Conceptual and procedural knowledge: the case of mathematics
Saved in:
| Other Authors: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Hillsdale, NJ [u.a.]
Erlbaum
1986
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 309 S. |
| ISBN: | 0898595568 |
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| 245 | 1 | 0 | |a Conceptual and procedural knowledge |b the case of mathematics |c ed. by James Hiebert |
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Record in the Search Index
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| adam_text | Contents
Preface ix
Foreword x;
1 Conceptual and Procedural Knowledge in Mathematics:
An Introductory Analysis 7
lames Hiebert and Patricia Lefevre
Definitions of Conceptual and Procedural Knowledge 3
Potential Relationships Between Conceptual and Procedural
Knowledge 9
Actual Relationships Between Conceptual and Procedural
Knowledge 16
The Mission of the Book 22
References 23
2 The Notion of Principle: The Case of Counting 29
Rochel Celman and Elizabeth Meek
Initial Considerations 29
Evidence 40
Learning New Principles: Or Why Conceptual, Procedural, and
Utilization Competence Interact 51
Conclusion 54
Acknowledgments 55
References 55
vi CONTENTS
3 Children s Mastery of Written Numerals and the Construction
of Basic Number Concepts 59
Hermine Sinclair and Anne Sinclair
The Development of Number Concepts 62
The Beginning of the Child s Construction of the Written
Number System 67
Acknowledgments 73
References 73
4 The Relationship Between Initial Meaningful and Mechanical
Knowledge of Arithmetic 75
Arthur j. Baroody and Herbert P. Cinsburg
Informal Arithmetic 76
Basic Number Combinations 88
The Effects of Schooling 99
Conclusion 103
Acknowledgments 107
References 107
5 Conceptual Knowledge as a Foundation for Procedural Knowledge:
Implications from Research on the Initial Learning
of Arithmetic 113
Thomas P. Carpenter
Procedural and Conceptual Knowledge in Young Children 113
Concepts, Procedures, and Instruction 124
Acknowledgments 131
References 131
6 Arithmetic Procedures are Induced from Examples 133
Kurt VanLehn
Schematic versus Teleological Knowledge 138
Three Ways that Arithmetic Could be Learned 141
The Conservative Evaluation of the Induction Hypothesis 143
A Liberal Evaluation of the Induction Hypothesis 150
Learning by Analogy 152
Learning by Being Told 155
Summary 157
Concluding Remarks 159
Appendix 162
Acknowledgments 177
References 177
CONTENTS vii
7 Using Conceptual and Procedural Knowledge:
A Focus on Relationships 181
Edward A. Silver
Concepts, Procedures, and Problem Solving 182
Concepts versus Procedures 183
Problem Solving with Understanding 191
Acknowledgments 197
References 197
8 Procedures Over Concepts: The Acquisition of Decimal
Number Knowledge 199
lames Hiebert and Diana Wearne
Decimal Number Knowledge 203
Conclusions 220
Acknowledgments 222
References 222
9 On Having and Using Geometric Knowledge 225
Alan H. Schoenfeld
Overview 225
The Resolution of a False Dichotomy 241
Cognitive Underpinnings: The Relevant Literature 249
In the Classroom 256
Acknowledgments 263
References 263
-I r Conceptual and Procedural Knowledge in Mathematics:
• J A Summary Analysis 265
Robert B. Davis
What s Wrong with School Mathematics 265
Conceptual vs. Procedural Knowledge in Computers 295
Conclusion 298
References 298
Author Index 301
Subject Index 307
|
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| indexdate | 2024-07-09T15:43:10Z |
| institution | BVB |
| isbn | 0898595568 |
| language | English |
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| physical | XIII, 309 S. |
| publishDate | 1986 |
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| publisher | Erlbaum |
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| spelling | Conceptual and procedural knowledge the case of mathematics ed. by James Hiebert Hillsdale, NJ [u.a.] Erlbaum 1986 XIII, 309 S. txt rdacontent n rdamedia nc rdacarrier Mathematik (DE-588)4037944-9 gnd rswk-swf Problemlösen (DE-588)4076358-4 gnd rswk-swf Problemlösen (DE-588)4076358-4 s Mathematik (DE-588)4037944-9 s DE-604 Hiebert, James edt HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001493556&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Conceptual and procedural knowledge the case of mathematics Mathematik (DE-588)4037944-9 gnd Problemlösen (DE-588)4076358-4 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4076358-4 |
| title | Conceptual and procedural knowledge the case of mathematics |
| title_auth | Conceptual and procedural knowledge the case of mathematics |
| title_exact_search | Conceptual and procedural knowledge the case of mathematics |
| title_full | Conceptual and procedural knowledge the case of mathematics ed. by James Hiebert |
| title_fullStr | Conceptual and procedural knowledge the case of mathematics ed. by James Hiebert |
| title_full_unstemmed | Conceptual and procedural knowledge the case of mathematics ed. by James Hiebert |
| title_short | Conceptual and procedural knowledge |
| title_sort | conceptual and procedural knowledge the case of mathematics |
| title_sub | the case of mathematics |
| topic | Mathematik (DE-588)4037944-9 gnd Problemlösen (DE-588)4076358-4 gnd |
| topic_facet | Mathematik Problemlösen |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001493556&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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