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Managing the Complexity of Human/Machine Interactions in Computerized Learning Environments: Guiding Students’ Command Process through Instrumental Orchestrations
  • L. Trouche
  • Computer Science
  • Int. J. Comput. Math. Learn.
  • 1 September 2004
After an introduction which addresses some basic questions, this article is organized around three points: (1) The theoretical framework of the so-called “Instrumental approach” which has been a theme in the last two CAME symposia; (2) A consideration of two processes (instrumentalization and instrumentation) which interact in the instrumental genesis; and (3) The introduction of the idea of instrumental orchestration. Expand
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The Complex Process of Converting Tools into Mathematical Instruments: The Case of Calculators
Transforming any tool into a mathematical instrument for students involves a complex ‘instrumentation process and does not necessarily lead to better mathematical understanding. Expand
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Towards new documentation systems for mathematics teachers?
We study in this article mathematics teachers’ documentation work: looking for resources, selecting/designing mathematical tasks, planning their succession, managing available artifacts, etc. WeExpand
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An Instrumental Approach to Mathematics Learning in Symbolic Calculator Environments
A rapid technological evolution (Chapter 1), linked to profound changes within the professional field of mathematics (Chapter 3), brings into question the place of techniques in mathematics teaching (Chapter 5). Expand
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The didactical challenge of symbolic calculators : turning a computational device into a mathematical instrument
Acknowledgments.- Introduction, Dominique Guin, Kenneth Ruthven and Luc Trouche.- Calculators in mathematics education: a rapid evolution of tools, with differential effects, Luc Trouchet.- A CAS as an assistant to reasoned instrumentation, Philippe Elbaz-Vincent.- Transposing computer tools from the mathematical sciences into teaching, Jean-Baptiste Lagrange. Expand
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From artifacts to instruments: a theoretical framework behind the orchestra metaphor
The large-scale distribution of PCs and handheld devices made software for use in mathematics education available to both students and teachers. Currently, programming languages, graphing software,Expand
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Instrumental Genesis, Individual and Social Aspects
In Chapter 6, we analyzed didactic phenomena occurring during experiments in integrating symbolic calculators. Expand
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Managing the Complexity of Human/Machine Interaction in a Computer Based Learning Environment
The title of this strand of the Symposium was ‘‘Mind and Machine’’. Expand
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Technology and Mathematics Education: A Multidimensional Study of the Evolution of Research and Innovation
This chapter will highlight the interest and necessity of considering a plurality of perspectives (or dimensions) when addressing the issue of the integration of information and communication technologies (JCT) into the teaching and learning of mathematics. Expand
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Mastering by the teacher of the instrumental genesis in CAS environments: necessity of intrumental orchestrations
In this article, we study didactic phenomena identified in integration experiments within our classes, CAS (implemented in calculators). From this study, we show the interest of an instrumentalExpand
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