Thinking as communicating: human development, the growth of discourses, and mathematizing
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2008
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Learning in doing
|
| Schlagworte: | |
| Online-Zugang: | Table of contents only Contributor biographical information Publisher description Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | XXIII, 324 S. Ill., graph. Darst. |
| ISBN: | 9780521867375 |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
Series Foreword page xi
Introduction xiii
Acknowledgments xxi
Part I. Discourse on Thinking
Puzzling about (Mathematical) Thinking 3
1. The Quandary of Number 4
2. The Quandary of Abstraction (and Transfer) 9
3. The Quandary of Misconceptions 16
4. The Quandary of Learning Disability 22
5. The Quandary of Understanding 27
6. Puzzling about Thinking - in a Nutshell 32
Objectification 34
1. What Is Research and What Makes It Ineffective? 35
2. Metaphors as Generators of New Discourses 39
3. The Metaphor of Object 42
4. The Gains of Objectification 51
5. The Traps of Objectification - the Case of the Discourse
on Thinking 56
6. Objectification - in a Xutshell 63
Commognition: Thinking as Communicating 65
1. Monological and Dialogical Discourses on Thinking 65
2. Disobjectification of Discourses on Thinking - Brief History 68
3. We .Are Almost There: Participationism 6
4. Finally: Thinking as Communicating SO
5. Thinking as Communicating —in a Nutshell 91
viii Contents
4. Thinking in Language 94
1. The Dilemma of Relation between Thinking and Speaking 95
2. Commognizing in Language 101
3. Y Tiat Are the Properties of Commognition That Recursivity
Makes Possible? 109
4. Human Development as the Development of Discourses 115
5. Thinking in Language - in a Nutshell 123
Part II. Mathematics as Discourse
5. .Mathematics as a Form of Communication 127
1. What Makes Mathematical Discourse Distinct 129
2. Challenges to Mathematical Communication 135
3. Visual .Mediation in Mathematical Communication 146
4. Visual Realizations of Mathematical Signifiers 154
5. Mathematics as a Form of Communication - in a Nutshell 160
6. Objects of .Mathematical Discourse: What Alathematizing
Is All About 163
1. Mathematical Objects 164
2. Historical Development of Mathematical Objects 174
3. Individualization of .Mathematical Objects 177
4. Challenges of Object Construction 182
5. Objects of Mathematical Discourse - in a Nutshell 192
7. Routines: Flow We .Mathemati/.e 195
1. Meanmgfulness from Repetition 195
2. Rules of Discourse 200
3. Routines 208
4. Routines and Creativity 216
5. Routines - in a Nutshell 220
8. Explorations, Deeds, and Rituals: What We Mathematize For 222
1. F.xplorations 223
2. Deeds 236
3. Rituals 241
4. Development ot Routines 245
5. F, plorations, Deeds, and Rituals: What We Mathematize
l or- in a Nutshell 259
9. Looking Back and Ahead: Solving Old Quandaries and Facing
New Ones 261
1. Look-ins Back: What Has Been Done 262
Contents
2. What Happened to the Old Quandaries 263
3. What Happened to Research on Thinking and Human
Development 275
4. Some Implications for the Practice of Teaching and Learning 280
5. Looking Ahead: Facing New Questions (and New
Quandaries?) 289
6. Looking Back and Ahead - in a Nutshell 292
Glossary of Commognition 295
References 303
Name Index 319
Subject Index 322
|
| adam_txt |
Contents
Series Foreword page xi
Introduction xiii
Acknowledgments xxi
Part I. Discourse on Thinking
Puzzling about (Mathematical) Thinking 3
1. The Quandary of Number 4
2. The Quandary of Abstraction (and Transfer) 9
3. The Quandary of Misconceptions 16
4. The Quandary of Learning Disability 22
5. The Quandary of Understanding 27
6. Puzzling about Thinking - in a Nutshell 32
Objectification 34
1. What Is Research and What Makes It Ineffective? 35
2. Metaphors as Generators of New Discourses 39
3. The Metaphor of Object 42
4. The Gains of Objectification 51
5. The Traps of Objectification - the Case of the Discourse
on Thinking 56
6. Objectification - in a Xutshell 63
Commognition: Thinking as Communicating 65
1. Monological and Dialogical Discourses on Thinking 65
2. Disobjectification of Discourses on Thinking - Brief History 68
3. We .Are Almost There: Participationism 6
4. Finally: Thinking as Communicating SO
5. Thinking as Communicating —in a Nutshell 91
viii Contents
4. Thinking in Language 94
1. The Dilemma of Relation between Thinking and Speaking 95
2. Commognizing in Language 101
3. Y\Tiat Are the Properties of Commognition That Recursivity
Makes Possible? 109
4. Human Development as the Development of Discourses 115
