Backward Reasoning and Epistemic Actions in Strategic Games Problems

Barbero, Marta and Gómez-Chacón, I. M. and Arzarello, Ferdinando (2020) Backward Reasoning and Epistemic Actions in Strategic Games Problems. In: Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics Third Conference of the International Network for Didactic Research in University Mathematics, University of Carthage, Tunisia.

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Abstract

This paper focuses on the epistemic and cognitive characterization of backward reasoning in strategy games resolution. It explores the use of AiC (Abstraction in Context) as a tool for the analysis of the epistemic actions involved in these processes. It is reported a first analysis developed by the research team in order to be used as protocol-guide in the analysis of a study carried out with PhD students in Mathematics Degree in a Spanish and an Italian University, who face problem solving games. The case study shows the process of discovery that a PhD student makes to formulate a general recursive formula. It is a key for understanding the interaction between the AiC model and the characteristics of backward reasoning. The analysis allows to combine the two models - backward reasoning and AiC - in a unified framework that allows to focus both short-term and long-term processes in students’ activities.

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