Historical Reflections on Teaching the Fundamental Theorem of Integral Calculus

2011/02/01 by David M. Bressoud · 3 citations
Mathematics · Social Sciences · #History and Theory of Mathematics #Mathematics Education and Teaching Techniques #Mathematical and Theoretical Analysis

paper · doi:10.4169/amer.math.monthly.118.02.099

openalex publication_date 2011/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/01/22

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.

Citations

• Patterns of mathematical thought in the later seventeenth century

Cited by

• Madhava's Pi-Series in the Modern Context
• Calculus [wikipedia]
• History of calculus [wikipedia]

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