Abstract
Many of the discourses on creativity, although not explicitly so, assumes that creativity is a solitary activity—a phenomenon that happens within an individual working in isolation away from other people and other resources. But this is not how most people work. In this chapter, I look at creativity as something that can, and does, occur within groups, working collaboratively to solve problems in and among other groups also working to solve the same problem. Using burstiness as a theoretical construct to notice and name group creativity, I look specifically at how the environment can play a role in fostering and sustaining group creativity. Results indicate that one specific environment—the thinking classroom—is particularly well suited for occasioning group creativity.
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References
Bailin, S. (1994). Achieving extraordinary ends: An essay on creativity. Ablex Publishing Corporation.
Bandura, A. (1986). Social foundations of thought and action: A social cognitive theory. Prentice Hall.
Bandura, A. (1994). Self-efficacy. In V. Ramachaudran (Ed.), Encyclopedia of human behavior (pp. 71–81). Academic Press.
Bandura, A. (1997). Self-efficacy: The exercise of control. W. H. Freeman & Co.
Boudreau, K., Patrick, G., Karim, R., Riedl, C., & Woolley, A. (2014). From crowds to collaborators: Initiating effort & catalyzing interactions among online creative workers. Harvard Business School Working Paper, No. 14-060.
Csíkszentmihályi, M. (1996). Creativity: Flow and the psychology of discovery and invention. Harper Collins Publishers.
Davis, B., & Simmt, E. (2003). Understanding learning systems: Mathematics education and complexity science. Journal for Research in Mathematics Education, 34, 137–167. https://doi.org/10.2307/30034903
Getzels, J. W., & Jackson, P. J. (1962). Creativity and intelligence: Explorations with gifted students. Wiley.
Ghiselin, B. (1952). The creative process: Reflections on invention in the arts and sciences. University of California Press.
Goldin, G. A. (2002). Affect, meta-affect, and mathematical belief structures. In G. C. Leder, E. Pehkonen, & G. Törner (Eds.), Beliefs: A hidden variable in mathematics education? (pp. 59–72). Kluwer Academic Publishers.
Grant, A. (Host). (2018, April 28). The Daily Show’s secret to creativity (No. 2). In: Work life with Adam Grant. TED. https://www.adamgrant.net/podcast/
Guilford, J. P. (1950). Creativity. American Psychologist, 5(9), 444–454.
Guilford, J. P. (1967). The nature of human intelligence. McGraw-Hill.
Hadamard, J. (1945). The psychology of invention in the mathematical field. Dover Publications.
Johnson-Laird, P. (1989). Analogy and the exercise of creativity. In S. Vosniadou & A. Ortony (Eds.), Similarity and analogical reasoning (pp. 313–331). Cambridge University Press.
Kneller, G. (1965). The art and science of creativity. Holt, Reinhart, and Winstone, Inc.
Koestler, A. (1964). The act of creation. The Macmillan Company.
Liljedahl, P. (2008). The AHA! Experience: Mathematical contexts, pedagogical implications. VDM Verlag.
Liljedahl, P. (2014). The affordances of using visibly random groups in a mathematics classroom. In Y. Li, E. Silver, & S. Li (Eds.), Transforming mathematics instruction: Multiple approaches and practices (pp. 127–144). Springer.
Liljedahl, P. (2016). Building thinking classrooms: Conditions for problem solving. In P. Felmer, J. Kilpatrick, & E. Pekhonen (Eds.), Posing and solving mathematical problems: Advances and new perspectives (pp. 361–386). Springer. https://doi.org/10.1007/978-3-319-28023-3_21
Liljedahl, P. (2019). Conditions for supporting problem solving: Vertical non-permanent surfaces. In P. Liljedahl & M. Santos-Trigo (Eds.), Mathematical problem solving: Current themes, trends, and research (pp. 289–310). Springer.
