المحتويات / النص
|
Contents
Preface. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xi
DOUGLAS H. CLEMENTS
University at Buffalo, State University of New York
Buffalo, New York
Part 1: Elementary School
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
MICHELLE STEPHAN
Purdue University Calumet
Hammond, Indiana
JOANNE MENDIOLA
Herman Badillo Bilingual Academy 76
Buffalo, New York
1. Linear, Area, and Time Measurement in Prekindergarten to . . . . . . . . 3
Grade 2
MICHELLE STEPHAN
Purdue University Calumet
Hammond, Indiana
DOUGLAS H. CLEMENTS
University at Buffalo, State University of New York
Buffalo, New York
2. Understanding Children’s Developing Strategies and
Concepts for Length . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
JEFFREY E. BARRETT
Illinois State University
Normal, Illinois
GRAHAM JONES
Illinois State University
Normal, Illinois
CAROL THORNTON
Illinois State University
Normal, Illinois
SANDRA DICKSON
Parkside Elementary School
Normal, Illinois
vi CONTENTS
3. Making Connections with Powerful Ideas in the
Measurement of Length . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31
NICOLA YELLAND
RMIT University
Bundoora, Victoria, Australia
4. Developing the Building Blocks of Measurement with Young
Children . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
THERESA J. GRANT
Western Michigan University
Kalamazoo, Michigan
KATE KLINE
Western Michigan University
Kalamazoo, Michigan
5. Benchmarks as Tools for Developing Measurement Sense . . . . . . . . . 57
ELANA JORAM
University of Northern Iowa
Cedar Falls, Iowa
6. Assessing and Developing Measurement with Young Children . . . . . 68
DOUG CLARKE
Australian Catholic University
Melbourne, Victoria, Australia
JILL CHEESEMAN
Australian Catholic University
Melbourne, Victoria, Australia
ANDREA MCDONOUGH
Australian Catholic University
Melbourne, Victoria, Australia
BARBARA CLARK
Monash University
Melbourne, Victoria, Australia
7. Count Me into Measurement: A Program for the Early
Elementary School. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81
LYNNE OUTHRED
Macquarie University
Sydney, New South Wales, Australia
MICHAEL MITCHELMORE
Australian Centre for Educational Studies
Sydney, New South Wales, Australia
DIANE MCPHAIL
Department of Education and Training
Ryde, New South Wales, Australia
PETER GOULD
Department of Education and Training
Ryde, New South Wales, Australia
vii CONTENTS
8. Developing an Understanding of Measurement in the
Elementary Grades . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100
RICHARD LEHRER
University of Wisconsin—Madison
Madison, Wisconsin
LINDA JASLOW
Ed and Verma Pastor Elementary School
Phoenix, Arizona
CARMEN L. CURTIS
Country View Elementary School
Verona, Wisconsin
9. Understanding Students’ Thinking about Area and
Volume Measurement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122
MICHAEL T. BATTISTA
Kent State University
Kent, Ohio
10. Structuring a Rectangle: Teachers Write to Learn about Their
Students’ Thinking . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143
DEBORAH SCHIFTER
Educational Development Center
Newton, Massachusetts
JANICE SZYMASZEK
Smith College Campus School
Northampton, Massachusetts
11. About Students’ Understanding and Learning the Concept of
Surface Area . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 157
CINZIA BONOTTO
University of Padua
Padua, Italy
12. The Measurement of Time: Transitivity, Unit Iteration, and
Conservation of Speed . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 169
CONSTANCE K. KAMII
University of Alabama—Birmingham
Birmingham, Alabama
KATHY LONG
University of California at Berkeley
Berkeley, California
13. Bridging Yup’ik Ways of Measuring to Western Mathematics . . . . . 181
JERRY LIPKA
University of Alaska Fairbanks
Fairbanks, Alaska
TOD SHOCKEY
Mesa State College
Grand Junction, Colorado
BARBARA ADAMS
University of Alaska Fairbanks
Fairbanks, Alaska
Part 2: Secondary School
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 195
VERONICA MEEKS
Western Hills High School
Fort Worth, Texas
ROBERT F. WHEELER
Northern Illinois University
DeKalb, Illinois
14. What Students Know about Measurement: Perspectives
from the NAEP. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 197
MARILYN E. STRUTCHENS
Auburn University
Auburn, Alabama
W. GARY MARTIN
Auburn University
Auburn, Alabama
PATRICIA ANN KENNEY
University of Michigan—Ann Arbor
Ann Arbor, Michigan
15. Providing Opportunities for Students and Teachers to
“Measure Up”. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 209
MELISSA BOSTON
University of Pittsburgh
Pittsburgh, Pennsylvania
MARGARET SMITH
University of Pittsburgh
Pittsburgh, Pennsylvania
viii CONTENTS
ix
16. Measuring Montana: An Episode in Estimation . . . . . . . . . . . . . . . . . 221
TED HODGSON
Montana State University—Bozeman
Bozeman, Montana
LINDA SIMONSEN
Montana State University—Bozeman
Bozeman, Montana
JENNIFER LUBEK
Montana State University—Bozeman
Bozeman, Montana
LYLE ANDERSON
Montana State University—Bozeman
Bozeman, Montana
17. Estimation at Work . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 231
THOMASENIA LOTT ADAMS
University of Florida
Gainesville, Florida
GREGORY HARRELL
Valdosta State University
Valdosta, Georgia
18. Exploring Measurement Concepts through Literature: Natural
Links across Disciplines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 247
RICHARD AUSTIN
University of South Florida
Tampa, Florida
DENISSE THOMPSON
University of South Florida
Tampa, Florida
CHARLENE BECKMANN
Grand Valley State University
Allendale, Michigan
19. Using the Geoboard to Enhance Measurement Instruction in
the Secondary School Mathematics Classroom . . . . . . . . . . . . . . . . . 258
BARBARA A. BURNS
Canisius College
Buffalo, New York
GAIL A. BRADE
University at Buffalo, State University of New York
Buffalo, New York
20. Using Measurement to Develop Mathematical Reasoning at
the Middle and High School Levels. . . . . . . . . . . . . . . . . . . . . . . . . . . . 273
MARY C. ENDERSON
Middle Tennessee State University
Murfreesboro, Tennessee
CONTENTS
x
21. Is Our Teaching Measuring Up? Race-, SES-, and Gender-Related
Gaps in Measurement Achievement . . . . . . . . . . . . . . . . . . . . . . . . . . . 282
SARAH T. LUBIENSKI
Iowa State University
Ames, Iowa
22. Measurement, Representation, and Computer Models of Motion. . 293
CHRISTOPHER HARTMANN
University of Wisconsin—Madison
Madison, Wisconsin
JEFFREY CHOPPIN
University of Wisconsin—Madison
Madison, Wisconsin
23. Measuring the Unmeasurable: Using Technology to Study
the Irrational . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 304
MAURICE BURKE
Montana State University—Bozeman
Bozeman, Montana
24. Measurement in Adult Education: Starting with Students’
Understandings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 318
MYRIAM STEINBACK
TERC
Cambridge, Massachusetts
MARY JANE SCHMITT
TERC
Cambridge, Massachusetts
MARTHA MERSON
TERC
Cambridge, Massachusetts
ESTHER LEONELLI
Notre Dame Education Center
South Boston, Massachusetts
CONTENTS
|