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Improvement of effective communication: the case of subtraction
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.
2012 (English)In: International Journal of Science and Mathematics Education, ISSN 1571-0068, E-ISSN 1573-1774, Vol. 10, no 4, 803-826 p.Article in journal (Refereed) Published
Abstract [en]

The research study this article is based on aims to implement researchknowledge to teaching, that is, the concept of critical aspects and dimensions of variationused in the variation theory. To do this, the researchers worked with willing teachers toexplore how to make mathematics teaching more effective. This paper illustrates howteachers make use of a learning theory, the variation theory, as well as their ownprofessional expertise and collaboration to help students improve their mathematicalunderstanding of subtraction as well as their learning of it. The students’ tests,examinations of students’ mathematical work, the teachers’ lessons plan and reports ofthe instructions for lessons form the data base for the article. The analysis indicates thatone of the critical aspects in the process of implementation of the variation theory in theteachers’ practice was to identify the critical aspects in students’ learning. Another criticalaspect in the implementation of the variation theory was to open up dimensions ofvariation in the identified critical aspects of the students. By giving teachers the possibilityto develop the ability to identify critical aspects in students’ learning, dimensions ofvariation are opened up in these aspects, and by applying this knowledge in the dailyteaching, they have the possibility to improve students’ learning. The findings suggest thatdeveloping an understanding of the students’ critical aspects can be a productive basis inhelping teachers make fundamental changes in their instructions and improve students’learning.

Place, publisher, year, edition, pages
2012. Vol. 10, no 4, 803-826 p.
Keyword [en]
critical aspects, dimensions of variation, learning, potential aspects, subtraction, teaching, variation theory
National Category
Didactics Educational Sciences
Research subject
Mathematics, Mathematical Education; Pedagogics and Educational Sciences
Identifiers
URN: urn:nbn:se:lnu:diva-8828DOI: 10.1007/s10763-011-9294-zOAI: oai:DiVA.org:lnu-8828DiVA: diva2:355376
Available from: 2010-10-06 Created: 2010-10-06 Last updated: 2012-09-04Bibliographically approved

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Olteanu, ConstantaOlteanu, Lucian
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CiteExportLink to record
Permanent link

Direct link
Cite
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