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-IT r. - ~ . fir 1001001 Deborah Loewenberg BaU is a professor of educational studies at the University of Michigan and currently serves on the Mathematical Sciences Education Board (MSEB), was a member of the Commis- sion on Behavioral and Social Sciences and Education, and also the Glenn Com- mission. Her work as a researcher and teacher educator draws directly and indirectly on her long experience as an elementary classroom teacher. With elementary school mathematics as the main context for the work, Ball studies the practice of teaching and the processes of learning to teach. Her work also exam- ines efforts to improve teaching through policy, reform initiatives, and teacher education. Ball's publications include articles on teacher learning and teacher education, the role of subject matter knowledge in teaching and learning to teach, endemic challenges of teaching; and the relations of policy and practice in instructional reform. Ball was on the writing team for the National Council of Teachers of Mathematics (NCrM) Professional Teaching Standards. Hyman Bass is the Roger Lyndon collegiate professor of mathematics and professor of mathematics education at the s\~d 'e' University of Michigan. His mathematical research publications cover broad areas of algebra, with connections to geometry, topology and number theory. Bass is a member of the National Academy of Sciences and the American Academy of Arts anti Sciences. Bass is presi(lent-elect of the American Mathematical Society, past chair of the MSEB at the National Research Council, and the Committee on E(lucation of the American Mathematical Society, and he is President of the Inter- national Commission on Mathematics Instruction. During the past four years, he has been collaborating with Deborah Ball and her research group at the Univer- sity of Michigan on the mathematical knowledge and resources entailed in the teaching of mathematics at the elementary level. In all of this work, a major chal- lenge has been to buil(1 bridges between (liverse professional communities anti stakehol(lers involve(1 in mathematics education, both here and abroad. Jerry Becker is a professor of mathe- matics education at Southern Illinois University-Carbon(laTe. He receive(1 his Bachelor's anti Master's (legrees in mathematics from the University of Minnesota (1959) anti the University of

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Notre Dame (1961), respectively, and his Ph.D. degree in mathematics education from Stanford University (1967) with Ed Begle, Director of the School Mathematics Study Group. He has taught mathematics at both the elementary and secondary levels. His interests include improving practices in teacher education, inter- national mathematics education, cross- cultural research on problem solving, and the cognitive development of learners in mathematics. He has been president of the School Science and Mathematics Association and has served two terms on the U.S. National Commission on Math- ematics Instruction. He is a member of the National Mathematics Advisory Committee for the Eisenhower National Clearinghouse and recently completed a term on the Board of Directors of the NCrM. He served a three-year term as a member of the Editorial Board of the Joa~rnalfor Research in Mathematics Education. He is co-author of"Elemen- tary School Practices" in the International Handbook on Mathematics Education (1997) published by Kluwer Academic Publishers and co-e(lite(l, with professor Shigeru Shimada, the translation to English of The Open-Ended Approach - A New Approach to Teaching Mathematics published by the NCrM (1997~. He is co- author of '~he Politics of California School Mathematics: The Anti-Reform of 1997-99" in the Phi Delta Kappan (March 2000) and is co-editor with professors Toshio Sawada and Yoshio Takeuchi of From Prohiem to Prohiem - Developmental Treatment of Prohiems that has been translated into English for publication. Frances Curcio is a professor of math- ematics education in the School of Educa- tion, Department of Teaching and Learn- ing, at New York University (NYU). She works closely on campus and in the schools with preservice and in-service elementary and secondary mathematics teachers. Her research interests are in graph comprehension, language and communication in mathematics, and mathematical problem solving. She is a co-principal evaluator for a five-year National Science Foundation-funded professional development project in Community School District Two, New York City. She is the conference chair for the national conference, Diversity, Equity, and Standards: An Urban Agenda in Mathematics Education, to be co-sponsore(1 by NYU and the NCrM, in March 2000. She is the project (Erector for the {CME-9 Travel Grant Program anti the general e(litor for the 1999-2001 Yearbooks of the NCrM. Professor Curcio served as a member of the Boar(1 of Directors of the NCrM