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Büchter, Theresa ; Steib, Nicole ; Binder, Karin ; Böcherer-Linder, Katharina ; Eichler, Andreas ; Krauss, Stefan ; Vogel, Markus

Analysing students’ notes when calculating in Bayesian situations

Büchter, Theresa, Steib, Nicole , Binder, Karin , Böcherer-Linder, Katharina, Eichler, Andreas, Krauss, Stefan und Vogel, Markus (2023) Analysing students’ notes when calculating in Bayesian situations. In: Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13), Juli 2023, Alfréd Rényi Institute of Mathematics, Eötvös Loránd University of Budapest.

Veröffentlichungsdatum dieses Volltextes: 14 Okt 2025 05:24
Konferenz- oder Workshop-Beitrag
DOI zum Zitieren dieses Dokuments: 10.5283/epub.77958


Zusammenfassung

Calculation in a so-called Bayesian situation is known to be challenging. According to a metaanalysis 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 ...

Calculation in a so-called Bayesian situation is known to be challenging. According to a metaanalysis 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.



Beteiligte Einrichtungen


Details

DokumentenartKonferenz- oder Workshop-Beitrag (Paper)
DatumJuli 2023
InstitutionenMathematik > Prof. Dr. Stefan Krauss
Identifikationsnummer
WertTyp
HAL Id: hal-04410907Andere
Stichwörter / KeywordsBayesian reasoning, visualization, natural frequencies
Dewey-Dezimal-Klassifikation100 Philosophie und Psychologie > 150 Psychologie
300 Sozialwissenschaften > 370 Erziehung, Schul- und Bildungswesen
500 Naturwissenschaften und Mathematik > 510 Mathematik
StatusVeröffentlicht
BegutachtetJa, diese Version wurde begutachtet
An der Universität Regensburg entstandenZum Teil
URN der UB Regensburgurn:nbn:de:bvb:355-epub-779589
Dokumenten-ID77958

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