Mathematical time capsules: historical modules for the mathematics classroom
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Bibliographische Detailangaben
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Washington, DC Mathematical Association of America c2011
Schriftenreihe:MAA notes 77
Schlagworte:
Online-Zugang:FAW01
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Beschreibung:Includes bibliographical references
1. The sources of algebra / Roger Cooke -- 2. How to measure the Earth / Lawrence D'Antonio -- 3. Numerical solution of equations / Roger Cooke -- 4. Completing the square through the millennia / Dick Jardine -- 5. Adapting the medieval "rule of double false position" to the modern classroom / Randy K. Schwartz -- 6. Complex numbers, cubic equations, and sixteenth-century Italy / Daniel J. Curtin -- 7. Shearing with Euclid / Davida Fischman and Shawnee McMurran -- 8. The mathematics of measuring time / Kim Plofker -- 9. Clear sailing with trigonometry / Glen Van Brummelen -- 10. Copernican trigonometry / Victor J. Katz -- 11. Cusps : horns and beaks / Robert E. Bradley -- 12. The latitude of forms, area, and velocity / Daniel J. Curtin -- 13. Descartes' approach to tangents / Daniel J. Curtin -- 14. Integration à la Fermat / Amy Shell-Gellasch -- 15. Sharing the fun : student presentations / Amy Shell-Gellasch and Dick Jardine --
- 16. Digging up history on the internet : discovery worksheets / Betty Mayfield -- 17. Newton vs. Leibniz in one hour! / Betty Mayfield -- 18. Connections between Newton, Leibniz, and Calculus I / Andrew B. Perry -- 19. A different sort of calculus debate / Vicky Williams Klima -- 20. A 'symbolic' history of the derivative / Clemency Montelle -- 21. Leibniz's calculus (real retro calc.) / Robert Rogers -- 22. An "impossible" problem, courtesy of Leonhard Euler / Homer S. White -- 23. Multiple representations of functions in the history of mathematics / Robert Rogers -- 24. The unity of all science : Karl Pearson, the mean and the standard deviation / Joe Albree -- 25. Finding the greatest common divisor / J. J. Tattersall -- 26. Two-way numbers and an alternate technique for multiplying two numbers / J. J. Tattersall -- 27. The origins of integrating factors / Dick Jardine -- 28. Euler's method in Euler's Words / Dick Jardine --
- 29. Newton's differential equation ẏ/ẋ=1-3x+y+xx+xy / Hüseyin Koçak -- 30. Roots, rocks, and Newton-Raphson algorithms for approximating root2 3000 years apart / Clemency Montelle -- 31. Plimpton 322 : the Pythagorean theorem, more than a thousand years before Pythagoras / Daniel E. Otero -- 32. Thomas Harriot's pythagorean triples : could he list them all? / Janet L. Beery -- 33. Amo, amas, amat! What's the sum of that? / Clemency Montelle -- 34. The Harmonic series : a primer / Adrian Rice -- 35. Learning to move with Dedekind / Fernando Q. Gouvêa
Mathematical Time Capsules offers teachers historical modules for immediate use in the mathematics classroom. Readers will find articles and activities from mathematics history that enhance the learning of topics covered in the undergraduate or secondary mathematics curricula. Each capsule presents at least one topic or a historical thread that can be used throughout a course. The capsules were written by experienced practitioners to provide teachers with historical background and classroom activities designed for immediate use in the classroom, along with further references and resources on the chapter subject. --Publisher description
Beschreibung:1 Online-Ressource (xvii, 285 p.)
ISBN:0883851873
088385984X
9780883851876
9780883859841

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