Using the history of mathematics in the classroom: the example of cartography and navigation
Keywords:
Course programs, Classical problems, Measurament of the Earth, Maps, Mercator's projection, Logarithmic spiralAbstract
Mathematics play an important role at school. Mathematics have this relevance because they are part of our culture and also because they are one of the few subjects that force our students to think. Accadingto this objetive and in order to make our clases more enjoyable and interesting we propose to use themes and ideas coming from the History of Mathematics. As an example we expose the historical development of cartography and navigation.
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References
BOYER, C. (1968). A History of Mathematics. John Wilcy & Sons (hay una traducción en Alianza Universidad).
CAJORI, F. (1915). On an integration antedating the integral calculus. Bibliotheca Mathematica, 3rd series, 14, 312-319.
CALINGER, R. (1996). Vita Mathematica: Historical Research and Integration with Teaching. The Mathematical Association of America, MAA Notes n° 40.
CARSLAW, H.S. (1924). The story of Mercator's map. The Mathematical Gazette, Vol. XII, 168, 1-7.
CRONE, G.R. (1978). Maps and Their Makers, 5th edition. Folkestone, Kent, England: Wm. Dawson and Sons, Ltd.
FISHER, I. (1965). How far is from here to there? The Mathematics Teacher, 123-130.
GILLISPIE, C.C. ed. (1970-1980). The Dictionnary of Scientific Biography. New York: Charles Scribner's Sons.
KATZ, V.J. (1993). A History of Mathematics: an Introduction. Harper and Collins College Publishers.
KLINE, M. (1973). El fracaso de la Matemática Moderna. Madrid: Siglo XXI de Editores S.A.
LARSEN, H.D. (1952). Club Tapies. American Mathematical Monthly, 59, 475-478.
NIEVERGELT, Y. (1996). Differentials and geographical maps in multivariable calculus and complex analysis. UMAP Modules in Undergraduate Mathematics and Its Applications, 17, 1, 25-70.
NORD, J. (1996). Mercator's Rhumb Lines: A Multivariable Application of Are Length. Mathematics Magazine, 27, 5, 384-387.
PEPPER, J.V. (1967). Harriot's calculation of the meridional parts as logarithmic tangents. Archive for History of Exact Science, 4, 359-413.
RESNIKOFF, H.L.; WELLS, R.O. (1984). Mathematics in Civilization. New York: Dover Publications Inc.
RICKEY, V.F. (1992). How Columbus Encountered America. Mathematics Magazine, 65, 4, 219-225.
RICKEY, V.F.; TUCHINSKY, P. (1980). An Application of Geography to Mathematics: History of the Integral of the Secant. Mathematics Magazine, 53, 3, 162-166.
SACHS, J.M. (1987). A Curious Mixture of Maps, Dates, and Names. Mathematics Magazine, 60, 3, 151-158.
STILL WELL, J. (1989). Mathematics and Its History. Undergraduate Texts in Mathematics, Springer Verlag.
WRIGHT, E. (1599). Certaine Errors in Navigation, Arising either of the ordinaire erroneous making or using of che sea Chart, Compasse, Crosse staffe, and Tables of declination of the Sunne, and fixed Starres detected and corrected. London: Valentine Sims.