Co-evolution of Problem Posing and Problem‑Solving after Finding a Way In
Volkan Sevim
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Abstract
Open peer commentary on the article “From Problem Solving to Problem Posing, and from Strategies to Laying Down a Path in Solving: Taking Varela’s Ideas to Mathematics Education Research” by Jérôme Proulx & Jean-François Maheux. Upshot: The significance of Proulx and Maheux’s target article lies in their thorough grounding of some of the ideas of the mathematical problem-posing and problem-solving literature in a strong theoretical framework. They direct our attention to two distinct epistemological assumptions that underlie explanations of problem-solving: the so-called “selection-then-execution hypothesis” and Varela’s problem-posing perspective. In this commentary, I will offer two ways their line of research could be extended.
Citation
Sevim V. (2017) Co-evolution of problem posing and problem‑solving after finding a way in. Constructivist Foundations 13(1): 173–175. http://constructivist.info/13/1/173
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References
Cifarelli V. & Sevim V. (2015) Problem posing as re-formulation and sense-making within problem solving. In: Singer F. M. & Ellerton N. & Cai J. (eds.) Mathematical problem posing: From research to effective practice. Springer, New York: 177–194.
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Sevim V. & Cifarelli V. (2013) The co-evolution of problem posing and problem solving in the course of Sarah’s on-going solution activity. In: Lindmeier A. M. & Heinze A. (eds.) Proceedings of the annual meeting of the international group for the psychology of mathematics education. Volume 5. PME, Kiel: 165.
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