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Pre-University Analysis

In: The Strength of Nonstandard Analysis

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  • Richard O’Donovan

    (Collège André-Chavanne)

Abstract

This paper is a follow-up of K. Hrbacek’s article showing how his approach can be pedagogically helpful when introducing analysis at pre-university level. Conceptual difficulties arise in elementary pedagogical approaches. In most cases it remains difficult to explain at pre-university level how the derivative is calculated at nonstandard values or how an internal function is defined. Hrbacek provides a modified version of IST [8] (rather Péraire’s RIST) which seems to reduce all these difficulties. This system is briefly presented here in its pedagogical form with an application to the derivative. It must be understood as a state-of-the-art report.

Suggested Citation

  • Richard O’Donovan, 2007. "Pre-University Analysis," Springer Books, in: Imme van den Berg & Vítor Neves (ed.), The Strength of Nonstandard Analysis, chapter 25, pages 395-401, Springer.
    • Handle: RePEc:spr:sprchp:978-3-211-49905-4_25
    DOI: 10.1007/978-3-211-49905-4_25
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