Volume 9 · Number 3 · Pages 370–371
Issues Around Reflective Abstraction in Mathematics Education

Catherine Ulrich

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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: Cifarelli and Sevim’s analysis of Marie’s problem solving activity raises two questions for me. The first regards what Marie is reflectively abstracting: the use of the generic phrase her solution activity finesses a largely unarticulated disagreement in the mathematics education community about what the nature of actions are in Piaget’s theory. The second question involves the implications that radical constructivist research in mathematics has for day-to-day mathematics instruction.


Ulrich C. (2014) Issues around reflective abstraction in mathematics education. Constructivist Foundations 9(3): 370–371. http://constructivist.info/9/3/370

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