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Positioning in mathematics: A case of 6-year-old students collaborating on combinatorics
Linnaeus University, Faculty of Technology, Department of Mathematics. Linnaeus University, Linnaeus Knowledge Environments, Education in Change. (Matematikdidaktik)ORCID iD: 0000-0003-2217-6624
Linnaeus University, Faculty of Technology, Department of Mathematics. (Matematikdidaktik)ORCID iD: 0000-0001-8452-6357
Linnaeus University, Faculty of Arts and Humanities, Department of Swedish Language.ORCID iD: 0000-0002-4842-7869
Linnaeus University, Faculty of Social Sciences, Department of Education. Linnaeus University, Faculty of Health and Life Sciences, Department of Chemistry and Biomedical Sciences.ORCID iD: 0000-0002-9193-943X
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2025 (English)In: LUMAT-B: International Journal on Math, Science and Technology Education, ISSN 2489-2572, Vol. 10, no 3, article id 16Article in journal (Refereed) Published
Sustainable development
SDG 4: Ensure inclusive and equitable quality education and promote lifelong learning opportunities for all
Abstract [en]

In mathematics education, collaboration between students is often emphasised as something desirable. The focus of this paper is on positioning in mathematics during collaborative problem solving and problem posing while exploring combinatorics. The study utilises the Learning Design Sequence model for lesson design and positioning theory as an analytical framework. In a sequence of lessons, students worked with both problem solving and problem posing, using different ways of representing their solutions, such as pictures, physical objects, and digital animations. One case of two 6-year-old students is used to illustrate their positioning during this sequence of lessons. One conclusion is that, when collaborating, students’ views of each other as learners in general and mathematics learners in particular may hinder the process of meaning making in mathematics. 

Place, publisher, year, edition, pages
Helsinki, Finland: University of Helsinki, 2025. Vol. 10, no 3, article id 16
Keywords [en]
positioning, problem solving, problem posing, animations
National Category
Didactics
Research subject
Mathematics, Mathematical Education
Identifiers
URN: urn:nbn:se:lnu:diva-142233OAI: oai:DiVA.org:lnu-142233DiVA, id: diva2:2010090
Conference
30th International Mathematical Views conference MAVI, Freiburg, Germany, 18 - 20 September, 2024
Funder
Swedish Research CouncilAvailable from: 2025-10-29 Created: 2025-10-29 Last updated: 2026-02-09Bibliographically approved

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Palmér, HannaEbbelind, AndreasDanielsson, KristinaPatron, EmelieWernholm, Marina

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Department of MathematicsEducation in ChangeDepartment of Swedish LanguageDepartment of EducationDepartment of Chemistry and Biomedical Sciences
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