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.  |
| 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
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