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An Introduction to Number Theory With Talented Youth

This paper details some of the work done in the first 3 of 6 days of teaching with a group of 16 young students in July 1993. Here—and elsewhere in a much more detailed 55‐page document (Cosgrave, 1993)—the work is presented in the form of verbal exchanges. The principal aim of the early exchanges w...

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Bibliographic Details
Published in:School science and mathematics 1999-10, Vol.99 (6), p.348-353
Main Author: Cosgrave, John B.
Format: Article
Language:English
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Summary:This paper details some of the work done in the first 3 of 6 days of teaching with a group of 16 young students in July 1993. Here—and elsewhere in a much more detailed 55‐page document (Cosgrave, 1993)—the work is presented in the form of verbal exchanges. The principal aim of the early exchanges was to present students with some challenging questions—but framed in simple, nontechnical language—outside their normal classroom experience. The early subject matter related to perfect, abundant, and deficient numbers (gently introducing the notion of a formal proof), and then quickly proceeded to material that forms the background for a discussion of irrational numbers.
ISSN:0036-6803
1949-8594
DOI:10.1111/j.1949-8594.1999.tb17494.x