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Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000003976895 | QA21 V57 1996 | Open Access Book | Book | Searching... |
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Summary
Summary
Vita Mathematica will enable teachers to learn the relevant history of various topics in the undergraduate curriculum and help them incorporate this history in their teaching. It contains articles dealing not only with calculus, but also with algebra, combinatorics, graph theory, and geometry, as well as more general articles on teaching courses for prospective teachers, and describes courses taught entirely using original sources. Judith Grabiner shows us how two important eighteenth century mathematicians, Colin Maclaurin and Joseph-Louis Lagrange, understood the calculus from these different standpoints and how their legacy is still important in teaching calculus today. We learn from Hans Nils Jahnke why Lagrange's algebraic approach dominated teaching in Germany in the nineteenth century. Wilbur Knorr traces the ancient history of one of the possible foundations, the concept of indivisibles. This volume demonstrates that the history of mathematics is no longer tangential to the mathematics curriculum, but in fact deserves a central role.
Table of Contents
| Part I Histiography and Sources |
| 1 New trends and old images in the history of mathematicsDavid E. Rowe |
| 2 The role of problems in the history of mathematics and mathematics teachingEvelyne Barbin |
| 3 Dramatising the birth and formation of mathematical concepts: two dialoguesGavin Hitchcock |
| Part II Studies in the History of Mathematics |
| 4 The four sides and the area: oblique light on the prehistory of algebraJens Hoyrup |
| 5 The method of indivisible in ancient geometryWilbur Knorr |
| 6 The enigmas of Chinese mathematicsFrank Swetz |
| 7 Combinatorics and induction in medieval Hebrew and Islamic mathematicsVictor Katz |
| 8 The earliest correct algebraic solutions of cubic equationsBarnabus Hughes |
| 9 Early geometrical works of Marin GetaldicZarko Dadic |
| 10 Abolition of the slave trade: empowerment through modellingJohn Fauvel |
| 11 The calculus as algebra, the calculus as geometry: Lagrange, Maclaurin, and their legacyJudith Grabiner |
| 12 The development of algebraic analysis from Euler to Klein and its impact on school mathematics in the nineteenth centuryHans Nils Jahnke |
| 13 The mathematics seminar at the University of Berlin: origins, founding and the Kummer-Weierstrass yearsRonald Calinger |
| 14 Kovalevskaya's research on the rotation of a rigid bodyRoger Cooke |
| 15 Mathematics education at nineteenth-century German technical collegesSusan Hensel |
| 16 American mathematics viewed objectively: the case of geometric modelsPeggy Kidwell |
| 17 The social and intellectual shaping of a new mathematical discipline: the role of the National Science |
| Foundation in the rise of theoretial computer science and engineeringWilliam Aspray and Andrew Goldstein and Bernard Williams |
| Part III Integration of History of Mathematics Teaching |
| 18 History of mathematics and the teacherTorkil Heide |
| 19 Ethnomathematics: an explanationUbiratan D'Ambrosio |
| 20 The necessity of history in teaching mathematicsFrederick Rickey |
| 21 Mathematical masterpieces: teaching with original sourcesRichard C. Laubenbacher |
| A history of mathematics course for teachers based on great quotationsIsrael Kleiner |
| 22 Measuring an arc of meridianMichelle Gregoire |
| 23 From Egypt to Benjamin Banneker: African origins of false position solutionsBeatrice Lumpkin |
| 24 Mary Everest Boole (1832-1916)Karen Dee Michalowicz |
| 25 Pupil's perception of the continuum Peter Bero |
| Historical motivation for a calculus course: Barrow's theoremMartin Flashman |
| 26 The history of the concept of function and some implications for classroom teachingManfred Kronfellner |
| 27 Integration in finite terms: from Liouville's work to the calculus classroom of todayM. K. Siu |
| 28 How many people ever livedJames Tattersall |
