Knowing and teaching elementary mathematics: teachers' understanding of fundamental mathematics in China and the United States
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Routledge
2010
|
| Edition: | Anniversary ed. |
| Series: | Studies in mathematical thinking and learning
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and indexes |
| Physical Description: | XXXIV, 194 S. graph. Darst. 24 cm |
| ISBN: | 9780415873833 0415873835 9780415873840 0415873843 9780203856345 0203856341 |
Staff View
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 Studies in mathematical thinking and learning | |
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Record in the Search Index
| _version_ | 1804143895938859008 |
|---|---|
| adam_text | Contents
Author s Preface to the Anniversary Edition
xi
Series Editor s Introduction to the Anniversary Edition
xvi
A Note about the Anniversary Edition
xviii
Foreword
xix
Acknowledgments
xxiii
Introduction
xxvi
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
ix
χ
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
New to the Anniversary Edition: Fang and Paine s Bridging Polarities:
How Liping Ma s Knowing and Teaching Mathematics Entered the U.S.
Mathematics and Mathematics Education Discourses
161
New to the Anniversary Edition: Ma s Response to Bridging Polarities
186
Author Index
189
Subject Index
191
|
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| dewey-tens | 370 - Education |
| discipline | Pädagogik Mathematik |
| edition | Anniversary ed. |
| format | Book |
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| geographic | USA |
| geographic_facet | USA |
| id | DE-604.BV037271844 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:54:56Z |
| institution | BVB |
| isbn | 9780415873833 0415873835 9780415873840 0415873843 9780203856345 0203856341 |
| language | English |
| lccn | 2009049390 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-021184796 |
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| owner | DE-473 DE-BY-UBG DE-11 |
| owner_facet | DE-473 DE-BY-UBG DE-11 |
| physical | XXXIV, 194 S. graph. Darst. 24 cm |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Routledge |
| record_format | marc |
| series2 | Studies in mathematical thinking and learning |
| spelling | Ma, Liping Verfasser (DE-588)139573933 aut Knowing and teaching elementary mathematics teachers' understanding of fundamental mathematics in China and the United States Liping Ma Anniversary ed. New York [u.a.] Routledge 2010 XXXIV, 194 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Studies in mathematical thinking and learning Includes bibliographical references and indexes Mathematik Mathematics Study and teaching (Elementary) United States Mathematics Study and teaching (Elementary) China Comparative education Schulmathematik (DE-588)4153188-7 gnd rswk-swf USA Schulmathematik (DE-588)4153188-7 s DE-604 Digitalisierung UB Bamberg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021184796&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 Mathematik Mathematics Study and teaching (Elementary) United States Mathematics Study and teaching (Elementary) China Comparative education 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 | Mathematik Mathematics Study and teaching (Elementary) United States Mathematics Study and teaching (Elementary) China Comparative education Schulmathematik (DE-588)4153188-7 gnd |
| topic_facet | Mathematik Mathematics Study and teaching (Elementary) United States Mathematics Study and teaching (Elementary) China Comparative education Schulmathematik USA |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021184796&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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