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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Authors: Torregrosa, Alba|||0000-0001-7954-3507, Albarracín Gordo, Lluís|||0000-0002-1387-5573
Format: article
Publication Date:2025
Country:España
Institution:Universitat Autònoma de Barcelona
Repository:Dipòsit Digital de Documents de la UAB
Language:Spanish
OAI Identifier:oai:ddd.uab.cat:322505
Online Access:https://ddd.uab.cat/record/322505
https://dx.doi.org/urn:doi:10.1007/s10649-025-10451-8
Access Level:Open access
Keyword:Problem solving
Mathematical patterns
Metacognition
Self-regulation
Non-linear orientation base
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spelling Characterizing metacognitive processes and mathematical skills during problem solving by using a non-linear orientation base as a self-regulation toolTorregrosa, Alba|||0000-0001-7954-3507Albarracín Gordo, Lluís|||0000-0002-1387-5573Problem solvingMathematical patternsMetacognitionSelf-regulationNon-linear orientation baseOver 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.Springer Netherlands 22025-01-0120252025-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/322505https://dx.doi.org/urn:doi:10.1007/s10649-025-10451-8reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaEspañolspaAgència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2021/SGR-00159Agencia Estatal de Investigación https://doi.org/10.13039/501100011033 PID2021-126707NB-I00open accesshttp://purl.org/coar/access_right/c_abf2Aquest 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.https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:3225052026-06-06T12:50:31Z
dc.title.none.fl_str_mv Characterizing metacognitive processes and mathematical skills during problem solving by using a non-linear orientation base as a self-regulation tool
title Characterizing metacognitive processes and mathematical skills during problem solving by using a non-linear orientation base as a self-regulation tool
spellingShingle Characterizing metacognitive processes and mathematical skills during problem solving by using a non-linear orientation base as a self-regulation tool
Torregrosa, Alba|||0000-0001-7954-3507
Problem solving
Mathematical patterns
Metacognition
Self-regulation
Non-linear orientation base
title_short Characterizing metacognitive processes and mathematical skills during problem solving by using a non-linear orientation base as a self-regulation tool
title_full Characterizing metacognitive processes and mathematical skills during problem solving by using a non-linear orientation base as a self-regulation tool
title_fullStr Characterizing metacognitive processes and mathematical skills during problem solving by using a non-linear orientation base as a self-regulation tool
title_full_unstemmed Characterizing metacognitive processes and mathematical skills during problem solving by using a non-linear orientation base as a self-regulation tool
title_sort Characterizing metacognitive processes and mathematical skills during problem solving by using a non-linear orientation base as a self-regulation tool
dc.creator.none.fl_str_mv Torregrosa, Alba|||0000-0001-7954-3507
Albarracín Gordo, Lluís|||0000-0002-1387-5573
author Torregrosa, Alba|||0000-0001-7954-3507
author_facet Torregrosa, Alba|||0000-0001-7954-3507
Albarracín Gordo, Lluís|||0000-0002-1387-5573
author_role author
author2 Albarracín Gordo, Lluís|||0000-0002-1387-5573
author2_role author
dc.subject.none.fl_str_mv Problem solving
Mathematical patterns
Metacognition
Self-regulation
Non-linear orientation base
topic Problem solving
Mathematical patterns
Metacognition
Self-regulation
Non-linear orientation base
description 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.
publishDate 2025
dc.date.none.fl_str_mv 2
2025-01-01
2025
2025-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/322505
https://dx.doi.org/urn:doi:10.1007/s10649-025-10451-8
url https://ddd.uab.cat/record/322505
https://dx.doi.org/urn:doi:10.1007/s10649-025-10451-8
dc.language.none.fl_str_mv Español
spa
language_invalid_str_mv Español
language spa
dc.relation.none.fl_str_mv Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2021/SGR-00159
Agencia Estatal de Investigación https://doi.org/10.13039/501100011033 PID2021-126707NB-I00
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer Netherlands
publisher.none.fl_str_mv Springer Netherlands
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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