Perspectives on the Teaching of Geometry for the 21st Century

An ICMI Study

  • Carmelo Mammana
  • Vinicio Villani

Part of the New ICMI Study Series book series (NISS, volume 5)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Carmelo Mammana, Vinicio Villani
    Pages 1-8
  3. Vagn Lundsgaard Hansen, Joseph Malkevitch, Adrien Douady
    Pages 9-28
  4. Rina Hershkowitz, Raymond Duval, Maria G. Bartolini Bussi, Paolo Boero, Richard Lehrer, Thomas Romberg et al.
    Pages 29-83
  5. Joseph Malkevitch, Walter Meyer, Peter Legiša
    Pages 85-107
  6. Iman Osta, Colette Laborde, Celia Hoyles, Keith Jones, Klaus-Dieter Graf, Bernard Hodgson
    Pages 109-158
  7. Régine Douady, Bernard Parzysz
    Pages 159-192
  8. Brian Griffiths, Massimo Galuzzi, Michael Neubrand, Colette Laborde
    Pages 193-234
  9. Vagn Lundsgaard Hansen, Carlos E. Vasco, Ghada K. Gholam, Jerzy Tocki, Stefan Turnau, Tang Shengchang et al.
    Pages 235-261
  10. Mogens Niss, John Pegg, Angel Gutiérrez, Pedro Huerta
    Pages 263-295
  11. Vinicio Villani
    Pages 319-327
  12. Back Matter
    Pages 329-353

About this book


In recent years geometry seems to have lost large parts of its former central position in mathematics teaching in most countries. However, new trends have begun to counteract this tendency. There is an increasing awareness that geometry plays a key role in mathematics and learning mathematics. Although geometry has been eclipsed in the mathematics curriculum, research in geometry has blossomed as new ideas have arisen from inside mathematics and other disciplines, including computer science.
Due to reassessment of the role of geometry, mathematics educators and mathematicians face new challenges. In the present ICMI study, the whole spectrum of teaching and learning of geometry is analysed. Experts from all over the world took part in this study, which was conducted on the basis of recent international research, case studies, and reports on actual school practice.
This book will be of particular interest to mathematics educators and mathematicians who are involved in the teaching of geometry at all educational levels, as well as to researchers in mathematics education.


History of Mathematics computer science education geometry mathematics mathematics education

Editors and affiliations

  • Carmelo Mammana
    • 1
  • Vinicio Villani
    • 2
  1. 1.Department of MathematicsUniversity of CataniaItaly
  2. 2.Department of MathematicsUniversity of PisaItaly

Bibliographic information

  • DOI
  • Copyright Information Kluwer Academic Publishers 1998
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-7923-4991-4
  • Online ISBN 978-94-011-5226-6
  • Series Print ISSN 1387-6872
  • Buy this book on publisher's site