from 1990 to 1993, and was a member of the United States National Commission on Mathematics Instruction from 1994 to 1997. Since 1985, professor Curcio has conducted study tours and led mathematics education (lelegations to China, Russia, Spain, anti eight of the fifteen former Soviet republics. She led a delegation to South Africa in November 2000. Toshialdra Fujii is currently professor of mathematics education at Tokyo Gakugei University. He receive(1 a Master of Arts Degree in Mathematical Education in 1985 from Tsukuba University, anti one in 1981 from Tokyo Gakugei University anti a Bachelor of Arts Degree in Mathematics in 1974 from Tokyo Gakugei University. Professor Fujii's career began with the position of elementary school teacher in Tokyo between April 1977 anti March 1979. He then moved into the position of research associate in education at Tsukuba University between April 1986 and March 1988. From April 1988 to APPE N AX C

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October 1989, Professor Fujii was Lecturer of Mathematics Education at Yamanashi University, and from October 1989 to March 1997, he held the position of associate professor of mathematics education atYamanashi University. This tenure began in April 1997 atYamanashi University and concluded in March 1999, only to be resumed in April 1999 at Tokyo Gakugei University where he continues. Professor Fujii has written more than 70 articles on understanding, teaching and learning mathematics, and problem solving in different journals such as Arithmetic Education Journal of Japan Society of Mathematical Education) and Tsa~k?`ha journal of Educational Sta`dy in Mathematics. Hiroshi Fujita is currently professor emeritus at the University of Tokyo. Prior to his retirement from the University of Tokyo in March 1989, Dr. Fujita served as assistant in the Department of Physics on the Faculty of Science in 1956. Dr. Fujita then served as Lecturer in the Depart- ment of Applied Physics on the Faculty of Engineering between 1960 and 1964, and as an associate professor between 1964 and 1967. From April 1966 until his retirement in March 1989, Dr. Fujita served as a professor in the Department of Mathematics on the Faculty of Science at the University of Tokyo. Other posi- tions held were professor in RIMS, Kyoto University, 1971 to 1988; University Senator, 1987; Dean of Faculty of Science, April 1988 to March 1989, and professor in the Department of Mathematics at Meiji University, March 1989 to March 1999. Since April 1999, Dr. Fujita served as professor at the Research Institute of E(lucational Developments atTokai University, and he served as a professor at the University of Air from April 1989 to present. Dr. Fujita's public and academic APPE N DIX C services include President of Mathematical Society of Japan, 1982 to 1984; President of Japan Society of Industrial and Applied Mathematics, 1994 to 1995; Advisor of the Japanese Society of Mathematics Educa- tion, 1987 to present; Advisor of the Japanese Society of Science Education, 1996 to present. With respect to his affiliation with the International Commis- sion on Mathematical Instruction (ICM0, Dr. Fujita has been a member of the Executive Committee from 1986 to 1990 and was the National Representative of Japan to {CMI from 1984 to 1994. He has also served as Chairman of the Inter- national Program Committee of {CME-9 and as President of the National Organiz- ing Committee of {CME-9 since 1996 to present. Professor Fujita's overseas visiting positions include Stanford Univer- sity, Research Associate anti Lecturer, September 1962 to March 1964; Stanford University Visiting Professor, June 1967 to August 1967; New York University, Courant Institute of Mathematical Sci- ences, Visiting Member, September 1967 to August 196S, anti Wisconsin University, Visiting Professor, September 1968. Dr. Fujita is also associated with the following publications either as author or co-author: "School Mathematics in the 1990's, {CMI Study Series;" 1986: 'The Present State and Current Problems of Mathematics Education at the Senior Secondary Level in Japan" (Plenary Lecture); '~he Reform of Mathematics Education at the Upper Secondary School (USS) Level in Japan". "Highlights anti Sha(lows of Current Japanese National Curriculum of Math- ematics for Secondary Schools"; "An Interim Announcement of {CME-9". Jacqueline Goode is the elementary mathematics resource teacher at Burrville Elementary School in Washington, D.C. She spent the 1998-1999 school year as