5. Thinking in Language - in a Nutshell 123
Part II. Mathematics as Discourse
5. .Mathematics as a Form of Communication 127
1. What Makes Mathematical Discourse Distinct 129
2. Challenges to Mathematical Communication 135
3. Visual .Mediation in Mathematical Communication 146
4. Visual Realizations of Mathematical Signifiers 154
5. Mathematics as a Form of Communication - in a Nutshell 160
6. Objects of .Mathematical Discourse: What Alathematizing
Is All About " 163
1. Mathematical Objects 164
2. Historical Development of Mathematical Objects 174
3. Individualization of .Mathematical Objects 177
4. Challenges of Object Construction 182
5. Objects of Mathematical Discourse - in a Nutshell 192
7. Routines: Flow We .Mathemati/.e 195
1. Meanmgfulness from Repetition 195
2. Rules of Discourse 200
3. Routines 208
4. Routines and Creativity 216
5. Routines - in a Nutshell 220
8. Explorations, Deeds, and Rituals: What We Mathematize For 222
1. F.xplorations 223
2. Deeds 236
3. Rituals 241
4. Development ot Routines 245
5. F,\plorations, Deeds, and Rituals: What We Mathematize
l'or- in a Nutshell 259
9. Looking Back and Ahead: Solving Old Quandaries and Facing
New Ones 261
1. Look-ins Back: What Has Been Done 262
Contents
2. What Happened to the Old Quandaries 263
3. What Happened to Research on Thinking and Human
Development 275
4. Some Implications for the Practice of Teaching and Learning 280
5. Looking Ahead: Facing New Questions (and New
Quandaries?) 289
6. Looking Back and Ahead - in a Nutshell 292
Glossary of Commognition 295
References 303
Name Index 319
Subject Index 322 |
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| spelling | Sfard, Anna Verfasser aut Thinking as communicating human development, the growth of discourses, and mathematizing Anna Sfard 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2008 XXIII, 324 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Learning in doing Includes bibliographical references and index Mathematik Mathematics Language Thought and thinking Mathematik (DE-588)4037944-9 gnd rswk-swf Kommunikation (DE-588)4031883-7 gnd rswk-swf Diskursanalyse (DE-588)4194747-2 gnd rswk-swf Kognitive Entwicklung (DE-588)4133279-9 gnd rswk-swf Kognitive Entwicklung (DE-588)4133279-9 s Kommunikation (DE-588)4031883-7 s Mathematik (DE-588)4037944-9 s Diskursanalyse (DE-588)4194747-2 s b DE-604 http://www.loc.gov/catdir/toc/ecip0717/2007018212.html Table of contents only http://www.loc.gov/catdir/enhancements/fy0729/2007018212-b.html Contributor biographical information http://www.loc.gov/catdir/enhancements/fy0729/2007018212-d.html Publisher description HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016468695&sequence=000008&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sfard, Anna Thinking as communicating human development, the growth of discourses, and mathematizing Mathematik Mathematics Language Thought and thinking Mathematik (DE-588)4037944-9 gnd Kommunikation (DE-588)4031883-7 gnd Diskursanalyse (DE-588)4194747-2 gnd Kognitive Entwicklung (DE-588)4133279-9 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4031883-7 (DE-588)4194747-2 (DE-588)4133279-9 |
| title | Thinking as communicating human development, the growth of discourses, and mathematizing |
| title_auth | Thinking as communicating human development, the growth of discourses, and mathematizing |
| title_exact_search | Thinking as communicating human development, the growth of discourses, and mathematizing |
| title_exact_search_txtP | Thinking as communicating human development, the growth of discourses, and mathematizing |
| title_full | Thinking as communicating human development, the growth of discourses, and mathematizing Anna Sfard |
| title_fullStr | Thinking as communicating human development, the growth of discourses, and mathematizing Anna Sfard |
| title_full_unstemmed | Thinking as communicating human development, the growth of discourses, and mathematizing Anna Sfard |
| title_short | Thinking as communicating |
| title_sort | thinking as communicating human development the growth of discourses and mathematizing |
| title_sub | human development, the growth of discourses, and mathematizing |
| topic | Mathematik Mathematics Language Thought and thinking Mathematik (DE-588)4037944-9 gnd Kommunikation (DE-588)4031883-7 gnd Diskursanalyse (DE-588)4194747-2 gnd Kognitive Entwicklung (DE-588)4133279-9 gnd |
| topic_facet | Mathematik Mathematics Language Thought and thinking Kommunikation Diskursanalyse Kognitive Entwicklung |
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