Knowing and learning mathematics for teaching / Mathematics Teacher Preparation Content Workshop Program Steering Committee, Center for Education, Mathematical Sciences Education Board, National Research Council.

Format:

Book

Author/Creator:

National Research Council (U.S.). Mathematics Teacher Preparation Content Workshop Program Steering Committee.

Language:

English

Subjects (All):

Mathematics teachers--Training of--United States--Congresses.

Mathematics teachers.

Mathematics--Study and teaching--United States--Congresses.

Mathematics.

Mathematics--Study and teaching.

Mathematics teachers--Training of.

United States.

Genre:

Conference papers and proceedings.

Physical Description:

xiii, 217 pages : illustrations ; 28 cm

Place of Publication:

Washington, D.C. : National Academy Press, [2001]

Contents:

Teacher's Understanding of Fundamental Mathematics 11

Knowledge of Fundamental Mathematics for Teaching / Liping Ma, Cathy Kessel 12

Elementary Teachers and Essential Mathematical Knowledge / Mark Saul 17

What Is Fundamental Mathematics? / Genevieve Knight 20

Reconsidering the Mathematics That Teachers Need to Know 23

Investigating Teaching Practice: Setting the Stage 25

What Mathematical Knowledge Is Entailed in Teaching Children to Reason Mathematically? / Deborah Loewenberg Ball, Hyman Bass 26

Reaction to the Presentation by Deborah Ball and Hyman Bass / James Lewis 35

Investigating Teaching Practice: What Mathematical Knowledge, Skills, and Sensibilities Does It Take? 39

Analyzing Student Thinking / Virginia Bastable 40

Remodeling Mathematical Tasks / Olga G. Torres 49

Analyzing Student Work / Michaele F. Chappell 53

Managing Class Discussion / Erick Smith 60

What Kinds of Mathematical Knowledge Matter in Teaching? 65

Perspectives from a Mathematician / Alan Tucker 66

Perspectives from a Mathematics Educator / Deborah Schifter 69

Perspectives from the Community College / Gladys Whitehead 72

How Can Teachers Develop Such Mathematical Knowledge? 75

Investigating Alternative Approaches to Helping Teachers Learn Mathematics 77

Student Curriculum Materials: Japanese Teachers' Manuals / Shin-ying Lee 78

Student Curriculum Materials: Investigations in Number, Data, and Space / Marco Ramirez 86

Case Materials / Carne Barnett 90

Programs and Practices / Deborah Schifter, Virginia Bastable, Jill Bodner Lester 94

Video as a Delivery Mechanism / Bradford Findell, Deborah Loewenberg Ball 98

Promising Approaches for Helping Prospective Elementary Teachers Learn Mathematics for Teaching 105

Looking at Textbooks / Richard Askey 106

The Professional Growth of a Classroom Teacher / Carol Midgett 116

The Importance of Mathematical Content / Alice Gill 119

NSF and Teacher Preparation Programs / James Lightbourne 122

Where Are We? Moderator's Summary / Joan Ferrini-Mundy 125

Concluding Remarks: Deborah Loewenberg Ball 127

Discussion Group Reports 129

Appendix C Homework Problems 169

Appendix E Transcript of Ball Videos 174

Appendix F Explanation of the Unit on Weight 183

Appendix G Excerpts from Investigations 193

Appendix H Mathematics Case Methods Project 201.

Notes:

"Proceedings of a workshop"--Cover.

"This study was supported by Grant No. DUE-9706060 between the National Academy of Sciences and the National Science Foundation"--T.p. verso.

Includes bibliographical references.

ISBN:

0309072522

OCLC:

45964945