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Designing examples to create variation patterns in teaching
Linnaeus University, Faculty of Technology, Department of Mathematics.
2018 (English)In: International journal of mathematical education in science and technology, ISSN 0020-739X, E-ISSN 1464-5211, Vol. 49, no 8, p. 1219-1234Article in journal (Refereed) Epub ahead of print
Abstract [en]

This paper uses a post-qualitative philosophical perspective to find new ways of understanding teaching and learning. The paper presents a series of examples that were used in a longitudinal study, with the aim of creating variation patterns that would make it possible for students to discern the use of the four basic arithmetic operations in different situations. The focus of this article is the potential of the examples to systematically create variation patterns that students need to perceive in order to make generalizations. The result demonstrates that well-thought-out examples help identify the correct arithmetic operation in different situations, and provide a basis from which students can discern the connection between text and the use of operation in mathematical example. The result also demonstrates that students develop rhizomatic thinking through the creation of new links between aspects of the object of learning, association and linking of different aspects to each other and the creation of a whole with unique and specific characteristics that cannot be explained by simply adding the characteristics of the individual parts.

Place, publisher, year, edition, pages
Taylor & Francis, 2018. Vol. 49, no 8, p. 1219-1234
Keywords [en]
arithmetic; example; schematic picture; variation theory; rhizomatic thinking
National Category
Didactics
Research subject
Mathematics, Mathematical Education
Identifiers
URN: urn:nbn:se:lnu:diva-71809DOI: 10.1080/0020739X.2018.1447151OAI: oai:DiVA.org:lnu-71809DiVA, id: diva2:1193398
Available from: 2018-03-26 Created: 2018-03-26 Last updated: 2018-10-05

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Olteanu, Constanta

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Citation style
  • apa
  • harvard1
  • 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