Failure to teach/learn mathematics: a complexity-discursive perspective

Abstract In this theoretical essay, I build on complexity theory and commognition to theorize the ways in which failure to teach/learn mathematics (FTLM) emerges through the dynamic interactions among teacher, learner, and curriculum demands. I focus on two main concepts of complexity theory: emergence in dynamic systems and attractor states (stable, self-reinforcing patterns), and link them to the commognitive terms of ritualization (rigid focus on procedures and lack of agency) and identity. The complexity-commognitive view of FTLM is first contrasted against common, more linear explanations of FTLM. This view is then illustrated with two case studies—one exemplifying in micro-scale the short-term stabilization of ritualization in the interactions between the author and Dana, a 7th grade student identified as failing persistently in mathematics; the second exemplifying the temporal emergence of ritualization as an attractor state across 2 years (grades 7–9) in the case of a student, Idit, who was originally identified as a strong student and over the years developed an identity of failure. Finally, I discuss methodological, empirical, and practical implications of this complexity-commognitive view of FTLM.

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Publication Details

Journal
Educational Studies in Mathematics
Published
2025-04-16
DOI
https://doi.org/10.1007/s10649-025-10404-1
Citations
2
Primary Topic
Cognitive and developmental aspects of mathematical skills
Type
article
Field-Weighted Citation Impact
5.26

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article

Failure to teach/learn mathematics: a complexity-discursive perspective

Einat Heyd‐Metzuyanim
2 citations
Educational Studies in Mathematics
Cognitive and developmental aspects of mathematical skills
5.26
article

Failure to teach/learn mathematics: a complexity-discursive perspective

Einat Heyd‐Metzuyanim
article en
2 citations

Abstract

Abstract In this theoretical essay, I build on complexity theory and commognition to theorize the ways in which failure to teach/learn mathematics (FTLM) emerges through the dynamic interactions among teacher, learner, and curriculum demands. I focus on two main concepts of complexity theory: emergence in dynamic systems and attractor states (stable, self-reinforcing patterns), and link them to the commognitive terms of ritualization (rigid focus on procedures and lack of agency) and identity. The complexity-commognitive view of FTLM is first contrasted against common, more linear explanations of FTLM. This view is then illustrated with two case studies—one exemplifying in micro-scale the short-term stabilization of ritualization in the interactions between the author and Dana, a 7th grade student identified as failing persistently in mathematics; the second exemplifying the temporal emergence of ritualization as an attractor state across 2 years (grades 7–9) in the case of a student, Idit, who was originally identified as a strong student and over the years developed an identity of failure. Finally, I discuss methodological, empirical, and practical implications of this complexity-commognitive view of FTLM.

Educational Studies in MathematicsVol. 119(3)
Technion – Israel Institute of Technology (IL)
Israel Science Foundation, Technion-Israel Institute of Technology
Openalex Percentile: Top 5%
Cognitive and developmental aspects of mathematical skills
5.26
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Failure to teach/learn mathematics: a complexity-discursive perspective — Einat Heyd‐Metzuyanim · Educational Studies in Mathematics (2025) | TGRS Research Map | TGRS