Online Resources in Mathematics, Teachers’ Geneses and Didactical Techniques

The study we present here concerns the consequences of integrating online resources into the teaching of mathematics. We focus on the interaction between teachers and specific online resources they draw on: e-exercise bases. We propose a theoretical approach to study the associated phenomena, combining instrumental and anthropological perspectives. For given didactical tasks, we observe teachers’ instrumental geneses, and the didactical techniques they develop. We exemplify our approach with the analysis of a case study of trigonometry in grade 9.

[1]  Maria-Luisa Schubauer-Leoni,et al.  An Attempt to Model the Teacher’S Action in the Mathematics Class , 2005 .

[2]  G. Vergnaud,et al.  Towards a Cognitive Theory of Practice , 1998 .

[3]  Mariam Haspekian,et al.  An “Instrumental Approach” to Study the Integration of a Computer Tool Into Mathematics Teaching: the Case of Spreadsheets , 2005, Int. J. Comput. Math. Learn..

[4]  Luc Trouche,et al.  Managing the Complexity of Human/Machine Interactions in Computerized Learning Environments: Guiding Students’ Command Process through Instrumental Orchestrations , 2004, Int. J. Comput. Math. Learn..

[5]  Fabrice Vandebrouck,et al.  Using E-Exercise Bases in Mathematics: Case Studies at University , 2007, Int. J. Comput. Math. Learn..

[6]  Guy Brousseau,et al.  Theory of Didactical Situations in Mathematics: Didactique des Mathématiques, 1970-1990 , 2014 .

[7]  Sara Hennessy,et al.  Incorporating Internet resources into classroom practice: pedagogical perspectives and strategies of secondary-school subject teachers , 2005, Comput. Educ..

[8]  Ghislaine Gueudet,et al.  ONLINE RESOURCES IN MATHEMATICS: TEACHERS' GENESIS OF USE , 2007 .

[9]  J. Remillard Examining Key Concepts in Research on Teachers’ Use of Mathematics Curricula , 2005 .

[10]  G. Gueudet,et al.  Towards new documentation systems for mathematics teachers? , 2009 .

[11]  Paul Drijvers,et al.  Integrating Technology into Mathematics Education: Theoretical Perspectives , 2009 .

[12]  Ghislaine Gueudet,et al.  Learning Mathematics with E-Exercises: A Case Study about Proportional Reasoning. , 2007 .

[13]  Jean-Baptiste Lagrange,et al.  L'intégration d'instruments informatiques dans l'enseignement: Une approche par les techniques , 2000 .

[14]  Luc Trouche,et al.  The didactical challenge of symbolic calculators : turning a computational device into a mathematical instrument , 2005 .

[15]  Troels Lange Proceedings of the Fifth Congress of the European Society for Research in Mathematics Education , 2007 .

[16]  J. Kilpatrick,et al.  Mathematics Education as a Research Domain: A Search for Identity , 1998 .

[17]  P. Rabardel Les hommes et les technologies; approche cognitive des instruments contemporains , 1995 .

[18]  Yves Chevallard,et al.  Concepts fondamentaux de la didactique : perspectives apportées par une approche anthropologique , 1991 .

[19]  Thomas J. Cooney Conceptualizing Teachers' Ways of Knowing , 1999 .

[20]  Teresa Assude Teacher’s practices and degree of ICT integration , 2007 .

[21]  Michèle Artigue,et al.  Learning Mathematics in a CAS Environment: The Genesis of a Reflection about Instrumentation and the Dialectics between Technical and Conceptual Work , 2002, Int. J. Comput. Math. Learn..