Abstract

Objectives The purpose of this study was to analyze what kind of reasoning high school students make in conditional propositions in real-life contexts and the reasons for making such reasoning using selection tasks.
 Methods To address the research question, 334 students from high schools located in Gyeongsang Nam-do were selected and they participated in the survey of reasoning from conditional propositions in a real-life context. Their response data were classified according to criteria, and the results were analyzed.
 Results As a result, the number of participants who made correct inferences about the ‘card reasoning problem’, ‘COVID-19 checkup problem’, was analyzed to be 7.78% and 9.28%. When these response were considered together with the reasons for reasoning, it was confirmed that only a small number of participant (3.29%, 2.99%) made inferences considering the falsifiability.
 Conclusions Base on the result, it was proposed to use real-life context conditional propositions tasks as pedagogical materials that help recognize mathematical usefulness and enhance logical thinking. If you balance the reasoning tasks of the mathematical context with the real-life context, It will be an opportunity to learn reasoning that considers not only the inclusion of the truth set but also the falsification.

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