Mathematics laboratories for teaching, a productive metaphor
Keywords:
mathematics laboratories for teaching, teachers collective work, tools for doing, teaching and learning mathematicsAbstract
The metaphor of "laboratories" to do and learn mathematics appeared in history, when emerges the necessity of renewing and developing mathematics teaching. The conference will show the evolution of this metaphor, since the creation of ICME (1908). The mathematical laboratories are always presented in relation to the instrumentsthey contain, so the evolution of the metaphor accompanies the evolution of these instruments. We show in this paper how the evolution of technological environments makes it possible to conceive, in the space of the ‘ordinary' mathematics class, moments of life of a laboratory of mathematics, and then to prolong, at a distance, these laboratories. It is also shown that the development of mathematics laboratories for students implies the development of mathematical laboratories for teachers. This viewpoint will be supported by the French experience of a teacher association developing online resources, Sésamath. We deduce the need for new theoretical approaches articulating resource design, evolution of practices, and professional development, combining individual and collective aspects of teachers work.References
ANICHINI, G.; ARZARELLO, F.; CIARRAPICO, L.;ROBUTTI, O. Matematica 2001. La matematica per il cittadino. Attività didattiche e prove diverifica per un nuovo curricolo di Matematica. LUCCA: Matteoni Stampatore, 2003.
ARCAVI, A.;HADAS, N. Computer mediated learning, an example of an approach, International Journal of Computers for Mathematical Learning, 5, 25-45, 2000.
BARBEAU, E.;TAYLOR, P. J. Challenging mathematics in and beyond the classroom: the 16th ICMI study. New York: Springer, 2008.
BOREL, E. Les exercices pratiques de mathématiques dans l’enseignement secondaire, 1904, http://smf.emath.fr/Publications/Gazette/2002/93/smf_gazette_93_47-64.pdf
FORT, M. Rapport sur l’expérimentation d’une épreuve pratique de mathématiques au bacS, MEN, 2007, http://educmath.inrp.fr/Educmath/en-debat/epreuvepratique/rapportep
GUEUDET, G.;TROUCHE, L. Towards new documentation systems for mathematics teachers? Educational Studies in Mathematics, 71(3), 199-218, 2009, http://springerlink.metapress.com/content/6600hx1254664n74/
HOYLES, C.; KALAS, I.; TROUCHE, L.; HIVON, L.; NOSS, R.; WILENSKI, U.Connectivityand Virtual Networks for Learning, In C. HOYLES;J.-B. LAGRANGE (eds.), Mathematical Education and Digital Technologies:Rethinking the terrain 439-462, New York: Springer, 2009.
ICMI, Les tendances modernes de l’enseignement des mathématiques, L’enseignement mathématiques, 10, 454-456, 1908, http://www.unige.ch/math/EnsMath
KAHANE, J.-P. (dir.) Informatique et enseignement des mathématiques, 2001 http://smf.emath.fr/Enseignement/CommissionKahane/RapportInfoMath/RapportInfoM ath.pdf
MASCHIETO, M.;TROUCHE, L. Mathematics learning and tools from theoretical, historical and practical points of view: the productive notion of mathematics laboratories. ZDM –The International Journal on Mathematics Education, 42(1), 33-47, (2010), http://www.springerlink.com/content/48045470220u4073/
Ministère de l’Education Nationale (MEN), L’épreuve pratique du baccalauréat de la série scientifique, 2007, http://eduscol.education.fr/D1115/epr_pratique_presentation.htm
TRGALOVA, J.; JAHN, A.P;SOURY-LAVERGNE, S. Quality process for dynamic geometry resources: the Intergeoproject, in V. Durand-Guerrier; S. Soury-Lavergne;F. Arzarello, Proceedings of CERME 6, 1161-1170, INRP, 2009, http://www.inrp.fr/editions/editions-electroniques/cerme6/working-group-7
TROUCHE, L.;DRIJVERS, P., Handheld technology for mathematics education: flashback into the future.ZDM, The International Journal on Mathematics Education, 42(7), 667-681, 2010, http://www.springerlink.com/content/68n07260752h5260/
Downloads
Published
How to Cite
Issue
Section
License
Autores que publicam nesta revista concordam com os seguintes termos:
a. Autores mantêm os direitos autorais e concedem à revista o direito de primeira publicação, com o trabalho simultaneamente licenciado sob a Licença Creative Commons Atribuição 4.0 Internacional (CC BY 4.0).
b. Autores têm autorização para assumir contratos adicionais separadamente, para distribuição não-exclusiva da versão do trabalho publicada nesta revista (ex.: publicar em repositório institucional ou como capítulo de livro), com reconhecimento de autoria e publicação inicial nesta revista.
c. Autores têm permissão e são estimulados a publicar e distribuir seu trabalho online (ex.: em repositórios institucionais ou na sua página pessoal) a qualquer ponto antes ou durante o processo editorial, já que isso pode gerar alterações produtivas, bem como aumentar o impacto e a citação do trabalho publicado.
d. Os conteúdos da Revista Em Teia estão licenciados com uma Licença Creative Commons Atribuição 4.0 Internacional (CC BY 4.0). Esta licença permite que os reutilizadores distribuam, remixem, adaptem e desenvolvam o material em qualquer meio ou formato, desde que a atribuição seja dada ao criador. A licença permite o uso comercial.
Authors who publish with this journal agree to the following terms:
a. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution 4.0 International (CC BY 4.0) License.
b. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
c. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.
d. This license allows reusers to copy and distribute the material in any medium or format in unadapted form only, for noncommercial purposes only, and only so long as attribution is given to the creator.