Liljedahl, P. (2020). Building thinking classrooms in mathematics (grades k-12): 14 teaching practices for enhancing learning. Corwin Press.
Liljedahl, P. (in press). Actions speak louder than words: Social persuasion through teaching practice. In Proceedings of the 12th Congress of the European Society for Research in Mathematics Education.
Liljedahl, P., & Allan, D. (2013). Studenting: The case of “now you try one”. In A. M. Lindmeier & A. Heinze (Eds.), Proceedings of the 37th Conference of the International Group for the Psychology of Mathematics Education (Vol. 3, pp. 257–264).
Liljedahl, P., & Allan, D. (2017). Mathematical discovery. In E. Carayannis (Ed.), Encyclopedia of creativity, invention, innovation, and entrepreneurship (pp. 1228–1233). Springer. https://doi.org/10.1007/978-1-4614-6616-1_376-2
Liu, M., & Liljedahl, P. (2012). ‘Not normal’ classroom norms. In T. Y. Tso (Ed.), Proceedings of the 36th Conference of the International Group for the Psychology of Mathematics Education (Vol. 4, p. 300).
Marghetis, T., Samson, K., & Landy, D. (2019). The complex system of mathematical creativity: Modularity, burstiness, and the network structure of how experts use inscriptions. CogSci, 2019, 763–769.
Mason, J., & Pimm, D. (1984). Generic examples: Seeing the general in the particular. Educational Studies in Mathematics, 15(3), 277–289.
Mooney, R. L. (1963). A conceptual model for integrating four approaches to the identification of creative talent. In C. W. Taylor & F. Barron (Eds.), Scientific creativity: Its recognition and development (pp. 331–340). Wiley.
Pehkonen, E. (1997). The state-of-art in mathematical creativity. Analysis, 97(3), 63–67. https://doi.org/10.1007/s1858-997-0001-z
Pitta-Pantazi, D., Kattou, M., & Christou, C. (2018). Mathematical creativity: Product, person, process and press. In F. M. Singer (ed.), Mathematical creativity and mathematical giftedness. ICME-13 Monographs. https://doi.org/10.1007/978-3-319-73156-8_2
Poincaré, H. (1952). Science and method. Dover Publications.
Rhodes, M. (1961). An analysis of creativity. Phi Delta Kappan, 42(7), 305–311.
Riedl, C., & Wooley, A. (2020). Successful remote teams communicate in bursts. Harvard Business Review, October 28, 2020.
Root-Bernstein, R., & Root-Bernstein, M. (1999). Sparks of genius: The thirteen thinking tools of the world’s most creative people. Houghton Mifflin Company.
Silver, E. A. (1997). Fostering creativity through instruction rich in mathematical problem solving and problem posing. ZDM: The International Journal on Mathematics Education, 29(3), 75–80. https://doi.org/10.1007/s11858-997-0003-x
Torrance, E. (1966). The Torrance test of creative thinking: Technical norms manual. Personnel Press.
Vallance, D. (2020, July 22). Forget brainstorming. Burstiness is the key to creativity. Work Culture. https://bit.ly/3KzHIRh
Wallas, G. (1926). The art of thought. Harcourt Brace.
Weisberg, R. (1999). Creativity and knowledge: A challenge to theories. In R. Sternberg (Ed.), Handbook of creativity (pp. 226–250). Cambridge University Press.
Woolley, A., Chabris, C., Pentland, A., Hashmi, N., & Malone, T. (2010). Evidence for a collective intelligence factor in the performance of human groups. Science, 330, 686–688.
Yackel, E., & Cobb, P. (1996). Sociomathematical norms, argumentation, and autonomy in mathematics. Journal for Research in Mathematics Education, 27(4), 458–477. https://doi.org/10.2307/749877
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Liljedahl, P. (2022). Group Creativity. In: Chamberlin, S.A., Liljedahl, P., Savić, M. (eds) Mathematical Creativity . Research in Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-031-14474-5_12
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