Vita Mathematica: Historical Research and Integration with TeachingCambridge University Press, 1996 - 359 sider 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. |
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Innhold
From the Scientific Revolution to the Present | 113 |
Judith Grabiner | 131 |
The Role of the National Science Foundation in the Rise of Theoretical Computer | 209 |
Laubenbacher and David J Pengelley | 257 |
Origins and Teaching of Calculus | 301 |
Barrows Theorem Martin Flashman | 309 |
The History of the Concept of Function and Some Implications for Classroom Teaching | 317 |
How Many People Ever Lived? James Tattersall | 331 |
Notes on Contributors | 339 |
345 | |
Vanlige uttrykk og setninger
academic al-jabr algebraic analysis algorithm analytic ancient André Weil angles Apollonius applied Archimedean Archimedes arithmetic Babylonian mathematics Berlin calculus Cambridge Cantor century Chinese Chinese mathematics circle College complex computer science concept cone cube cultural curve cylinder differential equations Dirichlet Elements ematics engineering equal ethnomathematics Euclid Euclid's Elements Euler example faculty Felix Klein Figure finite formula Foundation functions geometric Georg Cantor Getaldić given Greek Greek mathematics history of mathematics Ibid ibn al-Banna ideas indivisibles infinite integrals Joseph Liouville Journal Karl Weierstrass Kovalevskaya Kummer Lagrange Leonardo Maclaurin math mathematicians mathematics education matics measure method models modern paper Paris Philosophical problem proof published pupils root scientific seminar sides solution solve square Stevin STIFEL tangent teachers teaching techniques theorem theory theta functions tion tradition translation triangle University Press Weierstrass York