Problems of representation in the teaching and learning of mathematics:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Hillsdale u.a.
Erlbaum
1987
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 247 S. |
| ISBN: | 0898598028 |
Internformat
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| 245 | 1 | 0 | |a Problems of representation in the teaching and learning of mathematics |c ed. by Claude Janvier |
| 264 | 1 | |a Hillsdale u.a. |b Erlbaum |c 1987 | |
| 300 | |a XI, 247 S. | ||
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Datensatz im Suchindex
| _version_ | 1804115458270429184 |
|---|---|
| adam_text | Contents
Introduction ix
PART I FIRST STEPS INTO THE PROBLEM 7
1
Learning as a Constructive Activity 3
Ernst von Glasersfeld
2
Representation Systems and Mathematics 19
lames /. Kaput
3
Translation Processes in Mathematics Education 27
Claude Janvier
4
Representations and Translations Among Representations in Mathematics
Learning and Problem Solving 33
Richard Lesh, Tom Post, and Merlyn Behr
5
Rational Number Relations and Proportions 41
Richard Lesh, Merlyn Behr, and Tom Post
6
Levels of Language in Mathematical Problem Solving 59
Gerald A. Goldin
7
Representation and Understanding:
The Notion of Function as an Example 67
Claude Janvier
8
What Do Symbols Represent? 73
John Mason
9
Phenomenology and the Evolution of Intuition 83
Andrea diSessa
PART II REACTIONS TO THE PAPERS 97
10
Excerpts From the Conference 99
11
Pedagogical Considerations Concerning
the Problem of Representation 109
Bernadette Dufour lanvier, Nadine Bednarz, and Maurice Belanger
PART III FIRST STEPS TO THE SOLUTION 123
12
Cognitive Representational Systems
for Mathematical Problem Solving 725
Gerald A. Goldin
13
Conceptions and Representations: The Circle as an Example 747
Claude lanvier
14
Toward A Theory of Symbol Use in Mathematics 759
lames /. Kaput
15
The Evolution of Problem Representations in the Presence
of Powerful Conceptual Amplifiers 797
Richard Lesh
16
Representing Representing: Notes Following the Conference 207
John Mason
17
Preliminaries to Any Theory of Representation 215
Ernst von Claserfeld
18
Conclusion 227
Gerard Vergnaud
Author Index 233
Subject Index 237
|
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| id | DE-604.BV001039313 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:22:56Z |
| institution | BVB |
| isbn | 0898598028 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000628401 |
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| physical | XI, 247 S. |
| publishDate | 1987 |
| publishDateSearch | 1987 |
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| publisher | Erlbaum |
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| spelling | Problems of representation in the teaching and learning of mathematics ed. by Claude Janvier Hillsdale u.a. Erlbaum 1987 XI, 247 S. txt rdacontent n rdamedia nc rdacarrier Mathematics - Study and teaching - Congresses Mathematik Mathematikunterricht (DE-588)4037949-8 gnd rswk-swf Mathematikunterricht (DE-588)4037949-8 s DE-604 Janvier, Claude Sonstige oth HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000628401&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Problems of representation in the teaching and learning of mathematics Mathematics - Study and teaching - Congresses Mathematik Mathematikunterricht (DE-588)4037949-8 gnd |
| subject_GND | (DE-588)4037949-8 |
| title | Problems of representation in the teaching and learning of mathematics |
| title_auth | Problems of representation in the teaching and learning of mathematics |
| title_exact_search | Problems of representation in the teaching and learning of mathematics |
| title_full | Problems of representation in the teaching and learning of mathematics ed. by Claude Janvier |
| title_fullStr | Problems of representation in the teaching and learning of mathematics ed. by Claude Janvier |
| title_full_unstemmed | Problems of representation in the teaching and learning of mathematics ed. by Claude Janvier |
| title_short | Problems of representation in the teaching and learning of mathematics |
| title_sort | problems of representation in the teaching and learning of mathematics |
| topic | Mathematics - Study and teaching - Congresses Mathematik Mathematikunterricht (DE-588)4037949-8 gnd |
| topic_facet | Mathematics - Study and teaching - Congresses Mathematik Mathematikunterricht |
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