Learn from the MastersThis book is for high school and college teachers who want to know how they can use the history of mathematics as a pedagogical tool to help their students construct their own knowledge of mathematics. Often, a historical development of a particular topic is the best way to present a mathematical topic, but teachers may not have the time to do the research needed to present the material. This book provides its readers with historical ideas and insights which can be immediately applied in the classroom. The book is divided into two sections: the first on the use of history in high school mathematics, and the second on its use in university mathematics. The articles are diverse, covering fields such as trigonometry, mathematical modeling, calculus, linear algebra, vector analysis, and celestial mechanics. Also included are articles of a somewhat philosophical nature, which give general ideas on why history should be used in teaching and how it can be used in various special kinds of courses. Each article contains a bibliography to guide the reader to further reading on the subject. |
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Contents
History in Higher Mathematics | 103 |
Notes Toward a Redefinition of Introductory Group Theory | 253 |
An Episode in the History of Celestial Mechanics | 267 |
A Topics Course in Mathematics | 283 |
A Tribute | 297 |
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Common terms and phrases
abstract algebra algebraic number analysis analytical angle arithmetic axioms Babylonian Bernoulli calculus Caspar Wessel Cauchy Cayley century Chinese classroom complex numbers computational conic sections construction continuous functions convergence course curve defined definition Descartes determined discussion divergent series divisors elements equal Euler example expression Fermat field Figure finite formula Fourier series geometry given gnomon group theory Hamilton history of mathematics ideal ideas infinite number infinite series infinitesimal integral introduction Johann Bernoulli Leibniz length Leonhard Euler linear logarithms mathematicians matrix method modern motion multiplication negative numbers Newton Niels Henrik Abel notation number system number theory plane polygon polynomial problem proof properties quantity quaternions question real numbers result right triangle ring roots sequence shadow reckoning solution solve square symbols tangent teachers teaching techniques theorem topics trigonometric University Press variable vector vector-calculus velocity Wessel York
Bibliographic information
| Title | Learn from the Masters Classroom Resource Materials, ISSN 1557-5918 |
| Editor | Frank Swetz |
| Edition | illustrated |
| Publisher | MAA, 1995 |
| ISBN | 0883857030, 9780883857038 |
| Length | 303 pages |
| Subjects | › Mathematics / General Mathematics / History & Philosophy |
| Export Citation | BiBTeX EndNote RefMan |