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

Calculus-Reordered-A-History.pdf
ISBN: 9780691181318 | 242 pages | 7 Mb

• 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.

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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

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The Works of His Hands: A Scientist's Journey from Atheism to Faith by Sy Garte PhD, Alister McGrath

• The Works of His Hands: A Scientist's Journey from Atheism to Faith
• Sy Garte PhD, Alister McGrath
• Page: 256
• Format: pdf, ePub, mobi, fb2
• ISBN: 9780825446078
• Publisher: Kregel Publications

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The Wizard of Foz: Dick Fosbury's One-Man High-Jump Revolution. Bob Welch, Dick Fosbury, Ashton Eaton

The-Wizard-of-Foz-Dick-Fosbury-s.pdf
ISBN: 9781510736191 | 288 pages | 8 Mb

• The Wizard of Foz: Dick Fosbury's One-Man High-Jump Revolution
• Bob Welch, Dick Fosbury, Ashton Eaton
• Page: 288
• Format: pdf, ePub, fb2, mobi
• ISBN: 9781510736191
• Publisher: Skyhorse Publishing

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Land of Hope: An Invitation to the Great American Story. Wilfred M. McClay

Land-of-Hope-An-Invitation-to-the.pdf
ISBN: 9781594039386 | 504 pages | 13 Mb

• Land of Hope: An Invitation to the Great American Story
• Wilfred M. McClay
• Page: 504
• Format: pdf, ePub, fb2, mobi
• ISBN: 9781594039386
• Publisher: Encounter Books

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We have a glut of text and trade books on American history. But what we don’t have is a compact, inexpensive, authoritative, and compulsively readable book that will offer to American readers a clear, informative, and inspiring narrative account of their own country. Such an account can shape and deepen their sense of the land they inhabit and, by making them understand that land’s roots, and share in its memories, will equip them for the privileges and responsibilities of citizenship in American society. It will provide them with an enduring sense of membership in one of the greatest enterprises in human history: the exciting, perilous, and consequential story of their own country. The existing texts simply fail to tell that story with energy and conviction. They are more likely to reflect the skeptical or partial outlook of specialized professional academic historians, an outlook that leads to a fragmented and fractured view of modern American society and fails to convey to American readers the greater arc of their own history. Or they disproportionately reflect the outlook of radical critics of American society, whose one-sided accounts lack the balance of a larger perspective and have had an enormous, and largely negative, effect upon the teaching of American history in American high schools and colleges. This state of affairs cannot continue for long without producing serious consequences. A great nation needs and deserves a great and coherent narrative, as an expression of its own self-understanding; and it needs to be able to convey that narrative to its young effectively. It perhaps goes without saying that such a narrative cannot be a fairy tale or a whitewash of the past; it will not be convincing if it is not truthful. But there is no necessary contradiction between an honest account of the American past and an inspiring one. This account seeks to provide both.

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The Beekeeper of Aleppo. Christy Lefteri

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ISBN: 9781984821218 | 336 pages | 9 Mb

• The Beekeeper of Aleppo
• Christy Lefteri
• Page: 336
• Format: pdf, ePub, fb2, mobi
• ISBN: 9781984821218
• Publisher: Random House Publishing Group

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