Perspectives on the Teaching of Geometry for the 21st Century

New ICMI Study Series , Vol. 5
Carmelo Mammana, Vinicio Villani (Editores)

Springer | 1998 | 353 páginas | rar -pdf | 10 Mb

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Capítulos:
Introduction. 1 I. Geometry and Geometry-Teaching through the Ages 1
C. Mammana, V. Villani.
II. About the Present ICMI Study 4
V. Villani.
III. Acknowledgements 7
V. Villani.
1: Geometry: Past and Future. 9 I. Everlasting Geometry 9
V. Lundsgaard Hansen.
II. Finding Room in the Curriculum for Recent Geometry 18
J. Malkevitch.
III. Space and Plane 25
A. Douady.
2: Reasoning in Geometry. 29
I. About Reasoning in Geometry 29
R. Hershkowitz.
II. Geometry from a Cognitive Point of View 37
R. Duval.III.
Teaching and Learning Geometry in Contexts 52
M. Bartolini Bussi, P. Boero.
IV. Springboards to Geometry 62
R. Lehrer, T. Romberg.
V. The Role of Pupils' Spatial Knowledge in the Elementary Teaching of Geometry 71
R. Berthelot, M.H. Salin.
VI. Deductive and Intuitive Approaches to Solving Geometrical Problems 78
K. Jones.
3: Geometry in our World. 85
I. Geometry and Reality 85
J. Malkevitch.
II. Recent Applications of Geometry 100
W. Meyer.
III. Science and Technology in Geometry Textbooks 106
P. Legisa.
4: Computer Technology and the Teaching of Geometry. 109
Introduction 109
I. Osta.
I. Visual Phenomena in the Teaching/Learning of Geometry in a Computer-Based Environment 113
C.Laborde.
II. Proof in Dynamic Geometry Contexts 121
C. Hoyles, K. Jones.
III. CAD Tools and the Teaching of Geometry 128
I. Osta.
IV. The Computer as a Context for New Possible Geometrical Activities 144
K.-D. Graf, B. Hodgson.
5: Geometry in the Classroom 159
R. Douady, B. Parzysz.
6: The Evolution of Geometry Education since 1900. 193
I. The British Experience 194
H.B. Griffiths.
II. The Evolution of Curricula as Indicated by Different Kinds of Change in Geometry Textbooks 204
M. Galuzzi, et al.
III. General Tendencies in the Development of Geometry Teaching in the Past Two Decades 223
H.B. Griffiths, M. Neubrand.
Appendix:Influences of History and the General Social Development on the Teaching of Geometry 229
M. Galuzzi, M. Neubrand.
7: Changes and Trends in Geometry Curricula. 235
I. General Considerations on Curricula Designs in Geometry 235
V. Lundsgaard Hansen.
II. Examples of Curricula Designs in Geometry 243
C.E. Vasco, et al.
III. Looking Towards the 21st Century: Possible Trends in Geometry Curricula 260
V. Lundsgaard Hansen.
8: Assessment in Geometry. 263
I. Dimensions of Geometry and Assessment 263
M. Niss.
II.Assessing Reasoning Abilities in Geometry 275
J. Pegg, et al.
9: Teacher Qualifications and the Education of Teachers 297
M. Niss.
10: The Way Ahead 319
V. Villani on behalf of the International Program Committee.
Bibliography 329
Appendix: Perspectives on the Teaching of Geometry for the 21st Century 337
List of Participants to the Catania Conference. 347
Addresses of the Contributors. 348
Index. 351