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0883-9530 Js^T~~~~~ -g ~~~~~~ISSN Journal 1i._ lResearch Mathematics Education The Recognizing and Recording Reform in Mathematics Education Project: Insights, Issues, and Implications Monograph Number 8 National Council of Teachers of Mathematics A MonographSeries of the National Council of Teachersof Mathematics The JRME Monograph Series is published by the Editorial Panel as a supplement to the journal. Each monograph has a single theme related to the learning or teaching of mathematics. To be considered for publication, a manuscript should be (a) a set of reports of coordinated studies, (b) a set of articles synthesizing a large body of research, (c) a single treatise that examines a major research issue, or (d) a reportof a single research study that is too lengthy to be published as a journal article. Any person wishing to submit a manuscript for considerationas a monographshould send four copies of the complete manuscript to the monograph series editor. Manuscripts should be no longer than 200 double-spaced, typewritten pages. The name, affiliations, and qualifications of each contributing authorshould be included with the manuscript. Manuscriptsshould be sent to Douglas A. Grouws University of Iowa N259 LindquistCenter Iowa City, IA 52242 Series Editor DOUGLAS A. GROUWS, Universityof Iowa, Iowa City, IA 52242 Editorial Panel JERRY P. BECKER, Southern Illinois University at Carbondale,Board Liaison; JERE CONFREY,Cornell University;LAURIED. EDWARDS, Universityof Californiaat Santa Cruz;JOE GAROFALO,Universityof Virginia; ANNA O. GRAEBER, University of Maryland at College Park;NEIL A. PATEMAN, University of Hawaii; EDWARD A. SILVER, Universityof Pittsburgh; WILLIAM TATE, University of Wisconsin; STEVEN R. WILLIAMS,BrighamYoung University; ERNA YACKEL,Chair,PurdueUniversity-Calumet Journal Staff LINDA P. ROSEN, Executive Director; HARRY B. TUNIS, Director of Publications; ANDY REEVES, Directorof EditorialServices;JEAN T. CARPENTER, ManagingEditor;JACQUELINEM. OLKIN, Editorial Associate; KRISTINACURRIN, ProductionAssistant; CYNTHIAC. ROSSO, Directorof MarketingServices; TOM PEARSON, Advertising Manager;SANDRA S. BELSLEY,AdvertisingSecretary The Recognizing and Recording Reform in Mathematics Education Project: Insights, Issues, and Implications edited by JoanFerrini-Mundy and Thomas Schram National Council of Teachersof Mathematics Copyright? 1997 by THE NATIONALCOUNCILOF TEACHERSOF MATHEMATICS,INC. 1906 Association Drive, Reston, Virginia20191-1593 All rightsreserved Libraryof CongressCataloging-in-PublicationData: ISBN: 0-87353-433-6 The publications of the National Council of Teachers of Mathematics present a variety of viewpoints. The views expressed or implied in this publication,unless otherwise noted, should not be interpretedas official positions of the Council. Printedin the United States of America Table of Contents Authors ....................................................... iv Acknowledgments................................................v ................................ Abstract ....................... vi Introduction The Recognizing and RecordingReform in MathematicsEducationProject ................................. Joan Ferrini-Mundy Goals and ConceptualFramework Chapter1 Joan Ferrini-Mundyand Karen Graham ................. Cross-DisciplinaryTeamingin Researchon Mathematics Chapter2 Reform:Evolutionof Process and Perspective ThomasSchramand GeoffreyMills .................... InstitutionalizingMathematicsEducationReform: Chapter3 Vision, Leadership,and the Standards Beverly Ferrucci ................................... WalkingTogetheron SeparatePaths: Chapter4