Pre-University Analysis

Richard O’Donovan ()
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Richard O’Donovan: Collège André-Chavanne

Chapter 25 in The Strength of Nonstandard Analysis, 2007, pp 395-401 from Springer

Abstract: 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.

Keywords: Stratify Analysis; Standard Part; Nonstandard Analysis; Conceptual Difficulty; Closure Principle (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-211-49905-4_25

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DOI: 10.1007/978-3-211-49905-4_25

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