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Algebraic thinking and level of generalisation: students’ experiencing of comparisons of quantities
Dalarna University, School of Education, Health and Social Studies, Mathematics Education. Stockholms universitet.ORCID iD: 0000-0003-3772-8073
2019 (English)In: Nordisk matematikkdidaktikk, NOMAD: [Nordic Studies in Mathematics Education], ISSN 1104-2176, Vol. 4, no 3-4Article in journal (Refereed) Published
Abstract [en]

This article explores grade 1 students’ different ways of experiencing quantity comparisons after participating in teaching designed as a learning activity using tasks from the Davydov curriculum. A phenomenographic analysis generated three hierarchical ways of experiencing comparisons: counting numerically, relating quantities, and conserving relationships. The first category comprises arithmetic ways of thinking, whereas the second and third categories comprise algebraic ways of thinking. Algebraic thinking was identified as reflections on relationships between quantities at different levels of generalisation. The implications of these results in relation learning activity theory are discussed.

Place, publisher, year, edition, pages
2019. Vol. 4, no 3-4
National Category
Pedagogical Work
Research subject
Research Profiles 2009-2020, Education and Learning
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URN: urn:nbn:se:du-35427OAI: oai:DiVA.org:du-35427DiVA, id: diva2:1501592
Available from: 2020-11-17 Created: 2020-11-17 Last updated: 2024-03-12Bibliographically approved

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Eriksson, Helena

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