Standards-based Mathematics Assessment In Middle School: Rethinking Classroom Practice (ways Of Knowing In Science And Mathematics)

Ways of Knowing in Science and Mathematics Series RICHARD DUSCHL, SERIES EDITOR ADVISORY BOARD: Charles W. Anderson, Raffaella Borasi, Nancy Brickhouse, Marvin Druger, Eleanor Duckworth, Peter Fensham, William Kyle, Roy Pea, Edward Silver, Russell Yeany Standards-Based Mathematics Assessment in Middle School: Rethinking Classroom Practice THOMAS A. ROMBERG, EDITOR Mathematical Development in Young Children: Exploring Notations BÁRBARA M. BRIZUELA Inside Science Education Reform: A History of Curricular and Policy Change J MYRON ATKIN AND PAUL BLACK Connecting Girls and Science: Constructivism, Feminism, and Science Education Reform ELAINE V. HOWES Investigating Real Data in the Classroom: Expanding Children’s Understanding of Math and Science RICHARD LEHRER AND LEONA SCHABLE, EDITORS Free-Choice Science Education: How We Learn Science Outside of School JOHN H. FALK, EDITOR Science Teaching/Science Learning: Constructivist Learning in Urban Classrooms ELNORA S. HARCOMBE How Students (Mis-)Understand Science and Mathematics: Intuitive Rules RUTH STAVY AND DINA TIROSH Reading Counts: Expanding the Role of Reading in Mathematics Classrooms RAFFAELLA BORASI AND MARJORIE SIEGEL Transforming Middle School Science Education PAUL DEHART HURD Designing Project-Based Science: Connecting Learners Through Guided Inquiry JOSEPH L. POLMAN Implementing Standards-Based Mathematics Instruction: A Casebook for Professional Development MARY KAY STEIN, MARGARET SCHWAN SMITH, MARJORIE A. HENNINGSEN, AND EDWARD A. SILVER The New Science Teacher: Cultivating Good Practice DEBORAH TRUMBULL Problems of Meaning in Science Curriculum DOUGLAS A. ROBERTS AND LEIF ÖSTMAN, EDITORS Inventing Science Education for the New Millennium PAUL DEHART HURD Improving Teaching and Learning in Science and Mathematics DAVID F. TREAGUST, REINDERS DUIT, AND BARRY J. FRASER, EDITORS Reforming Mathematics Education in America’s Cities: The Urban Mathematics Collaborative Project NORMAN L. WEBB AND THOMAS A. ROMBERG, EDITORS What Children Bring to Light: A Constructivist Perspective on Children’s Learning in Science BONNIE L. SHAPIRO STS Education: International Perspectives on Reform JOAN SOLOMON AND GLEN AIKENHEAD, EDITORS Reforming Science Education: Social Perspectives and Personal Reflections RODGER W. BYBEE Standards-Based Mathematics Assessment in Middle School Rethinking Classroom Practice THOMAS A. ROMBERG EDITOR Teachers College, Columbia University New York and London Published by Teachers College Press, 1234 Amsterdam Avenue, New York, NY 10027 Copyright © 2004 by Teachers College, Columbia University All rights reserved. No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, or any information storage and retrieval system, without permission from the publisher. Library of Congress Cataloging-in-Publication Data Standards-based mathematics assessment in middle school : rethinking classroom practice / edited by Thomas A. Romberg. p. cm. — (Ways of knowing in science and mathematics series) Includes bibliographical references and index. ISBN 0-8077-4482-4 (acid-free paper)—ISBN 0-8077-4481-6 (pbk. : acid-free paper) 1. Mathematics—Study and teaching (Middle school)—United States—Evaluation. 2. Educational evaluation—United States. I. Romberg, Thomas A. II. Series. QA13.S7 2004 510'.71'273—dc22 2