References
Birkhoff, G. (1933) Aesthetic Measure, Cambridge, MA, Harvard University Press.
Brown, S. (1973) “Mathematics and humanistic themes: sum considerations,” Educational Theory 23(3), 191–214.
Burton, L. (2004) Mathematicians as Enquirers: Learning about Learning Mathematics, Dordrecht, The Netherlands, Springer.
Corry, L. (2004) “The history of modern mathematics: writing and rewriting,” Science in Context 17(1–2), 1–21.
Corry, L. (2006) “Axiomatics, empiricism and Anschauung in Hilbert’s conception of geometry: between arithmetic and general relativity,” in Ferreirós, J., and Gray, J. (eds), The Architecture of Modern Mathematics: Essays in History and Philosophy, Oxford, UK, Oxford University Press, pp. 133–156.
Dewey, J. (1934) Art as Experience, New York, NY, Perigree.
Eberle, S. (2014) “The role of children’s mathematical aesthetics: the case of tessellations,” Journal of Mathematical Behavior 35, 129–143.
McAllister, J. (1996) Beauty and Revolution in Science, Ithaca, NY, Cornell University Press.
Robertson, N., Sanders, D., Seymour, P., and Thomas, R. (1996) “A new proof of the four-colour theorem,” Electronic research announcements of the American Mathematical Society 2(1), 17–25.
Rotman, B. (2008) Becoming Beside Ourselves: the Alphabet, Ghosts, and Distributed Human Being, Durham, NC, Duke University Press.
Sinclair, N. (2001) “The aesthetic is relevant,” For the Learning of Mathematics 21(1), 25–33.
Sinclair, N., and Pimm, D. (2006) “A historical gaze at the mathematical aesthetic,” in Sinclair, N., Pimm, D., and Higginson, W. (eds), Mathematics and the Aesthetic: New Approaches to an Ancient Affinity, New York, NY, Springer, pp. 1–17.
Tahta, D. (2006) “Sensible objects,” in Sinclair, N., Pimm, D., and Higginson, W. (eds), Mathematics and the Aesthetic: New Approaches to an Ancient Affinity, New York, NY, Springer, pp. 190–222.
Wheeler, D. (1979/2001) “Mathematisation as a pedagogical tool,” For the Learning of Mathematics 21(2), 50–53.
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Pimm, D., Sinclair, N. Explaining Beauty in Mathematics: An Aesthetic Theory of Mathematics by Ulianov Montano . Math Intelligencer 39, 79–81 (2017). https://doi.org/10.1007/s00283-016-9636-3
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DOI: https://doi.org/10.1007/s00283-016-9636-3