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Opportunities for Cognitive Activation: Intended, Enacted, and Experienced Practices in Mathematics Education
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013).ORCID iD: 0000-0001-9673-5391
2026 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

At the core of mathematics education lies the development of students’ mathematical thinking. In classroom research, opportunities for such thinking can be conceptualized through cognitive activation, which entails practices that support students’ engagement with challenging tasks, subject discourse, and reasoning. The aim of this thesis is to explore cognitive activation as a multidimensional opportunity structure in mathematics classrooms, focusing on intended, enacted, and experienced opportunities, and on how students’ experienced opportunities relate to self-efficacy, test anxiety, and mathematical achievement.

The thesis consists of four empirical papers conducted in Swedish secondary mathematics education. It examines classroom-level and individually perceived cognitive activation in relation to self-efficacy, test anxiety, and achievement. Furthermore, it explores teachers’ intended facilitation in lesson plans involving a challenging task, and how observed instructional features co-occur to form lesson segment types across lessons and classrooms. 

 The findings show that cognitive activation can be understood as an opportunity structure constituted by interrelated dimensions, including task and interaction demands, teachers’ facilitation, and subject discourse. Experienced cognitive activation was positively associated with self-efficacy, and self-efficacy may mediate the relation between cognitive activation and achievement. Teachers’ facilitation of challenging tasks, analysed as regulation of learning, varied across planned instructional events, and enacted opportunities formed distinct lesson segment types in terms of cognitive activation and instructional clarity, working format, and lesson phase.

Overall, the thesis contributes to how cognitive activation can be theorised and studied as a multidimensional opportunity structure, and offers insights into how it can inform teachers’ didactical decision-making.

Abstract [en]

Mathematical thinking is central in mathematics education. Opportunities for such thinking can be conceptualized through cognitive activation: practices that support students’ engagement with challenging tasks, subject discourse, and reasoning. This thesis explores intended, enacted, and experienced opportunities of cognitive activation, and their relation to self-efficacy, test anxiety, and achievement. 

Across four empirical papers in Swedish secondary education, the thesis examines classroom-level and individually perceived cognitive activation, teachers’ intended facilitation of a challenging task, and observed segment types across lessons and classrooms.

Findings show that cognitive activation is constituted by interrelated dimensions, including task and interaction demands, teachers’ facilitation, and subject discourse. Experienced cognitive activation was positively associated with self-efficacy, which may mediate between cognitive activation and achievement. Planned facilitation varied across instructional events, and observed lesson segments differed in cognitive activation and instructional clarity. 

Overall, the thesis contributes to theorising and studying cognitive activation as a multidimensional opportunity structure and offers insights for didactical decision-making.

Place, publisher, year, edition, pages
Karlstad: Karlstads universitet, 2026. , p. 62
Series
Karlstad University Studies, ISSN 1403-8099 ; 2026:35
Keywords [en]
Mathematics education, cognitive activation, mathematical thinking, teaching quality, self-efficacy
National Category
Didactics Mathematical sciences
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-109840DOI: 10.59217/prve4472ISBN: 978-91-7867-721-4 (print)ISBN: 978-91-7867-722-1 (electronic)OAI: oai:DiVA.org:kau-109840DiVA, id: diva2:2055206
Public defence
2026-06-12, 1B309 Sjöströmsalen, Karlstads Universitet, Karlstad, 09:00 (English)
Opponent
Supervisors
Funder
Swedish Research Council, 2019-04419Available from: 2026-05-21 Created: 2026-04-23 Last updated: 2026-05-21Bibliographically approved
List of papers
1. Cognitive Activation and Links to Mathematical Learning
Open this publication in new window or tab >>Cognitive Activation and Links to Mathematical Learning
(English)In: Article in journal (Refereed) Submitted
National Category
Didactics
Research subject
Mathematics didactics
Identifiers
urn:nbn:se:kau:diva-109832 (URN)
Available from: 2026-04-23 Created: 2026-04-23 Last updated: 2026-04-23
2. Exploring the relationships between individual cognitive activation, self-efficacy and testanxiety in upper secondary mathematics
Open this publication in new window or tab >>Exploring the relationships between individual cognitive activation, self-efficacy and testanxiety in upper secondary mathematics
2025 (English)In: Proceedings of the International Group for the Psychology of Mathematics Education / [ed] Cornejo C., Felmer P., Gómez D.M., Dartnell P., Araya P., Peri A., Randolph V., Psychology of Mathematics Education (PME) , 2025, Vol. 2, p. 3-10Conference paper, Published paper (Refereed)
Abstract [en]

In this exploratory study of 1009 upper secondary students from 49 classrooms, two dimensions of individual cognitive activation were distinguished: task demands and interaction demands. Both dimensions contributed to students’ self-efficacy, although task demands (β=0.235, p<.001) to a greater extent than interaction demands (β=0.176, p<.001). Higher task demands predicted increased test-anxiety (β=0.109, p<..001), though the negative indirect effect via self-efficacy (β=–0.087, p<.001) rendered the total effect non-significant. Interaction demands showed an indirect relationship with test-anxiety via self-efficacy (β=–0.065, p<.001). These findings show the importance of students’ individual perceived cognitive activation related to self-efficacy and test-anxiety, with potential implications for theory and practice.

Place, publisher, year, edition, pages
Psychology of Mathematics Education (PME), 2025
National Category
Psychology Didactics
Research subject
Mathematics; Subject-specific education
Identifiers
urn:nbn:se:kau:diva-106744 (URN)2-s2.0-105013576972 (Scopus ID)
Conference
48th Annual Conference of the International Group for the Psychology of Mathematics Education, PME, Santiago, Chile, July 28-August 2, 2024.
Available from: 2025-09-03 Created: 2025-09-03 Last updated: 2026-04-23Bibliographically approved
3. Regulation of Learning in Lesson Planning Around a Challenging Task
Open this publication in new window or tab >>Regulation of Learning in Lesson Planning Around a Challenging Task
(English)Manuscript (preprint) (Other academic)
National Category
Didactics
Research subject
Mathematics didactics
Identifiers
urn:nbn:se:kau:diva-109830 (URN)
Available from: 2026-04-23 Created: 2026-04-23 Last updated: 2026-05-28Bibliographically approved
4. Unpacking Mathematics Lessons: A Latent Class Analysis of Instructional Features Within and Across Lessons and Classrooms
Open this publication in new window or tab >>Unpacking Mathematics Lessons: A Latent Class Analysis of Instructional Features Within and Across Lessons and Classrooms
(English)In: Article in journal (Refereed) Submitted
National Category
Didactics
Identifiers
urn:nbn:se:kau:diva-109831 (URN)
Available from: 2026-04-23 Created: 2026-04-23 Last updated: 2026-04-23

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