Two beautiful proofs of Pick's theorem

• 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.

Ämnesord

SAMHÄLLSVETENSKAP  -- Utbildningsvetenskap -- Didaktik (hsv//swe)

SOCIAL SCIENCES  -- Educational Sciences -- Didactics (hsv//eng)

Nyckelord

Beauty

aesthetics

proof

Pick's theorem

motivation

Subject didactics

Ämnesdidaktik

didactics of mathematics

matematikdidaktik

Publikations- och innehållstyp

ref (ämneskategori)

kon (ämneskategori)