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Using Symbolic Calculators to Study Mathematics.: The case of tasks and techniques

Abstract : Key words: This chapter will consider in more depth the possible contribution of technology-especially CAS-to the study of mathematical domains. Using a theoretical approach to treat examples of classroom activities, we will show how a didactical reflection can help to understand this contribution. A variety of new techniques will be presented and related to paper-and-pencil techniques. Examining the pragmatic and epistemic value of both types of technique will help to make sense of classroom situations. It will also help to clarify the situation of teachers wanting to integrate new tools. Consideration of other approaches will show that educators emphasize the use of computer algebra to promote 'conceptual' mathematics. Nevertheless, they cannot ignore instrumented techniques when considering the real potentialities of new tools and the conditions for their integration.
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Submitted on : Thursday, November 28, 2019 - 11:43:09 AM
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Jean-Baptiste Lagrange. Using Symbolic Calculators to Study Mathematics.: The case of tasks and techniques. The Didactical Challenge of Symbolic Calculators Turning a Computational Device into a Mathematical Instrument, 36, Springer-Verlag, 2005, Mathematics Education Library, ⟨10.1007/b101602⟩. ⟨hal-02379891⟩



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