Vita Mathematica
Historical Research and Integration with Teaching
$58.00
Part of Mathematical Association of America Notes
 Author: Ronald Calinger
 availability: Refer to RE Math Assn, Refer to, Mathematical Assn of America, PO BOX 91112, WASHINGTON DC, 20090112
 format: Paperback
 isbn: 9780883850978
$58.00
Paperback
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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 JosephLouis 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.
Read more Contains numerous articles dealing with algebra, combinatorics, graph theory and geometry, as well as calculus
 Contains two plays for use in the classroom which dramatise mathematical history
 Demonstrates that history of mathematics deserves a central role in the mathematics curriculum
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×Product details
 format: Paperback
 isbn: 9780883850978
 length: 370 pages
 dimensions: 279 x 217 x 22 mm
 weight: 0.885kg
 availability: Refer to RE Math Assn, Refer to, Mathematical Assn of America, PO BOX 91112, WASHINGTON DC, 20090112
Table of Contents
Part I. Histiography and Sources:
1. New trends and old images in the history of mathematics David E. Rowe
2. The role of problems in the history of mathematics and mathematics teaching Evelyne Barbin
3. Dramatising the birth and formation of mathematical concepts: two dialogues Gavin Hitchcock
Part II. Studies in the History of Mathematics:
4. The four sides and the area: oblique light on the prehistory of algebra Jens Hoyrup
5. The method of indivisible in ancient geometry Wilbur Knorr
6. The enigmas of Chinese mathematics Frank Swetz
7. Combinatorics and induction in medieval Hebrew and Islamic mathematics Victor Katz
8. The earliest correct algebraic solutions of cubic equations Barnabus Hughes
9. Early geometrical works of Marin Getaldic Zarko Dadic
10. Abolition of the slave trade: empowerment through modelling John Fauvel
11. The calculus as algebra, the calculus as geometry: Lagrange, Maclaurin, and their legacy Judith Grabiner
12. The development of algebraic analysis from Euler to Klein and its impact on school mathematics in the nineteenth century Hans Nils Jahnke
13. The mathematics seminar at the University of Berlin: origins, founding and the Kummer–Weierstrass years Ronald Calinger
14. Kovalevskaya's research on the rotation of a rigid body Roger Cooke
15. Mathematics education at nineteenthcentury German technical colleges Susan Hensel
16. American mathematics viewed objectively: the case of geometric models Peggy 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 engineering William Aspray, Andrew Goldstein, and Bernard Williams
Part III. Integration of History of Mathematics Teaching:
18. History of mathematics and the teacher Torkil Heide
19. Ethnomathematics: an explanation Ubiratan D'Ambrosio
20. The necessity of history in teaching mathematics Frederick Rickey
21. Mathematical masterpieces: teaching with original sources Richard C. Laubenbacher
A history of mathematics course for teachers based on great quotations Israel Kleiner
22. Measuring an arc of meridian Michelle Gregoire
23. From Egypt to Benjamin Banneker: African origins of false position solutions Beatrice 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 theorem Martin Flashman
26. The history of the concept of function and some implications for classroom teaching Manfred Kronfellner
27. Integration in finite terms: from Liouville's work to the calculus classroom of today M. K. Siu
28. How many people ever lived James Tattersall.