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Discursive algebraic skills and their impact on K-3 pre-service teachers' mathematical written efficiency
Södertörn University, School of Educational Sciences, Mathematics Education.ORCID iD: 0000-0003-0417-2574
University of Gothenburg, Sweden.
2026 (English)In: Education and New Developments 2026: Volume 1 / [ed] Mafalda Carmo, Lisboa: inScience Press, 2026, Vol. 1, p. 96-100Conference paper, Published paper (Refereed)
Abstract [en]

The objective of this study was to analyse the relationship between pre-service teachers’ (PSTs’) discursive algebraic skills and their written mathematical (specifically algebraic) achievements. The conceptual design consists of three theoretical perspectives that are merged in the study. This study used a mixed-methods design, combining quantitative and qualitative approaches. The PSTs completed an algebraic knowledge test designed to identify their discursive and algebraic knowledge, and a content analysis of their written texts was then performed. The written texts focused on algebraic patterns, concepts and their generalisation related to rational numbers, patterns in multiplication tables, proportionality and combinatorial concepts, including permutations and combinations. The results of this study are not generalisable due to objective limitations and the contextualisation of the research within a specific learning environment. However, the findings confirm the theoretical perspectives proposed by Vygotsky, Freudenthal and Kriegler’s theoretical framework, and support the view that the development of prospective teachers’ writing ability is not an isolated learning process. Rather, it likely occurs through interaction with the acquisition and development of algebraic content knowledge. Future research should include more empirical and analytical studies on the development of PSTs’ discursive algebraic knowledge, particularly the processes underlying the formation and growth of proficiency in mathematical writing.

  

Place, publisher, year, edition, pages
Lisboa: inScience Press, 2026. Vol. 1, p. 96-100
Keywords [en]
Discursive algebraic skills, algebraic concepts and generalisation, mathematical writing efficiency, pre-service teachers learning of algebra, algebraic thinking.
National Category
Mathematical sciences Didactics Educational Sciences
Research subject
Studies in the Educational Sciences
Identifiers
URN: urn:nbn:se:sh:diva-60533ISBN: 978-989-36839-4-1 (print)OAI: oai:DiVA.org:sh-60533DiVA, id: diva2:2082435
Conference
Education and New Developments, Madeira Island, Portugal, June 20-22, 2026.
Available from: 2026-06-30 Created: 2026-06-30 Last updated: 2026-07-01Bibliographically approved

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf