“The Play’s the Thing”: Mathematization as Dramatization

Paideusis: Journal of the Canadian Philosophy of Education Society 17 (1):35-44 (2008)
  Copy   BIBTEX

Abstract

Mobilizing prevalent themes in the fields of mathematics education, literary criticism, and philosophy, this paper contextualizes ‘the mathematical’, ‘mathematical thinking’, and ‘mathematical pedagogy’ with respect to ancient Greek concept of mathesis, modern notions of mathematical agency, the Keatsian concept of negative capability, and the analogy of ‘staging’ a dramatic/mathematical ‘play’. Its central claim is that mathematization is dramatization—that learning mathematics is an activity of setting things up and allowing things to play out. Beginning with Paul Ernest’s identification of the difference between absolutism and fallibilism in the philosophy of math education, and incorporating concepts from Pythagoras, Hippasus, Heraclitus, Descartes, Kant, Keats, as well as Freud, Heidegger, and Badiou, we argue that ‘mathematical knowledge’ cannot be understood simply within the framework of logicism, formalism, or even simply as an epistemological articulation. Rather, we endeavour to show that the process of ‘learning mathematically’ allows us to gain insight into the foundations of ‘being’ itself. Learning to learn proceeds, as such, by way of staging and playing-out the half-known or unknown in the hopes of uncovering the mystery at the heart of things.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,283

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

“the Play’s The Thing”: Mathematization As Dramatization.Dan Mellamphy & Nandita Mellamphy - 2008 - Paideusis: Journal of the Canadian Philosophy of Education Society 17:35-44.
Play's the Thing: Wherein We Find How Learning Can Begin.Michael Luntley - 2018 - Journal of Philosophy of Education 52 (1):36-53.
Towards a Fictionalist Philosophy of Mathematics.Robert Knowles - 2015 - Dissertation, University of Manchester
Socializing Aspects of Proof Procedure.Jaroslaw Mrozek - 2018 - Proceedings of the XXIII World Congress of Philosophy 56:25-31.
Mathematical Empiricism and the Mathematization of Chance: Comment on Gillies and Schneider.Michael Liston - 2000 - In Emily Grosholz & Herbert Breger (eds.), The growth of mathematical knowledge. Boston: Kluwer Academic Publishers. pp. 77--80.
Dramatization as method in political theory.Iain Mackenzie & Robert Porter - 2011 - Contemporary Political Theory 10 (4):482-501.
Objects and Processes in Mathematical Practice.Uwe V. Riss - 2011 - Foundations of Science 16 (4):337-351.

Analytics

Added to PP
2020-10-26

Downloads
9 (#1,259,126)

6 months
3 (#984,114)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

Philosophy, Sciences, Mathematics: Interview with Alain Badiou.Alain Badiou - 2006 - Collapse: Philosophical Research and Development 1:11-26.
References.[author unknown] - 1995 - Critical Review: A Journal of Politics and Society 9 (1):277-300.

Add more references