26.02.2013 Views

Commentary on Theories of Mathematics Education

Commentary on Theories of Mathematics Education

Commentary on Theories of Mathematics Education

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

512 F. Arzarello<br />

different lenses is a richness: through them it is possible to face our metatheorical<br />

issues from different perspectives. A similar situati<strong>on</strong> we find in mathematics: after<br />

Gödel we have not <strong>on</strong>ly a relativism in theories (this goes back to the discovery <strong>of</strong><br />

n<strong>on</strong>-euclidean geometries) but also in metatheories (e.g. different metatheoretical<br />

frames for drawing relative c<strong>on</strong>sistence pro<strong>of</strong>s).<br />

References<br />

Bosch, M. (Ed.) (2006). Proceedings <strong>of</strong> the Fourth C<strong>on</strong>gress <strong>of</strong> the European Society for Research<br />

in <strong>Mathematics</strong> Educati<strong>on</strong>. (pp. 1237–1263). Sant Feliu de Guíxols, Spain, 17–21 Feb 2005,<br />

CD-ROM.<br />

Durand-Guerrier, V. (Ed.) (to appear). Proceedings <strong>of</strong> the Sixth C<strong>on</strong>gress <strong>of</strong> the European Society<br />

for Research in <strong>Mathematics</strong> Educati<strong>on</strong>. Ly<strong>on</strong>, 28 Jan–1 Feb 2009, CD-ROM.<br />

Gravemeijer, K. (1994). Educati<strong>on</strong>al development and developmental research. Journal for Research<br />

in <strong>Mathematics</strong> Educati<strong>on</strong>, 25, 443–471.<br />

Lotman, Y. (1990). Universe <strong>of</strong> the Mind. A Semiotic Theory <strong>of</strong> Culture. L<strong>on</strong>d<strong>on</strong>: I. B. Taurus.<br />

Pitta-Pantazi, D., & Philippou, G. (Eds.) (2007). Proceedings <strong>of</strong> the Fifth C<strong>on</strong>gress <strong>of</strong> the European<br />

Society for Research in <strong>Mathematics</strong> Educati<strong>on</strong> (CERME-5). Larnaca, Cyprus, 22–26 Feb<br />

2007. CD-ROM. ISBN-978-9963-671-25-0.<br />

Prediger, S. (2004). Intercultural perspectives <strong>on</strong> mathematics learning—Developing a theoretical<br />

framework. Internati<strong>on</strong>al Journal <strong>of</strong> Science and <strong>Mathematics</strong> Educati<strong>on</strong>, 2(3), 377–406.<br />

Prediger, S., Arzarello, F., Bosch, M., & Lenfant, A. (Eds.) (2008a). Comparing, combining,<br />

coordinating—Networking strategies for c<strong>on</strong>necting theoretical approaches. Thematic Issue <strong>of</strong><br />

ZDM—The Internati<strong>on</strong>al Journal <strong>on</strong> <strong>Mathematics</strong> Educati<strong>on</strong>, 40(2), 163–327.<br />

Prediger, S., Bikner-Ahsbahs, A., & Arzarello, F. (2008b). Networking strategies and methods for<br />

c<strong>on</strong>necting theoretical approaches—First steps towards a c<strong>on</strong>ceptual framework. ZDM—The<br />

Internati<strong>on</strong>al Journal <strong>on</strong> <strong>Mathematics</strong> Educati<strong>on</strong>, 40(2), 165–178.<br />

Radford, L. (2008). C<strong>on</strong>necting theories in mathematics educati<strong>on</strong>: Challenges and possibilities.<br />

Thematic Issue <strong>of</strong> ZDM—The Internati<strong>on</strong>al Journal <strong>on</strong> <strong>Mathematics</strong> Educati<strong>on</strong>, 40(2), 317–<br />

327.<br />

Sengupta, A. (Ed.) (2006). Studies in Fuzziness and S<strong>of</strong>t Computing: Chaos, N<strong>on</strong>linearity, Complexity:<br />

The Dynamical Paradigm <strong>of</strong> Nature. Berlin: Springer. ISBN:3540317562.<br />

Steinbring, H. (2005). <strong>Mathematics</strong> Educati<strong>on</strong> Library: Vol. 38. The C<strong>on</strong>structi<strong>on</strong> <strong>of</strong> New Mathematical<br />

Knowledge in Classroom Interacti<strong>on</strong>—An Epistemological Perspective. Berlin,New<br />

York: Springer.<br />

Steinbring, H. (2008). Changed views <strong>on</strong> mathematical knowledge in the course <strong>of</strong> didactical theory<br />

development. ZDM—The Internati<strong>on</strong>al Journal <strong>on</strong> <strong>Mathematics</strong> Educati<strong>on</strong>, 40(2), 303–<br />

316.

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!