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Didactical Phenomenology of Mathematical Structures (Mathematics Education Library)

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Author(s): Hans Freudenthal
Edition: 1
Year: 1999

Language: English
Pages: 606

Preliminaries......Page 1
TABLE OF CONTENTS......Page 6
EDITORIAL PREFACE......Page 8
A LOOK BACKWARD AND A LOOK FORWARD......Page 10
1. As an Example: Length......Page 12
2. The Method......Page 39
3. Sets......Page 45
4. Natural Numbers......Page 84
5. Fractions......Page 144
6. Ratio and Proportionality......Page 189
7. Structures: in particular, Geometrical Structures......Page 221
8. Putting into Geometrical Contexts......Page 234
9. Topology as a Geometrical Context......Page 261
10. The Topographical Context......Page 292
11. Figures and Configurations......Page 307
12. Geometrical Mappings......Page 341
13. Measuring by means of Geometry......Page 362
14. Topography with Geometry......Page 418
15. Negative Numbers and Directed Magnitudes......Page 443
16. The Algebraic Language......Page 472
17. Functions......Page 502
LIST OF THE AUTHOR’S PUBLICATIONS ON MATHEMATICS EDUCATION......Page 590
INDEX......Page 597