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

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...

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Bibliographic Details
Published in:Mathematics (Basel) 2020-06, Vol.8 (6), p.989
Main Authors: Barbero, Marta, Gómez-Chacón, Inés M., Arzarello, Ferdinando
Format: Article
Language:English
Subjects:
abstraction processes
Algorithms
backward reasoning
Cognition & reasoning
Engineering education
Epistemology
Game theory
Games
Investigations
Mathematical analysis
mathematical education
Mathematicians
Mathematics
Problem solving
Reasoning
reasoning and proof
strategy games
Students
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Summary: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math8060989