Children's counting types: philosophy, theory, and application
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Praeger
1983
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVIII, 152 S. |
| ISBN: | 0030637449 |
Internformat
MARC
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| 650 | 4 | |a Counting | |
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Datensatz im Suchindex
| _version_ | 1804114594541600768 |
|---|---|
| adam_text | Contents
PRELIMINARY REMARKS AND ACKNOWLEDGMENTS vii
LIST OF FIGURES AND TABLE xiii
INTRODUCTION xv
Chapter
I THE CREATION OF UNITS AS A PREREQUISITE FOR
NUMBER: A PHILOSOPHICAL REVIEW
Ernst von Glasersfeld and John Richards 1
Comments and Notes to Chapter I 12
II AN ANALYSIS OF COUNTING AND WHAT IS COUNTED
Ernst von Glasersfeld, Leslie P. Stefle, and
John Richards, with the collaboration of
Patrick Thompson 21
Preliminary Remarks 21
1. Counting as a Complex Activity 24
2. The Number Word Sequence 25
3. Coordination (One-to-One Correspondence) 28
4. Perceptual Units 32
5. Figural (Visualized) Units 36
6. Motor Units 38
7. Verbal Units 41
8. Abstract Units 42
Summary 43
III AN ANALYSIS OF CHILDREN S CREATION OF
COUNTABLE ITEMS WHILE COUNTING
Leslie P. Steffe, Paul Cobb, and
John Richards 45
Counters of Perceptual Unit Items 46
Creating Perceptual Unit Items 47
Failure to Create Figural Unit Items 48
Discussion 50
Counters of Figural Unit Items 50
Creating Figural Unit Items 51
Failure to Create Motor Unit Items 52
Breakdowns: Lack of Motor Unit Items 53
ix
Discussion 54
Counters of Motor Unit Items 55
Creating Motor Unit Items 55
One More or Next One? 57
Breakdowns: Lack of Abstract Unit Items 58
Discussion 59
Counters of Verbal Unit Items 60
Creating Motor Unit Items 61
Creating Verbal Unit Items 62
Failure to Create Abstract Unit Items 63
Discussion 65
Counters of Abstract Unit Items 66
Integration 67
Tacit Integration 68
Counting Types Juxtaposed 70
Discussion 71
Summary 72
Comments and Notes to Chapter HI 74
IV APPLICATION OF THE THEORY OF COUNTING TYPES:
ADDITION AND SUBTRACTION
Leslie P. Steff e, Paul Cobb, and John
Richards 77
Addition 78
Extension 78
Counters of Perceptual Unit Items 78
Single collections 79
Two collections 80
Counters of Figural Unit Items 81
Single collections 81
Two collections 83
Counters of Motor Unit Items 84
Single collections 85
Breakdowns in intuitive extensions 87
Two collections 87
Counters of Verbal Unit Items 89
Single collections 89
Two collections 90
Counters of Abstract Unit Items 92
Partitioning numbers 95
Counting visually partitioned collections 96
Establishing single collections 97
Establishing two collections 98
Counting-on 99
Subtraction 102
Bidirectionality and Reversibility of Counting 102
Separating items from collections 104
Subtraction as an inversion of addition 106
x
Comments and Notes to Chapter IV 109
V PERSPECTIVES AND SUMMARY
John Richards, Leslie P. Steffe, and
Ernst von Glasersfeld 112
Perspective on the Construction of Number 112
Perspective on Constructivism and the Teaching
of Arithmetic 114
Summary of Counting Types 115
Counting Perceptual Unit Items 118
Counting Figurai Unit Items 119
Counting Motor Unit Items 119
Counting Verbal Unit Items 120
Counting Abstract Unit Items 120
Final Comments 122
APPENDIX - An Attentional Model for the Conceptual
Construction of Units and Number 124
REFERENCES 137
AUTHOR INDEX 145
SUBJECT INDEX 147
ABOUT THE AUTHORS 153
xi
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| spelling | Children's counting types philosophy, theory, and application Leslie P. Steffe ... New York, NY Praeger 1983 XVIII, 152 S. txt rdacontent n rdamedia nc rdacarrier Calcul Cognition chez l'enfant Concept de nombre chez l'enfant Psicologia educacional (educação) larpcal Counting Number concept in children Rechnen (DE-588)4048716-7 gnd rswk-swf Kind (DE-588)4030550-8 gnd rswk-swf Kind (DE-588)4030550-8 s Rechnen (DE-588)4048716-7 s DE-604 Steffe, Leslie P. Sonstige oth HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000074712&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
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| title | Children's counting types philosophy, theory, and application |
| title_auth | Children's counting types philosophy, theory, and application |
| title_exact_search | Children's counting types philosophy, theory, and application |
| title_full | Children's counting types philosophy, theory, and application Leslie P. Steffe ... |
| title_fullStr | Children's counting types philosophy, theory, and application Leslie P. Steffe ... |
| title_full_unstemmed | Children's counting types philosophy, theory, and application Leslie P. Steffe ... |
| title_short | Children's counting types |
| title_sort | children s counting types philosophy theory and application |
| title_sub | philosophy, theory, and application |
| topic | Calcul Cognition chez l'enfant Concept de nombre chez l'enfant Psicologia educacional (educação) larpcal Counting Number concept in children Rechnen (DE-588)4048716-7 gnd Kind (DE-588)4030550-8 gnd |
| topic_facet | Calcul Cognition chez l'enfant Concept de nombre chez l'enfant Psicologia educacional (educação) Counting Number concept in children Rechnen Kind |
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