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Reasoning in Decision Making Under Uncertainty and Decisions of Risk in a Game of Chance

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Teaching and Learning Stochastics

Part of the book series: ICME-13 Monographs ((ICME13Mo))

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Abstract

We present a design-based research study that aimed to enhance the stochastic reasoning of 48 Spanish students (Grade 7, age 12) when making decisions in situations involving uncertainty and risk during a game of chance task called Integer Addition Bingo. Grounded in a review of the literature, the task was designed with the aim of improving students’ learning and reasoning about risk management through a process of understanding the random nature of the game, and operationalizing risk management. A qualitative retrospective analysis was performed to identify the structural static aspects of students’ reasoning. Then, a retrospective analysis of the functional dynamic aspects of students’ reasoning led to the identification of six different learning trajectories.

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Correspondence to Ana Serradó Bayés .

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Serradó Bayés, A. (2018). Reasoning in Decision Making Under Uncertainty and Decisions of Risk in a Game of Chance. In: Batanero, C., Chernoff, E. (eds) Teaching and Learning Stochastics. ICME-13 Monographs. Springer, Cham. https://doi.org/10.1007/978-3-319-72871-1_12

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  • DOI: https://doi.org/10.1007/978-3-319-72871-1_12

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