Two beautiful proofs of Pick's theorem
2011 (English)In: Proceedings of Seventh Congress of European Research in Mathematics Education, 2011Conference paper (Refereed)
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
Beauty, aesthetics, proof, Pick's theorem, motivation
Research subject didactics of mathematics
IdentifiersURN: urn:nbn:se:umu:diva-38363OAI: oai:DiVA.org:umu-38363DiVA: diva2:376056
Seventh Congress of European Research in Mathematics Education