The Possible Ways of Practicing Complexity Theory through Concept Study in Mathematics Class
Abstract
This paper addresses the ways that the complexity theory can be practiced in mathematics class to encourage students’ participation in learning of the mathematical concepts. The paper starts by introducing the theory and its associated attributes which are necessary to organize the class for the individual and collective understandings of the mathematical concepts during teaching and learning process. After that, the paper illustrates the ways that the attributes of complexity theory can be practiced in mathematics class under the lens of concept study, a model for teachers’ professional development of the mathematical concepts (Davis & Renert, 2014). The paper ends by providing the potential of practicing complexity theory in mathematics class.References
Davis, B., & Renert, M. (2014). The math teachers know: Profound understanding of emergent mathematics. New York, NY: Routledge.
Davis, B. & Simmt, E. (2003). Understanding learning systems: mathematics education and complexity science. Journal for Research in Mathematics Education 34(2), 137-167.
Davis, B. & Simmt, E. (2006). Mathematics-for-teaching: an ongoing investigation of the mathematics that teachers (need to) know. Educational Studies in Mathematics, 61, 293-319. Retrieved from http://www.jstor.org/discover/10.2307/25472073?sid=21105242935431&uid=3737720&uid=4&uid=2&uid=3739392
Davis, B., & Sumara, D. (2006). Complexity and education: Inquiries into learning, teaching, and research. Mahwah, NJ: Lawrence Erlbaum.
Doll, W. E. (1993). A post-modern perspective on curriculum. New York: Teachers College Press.
Fernandez, C., & Yoshida, M. (2004). Lesson study: a Japanese approach to improving mathematics teaching and learning. Mahwah, NJ: Erlbaum.
Lewin, R. (1993). Complexity: life on the edge. London: Phoenix.
Morrison, B. (2002). School leadership and complexity theory. London: RoutledgeFarmer.
Newell, C. (2008). The class as a learning entity (complex adaptive system): An idea from complexity science and educational research. Simon Fraser University Educational Review 2(1), 5-17.
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