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Students' performance and typical errors in filling empty probabilistic visualizations with probabilities or frequencies
Rößner, Michael, Binder, Karin
, Geier, Corbinian und Krauss, Stefan
(2025)
Students' performance and typical errors in filling empty probabilistic visualizations with probabilities or frequencies.
Educational Studies in Mathematics 120 (1), S. 137-167.
Veröffentlichungsdatum dieses Volltextes: 15 Okt 2025 04:17
Artikel
DOI zum Zitieren dieses Dokuments: 10.5283/epub.77970
Zusammenfassung
It has been established that, in Bayesian tasks, performance and typical errors in reading information from filled visualizations depend both on the type of the provided visualization and information format. However, apart from reading visualizations, students should also be able to create visualizations on their own and successfully use them as heuristic tools in modeling tasks. In this paper, ...
It has been established that, in Bayesian tasks, performance and typical errors in reading information from filled visualizations depend both on the type of the provided visualization and information format. However, apart from reading visualizations, students should also be able to create visualizations on their own and successfully use them as heuristic tools in modeling tasks. In this paper, we first want to broaden the view on Bayesian reasoning to probabilistic tasks with two binary events in general and embed the whole process of solving these tasks using probabilistic visualizations in a modified modeling framework. Thereby, it becomes apparent that most of the steps remained untouched by existing research. Second, in the present empirical study, we focused on one part of the largely unexplored creation process and examined entering statistical information into empty visualizations as heuristic tools. N = 172 participants had to enter conditional and joint probabilities or the corresponding frequencies into empty visualizations in a paper-and-pencil~test. We analyze (a) students' performance when entering information in visualizations and (b) typical errors, both dependent on the information format (probabilities vs. natural frequencies), which empty visualization structure (2⨯2 table, double~tree, net diagram) was provided, and type of information (conditional vs. joint information). The well-known positive effect of natural frequencies on participants' performance was evident when entering conditional information into 2⨯2 tables and net diagrams. However, with respect to joint information, no superior effect of frequencies was observed. Furthermore, the theoretical implementation of our research in a modeling cycle allows~us to identify desiderata for future research.
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Details
| Dokumentenart | Artikel | ||||
| Titel eines Journals oder einer Zeitschrift | Educational Studies in Mathematics | ||||
| Verlag: | Springer | ||||
|---|---|---|---|---|---|
| Band: | 120 | ||||
| Nummer des Zeitschriftenheftes oder des Kapitels: | 1 | ||||
| Seitenbereich: | S. 137-167 | ||||
| Datum | 6 Februar 2025 | ||||
| Institutionen | Mathematik > Prof. Dr. Stefan Krauss | ||||
| Identifikationsnummer |
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| Stichwörter / Keywords | Filling empty visualizations, Net diagram, Double tree, 2⨯2 table, Frequency effect, Typical errors | ||||
| Dewey-Dezimal-Klassifikation | 100 Philosophie und Psychologie > 150 Psychologie 300 Sozialwissenschaften > 370 Erziehung, Schul- und Bildungswesen 500 Naturwissenschaften und Mathematik > 510 Mathematik | ||||
| Status | Veröffentlicht | ||||
| Begutachtet | Ja, diese Version wurde begutachtet | ||||
| An der Universität Regensburg entstanden | Zum Teil | ||||
| URN der UB Regensburg | urn:nbn:de:bvb:355-epub-779701 | ||||
| Dokumenten-ID | 77970 |
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