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Generalized mathematics self-efficacy and student engagement: the role of self-concept and mathematics anxiety
Luleå University of Technology, Department of Health, Education and Technology, Education, Language, and Teaching.ORCID iD: 0000-0002-7587-7152
2026 (English)In: Frontiers in Psychology, E-ISSN 1664-1078, Vol. 17, article id 1852588Article in journal (Refereed) Published
Abstract [en]

Introduction: 

Mathematics self-efficacy and mathematics self-concept are well-established predictors of student engagement and performance. However, their relative contributions, alongside mathematics anxiety, are rarely examined within a single model. This study investigates how generalized mathematics self-efficacy, mathematics self-concept, and mathematics anxiety are associated with multiple dimensions of student engagement in the context of collaborative work on mathematical problems.

Methods: 

Seventy-seven Swedish upper-secondary students participated in a 2-week instructional segment involving complex problem-solving, with data collected at two time points. Associations among mathematics self-beliefs, mathematics anxiety, and engagement were examined using linear mixed-effects models within both frequentist and Bayesian frameworks.

Results: 

The results indicate that generalized mathematics self-efficacy shows consistent positive associations with all dimensions of engagement, whereas mathematics self-concept displays more limited and selective relations. Mathematics anxiety is primarily associated with cognitive disengagement. In addition, patterns of associations suggest that prior achievement may relate to engagement through its relation to generalized mathematics self-efficacy.

Discussion: 

These findings are consistent with theoretical perspectives emphasizing the role of control-related beliefs and achievement emotions in shaping engagement. The study highlights the importance of distinguishing between different types of mathematics self-beliefs and emotional processes and demonstrates the value of examining them jointly within a single analytical framework.

Place, publisher, year, edition, pages
Frontiers Media S.A., 2026. Vol. 17, article id 1852588
Keywords [en]
bayesian statistics, generalized mathematics self-e cacy, mathematics anxiety, mathematics self-concept, path analysis, problem-solving, student engagement
National Category
Didactics
Research subject
Mathematics and Science Education
Identifiers
URN: urn:nbn:se:ltu:diva-108614DOI: 10.3389/fpsyg.2026.1852588ISI: 001806345600001OAI: oai:DiVA.org:ltu-108614DiVA, id: diva2:1890096
Note

Fulltext license: CC BY;

This article has previously appeared as a manuscript in a thesis.

Available from: 2024-08-19 Created: 2024-08-19 Last updated: 2026-10-05Bibliographically approved
In thesis
1. Navigating Methodological Challenges: A Quantitative Exploration of Students' Mathematics Self-Beliefs
Open this publication in new window or tab >>Navigating Methodological Challenges: A Quantitative Exploration of Students' Mathematics Self-Beliefs
2024 (English)Doctoral thesis, comprehensive summary (Other academic)
Alternative title[sv]
Att navigera metodologiska utmaningar : En kvantitativ undersökning av studenters självuppfattning i matematik
Abstract [en]

Mathematics self-beliefs influence students’ self-image, classroom behavior, engagement, and motivation. However, current research faces challenges due to overlapping constructs, which can lead to high correlations and ambiguous findings. For instance, while mathematics self-efficacy is often defined broadly in educational research, task-specific mathematics self-efficacy refers specifically to confidence in completing particular tasks. To enhance the credibility of predictions regarding mathematics achievement, it is crucial to distinguish between different types of general mathematics self-beliefs. This thesis aims to provide new insights into these beliefs by refining methodologies for their measurement.

An exploratory factor analysis of upper-secondary student data, utilizing both quantitative and qualitative reasoning, revealed a clear distinction between mathematics self-concept and generalized mathematics self-efficacy beliefs. A key difference between these two constructs is that the latter significantly influences student engagement. Additionally, the identified factor structure included two constructs related to mathematics anxiety. One noteworthy finding is that the worries of providing incorrect answers in the classroom significantly contribute to gender differences and diminish students’ agentic engagement. Overall, these findings underscore the importance of removing variables with substantial intercorrelations from the analysis, provided this procedure is supported by qualitative reasoning. The findings of this thesis support a pragmatic approach to investigating mathematics self-beliefs, ultimately offering new insights into the significant role of autonomy-supportive teaching in shaping students’ general mathematics self-beliefs.

Place, publisher, year, edition, pages
Luleå: Luleå University of Technology, 2024
Series
Doctoral thesis / Luleå University of Technology, ISSN 1402-1544
Keywords
Mathematics Self-efficacy, Mathematics Self-concept, Operationalization challenges, Exploratory Factor Analysis, Student Engagement and Motivation
National Category
Didactics
Research subject
Mathematics Education
Identifiers
urn:nbn:se:ltu:diva-108623 (URN)978-91-8048-614-9 (ISBN)978-91-8048-615-6 (ISBN)
Public defence
2024-10-17, C305, Luleå University of Technology, Luleå, 13:00 (Swedish)
Opponent
Supervisors
Available from: 2024-08-19 Created: 2024-08-19 Last updated: 2025-10-21Bibliographically approved

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Bergqvist, Erik

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Citation style
  • apa
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