Historical Reflections on Teaching the Fundamental Theorem of Integral Calculus

Author: Bressoud David M.  

Publisher: Mathematical Association of America

ISSN: 1930-0972

Source: American Mathematical Monthly, Vol.118, Iss.2, 2011-02, pp. : 99-115

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Abstract

This article explores the history of the Fundamental Theorem of Integral Calculus, from its origins in the 17th century through its formalization in the 19th century to its presentation in 20th century textbooks, and draws conclusions about what this historical development tells us about how to teach this fundamental insight of calculus.