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Article

Backward Reasoning and Epistemic Actions in Discovering Processes of Strategic Games Problems

1
Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain
2
Dipartimento di Matematica “G. Peano”, Università degli Studi di Torino, 20123 Turin, Italy
3
Instituto de Matemática Interdisciplinar, Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain
*
Authors to whom correspondence should be addressed.
Mathematics 2020, 8(6), 989; https://doi.org/10.3390/math8060989
Received: 6 May 2020 / Revised: 1 June 2020 / Accepted: 15 June 2020 / Published: 17 June 2020
The paper focuses on the cognitive and epistemic characterization of backward reasoning in strategy games resolution. It explores the use of abstraction in context (AiC) theory as a tool for the analysis of the epistemic actions involved in these processes. We follow a qualitative methodology based on design experiments, focusing on a study carried out with mathematics and engineering students. The analysis allowed us to combine the two models derived from the epistemology of mathematical backward reasoning and AiC theory in a unified framework that allowed us to focus both short-term and long-term processes in mathematical activities. Recurring patterns of epistemic actions were identified. View Full-Text
Keywords: reasoning and proof; strategy games; backward reasoning; engineering education; mathematical education; abstraction processes; epistemic actions reasoning and proof; strategy games; backward reasoning; engineering education; mathematical education; abstraction processes; epistemic actions
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MDPI and ACS Style

Barbero, M.; Gómez-Chacón, I.M.; Arzarello, F. Backward Reasoning and Epistemic Actions in Discovering Processes of Strategic Games Problems. Mathematics 2020, 8, 989. https://doi.org/10.3390/math8060989

AMA Style

Barbero M, Gómez-Chacón IM, Arzarello F. Backward Reasoning and Epistemic Actions in Discovering Processes of Strategic Games Problems. Mathematics. 2020; 8(6):989. https://doi.org/10.3390/math8060989

Chicago/Turabian Style

Barbero, Marta, Inés M. Gómez-Chacón, and Ferdinando Arzarello. 2020. "Backward Reasoning and Epistemic Actions in Discovering Processes of Strategic Games Problems" Mathematics 8, no. 6: 989. https://doi.org/10.3390/math8060989

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