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the National Council of Teachers of Mathematics Teacher in Residence, where she served as a teacher resource to the headquarters staff. During that year she also assisted with the coordination of the first Mathematics Institute for elemen- tary teachers at The Carnegie Institution of Washington, D.C. She has taught in the D.C. Public Schools for 26 years and received the 1991 Presidential Award for Excellence in Science and Mathematics Teaching. She is a member of the D.C. Council of Teachers of Mathematics, the Benjamin Banneker Association, and the NCrM Committee for the Comprehensive Mathematics Education of Every Child. She has served on advisory boards with the PBS MathLine series, '`Teaching Children Mathematics" editorial panel, and most recently MathMastery.com, a mathematics tutorial website. Daniel Goroff is professor of the practice of mathematics at Harvard University and Associate Director of the Derek Bok Center for Teaching and Learning. He earned his Master of Arts summa cum laude at Harvard, Master in Philosophy in Economics as a Churchill Scholar at Cambridge University, and a Ph.D. in Mathematics as a Danforth Fellow at Princeton University. Winner of a Phi Beta Kappa Teaching Prize in 198S, Goroff has served on the Board of the American Association for Higher Educa- tion and as Director of the loins Policy Board for Mathematics. He worked for the National Research Council during 1996-1997 anti for the Presi(lent's Science Advisor at the White House during 1997- 1998. In 199S, he was named one of the Decade's Young Leaders in Academia by "Change: The Magazine of Higher Education." Keiko Hino is an associate professor of mathematics education at the Nara University of Education, in Takabatake-cho, Naro, Japan. In addition, Dr. Hino is a member of the Production Staff of the Japan Society of Mathematical Education, the Japan Society of Mathematical Educa- tion, the Japan Society for Science Educa- tion, the National Council of Teachers of Mathematics, and the American Educa- tional Research Association Harno Ishigaki is a professor of educa- tion and director of the Institute for A(lvance(1 Stu(lies in E(lucation at Wase(la University. He holds a Master of Science Degree. Professor Ishigaki has served as Chairman of the E(litorial Committee of Mathematics Education and Arithmetic Education for the journal offapan Society of Mathematical Education between 1997 and 1999, and from 1997 until summer 1999, Professor Ishigaki has been a member of Natural Sciences, Science Council of Japan. He has been involved in a recurrent program of the institute for teachers, which hol(ls summer courses for technology anti its application to education since 1995. In addition, Professor Ishigaki has serve(1 as a member of the Committee for Cooperative Research of Natural Sciences, Science Council of Japan since 1997. Zalman P. Usisldn is professor of education at the University of Chicago, where he has been a faculty member since 1969. He is interested in all aspects of mathematics education, with particular emphasis on matters related to curriculum, instruction, anti testing; international mathematics education; the history of mathematics education; and educational policy. He is the author or co-author of APPE N AX C

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14 books and over 100 articles on math- ematics and mathematics education. From 1964 to 1984 he taught mathematics in nine secondary schools in Illinois, Michigan, and Massachusetts. He has been directly involved with the work of the grades 7-12 component of the Univer- sity of Chicago School Mathematics Project (UCSMP) since its inception in 1983, and since 1987 he has been overall director of UCSMP. He was a member of the advisory board to the Children's Television Workshop program Square One TV from 1984 to 1992, the Math- ematical Sciences Education Board of the National Research Council from 1988 to 1991, and the Board of Directors of NCrM from 1995 to 1998. He is currently a member of the steering and test develop- ment committees for mathematics of the National Assessment of Educational Progress and chair of the United States National Commission on Mathematics Instruction. Among many awards, he received the Max Beberman Award for his work in curriculum from the Illinois Council of Teachers of Mathematics in 1981, the first Distinguished Service APPE N DIX C Award Tom the Metropolitan Mathematics Club of Chicago in 1984, the Glenn Gilbert National Leadership Award from the National Council of Supervisors of Mathematics in 1994, and a Lifetime Achievement Award from NCrM in 2001. Haiime Yamashita is a professor of education at Waseda University and the Principal of Honjyo Senior High School at Waseda University. Professor Yamashita received a Bachelor of Science Degree in Mathematics (Complex Analysis) from Waseda University in 1962 and also holds a Master of Science Degree. He has been a teacher at the Senior High School of Waseda University since 1962. He was also a Lecturer in the School of Politics and Economics at Wase(la University since 1972. In addition, Professor Yamashita has lectured in the School of Politics and Economics at Waseda since 1985 anti in the Graduate School of Education since 1998. Finally, professor Yamashita has been the principal of Honjo Senior School, Wase(la University since 1999.