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Analysing students’ notes when calculating in Bayesian situations

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  • معلومة اضافية
    • Contributors:
      University of Kassel, Institute of Mathematics; University of Regensburg, Faculty of Mathematics; Ludwig Maximilian University of Munich, Institute of Mathematics; University of Freiburg, Department of Mathematics Education; University of Education, Heidelberg, Institute of Mathematics; Alfréd Rényi Institute of Mathematics; Eötvös Loránd University of Budapest; Paul Drijvers; Csaba Csapodi; Hanna Palmér; Katalin Gosztonyi; Eszter Kónya
    • بيانات النشر:
      HAL CCSD
      Alfréd Rényi Institute of Mathematics
      ERME
    • الموضوع:
      2023
    • Collection:
      Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe)
    • الموضوع:
    • نبذة مختصرة :
      International audience ; Calculation in a so-called Bayesian situation is known to be challenging. According to a meta-analysis the performance is only 4% if the relevant information is given in form of probabilities. Still, previous research has identified helpful strategies for improving Bayesian reasoning (i.e., so-called natural frequencies and visualizations). Yet, it has hardly been studied, if and how students use these strategies themselves. Thus, in this paper we focus on the process instead of the result of students who work on a Bayesian situation. For that, we present a coding system for analysing the notes of the students and the strategies which they apply for the calculation. We identify that the the students hardly ever use the strategy of natural frequencies. Further, about half of the students use common visualizations such as a probability tree-diagram or a 2×2 table. Yet, completing the 2×2 table was error-prone as students often entered conditional (instead of joint) probabilities into the inner fields.
    • ISBN:
      978-963-7031-04-5
      963-7031-04-9
    • Relation:
      hal-04410907; https://hal.science/hal-04410907; https://hal.science/hal-04410907/document; https://hal.science/hal-04410907/file/TWG5-Bu%CC%88chter-233.pdf
    • Rights:
      info:eu-repo/semantics/OpenAccess
    • الرقم المعرف:
      edsbas.5AA22367