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Calculus Reordered: A History of the Big Ideas. David M. Bressoud

Calculus Reordered: A History of the Big Ideas


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ISBN: 9780691181318 | 242 pages | 7 Mb
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  • Calculus Reordered: A History of the Big Ideas
  • David M. Bressoud
  • Page: 242
  • Format: pdf, ePub, fb2, mobi
  • ISBN: 9780691181318
  • Publisher: Princeton University Press
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How our understanding of calculus has evolved over more than three centuries, how this has shaped the way it is taught in the classroom, and why calculus pedagogy needs to change Calculus Reordered takes readers on a remarkable journey through hundreds of years to tell the story of how calculus evolved into the subject we know today. David Bressoud explains why calculus is credited to seventeenth-century figures Isaac Newton and Gottfried Leibniz, and how its current structure is based on developments that arose in the nineteenth century. Bressoud argues that a pedagogy informed by the historical development of calculus represents a sounder way for students to learn this fascinating area of mathematics. Delving into calculus’s birth in the Hellenistic Eastern Mediterranean—particularly in Syracuse, Sicily and Alexandria, Egypt—as well as India and the Islamic Middle East, Bressoud considers how calculus developed in response to essential questions emerging from engineering and astronomy. He looks at how Newton and Leibniz built their work on a flurry of activity that occurred throughout Europe, and how Italian philosophers such as Galileo Galilei played a particularly important role. In describing calculus’s evolution, Bressoud reveals problems with the standard ordering of its curriculum: limits, differentiation, integration, and series. He contends that the historical order—integration as accumulation, then differentiation as ratios of change, series as sequences of partial sums, and finally limits as they arise from the algebra of inequalities—makes more sense in the classroom environment. Exploring the motivations behind calculus’s discovery, Calculus Reordered highlights how this essential tool of mathematics came to be.

Calculus Before Newton and Leibniz - AP Central - The College Board
This article explores the history of calculus before Newton and Leibniz: the people, known by the Latinized form of his name: Alhazen) was one of the great Arab . The idea is to approximate the area using ever-smaller pieces whose area . We reorder the last sum, putting the fourth powers together and regrouping so  Browse Princeton Catalog in Mathematics - History & Philosophy
Browse Princeton's Subjects (by Title) in Mathematics - History & Philosophy Calculus Reordered: A History of the Big Ideas: Bressoud, D. (Hardcover and  Calculus Reordered: A History of the Big Ideas (Hardcover) - 알라딘
해외 거래처 사정에 의하여 품절/지연될 수도 있습니다. 고객님의 요청에 의해 수입 이 진행되므로 변경 및 취소, 반품이 불가능합니다. 부득이하게 취소, 반품시 무조건   Calculus Volume 1 - Open Textbook Library
Calculus Volume 1. (9 reviews). Gilbert Strang, MIT. Edwin Herman, University of Wisconsin-Stevens Point. Pub Date: 2016. ISBN 13: 9781938168024. Calculus Reordered : A History of the Big Ideas - by David - Pinterest
Mar 21, 2019- Calculus Reordered : A History of the Big Ideas - by David M. Bressoud (Hardcover) Awards 1988-1991 Curriculum Development in Mathematics
Collectively, the projects in the book provide a great resource that should be of interest to . Students gain a better grasp of the concepts of calculus when they are .. a long history of successful use of computers in a calculus laboratory and will make . The calculus topics are being reordered introducing differentiation and  Calculus Reordered: A History of the Big Ideas - Bøger - CDON.COM
How our understanding of calculus has evolved over more than three centuries, how this has shaped the way it is taught in the classroom, and why calculus  Calculus Reordered by David M. Bressoud | Boffins Books
Buy Calculus Reordered: A History of the Big Ideas by David M. Bressoud from Boffins Books in Perth, Australia. Hardcover, published in 2019 by Princeton  New Catalog | Princeton University Press Blog
Bressoud Calculus Reordered book cover Bressoud argues that a pedagogy informed by the historical development of calculus presents a a book about the genesis of the digital idea and why it transformed Guiding students quickly through thirty-one short chapters that discuss one major topic each, 

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