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

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Barbero, Marta and Gómez Chacón, Inés M. and Arzarello, Ferdinando (2020) Backward Reasoning and Epistemic Actions in Discovering Processes of Strategic Games Problems. Mathematics, 8 (6). p. 989. ISSN 2227-7390

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Official URL: https://doi.org/10.3390/math8060989




Abstract

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.


Item Type:Article
Uncontrolled Keywords:reasoning and proof; strategy games; backward reasoning; engineering education; mathematical education; abstraction processes; epistemic actions
Subjects:Sciences > Mathematics > Logic, Symbolic and mathematical
Humanities > Education > Mathematics study and teaching
ID Code:67545
Deposited On:27 Aug 2021 11:19
Last Modified:06 Sep 2021 09:15

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