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The ancients and the approximated calculation: some examples and suggestions for the classroom

Published online by Cambridge University Press:  01 August 2016

Extract

The idea of using history of mathematics in school practice is becoming more and more popular : Arcavi (1987), Steen (1989) and the French experiences described in Fauvel (1990) offer significant examples on tiiis point. At the same time in many works, such as Freudenthal (1981), Arcavi, Bruckheimer and Ben-Zvi (1982 and 1987), the importance of enhancing the teachers' literacy in the history of mathematics is recognised. We agree with this attitude in mathematics education and in the present paper we offer some hints aimed at an activity which may contribute to the renewing of mathematics teaching and, at the same time, may offer teachers stimuli to reflect on historical development of mathematical ideas.

Type
Research Article
Copyright
Copyright © The Mathematical Association 1992

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References

Arcavi, A., Bruckheimer, M. and Ben-Zvi, R., 1987. “History of mathematics for teachers: the case of irrational numbers”. For the learning of mathematics vol. 7, 2, 1823.Google Scholar
Arcavi, A., Bruckheimer, M. and Ben-Zvi, R., 1982. “Maybe a mathematics teacher can profit from the study of the history of mathematics”. For the learning of mathematics vol. 3, 1, 3037.Google Scholar
Arcavi, A., 1987. “Using historical materials in the mathematics classroom”. Arithmetic teacher vol. 35, 4, 1316.CrossRefGoogle Scholar
Fauvel, J., 1990. History in the mathematics classroom: The IREM papers, vol. 1, Mathematical Association.Google Scholar
Freudenthal, H., 1981. “Should a mathematics teacher know something about the history of mathematics”. For the learning of mathematics vol. 2, 1, 3033.Google Scholar
Gillings, R.J., 1982. Mathematics in the time of the pharaohs, Dover.Google Scholar
Hay, C., (editor), 1988. Mathematics from manuscript to print 1300–1600, Clarendon Press, Oxford.Google Scholar
Heath, T., 1981. A history of Greek mathematics, Dover.Google Scholar
Hogben, L., 1936. Mathematics for the million, Allen and Unwin.Google Scholar
Joseph, G.G., 1990. The crest of the peacock : the non-European roots of mathematics, Penguin.Google Scholar
Kikuki, D., 1896. “Sul metodo dell’antica scuola giapponese per determinare l’area del cerchio”. Periodico di matematica, a.11, 23.Google Scholar
Yan, Li and Shiran, Du, 1987. Chinese mathematics, a concise history. Clarendon Press, Oxford.Google Scholar
Mikami, Y., 1909–10. “The circle squaring of the Chinese”. Bibliotheca Mathematica, folge 3, 10, 193200.Google Scholar
Neugabauer, O., 1969. The exact sciences in antiquity, Dover.Google Scholar
Smith, D.E., 1958. History of mathematics. Dover.Google Scholar
Steen, L.A. 1989. Historical topics in the mathematics classroom. NCTM.Google Scholar
Van Der Waerden, B.L., 1974. Science awakening, Noordhoff, Leyden.Google Scholar
Van Der Waerden, B.L., 1983. Geometry and algebra in ancient civilisations, Springer-Verlag.Google Scholar