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Disentangling magnitude processing, natural number biases, and benchmarking in fraction comparison tasks: A person-centered Bayesian classification approach

  • Research on fraction comparison shows that students often follow biased comparison strategies, in particular such strategies that build on their knowledge of natural numbers. On the other hand they also apply successful comparison strategies such as benchmarking or fraction magnitude processing. Which strategies are applied or even combined depends on the students’ knowledge and on the task type. To investigate these complex relationships, we developed a balanced 2 × 2-dimensional itemset (congruent vs. incongruent items; benchmarking vs. non-benchmarking items) and a Bayesian classification of individual students’ performance (solution patters, response time, and individual distance effect), which we applied to an assessment of N = 350 sixth graders. We could show that the classification of the students with respect to possible solution strategies matched our hypotheses: We could replicate existing patterns and found additional composite strategies such as ‘benchmarking or bias‘ with a bias only in solution rates of non-benchmark items. In further analyses we found ‘benchmarking or suppressed bias-strategies (i.e., a bias in problem solving time of non-benchmarking items). Our study extends previous knowledge on individual strategies in fraction comparison and proposes a new person-centered approach to classify individual student profiles even with small profile sizes.

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Metadaten
Author:Frank ReinholdORCiD, Timo LeudersORCiD, Katharina LoiblORCiD
URN:urn:nbn:de:bsz:frei129-opus4-34650
DOI:https://doi.org/10.1016/j.cedpsych.2023.102224
ISSN:1090-2384
Parent Title (English):Contemporary Educational Psychology
Publisher:Elsevier
Document Type:Article
Language:English
Year of Completion:2023
Date of first Publication:2023/09/06
Release Date:2025/04/02
Tag:Magnitude estimation; Natural number bias; Size comparison; Transitive strategies; Typical errors
Volume:75
Article Number:102224
Note:
Zitation nach APA:
Reinhold, F., Leuders, T., & Loibl, K. (2023). Disentangling magnitude processing, natural number biases, and benchmarking in fraction comparison tasks: A person-centered Bayesian classification approach. Contemporary Educational Psychology, 75, 102224.
DDC class:500 Naturwissenschaften und Mathematik / 510 Mathematik
Open Access:Frei zugänglich
Licence (German):License LogoCreative Commons - CC BY - Namensnennung 4.0 International