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

Marta Barbero, Inés M. Gómez-Chacón and Ferdinando Arzarello
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Marta Barbero: Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain
Inés M. Gómez-Chacón: Instituto de Matemática Interdisciplinar, Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain
Ferdinando Arzarello: Dipartimento di Matematica “G. Peano”, Università degli Studi di Torino, 20123 Turin, Italy

Mathematics, 2020, vol. 8, issue 6, 1-17

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.

Keywords: reasoning and proof; strategy games; backward reasoning; engineering education; mathematical education; abstraction processes; epistemic actions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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