Perspectives on the teaching of geometry for the 21st century: an ICMI study
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Dordrecht u.a.
Kluwer
1998
|
| Series: | New ICMI studies series
5 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 353 S. graph. Darst. |
| ISBN: | 0792349903 0792349911 |
Staff View
MARC
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| 245 | 1 | 0 | |a Perspectives on the teaching of geometry for the 21st century |b an ICMI study |c ed. by Carmelo Mammana ... |
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Record in the Search Index
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| adam_text | TABLE OF CONTENTS
Introduction 1
I. Geometry and geometry-teaching through the ages
C. Mammana V. Villani 1
II. About the present ICMI study
V. Villani 4
III. Acknowledgements
V. Villani 7
1. Geometry: Past and Future 9
I. Everlasting geometry
V. Lundsgaard Hansen 9
II. Finding room in the curriculum for recent geometry
J. Malkevitch 18
III. Space and plane
A. Douady 25
2. Reasoning in Geometry 29
I. About reasoning in geometry
R. Hershkowitz 29
II. Geometry from a cognitive point of view
R. Duval 37
III. Teaching and learning geometry in contexts
M. Bartolini Bussi P. Boero 52
IV. Springboards to geometry
R. Lehrer T. Romberg 62
V. The role of pupils1 spatial knowledge in the elementary
teaching of geometry
R. Berthelot M. H. Salin 71
VI. Deductive and intuitive approaches to solving geometrical
problems
K. Jones 78
V
vi
3. Geometry in our World 85
I. Geometry and reality
J. Malkevitch 85
II. Recent applications of geometry
W. Meyer 100
III. Science and technology in geometry textbooks
P. Legisa 106
4. Computer Technology and the Teaching of Geometry 109
Introduction
/. Osta 109
I. Visual phenomena in the teaching/learning of geometry in
a computer-based environment
C. Laborde 113
II. Proof in dynamic geometry contexts
C. Hoyles K. Jones 121
III. CAD tools and the teaching of geometry
I. Osta 128
IV. The computer as a context for new possible
geometrical activities
K.-D. Graf B. Hodgson 144
5. Geometry in the Classroom
R. Douady B. Parzysz 159
6. The Evolution of Geometry Education since 1900 193
I. The British experience
H. B. Griffiths 194
II. The evolution of curricula as indicated by different kinds
of change in geometry textbooks
M. Galuzzi, M. Neubrand C. Laborde 204
III. General tendencies in the development of geometry
teaching in the past two decades
H. B. Griffiths M. Neubrand 223
vii
Appendix: Influences of history and the general social
development on the teaching of geometry
M. Galuzzi M. Neubrand 229
7. Changes and Trends in Geometry Curricula 235
I. General considerations on curricula designs in geometry
V. Lundsgaard Hansen 235
II. Examples of curricula designs in geometry: 243
• Dynamic geometry in the Colombian school curriculum
C. E. Vasco 243
• Geometry in Egypt
G. K. Gholam 248
• Geometry in the Polish school: present state and perspectives
J. Tocki S. Turnau 252
• Geometry in China: the teaching material
S. Tang F. Zhang 254
• The geometry curriculum in Germany: past and future trends
M. Neubrand 257
III. Looking towards the 21st century: possible trends in
geometry curricula
V. Lundsgaard Hansen 260
8. Assessment in Geometry 263
I. Dimensions of geometry and assessment
M. Niss 263
II. Assessing reasoning abilities in geometry
J. Pegg, A. Gutierrez P. Huerta 275
9. Teacher Qualifications and the Education of Teachers
M. Niss 297
10. The Way Ahead
V. Villani on behalf of the International Program Committee 319
viii
Bibliography 329
Appendix
Perspectives on the Teaching of Geometry for the
21st Century (Discussion Document for an ICMI Study) 337
List of Participants to the Catania Conference 347
Addresses of the Contributors 348
Index 351
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T19:15:16Z |
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| isbn | 0792349903 0792349911 |
| language | English |
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| physical | VIII, 353 S. graph. Darst. |
| publishDate | 1998 |
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| series | New ICMI studies series |
| series2 | New ICMI studies series |
| spelling | Perspectives on the teaching of geometry for the 21st century an ICMI study ed. by Carmelo Mammana ... Dordrecht u.a. Kluwer 1998 VIII, 353 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier New ICMI studies series 5 Geometry Study and teaching Geometrie (DE-588)4020236-7 gnd rswk-swf Mathematikunterricht (DE-588)4037949-8 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Geometrie (DE-588)4020236-7 s Mathematikunterricht (DE-588)4037949-8 s DE-604 Mammana, Carmelo Sonstige oth New ICMI studies series 5 (DE-604)BV011532615 5 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010382098&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Perspectives on the teaching of geometry for the 21st century an ICMI study New ICMI studies series Geometry Study and teaching Geometrie (DE-588)4020236-7 gnd Mathematikunterricht (DE-588)4037949-8 gnd |
| subject_GND | (DE-588)4020236-7 (DE-588)4037949-8 (DE-588)4143413-4 |
| title | Perspectives on the teaching of geometry for the 21st century an ICMI study |
| title_auth | Perspectives on the teaching of geometry for the 21st century an ICMI study |
| title_exact_search | Perspectives on the teaching of geometry for the 21st century an ICMI study |
| title_full | Perspectives on the teaching of geometry for the 21st century an ICMI study ed. by Carmelo Mammana ... |
| title_fullStr | Perspectives on the teaching of geometry for the 21st century an ICMI study ed. by Carmelo Mammana ... |
| title_full_unstemmed | Perspectives on the teaching of geometry for the 21st century an ICMI study ed. by Carmelo Mammana ... |
| title_short | Perspectives on the teaching of geometry for the 21st century |
| title_sort | perspectives on the teaching of geometry for the 21st century an icmi study |
| title_sub | an ICMI study |
| topic | Geometry Study and teaching Geometrie (DE-588)4020236-7 gnd Mathematikunterricht (DE-588)4037949-8 gnd |
| topic_facet | Geometry Study and teaching Geometrie Mathematikunterricht Aufsatzsammlung |
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