Abstract
In this chapter we present a research on a group of 30 novice Chilean mathematics teachers as problem solvers. We study their performance while working on two problems, how they felt when they worked on them and how do they see as problem solver in a self-evaluation.
The analysis we present is part of a larger research project whose general objective is to explore relationships among (a) the opportunities that initial teacher training programs offer them to grow as problem solvers and as teachers able to promote problem solving in their class, (b) the mathematical knowledge of novice mathematics teachers as problem solvers, and (c) their pedagogical practices regarding the way they promote their students as problem solvers.
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References
Artigue, M., & Blomhøj, M. (2013). Conceptualizing inquiry-based education in mathematics. ZDM Mathematics Education, 45, 797–810.
Barrow, L. H. (2006). A brief history of inquiry: From Dewey to standards. Journal of Science Teacher Education, 17, 265–278.
Burton, L. (2004). Mathematicians as enquirers: Learning about learning mathematics. Berlin, Germany: Springer. (Reviewed by Winsløw, C. (2006). Journal of Mathematics Teacher Education, 9, 507–515.)
Carlson, M. P., & Bloom, I. (2005). The cyclic nature of problem solving: An emergent multidimensional problem-solving framework. Educational Studies in Mathematics, 58, 45–75.
Chapman, O. (1999). Inservice teacher development in mathematical problem solving. Journal of Mathematics Teacher Education, 2, 121–142.
Dewey, J. (1933). How we think: A restatement of the relation of reflective thinking to the educative process. Boston: D.C. Heath.
Dewey, J. (1938). Logic: The theory of inquiry. New York: Holt.
Duschl, R. A., Schweingruber, H. A., & Shouse, A. W. (Eds.). (2007). Taking science to school: Learning and teaching science in grades K-8. Washington, DC: National Academies Press.
Galbraith, P., Henn, H., Niss, M. (Eds.). (2007). Modelling and applications in mathematics education: Vol. 10. The 14th ICMI study series: New ICMI study series. New York: Springer.
Kilpatrick, J. (1978). Problem solving in mathematics. School Science and Mathematics, 78, 189–192.
Kilpatrick, J. (1987). George Pólya’s influence on mathematics education. Mathematics Magazine, 60(5), 299–300.
Lockhart, P. (2009). A mathematician’s lament. New York: Bellevue Literary Press.
Mason, J. (1992). Researching problem solving from the inside. In J. Ponte, J. Matos, J. Matos, & D. Fernandes (Eds.), Mathematical problem solving and new information technology: Research in contexts of practice, Nato ASI series F #89 (pp. 17–36). London: Springer.
McLeod, D. B. (1992). Research on affect in mathematics education: A reconceptualization. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 575–596). New York: Macmillan.
Michaels, S., Shouse, A., & Schweingruber, H. (2008). Ready, set, science!: Putting research to work in K-8 science classrooms. Washington, DC: The National Academies Press.
Polya, G. (1957). How to solve it (2nd ed.). Princeton, NJ: Princeton University Press.
Polya, G. (1966). On teaching problem solving. In The role of axiomatics and problem solving in mathematics (pp. 123–129). Boston: Conference Board of Mathematical Sciences, Ginn.
Stillman, G. A., Kaiser, G., Blum, W., Brown, J. P. (Eds.). (2013). Teaching mathematical modelling: Connecting to research and practice: Vol. XVI. Series: International perspectives on the teaching and learning of mathematical modelling. New York: Springer.
Yimer, A. (2009). Engaging in-service teachers in mathematical problem-solving activities during professional development programs. Journal of Mathematics Education, 2(1), 99–114.
Yimer, A., & Ellerton, N. F. (2010). A five-phase model for mathematical problem solving: Identifying synergies in pre-service-teachers’ metacognitive and cognitive actions. ZDM Mathematics Education, 42, 245–261.
Acknowledgments
This research has been partially supported by the Ministry of Education of Chile by Funds for Research and Development in Education (FONIDE F721209, year 2012), Basal Funds for Centers of Excellence-Project FB 0003 from the Associative Research Program of CONICYT, and BASAL-CMM-Projects, Project Fondecyt 3140597, and Project EDU2011-29328.
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Felmer, P., Perdomo-Díaz, J. (2016). Novice Chilean Secondary Mathematics Teachers as Problem Solvers. In: Felmer, P., Pehkonen, E., Kilpatrick, J. (eds) Posing and Solving Mathematical Problems. Research in Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-319-28023-3_17
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