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DOCUMENT RESUME ED 347 063 SE 052 129 TITLE Renewing U.S. Mathematics: A Plan for the 1990s. INSTITUTION Nationaa Academy of Sciences- National Research Council, Washington, DC. Commission of Physical Sciences, Mathematics, and Applications. REPORT NO IS8N-0-309-0428-3 PUB DATE Apr 90 Cfw-RACT DMS-8821296 143p. AVAILABLE FPOM Nationaa Academy Press, 2101Constitution Avenue, NU, Washington, DC 20418 ($15.00United States; $18.00 overseas). PUB TYPE Reports - Descriptive (141)-- Reports - Evaluative/Feasibility (142) EDRS PRICE MF01 Plus Postage. PC Nat Available from EDRS. DESCRIPTOR.; 'College Mathematics; Educational Improvement; Educational Needs; Iducational Objectives; Excellence in Education; Federal Aid; Federal Programs; "Financial Support; Governnent Role; *Government School Relationship; Higher Education; 'Mathematics Education; National Programs; Postsecondary Education; Public Agencies; Public Policy; Public Support; Research Opportunities; "Research Utilization; Scientific Research IDENTIFIERS 'Research amd Graduate Training Facilities; Research Curriculum; Research Integration; Research Priorities ABSTRACT As requested by the National Science Foundation (NSF) and the Interagency committee for ExtranuraaMathematics Programs (ICEMAP), this report updates the 1984 Report knownas the "David Report." Specifically, the charge directedthe committee to (1) update that report, describing the infrascruccure andsupport for U.S. mathenatical sciences research; (2)assess trends and progress over the intervening five years against the recommendationsof the 1984 Report; (3) brieflyassess the field scientifically and identify significant opportunities for research, includingcross-disciplinary collaboration; and (4) make appropriate recoamendatiousdea4ned to ensure that U.S. mathematical sciences research will meet national needs in coming years. Of the severalComponents of the mathematical sciences community requiring action, its welispring--university research departments--is the primary focus of thisreport. The progress and promise of research--described in the 1984Report relative to theoretical development, new applications,and the refining and deepenimg of oll applications --have ifanything increased since 1984, making mathematics researchever more valuable to other sciences and technology. Althoughsome prcgress has been made since 1984 in the support for mathematicalsciences research, the goals set in the 1984 Report have not beenachieved. Practically all of the increase in funding has gone into buildingthe infractructure, which had deteriorated badly by 1984.While graduate and postdoctoral research, computerfacilities, and new institutes have benefited from increased resources, scae ofthese areas are still undersupported by the standards of othersciences. And in the area of research support for individual investigators,almost no progress has been made. A critical storage of qualifiedmathematical sciences researchers still looms, held at bay forthe moment by a large influx of foreign researchers,an uncertain solution in the longer term. While government has respondedsubstantially to the 1984 Report's recommendations, particularly in thesupport of infrastructure, the universities generally havenot, so that the academic foundations of the mathematical sciencesresearch enterprise are as shaky now as in 1984. The greatetprogress has been made in the mathematics sciences community, whosemembers have shown a growing awareness of the problems confronting theirdiscipline and increased interest in dealing with the problems,particularly in regard to communication with the public andgovernment agencies and involvement in education. (AA) Renewing Mathematics `11111111MINW A PLAN FOR THE 1990s "PERMISSION TO REPRODUCE THIS MATERIAL INMICROFICHE ONLY HAS SEEN GRANTED BY Kathylynn Rarranro TO THE EDUCATIONAL RESOUR(;:S INFOIVAATION CENTER (ERIC). U.S DEPART/SEPT*, EDUCATION Over p1 Ettarr.alchel ROW lech end Inipm.smen? E VLICATIONAL RESOURCES INfORMATION CENTER tEMC3 This eccorne41 hag been ,epiOduCtett as ,eCe.vee tram the person m organs: s hoe. or ynahrgo 111,no, chaniog hare been made 1t) ,Thp.r ,ep.oeuthon AD. ME Of 0, OlYn+Orti state(' t)'sS dOC men1 Op Mt 1 f*CeSSalliv epreDernethClat Of Pt poset, .1% at Dow, Board on Mathematical Sciences National Research Council BEST COPY AVAI LE The National Research Courwil established dm Board on Mathematical Sciences in 1984. The objectives of the Boanl air to maintain awareness and active concern for the health of the mathanatical sciences and to serve as the focal milt in the National Research Council for issues affecting the mathematical sciences. The Board holds symposia and workshops and prepares reports on emerging issues and turas of research, conducts studies for fekral agemies, and maintains liaison with the mathematical sciences communi- ties, academia, professional societies, and industry. The Board on Mathanatical Sciences gratefully acknowl- edges ongoing core !Almon arK1 cuppon for this study from the following federal agencies of ICEMAP (Interagency Committee for Extramural Mathematics Programs): Air Force Office of Scientific Research Army Research Office Depanment of Energy National Science Foundation National Security Agency Office of Naval Research The Board gratefully acknowledges support from the National Research Council for the dissemination of this report. 