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

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  • Marta Barbero

    (Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain
    Dipartimento di Matematica “G. Peano”, Università degli Studi di Torino, 20123 Turin, Italy)

  • 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)

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.

Suggested Citation

  • Marta Barbero & Inés M. Gómez-Chacón & Ferdinando Arzarello, 2020. "Backward Reasoning and Epistemic Actions in Discovering Processes of Strategic Games Problems," Mathematics, MDPI, vol. 8(6), pages 1-17, June.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:6:p:989-:d:372570
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