Archimedes in Secondary Schools: A Teaching Proposal for the Math Curriculum

  • Francesco A. Costabile
  • Annarosa Serpe
Conference paper
Part of the History of Mechanism and Machine Science book series (HMMS, volume 11)


The aim is to propose, at various levels in secondary schools, Archimedes’ idea for calculating π using the computer as programming tool. In this way, it will be possible to remember the work of one of the greatest geniuses in history and, at the same time, carry out an interdisciplinary project, particularly relevant to the current debate on the Math curriculum.


Regular Polygon Programming Tool Regular Hexagon Lower Secondary School Trigonometric Identity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Beckmann P.A History of Pi, St. Martin’s Press, New York, 1971, pp. 62–72.Google Scholar
  2. Costabile F.A. Appunti di calcolo numerico con software didattico, Liguori Editore, Napoli, 1992, pp. 322-323.Google Scholar
  3. Costabile F.A. Laboratorio di programmazione e calcolo, Liguori Editore, Napoli, 2003, pp. 21–31.Google Scholar
  4. Costabile F.A. and Serpe A., Le projet MATCOS, Lagrange J.B. & al. (eds), Actes du Colloque Européen ITEM (Integration des Tecnologies dans l’Enseignement des Mathématiques), 2003, IUFM, Reims, France,
  5. Costabile F.A.and Serpe A., The MatCos Project: a survey of the results of the experiment, Gómez Chova L, & al. (eds), ICERI2009 (International Conference of Education, Research and Innovation 2009) Proceedings CD, IATED, Valencia, ISBN: 978-84- 613-2955-7.Google Scholar
  6. Delahaye J.-P. Le Fascinant Nombre PI, (Belin-Pour la Science), Paris, 1997, p. 51.Google Scholar
  7. Edwards C.H. The Historical Development of the Calculus, Springer-Verlag, New York, 1979.Google Scholar
  8. Frajese A. (ed), Opere di Archimede, Utet, Torino, 1974, pp. 215–231.Google Scholar
  9. Posamentier A.S. and Lehmann I., Pi: A Biography of the World’s Most Mysterious Number, Prometheus Books, 2004.Google Scholar
  10. Weisstein E.W., Archimedes’ Recurrence Formula. From MathWorld—A Wolfram Web Resource., retrevied on January, 9 2010.

Copyright information

© Springer Netherlands 2010

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of CalabriaRendeItaly

Personalised recommendations