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Vita Mathematica

Vita Mathematica
Historical Research and Integration with Teaching

$58.00 (Z)

Part of Mathematical Association of America Notes

William Aspray, Evelyne Barbin, Peter Bero, Ronald Calinger, Roger Cooke, Zarko Dadic, Ubiratan D'Ambrosio, John Fauvel, Martin Flashman, Andrew Goldstein, Judith Grabiner, Michelle Gregoire, Torkil Heide, Susan Hensel, Gavin Hitchcock, Jens Hoyrup, Barnabus Hughes, Hans Nils Jahnke, Victor Katz, Peggy Kidwell, Israel Kleiner, Wilbur Knorr, Manfred Kronfellner, Richard C. Laubenbacher, Beatrice Lumpkin, Frederick Rickey, David E. Rowe, M. K. Siu, Frank Swetz, James Tattersall, Bernard Williams, Karen Dee Michalowicz
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  • availability: Refer to RE Math Assn, Refer to, Mathematical Assn of America, PO BOX 91112, WASHINGTON DC, 20090-112
  • format: Paperback
  • isbn: 9780883850978

$58.00 (Z)
Paperback

Refer to RE Math Assn, Refer to, Mathematical Assn of America, PO BOX 91112, WASHINGTON DC, 20090-112
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About the Authors
  • 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.

    • 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
    Read more

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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, 20090-112
  • 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 nineteenth-century 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.

  • Author

    Ronald Calinger, Catholic University of America, Washington DC

    Contributors

    William Aspray, Evelyne Barbin, Peter Bero, Ronald Calinger, Roger Cooke, Zarko Dadic, Ubiratan D'Ambrosio, John Fauvel, Martin Flashman, Andrew Goldstein, Judith Grabiner, Michelle Gregoire, Torkil Heide, Susan Hensel, Gavin Hitchcock, Jens Hoyrup, Barnabus Hughes, Hans Nils Jahnke, Victor Katz, Peggy Kidwell, Israel Kleiner, Wilbur Knorr, Manfred Kronfellner, Richard C. Laubenbacher, Beatrice Lumpkin, Frederick Rickey, David E. Rowe, M. K. Siu, Frank Swetz, James Tattersall, Bernard Williams, Karen Dee Michalowicz

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