By Dominique Guin, Kenneth Ruthven, Luc Trouche
Whereas computational applied sciences are remodeling the pro perform of arithmetic, as but they've got had little impression on institution arithmetic. This pioneering textual content develops a theorized research of why this can be and what might be performed to deal with it. It examines the actual case of symbolic calculators (equipped with machine algebra structures) in secondary schooling. Drawing on a considerable software of French innovation and examine, in addition to heavily similar reviews from Australia and the Netherlands, it presents wealthy illustrations of the various features of know-how integration, and of the ways that those are formed at various degrees of the tutorial establishment. This pioneering textual content develops a theorized research of why this is often and what should be performed to deal with it. It examines the actual case of symbolic calculators (equipped with desktop algebra platforms) in secondary schooling.
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Extra resources for The Didactical Challenge of Symbolic Calculators: Turning a Computational Device into a Mathematical Instrument (Mathematics Education Library, Volume 36)
Benzérara M. & Guillemot A. B. Lagrange & D. )‚ Calcul formel et apprentissage des mathématiques‚ Actes des journées d’étude Environnements informatiques de calcul symbolique et apprentissage des mathématiques (pp. 171-175). Paris: INRP. ‚ Noguès M. & Trouche L. (1996) L’intégration des outils de calcul dans la formation initiale des maîtres‚ Rapport de recherche IUFM-MAFPEN. Montpellier: IREM‚ Université Montpellier II. Birebent A. (2001) Articulation entre la calculatrice et l’approximation décimale dans les calculs numériques de l’enseignement secondaire français, Doctoral Thesis.
No reference to representative curve except for exponential and logarithm functions. Use of numerical tables, slide rule and computing Numerical calculations are included in the chapter. The expression graphic machines. Real numbers, numerical connection with general study of functions. computation, complex numbers. representation appears in Calculators will be widely used. No chapter specific to numerical computation: it is integrated into other chapters. Usual use of graphic representation will be promoted, because it plays a significant role in the behavior of functions.
On a TI-82‚ the command nDeriv directly gives an approximate value of f ' (a): one types the function‚ the variable and the value of a. One may also indicate‚ or not‚ a particular value for h. b) Graphically One considers the (cartesian) graph of f in the neighborhood of 2 (one may try successive zooms). The slope may be estimated or calculated by referring back and adjusting the window. See below an estimate of the slope of the tangent equal to Calculators in Mathematics Education 29 c) Formally Only a symbolic calculator (see below‚ a TI-92) gives the exact value of f ' (2).