Calculus Reordered: A History of the Big Ideas by David M. Bressoud
- Calculus Reordered: A History of the Big Ideas
- David M. Bressoud
- Page: 242
- Format: pdf, ePub, mobi, fb2
- ISBN: 9780691181318
- Publisher: Princeton University Press
Calculus Reordered: A History of the Big Ideas
Free book text download Calculus Reordered: A History of the Big Ideas by David M. Bressoud
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 : With Calcchat And Calcview (Hardcover) (Ron Larson
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Series (mathematics) - Wikipedia
In mathematics, a series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other, to a given starting quantity. The study of series is a major part of calculus and its generalization, For a long time, the idea that such a potentially infinite summation could produce a finite result
Yurinsha Book News
(International Studies in the History of Mathematics and its Teaching) July 2019 404 pp. *009 Bressoud,D.: Calculus Reordered: A History of the Big Ideas.
David Bressoud - Macalester College
David M. Bressoud. Talks. 2019. Penn State's Math Teaching Seminar, University Park, PA, April 18. Calculus Reordered: A History of the Big Ideas.
Calculus Reordered: A History of the Big Ideas - 商務印書館
Calculus Reordered: A History of the Big Ideas. 作者, David M. Bressoud. 出版社, Princeton University Press. ISBN, 9780691181318. 分類, Natural Science >
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A Brief Case Against Limits – Math with Bad Drawings
Not the mathematical concept, of course; I just question the idea that, before Next time I teach calculus, I intend to join the rebels by diving right into .. B) After that, Viktor Blasjo's site “Intellectual Mathematics” is a trove of great material on the history of calculus and analysis, esp. .. Calculus Reordered
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,
Calculus Reordered, A History of the Big Ideas by David M
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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 | Princeton University Press Blog
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