Analysis of teaching strategies and learning challenges in Linear Algebra

This paper provides a systematic review focused on diagnosing learning difficulties and implementing teaching strategies in the context of linear algebra. The research aims to deepen the understanding of this topic over the last decade. The study, guided by four questions, analyzed 84 articles and...

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Main Authors: Diana-Margarita Córdova-Esparza, Alethia Jimenez Piñon
Format: Article
Language:English
Published: Centro Latinoamericano de Estudios en Informática 2025-04-01
Series:CLEI Electronic Journal
Online Access:https://clei.org/cleiej/index.php/cleiej/article/view/701
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author Diana-Margarita Córdova-Esparza
Alethia Jimenez Piñon
author_facet Diana-Margarita Córdova-Esparza
Alethia Jimenez Piñon
author_sort Diana-Margarita Córdova-Esparza
collection DOAJ
description This paper provides a systematic review focused on diagnosing learning difficulties and implementing teaching strategies in the context of linear algebra. The research aims to deepen the understanding of this topic over the last decade. The study, guided by four questions, analyzed 84 articles and ultimately included 41 in the review. The search strategy was based on the PRISM protocol, and specific indicators were used. The findings indicate that most authors in the review primarily use the APOE theory and genetic decomposition for formal diagnosis of learning problems. This approach helps build knowledge frameworks, especially in vector spaces and linear transformations. A key finding is the prevalent use of digital technology in both the models and strategies proposed in these studies. This review highlights opportunities for future research in diagnosing learning problems and developing innovative, technology-integrated strategies in education.
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issn 0717-5000
language English
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publisher Centro Latinoamericano de Estudios en Informática
record_format Article
series CLEI Electronic Journal
spelling doaj-art-b2f1f291e9cd4fe0ade67652d3cd0dc72025-08-20T01:51:54ZengCentro Latinoamericano de Estudios en InformáticaCLEI Electronic Journal0717-50002025-04-0128210.19153/cleiej.28.2.11Analysis of teaching strategies and learning challenges in Linear AlgebraDiana-Margarita Córdova-Esparza0Alethia Jimenez PiñonUniversidad Autonoma de Queretaro This paper provides a systematic review focused on diagnosing learning difficulties and implementing teaching strategies in the context of linear algebra. The research aims to deepen the understanding of this topic over the last decade. The study, guided by four questions, analyzed 84 articles and ultimately included 41 in the review. The search strategy was based on the PRISM protocol, and specific indicators were used. The findings indicate that most authors in the review primarily use the APOE theory and genetic decomposition for formal diagnosis of learning problems. This approach helps build knowledge frameworks, especially in vector spaces and linear transformations. A key finding is the prevalent use of digital technology in both the models and strategies proposed in these studies. This review highlights opportunities for future research in diagnosing learning problems and developing innovative, technology-integrated strategies in education. https://clei.org/cleiej/index.php/cleiej/article/view/701
spellingShingle Diana-Margarita Córdova-Esparza
Alethia Jimenez Piñon
Analysis of teaching strategies and learning challenges in Linear Algebra
CLEI Electronic Journal
title Analysis of teaching strategies and learning challenges in Linear Algebra
title_full Analysis of teaching strategies and learning challenges in Linear Algebra
title_fullStr Analysis of teaching strategies and learning challenges in Linear Algebra
title_full_unstemmed Analysis of teaching strategies and learning challenges in Linear Algebra
title_short Analysis of teaching strategies and learning challenges in Linear Algebra
title_sort analysis of teaching strategies and learning challenges in linear algebra
url https://clei.org/cleiej/index.php/cleiej/article/view/701
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AT alethiajimenezpinon analysisofteachingstrategiesandlearningchallengesinlinearalgebra