Download The didactical challenge of symbolic calculators : turning a by Dominique Guin, Kenneth Ruthven, Luc Trouche PDF

By Dominique Guin, Kenneth Ruthven, Luc Trouche

An important motive force of contemporary development within the use of arithmetic within the professions has been the help introduced through new applied sciences. not just has this facilitated the appliance of validated tools of mathematical and statistical research however it has motivated the advance of cutting edge techniques. those adjustments have produced a marked evolution within the specialist perform of arithmetic, an evolution which has now not but provoked a corresponding variation in mathematical schooling, relatively in class point. specifically, even though calculators -- first mathematics and medical, then image, now symbolic -- were stumbled on compatible in lots of respects to the operating stipulations of students and academics, and feature even completed a level of legitimate acceptance, the mixing of recent applied sciences into the mathematical perform of faculties continues to be marginal. it really is this example which has stimulated the examine and improvement paintings to be suggested during this quantity. the looks of ever extra strong and transportable computational instruments has definitely given upward push to carrying on with learn and improvement task in any respect degrees of mathematical schooling. among pioneers, such innovation has usually been visible as a chance to resume the educating and studying of arithmetic. both, despite the fact that, the institutionalization of computational instruments inside academic perform has proceeded at a strikingly gradual velocity over a long time.

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49-60). Montpellier: IREM‚ Université Montpellier II. L. (1999) Can technology help us make the mathematics curriculum intellectually stimulating and socially responsible? International Journal of Computers for Mathematical Learning 4‚ 99-119. G. A. )‚ Handbook of research on mathematics teaching and learning (pp. 127146). New York: Macmillan. Trouche L. (1997) A propos de l’enseignement des limites de fonctions dans un environnement calculatrice‚ étude des rapports entre processus de conceptualisation et processus d’instrumentation, Doctoral Thesis.

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). 1 About institutional assessment Institutional assessment is interesting from two points of view: it indicates what an institution considers it necessary for students to know‚ allowing the ‘hard core’ of the curriculum and related official prescriptions to be determined; it allows eventual uncertainties (corresponding‚ for example‚ to what an institution requires to be taught‚ but not to be assessed) to be identified.

Indeed, it is straightforward to show that the limit is equal to 1. Surprisingly enough, DERIVE gives the correct answer. But MAPLE fails due to the asymptotic expansion of the expression (it is the sine which is the culprit here). Transforming the expression does not help, despite the fact that MAPLE can compute easily that: This is in fact a simple problem of operations on the limits. Since the limits of the numerator and denominator exist and are equal to 1, it should be possible to conclude that the limit of the expression is 1.

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