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.
The author has been teaching analysis with infinitesimals at pre-university level for several years. This paper has been possible thanks to many exchanges with Karel Hrbacek and also many helpful remarks by Keith Stroyan.
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O’Donovan, R. (2007). Pre-University Analysis. In: van den Berg, I., Neves, V. (eds) The Strength of Nonstandard Analysis. Springer, Vienna. https://doi.org/10.1007/978-3-211-49905-4_25
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DOI: https://doi.org/10.1007/978-3-211-49905-4_25
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