Learning and Teaching Calculus Through Its History

Fuente: arXiv
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Bibliographic Details
Main Author: Gamage, Chamila
Format: Preprint
Published: 2026
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author Gamage, Chamila
author_facet Gamage, Chamila
contents This paper frames calculus as a global, centuries-long development rather than a subject that began only with Newton and Leibniz. Drawing on ideas from Greek, Indian, Islamic, and later European mathematics, it highlights how concepts like infinity, area, motion, and continuous change slowly evolved through solving problems and cultural exchange. I argue that bringing this history into the classroom helps students see calculus as more than a set of procedures: it becomes a story of human creativity and persistence. By revisiting the questions early mathematicians struggled with, students can better appreciate and better understand the core ideas behind the formulas they use today.
format Preprint
id arxiv_https___arxiv_org_abs_2601_23122
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Learning and Teaching Calculus Through Its History
Gamage, Chamila
History and Overview
This paper frames calculus as a global, centuries-long development rather than a subject that began only with Newton and Leibniz. Drawing on ideas from Greek, Indian, Islamic, and later European mathematics, it highlights how concepts like infinity, area, motion, and continuous change slowly evolved through solving problems and cultural exchange. I argue that bringing this history into the classroom helps students see calculus as more than a set of procedures: it becomes a story of human creativity and persistence. By revisiting the questions early mathematicians struggled with, students can better appreciate and better understand the core ideas behind the formulas they use today.
title Learning and Teaching Calculus Through Its History
topic History and Overview
url https://arxiv.org/abs/2601.23122