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Characterizing metacognitive processes and mathematical skills during problem solving by using a non-linear orientation base as a self-regulation tool
Torregrosa, Alba (Universitat Autònoma de Barcelona. Departament de Didàctica de la Matemàtica i de les Ciències Experimentals)
Albarracín Gordo, Lluís (Universitat Autònoma de Barcelona. Departament de Didàctica de la Matemàtica i de les Ciències Experimentals)

Publicació: Springer Netherlands, 2025
Descripció: 32 pàg.
Resum: Over the past few decades, research has shown that metacognition plays a critical role in helping students in the solving of mathematical problems. Despite the existence of several tools for assessing the metacognitive processes in problem solving, there is a notable lack of tools designed to enhance these processes over time. The purpose of this study is to introduce an instrument called Non-Linear Orientation Base (N-LOB) and examine its impact on metacognitive self-regulation during pattern-based problem solving. In particular, the study aims to characterise the mathematical skills and metacognitive processes shown by three groups of sixth grade students as they construct and refine a N-LOB. Results suggest that metacognitive regulation processes have a general character when compared to the awareness and evaluation processes, which are more closely tied to specific skills required for pattern-based problem solving. Moreover, deeper engagement with the N-LOB correlates with the emergence of more advanced mathematical skills related to generalization. The study concludes by highlighting the potential of the N-LOB as a tool for promoting metacognitive self-regulation in the context of problem solving.
Ajuts: Agència de Gestió d'Ajuts Universitaris i de Recerca 2021/SGR-00159
Agencia Estatal de Investigación PID2021-126707NB-I00
Nota: Altres ajuts: acords transformatius de la UAB
Nota: Open Access Funding provided by Universitat Autònoma de Barcelona.
Drets: Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original. Creative Commons
Llengua: Castellà
Document: Article ; recerca ; Versió publicada
Matèria: Problem solving ; Mathematical patterns ; Metacognition ; Self-regulation ; Non-linear orientation base
Publicat a: Educational Studies in Mathematics, 2025, p. 1-20, ISSN 1573-0816

DOI: 10.1007/s10649-025-10451-8


32 p, 3.2 MB

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