Abstract
This chapter is the third in a series intended to prompt discussion and debate in the Problem Solving vs. Modeling Theme Group. The chapter addresses distinctions between problem solving and modeling as a means to understand and conduct research by considering three main issues: What constitutes a problem-solving vs. modeling task?; What constitutes problem-solving vs. modeling processes?; and What are some implications for research?
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References
Kelly, E. A., Lesh, R. A., and Baek, J. (Eds.) (2008). Handbook of design research methods in education: Innovations in science, technology, engineering and mathematics learning and teaching. London: Routledge.
Lesh, R., Hoover, M., Hole, B., Kelly, E., and Post, T. (2000). Principles for developing thought-revealing activities for students and teachers. In A. Kelly, and R. Lesh (Eds.), Handbook of Research Design in Mathematics and Science Education. Mahwah, NJ: Erlbaum.
Lesh, R., and Kelly, E. (2000). Multi-tiered teaching experiments. In E. Kelly, and R. Lesh (Eds.), Handbook ofResearch Design in Mathematics and Science Education. Mahwah, NJ: Erlbaum.
Lesh, R., and Zawojewski, J. S. (2007). Problem solving and modeling. In F. Lester (Ed.), Second Handbook of Research on Mathematics Teaching and Learning (pp. 763–804). Charlotte, NC: Information Age Publishing.
Newell, A., and Simon, H. A. (1972). Human Problem Solving. Englewood Cliffs, NJ: Prentice Hall.
Schoenfeld, A. H. (1992). Learning to think mathematically: Problem solving, metacognition, and sense making in mathematics. In D. Grouws (Ed.), Handbook of Research on Mathematics Teaching and Learning (pp. 334–370). New York: McMillan.
Silver, E. A. (Ed.). (1985). Teaching and Learning Mathematical Problem Solving: Multiple Research Perspectives. Hillsdale, NJ: Erlbaum.
Vygotsky, L. S. (1978). Mind in Society: The Development of Higher Psychological Processes. Cambridge, MA: Harvard University Press.
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Thank you to Frank K. Lester for his valuable feedback and suggestions, which led to revisions in this manuscript.
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Zawojewski, J. (2013). Problem Solving Versus Modeling. In: Lesh, R., Galbraith, P., Haines, C., Hurford, A. (eds) Modeling Students' Mathematical Modeling Competencies. International Perspectives on the Teaching and Learning of Mathematical Modelling. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6271-8_20
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DOI: https://doi.org/10.1007/978-94-007-6271-8_20
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