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Views on concept in the framework of Three worlds of mathematics: A concept analysis
Dalarna University, School of Education, Health and Social Studies, Mathematics Education.
2018 (English)In: Perspectives on professional development of mathematics teachers: Proceedings of MADIF 11 / [ed] J. Häggström, Y. Liljekvist, J. Bergman Ärlebäck, M. Fahlgren & O. Olande, Göteborg, Sweden, 2018, p. 121-130Conference paper, Published paper (Refereed)
Abstract [en]

There are examples of conceptual incoherencies within the field of mathematics education. In this paper, a concept analysis of the notion concept in Tall’s framework of Three worlds of mathematics is conducted. In the first phase of the study, an analysing tool is constructed from a literature review in philosophy and cognitive science. This tool makes two distinctions. One distinction is between views considering concepts as abstract and views considering concepts as mental. The other distinction is between views considering concepts as intersubjective and views considering concepts as subjective. Preliminary results show that different views on concept are mixed in the framework of Three worlds of mathematics.

Place, publisher, year, edition, pages
Göteborg, Sweden, 2018. p. 121-130
Series
Skrifter från Svensk Förening för MatematikDidaktisk Forskning, ISSN 1651-3274 ; 13
Keywords [en]
concept, concepts, concept analysis, mathematics, mathematics education, Three worlds of mathematics, begrepp, begreppsanalys, matematik, matematikdidaktik
National Category
Educational Sciences
Research subject
Education and Learning
Identifiers
URN: urn:nbn:se:du-30116ISBN: 978-91-984024-2-1 (print)OAI: oai:DiVA.org:du-30116DiVA, id: diva2:1319183
Conference
MADIF 11: Research seminar of the Swedish Society for Research in Mathematics Education, Karlstad, 23–24 January 2018.
Available from: 2019-05-29 Created: 2019-05-29 Last updated: 2019-06-18Bibliographically approved

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http://matematikdidaktik.org/wp-content/uploads/2019/01/Madif11_webb-002.pdf

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Wedman, Lotta

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • chicago-author-date
  • chicago-note-bibliography
  • 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