Volume 18 · Number 2 · Pages 281–283
Random Walks on Structures, Autopoiesis and Meta-learning

Tomas Veloz

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Open peer commentary on the article “Random Walks as a Royal Road to E-STEAM in Math Education” by Amaranta Valdés-Zorrilla, Daniela Díaz-Rojas, Leslie Jiménez & Jorge Soto-Andrade. Abstract: I discuss how random walks provide a metaphorical playground for mathematical conceptualization. In particular, I propose to extend the random-walk metaphor, by introducing structural changes that go beyond mere changes of state. Hence, the “steps” in the walk change not only the position the system is at, but also the way in which it walks. The latter invites learners to think in constructivist concepts in a mathematical way.

Addendum: Tomas Veloz is also affiliated to the Departamento de Matemática, Universidad Tecnológica Metropolitana, Las Palmeras 3360, Ñuñoa, Santiago 7800002, Chile.


Veloz T. (2023) Random walks on structures, autopoiesis and meta-learning. Constructivist Foundations 18(2): 281–283. https://constructivist.info/18/2/281

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