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Volume 13 · Number 1 · Pages 177–179
< Previous Paper · Next Paper >
From (Observing) Problem Solving to (Observing) Problem Posing: Fronting the Teacher as Observer

Nat Banting & Elaine Simmt

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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 aim of this commentary is to extend the work of Proulx and Maheux to include consideration of the teacher-observer whose role (in part) in the mathematics classroom is to ensure that curriculum goals are being met.

Citation

Banting N. & Simmt E. (2017) From (observing) problem solving to (observing) problem posing: Fronting the teacher as observer. Constructivist Foundations 13(1): 177–179. http://constructivist.info/13/1/177

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References

Banting N. & Simmt E. (2017) Problem drift: Teaching curriculum with(in) a world of emerging significance. In Galindo E. & Newton J. (eds.) Proceedings of the 39th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Hoosier Association of Mathematics Teacher Educators, Indianapolis IN: ***PAGE NUMBERS STILLMISSING***. ▸︎ Google︎ Scholar
Banting N. (2017) Carving curriculum out of chaos: Exploring teacher interventions and the patterning of small groups in mathematics class. Master’s thesis, University of Alberta, Edmonton, Canada. ▸︎ Google︎ Scholar
Foerster H. von (1981) Observing systems. Intersystems Publications, Seaside CA. ▸︎ Google︎ Scholar
Maturana H. R. & Varela F. J. (1980) Autopoiesis and cognition: The realization of the living. D. Reidel, Boston. ▸︎ Google︎ Scholar
Maturana H. R. & Varela F. J. (1992) The tree of knowledge: The biological roots of human understanding. Revised edition. Shambhala, Boston. ▸︎ Google︎ Scholar
Proulx J. & Simmt E. (2016) Distinguishing enactivism from constructivism: Engaging with new possibilities. In Csíkos C., Rausch A. & Szitányi J. (eds.) Proceedings of the 40th Conference of the International Group for the Psychology of Mathematics Education, Volume 4. PME, Szeged, Hungary: 99–106. ▸︎ Google︎ Scholar
Varela F. (1984) The creative circle: Sketches on the natural history of circularity. In Watzlawick P. (ed.) The invented reality. Norton, New York: 309–323. http://cepa.info/2089
Varela F. J. (1999) Ethical know-how: Action, wisdom, and cognition. Stanford University Press, Stanford. http://cepa.info/2119
Varela F. J., Thompson E. & Rosch E. (1991) The embodied mind: Cognitive science and human experience. MIT Press, Cambridge MA. ▸︎ Google︎ Scholar

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