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Students' systematic repetition as a framework for learning algebra: A case study from teachers' professional development
Södertörn University, Teacher Education, Mathematics Education.ORCID iD: 0000-0003-0417-2574
University of Gothenburg, Sweden.
2025 (English)In: Education and New Developments 2025, Volume 1 / [ed] Mafalda Carmo, 2025, Vol. 1, p. 3-7Conference paper, Published paper (Refereed)
Abstract [en]

The purpose of this study is to examine how students’ repetition of arithmetic concepts is organized during the first year of upper secondary school. The theoretical approach is a triangulation of Freudenthal’s didactical phenomenology of mathematical structures, Bernstein’s repetition -without -repetition and Mezirow’s transformative learning theory. The study includes 94 upper secondary school students and their three mathematics teachers. The crucial content for repetition was whole numbers, rational numbers and potencies as prior knowledge for learning algebra-specific content, such as algebraic expressions, equations and problem solving.

The study is part of a research project about teachers’ professional development in a “research circle.”

The key components of the methodology are a qualitative analysis of the research questions and theoretical triangulation, which aim to identify significant empirical findings.

The results of the study show that limited space is given to conceptual repetition to support students’ learning of algebra. Moreover, the current textbook was not a useful source of support for the teachers. 

Place, publisher, year, edition, pages
2025. Vol. 1, p. 3-7
Series
Education and New Developments 2025, ISSN 2184-044X
Keywords [en]
systematic repetition, prior knowledge and algebra, knowledge transfer from primary to upper secondary school
National Category
Didactics Other Mathematics Educational Sciences
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Other research area
Identifiers
URN: urn:nbn:se:sh:diva-57654ISBN: 978-989-35728-7-0 (print)OAI: oai:DiVA.org:sh-57654DiVA, id: diva2:1976455
Conference
International Conference on Educationand New Developments (END 2025),28-30 June 2025, Budapest, Hungary
Projects
ULF – Utbildning, Lärande, Forskning:är Innehåll och sekvensering i algebraundervisningen på gymnasietAvailable from: 2025-06-24 Created: 2025-06-24 Last updated: 2025-10-07Bibliographically approved

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Karlsson, Natalia

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Total: 137 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • harvard-anglia-ruskin-university
  • apa-old-doi-prefix.csl
  • sodertorns-hogskola-harvard.csl
  • sodertorns-hogskola-oxford.csl
  • 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