Beyond Classical Pedagogy: Teaching Elementary School Mathematics

by Wood; Terry

• ISBN13: 9780805835717
• ISBN10: 0805835717
• Format: Nonspecific Binding
• Copyright: 2001-05-01
• Publisher: Routledge

Summary

Part I: Setting the Stage and Raising Issues. B.S. Nelson J. Warfield, T. Wood, Introduction D.L. Ball, Teaching, With Respect to Mathematics and Students. Part II: Teaching Viewed From a Psychological Perspective: Teaching as Entailing Teachers' Learning. T.P. Carpenter, E. Ansell, L. Levi, An Alternative Conception of Teaching for Understanding: Cases Studies of Two First-Grade Mathematics Classes. M.L. Franke, E. Kazemi, l Teaching as Learning Within a Community of Practice: Characterizing Generative Growth. M.G. Sherin, Developing a Professional Vision of Classroom Events. B. Jaworski, Commentary 1: Questions and Issues. Part III: Teaching Viewed From the Discipline of Mathematics. D. Schifter, Learning to See the Invisible: What Skills and Knowledge are Needed to Engage With Students' Mathematical Ideas? J. Warfield, Where Mathematics Content Knowledge Matters: Learning About and Building on Children's Mathematical Thinking. M.A. Simon, Two Intertwined Bodies of Work: Conducting Research on Mathematics Teacher Development and Elaborating Theory of Mathematics Teaching/Learning. B. Jaworski, Commentary 2: Issues and Questions. Part IV: Teaching Viewed From a Social and Cultural Perspective. T. Wood, T. Turner-Vorbeck, Extending the Conception of Mathematics Teaching. B. McNeal, Making Sense of Mathematics Teaching in Real Context. B. Jaworski, Commentary 3: Questions and Issues. Part V: What Do We Know About Teaching That Supports Students' Construction of Mathematical Knowledge and What is Still Under Debate? B.S. Nelson, Constructing Facilitiative Teaching. V. Richardson, Constructivist Mathematics Instruction and Current Trends in Research on Teaching. T. Wood, B.S. Nelson, J.Warfield, Final Remarks.

Table of Contents

Preface	ix
PART I: SETTING THE STAGE AND RAISING ISSUES
Introduction	5	(6)
Barbara Scott Nelson
Janet Warfield
Terry Wood
Teaching, With Respect to Mathematics and Students	11	(16)
Deborah Loewenberg Ball
PART II: TEACHING VIEWED FROM A PSYCHOLOGICAL PERSPECTIVE: TEACHING AS ENTAILING TEACHERS' LEARNING
An Alternative Conception of Teaching for Understanding: Case Studies of Two First-Grade Mathematics Classes	27	(20)
Thomas P. Carpenter
Ellen Ansell
Linda Levi
Teaching as Learning Within a Community of Practice: Characterizing Generative Growth	47	(28)
Megan Loef Franke
Elham Kazemi
Developing a Professional Vision of Classroom Events	75	(34)
Miriam Gamoran Sherin
Questions and Issues	95	(14)
Barbara Jaworski
PART III: TEACHING VIEWED FROM THE DISCIPLINE OF MATHEMATICS
Learning to See the Invisible: What Skills and Knowledge are Needed to Engage with Students' Mathematical Ideas?	109	(26)
Deborah Schifter
Where Mathematics Content Knowledge Matters: Learning About and Building on Children's Mathematical Thinking	135	(22)
Janet Warfield
Two Intertwined Bodies of Work: Conducting Research on Mathematics Teacher Development and Elaborating Theory of Mathematics Teaching/Learning	157	(28)
Martin A. Simon
Issues and Questions	171	(14)
Barbara Jaworski
PART IV: TEACHING VIEWED FROM A SOCIAL AND CULTURAL PERSPECTIVE
Extending the Conception of Mathematics Teaching	185	(24)
Terry Wood
Tammy Turner-Vorbeck
Making Sense of Mathematics Teaching in Real Contexts	209	(42)
Betsy McNeal
Questions and Issues	239	(12)
Barbara Jaworski
PART V: WHAT DO WE KNOW ABOUT TEACHING THAT SUPPORTS STUDENTS' CONSTRUCTION OF MATHEMATICAL KNOWLEDGE AND WHAT IS STILL UNDER DEBATE?
Constructing Facilitative Teaching	251	(24)
Barbara Scott Nelson
Constructivist Mathematics Instruction and Current Trends in Research on Teaching	275	(20)
Virginia Richardson
Final Remarks	295	(6)
Terry Wood
Barbara Scott Nelson
Janet Warfield
Author Index	301	(4)
Subject Index	305	(4)
Contributors	309