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Volume 15 · Number 3 · Pages 222–225
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The Emergent and Evolving Nature of Affordances in Mathematical Problem Solving

Jérôme Proulx

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Abstract

Open peer commentary on the article “Précis of The Philosophy of Affordances” by Manuel Heras-Escribano. Abstract: I build on Heras-Escribano’s ontological characterization to address issues of affordances related to mathematics education, particularly about how it can enable fruitful conceptualizations for understanding mathematical problem-solving processes. This leads me to address the emergent and evolving nature of affordances in mathematical solving processes.

Handling Editor: Alexander Riegler

Citation

Proulx J. (2020) The emergent and evolving nature of affordances in mathematical problem solving. Constructivist Foundations 15(3): 222–225. https://constructivist.info/15/3/222

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References

Gibson J. J. (1986) The ecological approach to visual perception. Erlbaum, Hillsdale NJ. ▸︎ Google︎ Scholar
Maturana H. R. & Varela F. J. (1992) The tree of knowledge: The biological roots of human understanding. Revised edition. Shambhala, Boston MA. ▸︎ Google︎ Scholar
Proulx J. & Maheux J.-F. (2017) From problem-solving to problem-posing, and from strategies to laying down a path in solving: Taking Varela’s ideas to mathematics education research. Constructivist Foundations 13(1): 160–167 https://constructivist.info/13/1/160
Proulx J. (2013) Le calcul mental au-delà des nombres: Conceptualisations et illustrations avec la résolution d’équations algébriques [Mental calculation beyond numbers: Conceptualizations and illustrations with the solving of algebraic equations]. Annales de didactique et de sciences cognitives 18: 61–90. ▸︎ Google︎ Scholar
Proulx J. (2015) Mental mathematics with mathematical objects other than numbers: The case of operation on functions. The Journal of Mathematical Behavior 39: 156–176. ▸︎ Google︎ Scholar
Proulx J. (2015) Solving problems and mathematical activity through Gibson’s concept of affordances. In: Beswick K., Muir T. & Wells J. (eds.) Proceedings of PME-39, Volume 4. PME, Hobart: 49–56. ▸︎ Google︎ Scholar
René de Cotret S. (1999) Perspective bio-cognitive pour l’étude des relations didactiques [A bio-cognitive perspective for studying didactic relationships]. In: Lemoyne G. & Conne F. (eds.) Le cognitif en didactique des mathématiques. PUM, Montreal QC: 103–120. ▸︎ Google︎ Scholar
Simmt E. (2000) Mathematics knowing in action: A fully embodied interpretation. PhD thesis. University of Alberta, Edmonton, Canada. ▸︎ Google︎ Scholar

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