Perspectives on the Teaching of Geometry for the 21st Century

1. Front Matter

   Pages i-viii

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2. Introduction

   • Carmelo Mammana, Vinicio Villani

   Pages 1-8

3. Geometry: Past and Future

   • Vagn Lundsgaard Hansen, Joseph Malkevitch, Adrien Douady

   Pages 9-28

4. Reasoning in Geometry

   • Rina Hershkowitz, Raymond Duval, Maria G. Bartolini Bussi, Paolo Boero, Richard Lehrer, Thomas Romberg et al.

   Pages 29-83

5. Geometry in Our World

   • Joseph Malkevitch, Walter Meyer, Peter Legiša

   Pages 85-107

6. Computer Technology and the Teaching of Geometry

   • Iman Osta, Colette Laborde, Celia Hoyles, Keith Jones, Klaus-Dieter Graf, Bernard Hodgson

   Pages 109-158

7. Geometry in the Classroom

   • Régine Douady, Bernard Parzysz

   Pages 159-192

8. The Evolution of Geometry Education Since 1900

   • Brian Griffiths, Massimo Galuzzi, Michael Neubrand, Colette Laborde

   Pages 193-234

9. Changes and Trends in Geometry Curricula

   • Vagn Lundsgaard Hansen, Carlos E. Vasco, Ghada K. Gholam, Jerzy Tocki, Stefan Turnau, Tang Shengchang et al.

   Pages 235-261

10. Assessment in Geometry

    • Mogens Niss, John Pegg, Angel Gutiérrez, Pedro Huerta

    Pages 263-295

11. Teacher Qualifications and the Education of Teachers

    • Mogens Niss

    Pages 297-318

12. The Way Ahead

    • Vinicio Villani

    Pages 319-327

13. Back Matter

    Pages 329-353

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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

• Department of Mathematics, University of Catania, Italy

  Carmelo Mammana

• Department of Mathematics, University of Pisa, Italy

  Vinicio Villani

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