Dynamic Connections between Problem Posing and Problem‑Solving: On the Usefulness of Multiple Perspectives

Victor V. Cifarelli

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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: Drawing from the ideas of Varela, Proulx and Maheux, I propose a theoretical framework to examine problem-posing and problem-solving and provide evidence for their ideas with examples of student work from their research studies. I will draw comparisons between the approach taken by the researchers to the constructivist approach I have taken in my studies of problem-solving and those conducted with collaborators. My intent with these comments is not to argue the merits of one perspective over the other; rather, I look to point out and elaborate on these differences and make some specific suggestions to the researchers.

## Citation

Cifarelli V. V. (2017) Dynamic connections between problem posing and problem‑solving: On the usefulness of multiple perspectives. Constructivist Foundations 13(1): 172–173. http://constructivist.info/13/1/172

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