The psychology of learning mathematics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Hillsdale, NJ u.a.
Erlbaum
1987
|
| Ausgabe: | Expanded American ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 218 S. |
| ISBN: | 0898598370 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804115155092504576 |
|---|---|
| adam_text | THE
PSYCHOLOGY
OF LEARNING
MATHEMATICS
Expanded American Edition
Richard R Skemp
Emeritus Professor, University of Warwick
LAWRENCE ERLBAUM ASSOCIATES, PUBLISHERS
1987 Hillsdale, New Jersey Hove and London
Contents
NOTES AND ACKNOWLEDGMENTS ix
PART A
INTRODUCTION AND OVERVIEW 3
We Still Have a Problem, 3
A Mental Journey Around the World, 5
Mathematics and Human Intelligence, 6
The School Situation, 7
Overview, 8
THE FORMATION OF MATHEMATICAL CONCEPTS 9
Abstracting and Classifying, 9
Naming, 12
The Communication of Concepts, 13
Concepts as a Cultural Heritage, 15
The Power of Conceptual Thinking, 17
The Learning of Mathematical Concepts, 18
Learning and Teaching, 21
THE IDEA OF A SCHEMA 22
The Integrative Function of a Schema, 24
Understanding, 29
Implications for the Learning of Mathematics, 33
INTUITIVE AND REFLECTIVE INTELLIGENCE 35
SYMBOLS 46
Communication, 47
Recording Knowledge, 50
The Communication of New Concepts, 53
Making Multiple Classification Straightforward, 55
Vi CONTENTS
Explanations, 56
Making Possible Reflective Activity, 57
Helping to Show Structure, 58
Making Routine Manipulations Automatic, 61
Recovering Information and Understanding, 62
Creative Mental Activity, 64
DIFFERENT KINDS OF IMAGERY 66
Visual Symbols and Verbal Symbols, 66
The Two Systems in Conjunction, 76
The Two Systems Compared, 79
Hemispheric Specialization, 81
INTERPERSONAL AND EMOTIONAL FACTORS 83
What Criterion? 84
Rules Without Reasons, 86
Two Kinds of Authority, 87
Benefits of Discussion, 88
Anxiety and Higher Mental Activity, 91
Motivations for Learning, 95
PART B
A NEW MODEL OF INTELLIGENCE 101
Teachers and Learners, 101
Habit Learning and Intelligent Learning, 102
When Is a Stimulus Not a Stimulus? 103
Goal-Directed Action, 104
Survival, Adaptability, and Evolution, 104
Director Systems, 105
Goal-Directed Learning, 106
Goals of Intelligent Learning, 107
Schema Construction, 109
Uses of Our Schemas, 111
FROM THEORY INTO ACTION:
KNOWLEDGE, PLANS, AND SKILLS 115
Knowledge, 115
Why Knowledge Must Be Conceptual, 116
CONTENTS Vli
A Resonance Model, 118
Associative Links and Conceptual Links, 119
Other Names for Schemas, 121
Plans, 125
Skills: Being Able, 126
TYPE 1 THEORIES AND TYPE 2 THEORIES:
FROM BEHAVIORISM TO CONSTRUCTIVISM 12B
Type 1 Theories and Type 2 Theories, 129
Theories and Methodologies, 130
Type 1 Methodologies and Type 2 Methodologies, 132
Methodologies in the Natural Sciences, 132
Methodologies Used in Mathematics Education Research,
Teaching Experiments, 138
MATHEMATICS AS AN ACTIVITY
OF OUR INTELLIGENCE 142
Uses of Our Mathematical Schemas, 142
What Kind of Theory Is Mathematics? 149
RELATIONAL UNDERSTANDING
AND INSTRUMENTAL UNDERSTANDING 152
Faux Amis 152
Devil s Advocate, 158
A Theoretical Formulation, 161
GOALS OF LEARNING
AND QUALITIES OF UNDERSTANDING 164
A New Model of Intelligence, 164
How Many Kinds of Understanding Can We Usefully
Distinguish? 165
Schemas and the Goals of Learning, 167
The Intuitive/Reflective Dimension, 172
COMMUNICATING MATHEMATICS
SURFACE STRUCTURES AND DEEP STRUCTURES 177
Viii CONTENTS
SYMBOLIC UNDERSTANDING
EMOTIONS AND SURVIVAL IN THE CLASSROOM
Do Emotions Have a Useful Function? 189
Mixed Emotions, 194
MANAGING THE RISKS IN LEARNING
Confidence and Frustration Tolerance 200
Confidence and Understanding, 203
Peer-Group Interaction in Learning, 205
THE SILENT MUSIC OF MATHEMATICS
REFERENCES
AUTHOR INDEX
SUBJECT INDEX
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| author_variant | r r s rr rrs |
| building | Verbundindex |
| bvnumber | BV000705538 |
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| ctrlnum | (OCoLC)635835507 (DE-599)BVBBV000705538 |
| discipline | Mathematik |
| edition | Expanded American ed. |
| format | Book |
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| indexdate | 2024-07-09T15:18:07Z |
| institution | BVB |
| isbn | 0898598370 |
| language | English |
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| spelling | Skemp, Richard R. Verfasser aut The psychology of learning mathematics Expanded American ed. Hillsdale, NJ u.a. Erlbaum 1987 IX, 218 S. txt rdacontent n rdamedia nc rdacarrier Mathematikunterricht (DE-588)4037949-8 gnd rswk-swf Methode (DE-588)4038971-6 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematikstudium (DE-588)4037947-4 gnd rswk-swf Lernpsychologie (DE-588)4074166-7 gnd rswk-swf Psychologie (DE-588)4047704-6 gnd rswk-swf Unterrichtspsychologie (DE-588)4187083-9 gnd rswk-swf Mathematik (DE-588)4037944-9 s Methode (DE-588)4038971-6 s Psychologie (DE-588)4047704-6 s 1\p DE-604 Lernpsychologie (DE-588)4074166-7 s Mathematikstudium (DE-588)4037947-4 s Mathematikunterricht (DE-588)4037949-8 s 2\p DE-604 Unterrichtspsychologie (DE-588)4187083-9 s 3\p DE-604 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000440566&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Skemp, Richard R. The psychology of learning mathematics Mathematikunterricht (DE-588)4037949-8 gnd Methode (DE-588)4038971-6 gnd Mathematik (DE-588)4037944-9 gnd Mathematikstudium (DE-588)4037947-4 gnd Lernpsychologie (DE-588)4074166-7 gnd Psychologie (DE-588)4047704-6 gnd Unterrichtspsychologie (DE-588)4187083-9 gnd |
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| title | The psychology of learning mathematics |
| title_auth | The psychology of learning mathematics |
| title_exact_search | The psychology of learning mathematics |
| title_full | The psychology of learning mathematics |
| title_fullStr | The psychology of learning mathematics |
| title_full_unstemmed | The psychology of learning mathematics |
| title_short | The psychology of learning mathematics |
| title_sort | the psychology of learning mathematics |
| topic | Mathematikunterricht (DE-588)4037949-8 gnd Methode (DE-588)4038971-6 gnd Mathematik (DE-588)4037944-9 gnd Mathematikstudium (DE-588)4037947-4 gnd Lernpsychologie (DE-588)4074166-7 gnd Psychologie (DE-588)4047704-6 gnd Unterrichtspsychologie (DE-588)4187083-9 gnd |
| topic_facet | Mathematikunterricht Methode Mathematik Mathematikstudium Lernpsychologie Psychologie Unterrichtspsychologie |
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