (2002). Creativity: Where the divine and human meet. New York: Jeremy P. Tarcher/Putnam.
Garfield, P. (1995). Creative dreaming, 2nd edn. New York: Simon & Schuster.
Ghiselin, B. (Ed.) (1952). The creative process. Berkeley, California: University of California Press.
Goleman, D., Kaufman, P. & Ray, M. (1992). The creative spirit. New York: Dutton.
Goleman, D. (1997). Emotional intelligence: Why it can matter more than IQ. New York: Bantam.
Gryskiewicz, S.S. & Hills, D.A. (Eds.) (1992). Readings in Innovation. Greensboro, North Carolina: Center for Creative Leadership.
Hadamard, J. (1945). The psychology of invention in the mathematical field. Princeton, New Jersey: Princeton University Press.
Harding, R.E.M. (1948). An anatomy of inspiration, 3rd edn. Cambridge: W.Heffer & Sons.
Harman, W. & Rheingold, H. (1984). Higher creativity. New York: Jeremy P. Tarcher/Putnam.
Hodson, D. (1992). In search of a meaningful relationship: An exploration of some issues relating to integration in science and science education. International Journal of Science Education, 14, 541–562.
Halloun, I. (1996). Schematic modeling for meaningful learning in physics. Journal of Research in Science Teaching, 33, 1019–1041.
Inglis, B. (1987). The unknown guest: The mystery of intuition. London: Hodder & Stoughton, Ltd.
Inglis, B. (1988). The power of dreams. New York: HarperCollins.
Justi, R. & Gilbert, J.K. (2002). Modeling, teachers’ views on the nature of modeling and implications for the education of modelers. International Journal of Science Education, 24, 369–387.
Klinger, E. (1990). Daydreaming. New York: Jeremy P. Tarcher/Putnam.
Kleitman, N. (1963). Sleep and wakefulness. Chicago: U of Chicago Press.
Koestler, A. (1964). The act of creation. New York: Macmillan.
Kolodny, S. (2000). The captive muse: On creativity and its inhibition. Madison, Connecticut: Psychosocial Press.
LaBerge, S. (1986). Lucid dreaming: The power of being awake and aware in your dreams. New York: Ballantine Books.
Leibniz, G. W. (1981). New essays on human understanding. P. Remnant & J. Bennett (Trans. and Ed.). New York: Cambridge University Press.
May, R. (1994). The courage to create. New York: W.W. Norton.
Mellick, J. (2001). The art of dreaming. Berkeley, California: Conari Press.
Merrill, S.J. (2003). Solving problems: Perchance to dream. In Lamon, S.J. Parker, W.A., and Houston, S.K. (Eds.), ICTMA 11: Mathematical Modelling: A Way of Life, Chichester, UK: Horwood Publishing.
Murphy, G. (1958). Human potentialities. New York: Basic Books.
Nachmanovitch, S. (1990). Free play: Improvisation in life and art. New York: Jeremy P. Tarcher/Putnam.
NRC (1996). National science education standards. Washington D.C.: National Academic Press.
Piirto, J. (2004). Understanding creativity. Scottsdale, Arizona: Great Potential Press.
Poincaré, H. (1915). The foundations of science, G. B. Halsted (Trans.) New York: The Science Press.
Raghaven, K. & Glaser, R. (1995). Model-based analysis and reasoning in science: The MARS curriculum. Science Education, 79, 37–61.
Rogers, A. (2001). Feeding the spirit: Dreams, art and language in the elementary classroom. San Jose, California: Writers Club Press.
Root-Bernstein, R. & Root-Bernstein, M. (1999). Sparks of genius. Boston: Houghton Mifflin.
Smith, C. (1996). Sleep states, memory processes and synaptic plasticity. Behavioural Brain Research, 78, 49–56.
Stevens, A. (1995). Private myths: Dreams and dreaming. Cambridge, Massachusetts: Harvard University Press.
Taylor, J. (1983). Dream work: Techniques for discovering the creative power in dreams. Mahwah, New Jersey: Paulist Press.
Taylor, J. (1992). Where people fly and water runs uphill. New York: Warner Books.
Tharp, T. (2003). The creative habit: Learn it and use it for life. New York: Simon & Schuster.
Tomasi, J. (1988). Models and modeling in theoretical chemistry. Journal of Molecular Structure, 179, 273–292.
Ulam, S.M. (1976). Adventures of a mathematician. New York: Charles Scribner’s Sons.
Wallas, G. (1926). The art of thought. New York: Hardcourt Brace Javonovich.
Young, S. (1999). Dreaming in the lotus. Boston: Wisdom Publications.
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Merrill, S.J. To Again Feel the Creative Voice. Int J Sci Math Educ 5, 145–164 (2007). https://doi.org/10.1007/s10763-006-9047-6
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DOI: https://doi.org/10.1007/s10763-006-9047-6