Unravelling (Mis)conceptions about Algebraic Letters: Exploring Response Patterns in the 'Meaning of Letters' SMART-test using Latent Class Analysis
Publication date
2024-11-27
Authors
Klingbeil, Katrin
Moons, Filip
Editors
Iannone, Paola
Moons, Filip
Drüke-Noe, Christina
Geraniou, Eirini
Morselli, Francesca
Klingbeil, Katrin
Veldhuis, Michiel
Olsher, Shai
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Supervisors
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Part of book
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Abstract
Identifying typical hurdles, common errors and misconceptions in a certain domain is crucial to deepen our understanding of students’ learning. In this paper, we explore response patterns of 2051 German grade 7 and 8 students shown in the SMART-test “Meaning of Letters”, designed to assess (mis)conceptions regarding variables, more precisely, the letter-as-object misconception. Using Latent Class Analysis, we were able to identify six response patterns. These patterns are described and thoroughly analysed. They urge us to think more deeply about the interplay between (mis)conceptions and contexts and can help build valid assessment tools to diagnose students’ current understanding.
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Klingbeil, K & Moons, F 2024, Unravelling (Mis)conceptions about Algebraic Letters : Exploring Response Patterns in the 'Meaning of Letters' SMART-test using Latent Class Analysis. in P Iannone, F Moons, C Drüke-Noe, E Geraniou, F Morselli, K Klingbeil, M Veldhuis & S Olsher (eds), Proceedings of FAME 1 – Feedback & Assessment in Mathematics Education (ETC 14), 5-7 June 2024, Utrecht (The Netherlands). Utrecht University, Utrecht, pp. 170-177. https://doi.org/10.5281/zenodo.14231455