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Varied ways to teach the definite integral concept
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences. (Learning Studies - Praxisnära forskning i matematik)
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences. (Learning Studies - Praxisnära forskning i matematik)
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences. (Learning Studies - Praxisnära forskning i matematik)
University of Eastern Finland, Finland.
2013 (English)In: International Electronic Journal of Mathematics Education, ISSN 1306-3030, Vol. 8, no 2-3, 81-99 p.Article in journal (Refereed) Published
Abstract [en]

In this paper, we report on a collaborative teaching experiment based on the Learning Study model (LS model) which grounds on the Variation Theory. Until today, most of such studies have focused on the teaching and learning of elementary school mathematics; ours was carried out in undergraduate mathematics education. In the following, we discuss how we managed to promote students’ conceptual learning by varying the treatment of the object of learning (the concept of definite integral and the Fundamental Theorem of Calculus) during three lectures on an introductory course in calculus. We also discuss the challenges and possibilities of the LS model and the Variation Theory in the development of the teaching of tertiary mathematics in general. The experiment was carried out at aSwedish university. The data of the study consists of the documents of the observation of three lectures and the students’ answers to the pre- and post-tests of each lesson. The analysis of learning results revealed some critical aspects of the definite integral concept and patterns of variations that seem to be effective to a significant degree. For example, we found several possibilities to use GeoGebra to enrich students’ learning opportunities.

Place, publisher, year, edition, pages
Turkey: Gökkuşağı Ltd. Şti., Turkey , 2013. Vol. 8, no 2-3, 81-99 p.
Keyword [en]
definite integral, GeoGebra, learning study, tertiary education, variation
National Category
Other Mathematics
Identifiers
URN: urn:nbn:se:hig:diva-15942Scopus ID: 2-s2.0-84891647831OAI: oai:DiVA.org:hig-15942DiVA: diva2:684083
Available from: 2014-01-07 Created: 2014-01-07 Last updated: 2015-06-07Bibliographically approved

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Attorps, IirisBjörk, KjellRadic, Mirko
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CiteExportLink to record
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Cite
Citation style
  • apa
  • harvard-cite-them-right
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • sv-SE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • de-DE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf