Readings

Below is a list of readings, from a variety of different fields, pertaining to mathematical beauty.  We’ve put a star by the ones we have found particularly useful.

  1. (*) Aigner, M., Ziegler, G., & Hofmann, K. (2010). Proofs from THE BOOK,
    Dordrecht: Springer-Verlag.
  2. Chandrashekar, S. (1987) Truth and Beauty. Aesthetics and Motivations in
    Science. Chicago: University of Chicago Press.
  3. Goldie, P. (2011).  The Ethics of Aesthetic Bootstrapping. In The Aesthetic Mind, Schellekens & Goldie, eds. Oxford.
  4. Hardy, G.H. (1940). A Mathematician’s Apology. Cambridge: University Press.
  5. Jakobson, B. and Wickman, P.-O. (2008). The Roles of Aesthetic Experience in Elementary School Science. Research in Science Education, 38, 45-65.
  6. (*)  Rota, G.C. (1997) Phenomenology of Mathematical Beauty. Synthese 111 (2):171-182.
  7. McAllister, J.W.  (2005) Mathematical Beauty and the Evolution of the Standards of Mathematical Proof. M. Emmer, ed., The Visual Mind II, 15 – 34.
  8. Rob van Gerwin (2011). Mathematical Beauty and Perceptual Presence. Philosophical Investigations 34 (3):249-267.
  9. (*) Dreyfus, T., & Eisenberg, T. (1986). On the aesthetics of mathematical thought. For the Learning of Mathematics, 6(1), 2–10. (link)
  10. (*) Netz, R. (2005).  The Aesthetics of Mathematics: A Study. In Visualization, Explanation, and Reasoning Styles in Mathematics, Mancosu, P, Jorgensen, K, and Pedersen S. (Eds),  Springer. (link)
  11. Reber, R, Schwarz,N.  and Winkleman, P. (2004).  Processing Fluency and Aesthetic Pleasure:  Is Beauty in the Perceiver’s Processing Experience?  Personality and Social Psychology Review 8:364.
  12. Sartwell, Crispin, “Beauty”, The Stanford Encyclopedia of Philosophy (Fall 2012 Edition), Edward N. Zalta (ed.), URL = <http://plato.stanford.edu/archives/fall2012/entries/beauty/>.
  13. Scarry, E. (1998). On Beauty and Being Just. Princeton University Press.
  14. Sinclair, N. (2002) The Kissing Triangles: The Aesthetics of Mathematical Discovery.  International Journal for Mathematical Learning. 7: 45-63. (link)
  15. Sinclair, N. (2004). The Roles of the Aesthetic in Mathematical Inquiry. Mathematical Thinking and Learning, 6(3), 261-284.
  16. (*) Tatarkiewicz, W. (1972).  The Great Theory of Beauty and Its Decline.  The journal of Aesthetics and Art Criticism, 31 (2), 165-180.
  17. (*) Tappenden, J. (2012).  Fruitfulness as a Theme in the Philosophy of Mathematics.  The Journal of Philosophy, 204-219.
  18. Todd, C. S. Unmasking the truth beneath the beauty: why the supposed aesthetic judgements made in science may not be aesthetic at all. International Studies in the Philosophy of Science. 22, 1, p. 61-79. (link)
  19. Tymoczko, T. (1993). Value judgements in mathematics: Can we treat mathematics
    as an art? In A.M. White (Ed.), Essays in humanistic mathematics.
    Washington, DC: MAA, 67-77.

What role could beauty play in school mathematics? (Can students really do this?!?)

  • Griffiths, M. (2011).  Where has all the beauty gone? Proceedings of the British Society for Research into Learning Mathematics, 32(2).(here)
  • Sinclair, N. 2006. Mathematics and Beauty: Aesthetic Approaches to Teaching Children. New York: Teachers College Press.

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