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Open peer commentary on the article “Examining the Role of Re-Presentation in Mathematical Problem Solving: An Application of Ernst von Glasersfeld’s Conceptual Analysis” by Victor V. Cifarelli & Volkan Sevim. Upshot: Problem solving is an enormous field of study, where so-called “problems” can end up having very little in common. One of the least studied categories of problems is open-ended mathematical modeling research. Cifarelli and Sevim’s framework - although not developed for this purpose - may be a useful lens for studying the development of mathematical modelers and researchers in applied mathematics.
Castillo-Garsow C. W. (2014) Mathematical modeling and the nature of problem solving. Constructivist Foundations 9(3): 373–375. http://constructivist.info/9/3/373
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