Abstract
This Chapter is an expanded and more polished form of the Round table on the topic ‘The Evolution of the Geometry Curriculum’, which opened the Catania conference. The participants were: Massimo Galuzzi, Brian Griffiths, Colette Laborde and Michael Neubrand; and they described some experiences of their respective countries - Italy, Britain, France and Germany. In 1900 these were leaders in the design of mathematical curricula, and their effects persist in many contemporary curricula (see Howson [17]), so it seems reasonable to look at their systems in some detail. Because of the genesis of the Chapter, it is made up of personal views; each author has tried to get the facts correct, but there is no attempt to get a ’Committee view’ on the various opinions expressed. Consequently, the relevant author’s name appears at the head of each main sub-section (but the References are all listed together at the end).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ahmed, A. & Williams, H.: Raising Achievement in Mathematics, Project Report, HM Stationery Office, London, (1992).
Bender, P.: Abbildungsgeometrie in der didaktischen Diskussion, Zentralblatt fÜr Didaktik der Mathematik 14, 9–24 (1982).
Bender, P.: Zentrale Ideen der Geometrie fÜr den Unterricht der Sekundarstufe I, Beiträge zum Mathematikunterricht 1983, 8–13, (1983).
Bkouche, R.&; Soufflet, M.: Axiomatique, formalisme et théorie, Bulletin Inter IREM Enseignement de la géométrie, n 23, 3–24, (1983).
BRUNER J. S.: The process of education, Cambridge University Press (1960).
Cockcroft, W. H.: Mathematics Counts (Report of the Cockcroft Inquiry), HM Stationery Office, London (1982).
Davis, P.J.: The Rise, Fall, and Possible Transfiguration of Triangle Geometry: a Mini-history, American Mathematical Monthly, 102, 204–214, (1995).
Ernest, P.: Constructivism-Which form provides the most adequate theory of mathematics learning?, Journal fÜr Mathematik-Didaktik 15, 327–342, (1994).
Gardiner, T.: Wrong way. Go back!, Math. Gazette 79, 335–346, (1995).
Gascoigne, J.: Cambridge in the age of Enlightenment: science, religion and politics from the Restoration to the French Revolution, Cambridge University Press (1989).
Graumann, G., Hölzl, R., Krainer, K., Neubrand, M., & Struve, H.: Tendenzen der Geometriedidaktik der letzten 20 Jahre, Journal fÜr Mathematik-Didaktik 17, 163–237, (1996).
Griffiths, H.B.: What is Mathematics Education?, Int. J. Math. Educ. Sci. and Techn., 6, 3–15, (1975).
Griffiths, H.B.: Surfaces, (2nd ed.) Cambridge University Press (1980).
Griffiths, H.B. & Howson, A.G.: Mathematics: Society and Curricula,, Cambridge University Press, (1974).
Hanna, G & Jahnke, H.N.: Proof and application, Educational Studies in Mathematics 24, 421–438, (1993).
Howson, A. G.: A History of Mathematics Education in England, (1982).
Howson, A.G.: National Curricula in Mathematics, The Mathematical Association, Leicester,(1991).
VAN Hiele, P.M.: Structure and Insight: a Theory of Mathematics Education, Academic Press, (1986).
Hölzl, R.: Im Zugmodus der Cabri-Geometrie-Interaktionsstudien und Analysen zum Mathetnatiklernen mit dem Computer, Deutscher Studien Verlag, (1994).
Hölzl, R.: How does “dragging” affect the learning of geometry?, Int. J. of Computers for Mathematical learning, 1, 169–187 (1996).
ICMI DISCUSSION DOCUMENT: Perspectives on the Teaching of Geometry for the 21st Century, (1995).
Jahnke, H.N.: AJ-Khwarizmi und Cantor in der Lehrerbildung, In: Biehler R. et al. (Eds), Mathematik allgemeinbildend unterrichten-Impulse fÜr Lehrerbildung und Schule (IDM-Reihe, Bd. 21), 114–136, Aulis Verlag, (1995).
Kahane, J.P.: Mathématique et formation, Le journal de mathématiques des élèves de l’ENS de Lyon, Vol.l, 45–50, (1994).
Kuntzmann, J.: Evolution et étude critique des enseignements de mathématique, Editions Cedic, (1976).
LENNé, H.: AnaJyse der Mathematikdidaktik in Deutschland, Klett, (1969).
LOMBARDO Radice, L. & MANCINI Proia, L.: II metodo matematico, (3 vols) Principato, (1975).
Mammana, C. (ED): Pre-Proceedings of the ICMI-Study on Geometry, Catania/Italy: University, Department of Mathematics, (1995).
Marion, R.: Problèmes de construction géométrique et enseignement de la géométrie, Bulletin Inter IREM, Enseignement de la géométrie, n 23, 25–31, (1983).
Neubrand, M.: Multiperspectivity as a program: On the development of geometry teaching in the past 20 years in Austria and (West-)Germany, In: C.Mammana [27]_200–203.
Neubrand, M.: Mit Sätzen umgehen kÖnnen-Bestandteil mathematischer Bildung, In: R. Biehler et dl. (Eds) Mathematik allgemeinbildend unterrichten-Impulse fÜr Lehrerbildung und Schule (IDM-Reihe, Bd. 21) 152–174, Aulis Verlag, (1995).
Niss, M., Blum, W. & Huntley, I. (EDS): Teaching of mathematical modelling and applications, Chichester: Ellis Horwood, (1991).
Prodi, G.: Matematica come scoperta, (2 vols) D’Anna, (1975).
Quadling, D.A.: A Century of Textbooks, Math. Gazette, 80, 119–126 (1996).
Schweiger, F.: Fundamentale Ideen-eine geistesgeschichtliche Studie zur Mathematikdidaktik, Journal fÜr Mathematik-Didaktik 13, 199–214, (1992).
Selinger, M.: Raising Achievement in Mathematics Project: A case study of an innovative inservice programme, unpublished MPhil Thesis, University of Cambridge (1987).
Sierpinska, A.: La notion d’obstacle épistémologique dans l’enseignement des mathématiques, In J. de Lange (Ed), Mathématique pour tous-à l’âge de l’ordinateur. C.R. 37e Rencontre CIEAEM, Leiden, 73–95. Utrecht: Rijks-Universiteit, (1985).
Straesser, R.: Didaktische Transposition-eine Fallstudie anhand des Geometrie Unterrichts, Journal fÜr Mathematik-Didaktik, 13, 231–252, (1992).
Struve, H.: Grundlagen einer Geometriedidaktik, BI-Wissenschaftsverlag, (1990).
Tymoczko, TH. (ED): New directions in the philosophy of mathematics, Birkhäuser, (1986).
VlLLANi, V. & Spotorno, B.: Matematica. Idee e metodi, (2 vols), La Nuova Italia, (1979).
Walters, J.L.: Mathematical Visions: The Pursuit of Geometry in Victorian England, Academic Press (1988).
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Griffiths, B., Galuzzi, M., Neubrand, M., Laborde, C. (1998). The Evolution of Geometry Education Since 1900. In: Mammana, C., Villani, V. (eds) Perspectives on the Teaching of Geometry for the 21st Century. New ICMI Study Series, vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5226-6_7
Download citation
DOI: https://doi.org/10.1007/978-94-011-5226-6_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-4991-4
Online ISBN: 978-94-011-5226-6
eBook Packages: Springer Book Archive