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Generating the patterns of variation with GeoGebra: the case of polynomial approximations
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences.
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences.
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences. (Learning Studies - Praxisnära forskning i matematik)
2016 (English)In: International journal of mathematical education in science and technology, ISSN 0020-739X, E-ISSN 1464-5211, Vol. 47, no 1, 45-57 p.Article in journal (Refereed) Published
Abstract [en]

In this paper, we report a teaching experiment regarding the theory of polynomial approximations at the university mathematics teaching in Sweden. The experiment was designed by applying Variation theory and by using the free dynamic mathematics software GeoGebra. The aim of this study was to investigate if the technology-assisted teaching of Taylor polynomials compared with traditional way of work at the university level can support the teaching and learning of mathematical concepts and ideas. An engineering student group (n = 19) was taught Taylor polynomials with the assistance of GeoGebra while a control group (n = 18) was taught in a traditional way. The data were gathered by video recording of the lectures, by doing a post-test concerning Taylor polynomials in both groups and by giving one question regarding Taylor polynomials at the final exam for the course in Real Analysis in one variable. In the analysis of the lectures, we found Variation theory combined with GeoGebra to be a potentially powerful tool for revealing some critical aspects of Taylor Polynomials. Furthermore, the research results indicated that applying Variation theory, when planning the technology-assisted teaching, supported and enriched students’ learning opportunities in the study group compared with the control group. 

Place, publisher, year, edition, pages
2016. Vol. 47, no 1, 45-57 p.
Keyword [en]
mathematics, Taylor polynomial, teaching, university education, Variation theory
National Category
Mathematics
Identifiers
URN: urn:nbn:se:hig:diva-19944DOI: 10.1080/0020739X.2015.1046961ISI: 000366674100003ScopusID: 2-s2.0-84930156781OAI: oai:DiVA.org:hig-19944DiVA: diva2:836088
Available from: 2015-06-30 Created: 2015-06-30 Last updated: 2016-01-25Bibliographically approved

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Attorps, IirisBjörk, KjellRadic, Mirko
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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