3 Renewing U.S. Mathematics 1111111111111M=111011111111111111OW A PLAN FOR THE 1990s Committee on the Mathematical Sciences: Status and Future Directions Board on Mathematical Sciencft Commission on Physical Sciences, Mathematics, andApplications National Research Council NATIONAL ACADEMY PRESS Washington, D.C. 1990 't4 Nana!: The project that I. the subject of this report was approved by the Governing Board of the National Remora Council, whose members are drawn from the councils of the National Academy of Sciences, the National Academy of Engineering, and the Institute of Medicine. The mambos of the committee responsible for this report ware chemist ftw their special cmnpetencm with regard for appropriate balance. This report has been reviewed by a group other than the authors according hi procedures approved by a Report Review Committee =misting of members of the National Academy of Sciences, the National Arvienty of Engineering, and the Institut. of Medicine. The National Academy of kierICUI is a private, nonprofit, self-perpetuating society of distinguished scholars engaged in scientific and engineering research, dedkated to the furtherance of science and technology and to their use for the general welfare. Upon the authority of the charter granted to it by the Cringes= in 1863, the Academy has a mandate that requires it to advise the federal govern- ment on scientific and technkal matters. Dr. Frank Press is president of the National Academy of Sciences. The National Academy of Engineering was established in 1964, under the charter of the National Academy of Sciences, as a parallel organization of outstanding engineers. It is autonomous in its administration and in the selection of its members, sharing with the National Academy of Sciences the responsibility for advising the federal government. The National Academy of Engineering also sponsors engineering programs aimed at meeting national needs, encourages education and re- search, and recognizes the superior achievements of engineers. Dr. Robert M. White is president of the National Academy of Engineering. The Institute of Medicine was established it% 1970 by the National Academy of Sciences to secure the services of anther t members ei appropriate prvfessions in the mandnation of policy smitten per- tainihg to the health of the public. The Institute acts under the responsibility given to the National Academy of Sciences by its congressional charier to be an adviser to the federal government and, upon its own initiative, to identify issues of medical care, research, and education. Dr. Samuel O. Thier is president of the Inctitute of Medicine The National Research Council was organized by the National Academy of Sciences in 1916 to associate the broad community of science and technoloav with the Academy's purposes of further- ing knowledge and advising the federal government.Functioning in accordance with general policies determined by the Academy. the Countil has become the principal operating agency of both thc National Academy of Sciences and the National Academy of Engineering in providing services to the government, the public, and the scientific arid engineering communities. The Council is administered jointly by both Academies and the Institute of Medicine.Dr. Frank Press and Or. Robert M. White are chairman and vice chairman, respectively, of the National Research Council. Support for this project was provided by the Air ForOffice of Scientific Research, the Army Research Office, the Department of Energy, the National Science Foundation, the National Security Agency, and the Office of Naval Research under contract number DM54821296. Library of Congress Catalog Card Number 9040044 International Standard Book Number 0-309-04228-3 Available from National Academy Press 2101 Constitution Avenue, NW Washington, DC 20418 S109 Printed in the United States of America Summaries of this report are available from the Board on Mathematical Sciences, National Research Cmincii, 2101 Constitution Avenue. NW, Washington, DC 20418. NATIONAL RESEARCH COUNCIL 4..CINSTI1I310% WAMIIM.10N, 0 C :111418 FICE Of THE CHAIRMAN This report, Renewing U.S. Mathematics: A Plan