Knowing and teaching elementary mathematics: teachers' understanding of fundamental mathematics in China and the United States
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Mahwah, NJ [u.a.]
Lawrence Erlbaum
1999
|
| Schriftenreihe: | The studies in mathematical thinking and learning series
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XXV, 166 S. |
| ISBN: | 0805829083 0805829091 |
Internformat
MARC
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| 245 | 1 | 0 | |a Knowing and teaching elementary mathematics |b teachers' understanding of fundamental mathematics in China and the United States |c Liping Ma |
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| 490 | 0 | |a The studies in mathematical thinking and learning series | |
| 650 | 4 | |a Mathématiques - Étude et enseignement (Primaire) - Chine | |
| 650 | 4 | |a Mathématiques - Étude et enseignement (Primaire) - États-Unis | |
| 650 | 4 | |a Éducation comparée | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Comparative education | |
| 650 | 4 | |a Mathematics |x Study and teaching (Elementary) |z China | |
| 650 | 4 | |a Mathematics |x Study and teaching (Elementary) |z United States | |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
Foreword ix
Acknowledgments xiii
Introduction xvii
1. Subtraction With Regrouping: Approaches 1
To Teaching A Topic
The U.S. Teachers Approach: Borrowing
Versus Regrouping 2
The Chinese Teachers Approach: Decomposing
a Higher Value Unit 7
Discussion 21
Summary 26
2. Multidigit Number Multiplication: Dealing 28
With Students Mistakes
The U.S. Teachers Approach: Lining Up Versus
Separating Into Three Problems 29
The Chinese Teachers Approach: Elaborating
the Concept of Place Value 38
Discussion 52
Summary 54
3. Generating Representations: Division By Fractions 55
The U.S. Teachers Performance on Calculation 56
The Chinese Teachers Performance on Calculation 58
The U.S. Teachers Representations of Division
by Fractions 64
The Chinese Teachers Approach to the Meaning
of Division by Fractions 72
Discussion 80
Summary 82
vii
viii CONTENTS
4. Exploring New Knowledge: The Relationship 84
Between Perimeter And Area
How the U.S. Teachers Explored the New Idea 85
How the Chinese Teachers Explored the New Idea 90
Discussion 103
Summary 106
5. Teachers Subject Matter Knowledge: Profound 107
Understanding Of Fundamental Mathematics
A Cross Topic Picture of the Chinese Teachers Knowledge:
What Is Its Mathematical Substance? 108
Knowledge Packages and Their Key Pieces: Understanding
Longitudinal Coherence in Learning 113
Elementary Mathematics as Fundamental Mathematics 116
Profound Understanding of Fundamental Mathematics 118
Summary 123
6. Profound Understanding Of Fundamental Mathematics: 125
When And How Is It Attained
When Is Profound Understanding of Fundamental
Mathematics Attained?: What the Preteaching
Groups Knew About the Four Topics 126
Profound Understanding of Fundamental Mathematics:
How It Is Attained? 129
Summary 142
7. Conclusion 144
Address Teacher Knowledge and Student Learning
at the Same Time 146
Enhance the Interaction Between Teachers Study
of School Mathematics and How to Teach It 147
Refocus Teacher Preparation 149
Understand the Role That Curricular Materials,
Including Textbooks, Might Play in Reform 150
Understand the Key to Reform: Whatever the Form
of Classroom Interactions Might Be, They Must
Focus on Substantive Mathematics 151
Appendix 154
References 156
Author Index 161
Subject Index 163
|
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| discipline | Pädagogik Mathematik |
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| spelling | Ma, Liping Verfasser aut Knowing and teaching elementary mathematics teachers' understanding of fundamental mathematics in China and the United States Liping Ma Mahwah, NJ [u.a.] Lawrence Erlbaum 1999 XXV, 166 S. txt rdacontent n rdamedia nc rdacarrier The studies in mathematical thinking and learning series Mathématiques - Étude et enseignement (Primaire) - Chine Mathématiques - Étude et enseignement (Primaire) - États-Unis Éducation comparée Mathematik Comparative education Mathematics Study and teaching (Elementary) China Mathematics Study and teaching (Elementary) United States Schulmathematik (DE-588)4153188-7 gnd rswk-swf USA Schulmathematik (DE-588)4153188-7 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009466440&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ma, Liping Knowing and teaching elementary mathematics teachers' understanding of fundamental mathematics in China and the United States Mathématiques - Étude et enseignement (Primaire) - Chine Mathématiques - Étude et enseignement (Primaire) - États-Unis Éducation comparée Mathematik Comparative education Mathematics Study and teaching (Elementary) China Mathematics Study and teaching (Elementary) United States Schulmathematik (DE-588)4153188-7 gnd |
| subject_GND | (DE-588)4153188-7 |
| title | Knowing and teaching elementary mathematics teachers' understanding of fundamental mathematics in China and the United States |
| title_auth | Knowing and teaching elementary mathematics teachers' understanding of fundamental mathematics in China and the United States |
| title_exact_search | Knowing and teaching elementary mathematics teachers' understanding of fundamental mathematics in China and the United States |
| title_full | Knowing and teaching elementary mathematics teachers' understanding of fundamental mathematics in China and the United States Liping Ma |
| title_fullStr | Knowing and teaching elementary mathematics teachers' understanding of fundamental mathematics in China and the United States Liping Ma |
| title_full_unstemmed | Knowing and teaching elementary mathematics teachers' understanding of fundamental mathematics in China and the United States Liping Ma |
| title_short | Knowing and teaching elementary mathematics |
| title_sort | knowing and teaching elementary mathematics teachers understanding of fundamental mathematics in china and the united states |
| title_sub | teachers' understanding of fundamental mathematics in China and the United States |
| topic | Mathématiques - Étude et enseignement (Primaire) - Chine Mathématiques - Étude et enseignement (Primaire) - États-Unis Éducation comparée Mathematik Comparative education Mathematics Study and teaching (Elementary) China Mathematics Study and teaching (Elementary) United States Schulmathematik (DE-588)4153188-7 gnd |
| topic_facet | Mathématiques - Étude et enseignement (Primaire) - Chine Mathématiques - Étude et enseignement (Primaire) - États-Unis Éducation comparée Mathematik Comparative education Mathematics Study and teaching (Elementary) China Mathematics Study and teaching (Elementary) United States Schulmathematik USA |
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