Mathematics as a Coordination of (Inter)Actions

Norton, Anderson

Volume 15 · Number 1 · Pages 61–63

< Previous Paper · Next Paper >

Mathematics as a Coordination of (Inter)Actions

Anderson Norton

Abstract

Open peer commentary on the article “Problematizing: The Lived Journey of a Group of Students Doing Mathematics” by Robyn Gandell & Jean-François Maheux. Abstract: Research from various perspectives has converged on the idea that mathematics arises from a coordination of actions. This commentary examines the approach taken in the target article and other approaches to modeling such coordinations, raising three related questions.

Handling Editor: Alexander Riegler

Citation

Norton A. (2019) Mathematics as a coordination of (inter)actions. Constructivist Foundations 15(1): 61–63. https://constructivist.info/15/1/061

Export article citation data: Plain Text · BibTex · EndNote · Reference Manager (RIS)

References

Abrahamson D., Shayan S., Bakker A. & Van Der Schaaf M. (2015) Eye-tracking Piaget: Capturing the emergence of attentional anchors in the coordination of proportional motor action. Human Development 58(4–5): 218–244. ▸︎ Google︎ Scholar

Ellis A. B. (2011) Generalizing-promoting actions: How classroom collaborations can support students’ mathematical generalizations. Journal for Research in Mathematics Education 42(4): 308–345. ▸︎ Google︎ Scholar

Ellis A. B. (2014) What if we built learning trajectories for epistemic subjects? An elaboration on Hackenberg’s musings on three epistemic algebraic students. In: Hatfield L., Moor K. & Steffe L. P. (eds.) Epistemic algebraic students: Emerging models of students’ algebraic knowing. Volume 4. University of Wyoming, Laramie WY: 199–207. ▸︎ Google︎ Scholar

Hackenberg A. J. (2005) A model of mathematical learning and caring relations. For the Learning of Mathematics 25(1): 45–51 https://cepa.info/763

Hackenberg A. J. (2010) Mathematical caring relations in action. Journal for Research in Mathematics Education: 236–273. ▸︎ Google︎ Scholar

Kenny V. (2007) Distinguishing Ernst von Glasersfeld’s “Radical Constructivism” from Humberto Maturana’s “Radical Realism.” Constructivist Foundations 2(2–3): 58–64 https://constructivist.info/2/2–3/058

Maturana H. R. & Varela F. J. (1987) The tree of knowledge: The biological roots of human understanding. Shambhala, Boston https://cepa.info/624

Piaget J. (1970) Structuralism. Translated by C. Maschler. Basic Books, New York. French originally published in 1968 https://cepa.info/4510

Pirie S. & Kieren T. (1989) A recursive theory of mathematical understanding. For the Learning of Mathematics 9(3): 7–11. ▸︎ Google︎ Scholar

Proulx J. & Simmt E. (2013) Enactivism in mathematics education: Moving toward a re-conceptualization of learning and knowledge. Education Sciences & Society 4(1): 59–79. Fulltext at https://cepa.info/4336

Saint-Exupéry A. D. (1943) The little prince. Translated by K. Woods. Reynal & Hitchcock, New York. ▸︎ Google︎ Scholar

Simon M. A. & Tzur R. (2004) Explicating the role of mathematical tasks in conceptual learning: An elaboration of the hypothetical learning trajectory. Mathematical Thinking and Learning 6(2): 91–104. ▸︎ Google︎ Scholar

Comments: 0

To stay informed about comments to this publication and post comments yourself, please log in first.

LATEST ISSUES

FOLLOW US

Abstract

Citation

References

Comments: 0