المحتويات / النص
|
Contents
Preface. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xi
Part 1: Foundations for Teaching
1. Equity in Mathematics Education Is about Access . . . . . . . . . . . . . . . . . 1
CAROL MALLOY
University of North Carolina at Chapel Hill
Chapel Hill, North Carolina
2. Developing a Well-Articulated Algebra Curriculum: Examples
from the NCTM Academy for Professional Development. . . . . . . . . . 15
JENNIFER M. BAY-WILLIAMS
Kansas State University
Manhattan, Kansas
ELIZABETH M. SKIPPER
National Council of Teachers of Mathematics
Reston, Virginia
SUSAN K. EDDINS
Illinois Mathematics and Science Academy
Aurora, Illinois
3. What Makes a Mathematical Task Worthwhile? Designing a
Learning Tool for High School Mathematics Teachers. . . . . . . . . . . . . 27
FRAN ARBAUGH
University of Missouri—Columbia
Columbia, Missouri
CATHERINE A. BROWN
Indiana University—Bloomington
Bloomington, Indiana
vi CONTENTS
4. Mathematical Foundations for a Functions-Based Approach
to Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42
M. KATHLEEN HEID
The Pennsylvania State University
University Park, Pennsylvania
ROSE MARY ZBIEK
The Pennsylvania State University
University Park, Pennsylvania
GLENDON W. BLUME
The Pennsylvania State University
University Park, Pennsylvania
5. Language Pitfalls and Pathways to Mathematics. . . . . . . . . . . . . . . . . . 56
CARNE BARNETT-CLARKE
WestEd
Oakland, California
ALMA RAMIREZ
WestEd
Oakland, California
Part 2: The Enactment of Teaching
6. Mathematics Teaching in Grades K–2: Painting a Picture of
Challenging, Supportive, and Effective Classrooms . . . . . . . . . . . . . . . 67
BARBARA CLARKE
Monash University
Melbourne, Victoria, Australia
DOUG CLARKE
Australian Catholic University
Melbourne, Victoria, Australia
7. The NCTM Standards in a Japanese Primary School Classroom:
Valuing Students’ Diverse Ideas and Learning Paths . . . . . . . . . . . . . . 82
AKI MURATA
Mills College
Oakland, California
NAOYUKI OTANI
Midori Elementary School
Oyama-shi, Tochigi-ken, Japan
NOBUAKI HATTORI
Udo Elementary School #2
Shimizu-shi, Shizuoka-ken, Japan
KAREN C. FUSON
Northwestern University
Evanston, Illinois
vii CONTENTS
8. Beyond Presenting Good Problems: How a Japanese Teacher
Implements a Mathematics Task . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96
MARGARET SMITH
Iona College
New Rochelle, New York
9. Teaching to Develop Students as Learners . . . . . . . . . . . . . . . . . . . . . . 107
DEBRA I. JOHANNING
Michigan State University
East Lansing, Michigan
TERI KEUSCH
Portland Middle School
Portland, Michigan
10. Enlarging the Learning Community through Family Mathematics . . 117
PHYLLISWHITIN
Wayne State University
Detroit, Michigan
11. Building a Mathematical Community through Problem Posing . . . 129
DAVID J. WHITIN
Wayne State University
Detroit, Michigan
12. Promoting Equity in Mathematics Education through Effective,
Culturally Responsive Teaching. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141
JOAN COHEN JONES
Eastern Michigan University
Ypsilanti, Michigan
Part 3: Support of Teaching
13. Enhancing the Mathematical Understanding of Prospective
Teachers: Using Standards-Based, Grades K–12 Activities . . . . . . . . 151
CHARLENE E. BECKMANN
Grand Valley State University
Allendale, Michigan
PAMELA J. WELLS
Grand Valley State University
Allendale, Michigan
JOHN GABROSEK
Grand Valley State University
Allendale, Michigan
ESTHER M. H. BILLINGS
Grand Valley State University
Allendale, Michigan
EDWARD F. ABOUFADEL
Grand Valley State University
Allendale, Michigan
PHYLLIS CURTISS
Grand Valley State University
Allendale, Michigan
WILLIAM DICKINSON
Grand Valley State University
Allendale, Michigan
DAVID AUSTIN
Grand Valley State University
Allendale, Michigan
ALVERNA CHAMPION
Grand Valley State University
Allendale, Michigan
14. Promoting Content Connections in Prospective Secondary
School Teachers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 164
IRENE BLOOM
Arizona State University
Tempe, Arizona
15. Facilitating Teachers’ Growth in Content Knowledge . . . . . . . . . . . . 180
KATHLEEN CRAMER
University of Minnesota—Twin Cities
Minneapolis, Minnesota
16. Embracing the Complexity of Practice as a Site for Inquiry . . . . . . . 195
THERESA J. GRANT
Western Michigan University
Kalamazoo, Michigan
KATE KLINE
Western Michigan University
Kalamazoo, Michigan
17. The Reflective Teaching Model: A Professional Development
Model for In-Service Mathematics Teachers . . . . . . . . . . . . . . . . . . . . 207
LYNN C. HART
Georgia State University
Atlanta, Georgia
DEBORAH NAJEE-ULLAH
Georgia State University
Atlanta, Georgia
KAREN SCHULTZ
Georgia State University
Atlanta, Georgia
18. Encouraging Professional Growth and Mathematics Reform
through Collegial Interaction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 219
P. MARK TAYLOR
University of Tennessee
Knoxville, Tennessee
19. Developing a Support System for Teacher Change in
Mathematics Education: The Principal’s Role. . . . . . . . . . . . . . . . . . . 229
PATRICIA A. JABERG
Mount Mary College
Milwaukee, Wisconsin
CHERYL A. LUBINSKI
Illinois State University
Normal, Illinois
SIGRID AESCHLEMAN
Sowers Elementary School
Roanoke, Illinois
viii CONTENTS
ix
20. A Tool for the Teaching Principle: Professional Development
through Assessment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 239
SANDRAWILCOX
Michigan State University
East Lansing, Michigan
ELIZABETH M. JONES
Lansing School District
Lansing, Michigan, and
Michigan State University
East Lansing, Michigan
21. Teaching Mathematics with Technology: An Evidence-Based
Road Map for the Journey . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 259
KAREN HOLLEBRANDS
North Carolina State University
Raleigh, North Carolina
ROSE MARY ZBIEK
The Pennsylvania State University
University Park, Pennsylvania
22. Teachers Teaching Teachers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 271
JANETWARFIELD
Illinois State University
Normal, Illinois
CHERYL A. LUBINSKI
Illinois State University
Normal, Illinois
CONTENTS
|