Characterizing metacognitive processes and mathematical skills during problem solving by using a non-linear orientation base as a self-regulation tool

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 enhanc...

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Detalles Bibliográficos
Autores: Torregrosa, Alba|||0000-0001-7954-3507, Albarracín Gordo, Lluís|||0000-0002-1387-5573
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:español
OAI Identifier:oai:ddd.uab.cat:322505
Acceso en línea:https://ddd.uab.cat/record/322505
https://dx.doi.org/urn:doi:10.1007/s10649-025-10451-8
Access Level:acceso abierto
Palabra clave:Problem solving
Mathematical patterns
Metacognition
Self-regulation
Non-linear orientation base
Descripción
Sumario: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.