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Two beautiful proofs of Pick's theorem
Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC). Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education.
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2011 (English)In: Proceedings of Seventh Congress of European Research in Mathematics Education, 2011Conference paper, Published paper (Refereed)
Abstract [en]

We present two different proofs of Pick’s theorem and analyse in what ways might be perceived as beautiful by working mathematicians. In particular, we discuss two concepts, generality and specificity, that appear to contribute to beauty in different ways. We also discuss possible implications on insight into the nature of beauty in mathematics, and how the teaching of mathematics could be impacted, especially in countries in which discussions of beauty and aesthetics are notably absent from curricular documents.

Place, publisher, year, edition, pages
2011.
Keyword [en]
Beauty, aesthetics, proof, Pick's theorem, motivation
National Category
Didactics
Research subject
didactics of mathematics
Identifiers
URN: urn:nbn:se:umu:diva-38363OAI: oai:DiVA.org:umu-38363DiVA: diva2:376056
Conference
Seventh Congress of European Research in Mathematics Education
Available from: 2010-12-15 Created: 2010-12-09 Last updated: 2011-01-04Bibliographically approved

Open Access in DiVA

fulltext(234 kB)347 downloads
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File name FULLTEXT02.pdfFile size 234 kBChecksum SHA-512
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Type fulltextMimetype application/pdf

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Raman Sundström, ManyaÖhman, Lars-Daniel
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Umeå Mathematics Education Research Centre (UMERC)Department of Science and Mathematics EducationDepartment of Mathematics and Mathematical Statistics
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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • 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