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Connecting Early Algebra and Sustainability Through Dilemmas in Algebraic Wicked Problems
Stockholm University, Faculty of Humanities, Department of Teaching and Learning.ORCID iD: 0000-0002-0252-7223
Stockholm University, Faculty of Humanities, Department of Teaching and Learning.ORCID iD: 0000-0003-1975-7778
Stockholm University, Faculty of Humanities, Department of Teaching and Learning.ORCID iD: 0000-0002-5736-7562
2024 (English)In: Proceedings from ICME 15, Topic Study Group 1.2: Teaching and Learning of Early Algebra / [ed] Aisling Twohill; Işıl Işler Baykal; Jodie Miller; Eric Knuth; Alessandro Ribeiro, 2024, p. 16-23Conference paper, Published paper (Refereed)
Abstract [en]

Early algebraic thinking can be connected in significant ways to sustainability issues through algebraic wicked problems (AWP). AWP are problems that mobilize children to think algebraically while experiencing dilemmas on values at stake in sustainability. Both algebraic thinking and sustainability issues become inseparably connected. From an ongoing analysis of 10 research group meetings over a school year in a group consisting of teachers, pre-service teachers, and researchers, and based on observed lessons, we explore such dilemmas as a central characteristic of AWP. This provides details into what may be important aspects in the further design of AWPs.

Place, publisher, year, edition, pages
2024. p. 16-23
Keywords [en]
algebraic wicked problems, early algebra, contradictions, critical mathematics education, sustainability, socio-ecological issues
National Category
Didactics
Research subject
Mathematics Education
Identifiers
URN: urn:nbn:se:su:diva-239596OAI: oai:DiVA.org:su-239596DiVA, id: diva2:1937806
Conference
15th International Congress on Mathematical Education (ICME-15), Sydney, Australia, 7-14 July, 2024
Available from: 2025-02-14 Created: 2025-02-14 Last updated: 2026-04-16Bibliographically approved
In thesis
1. The Wicked World of Algebra: Re-imagining the practices of teaching and learning early algebra in the socio-ecological
Open this publication in new window or tab >>The Wicked World of Algebra: Re-imagining the practices of teaching and learning early algebra in the socio-ecological
2026 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis reimagines the teaching and learning of early algebra for students in grades K-3 in light of current socio-ecological crises. While early algebra has primarily been justified as preparation for later mathematical studies, I argue that algebraic thinking is also a key component of critical citizenship: it can help young students recognize, question, and act on the relationships, models, and values that shape their life-worlds.

The overarching aim is to examine how to create conditions that enable students in the early grades to participate in algebraic activity, first focusing on algebraic development and then expanding to citizenship within a socio-ecological context. Across three phases of work, the thesis brings together Learning Activity Theory (LAT) and Critical Mathematics Education (CME) and uses them in complementary ways. This theoretical combination broadens prevailing definitions of algebraic activity and reveals its educational possibilities.

Part 1 (my licentiate thesis) explores aspects of teaching that create conditions for students in grades K–3 to engage in algebraic work. Part 2 critically examines influential overview literature in early algebra to analyze which “powerful algebraic ideas” are foregrounded, revealing a predominance of logical and psychological framings and a relative scarcity of cultural and sociological framings connected to citizenship. Part 3 explores critical problem situations for early algebra within the socio-ecological. In this third part, a research team consisting of in-service teachers, pre-service teachers, teacher educators, and researchers has been developing the concept of Algebraic Wicked Problems (AWPs) to integrate early algebra and the socio-ecological into students’ work.

The main contribution of this thesis is a conceptualization of AWPs as five interrelated features. Another contribution highlights the powerful complementarity between LAT and CME. These results suggest directions for curricula and pedagogy that position early algebra as both a form of mathematical development and preparation for critical citizenship in uncertain socio-ecological times.

Place, publisher, year, edition, pages
Stockholm: Department of Teaching and Learning, Stockholm University, 2026. p. 179
Keywords
algebraic wicked problems, early algebra, critical mathematics education, learning activity theory, socio-ecological
National Category
Didactics
Research subject
Mathematics Education
Identifiers
urn:nbn:se:su:diva-254253 (URN)978-91-8107-622-6 (ISBN)978-91-8107-623-3 (ISBN)
Public defence
2026-06-05, Hörsal 9, hus D, Universitetsvägen 10 D and online via Zoom, public link is available at the department website, Stockholm, 13:00 (English)
Opponent
Supervisors
Available from: 2026-05-11 Created: 2026-04-16 Last updated: 2026-05-28Bibliographically approved

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Other links

https://doi.org/10.5281/zenodo.14525049

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Fred, JennyVan Steenbrugge, HendrikValero, Paola

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