Encyclopedia of Mathematics Education

Louise S. Grinstein received a Ph.D. from Columbia University in mathematics education. She has worked in industry as a computer programmer and systems analyst. She is currently Professor Emeritus of mathematics and computer science at Kingsborough Community College of CUNY. Sally I. Lipsey received an Ed.D. from Columbia University where she studied mathematics in the faculty of pure science, and mathematics education at Teachers College. She is now retired, but was an associate professor of mathematics at Brooklyn College, CUNY and is currently president of Women and Mathematics Education.

• I. Applications Acturial mathematics; applications for the classroom; overview; economics; environmental mathematics; health; modeling; numerical analysis; operations research; population growth; sports. II. Assessment Assessment of student achievement; overview; evaluation of instruction; overview; National Assessment of Educational Progress. III. Content and Instructional Procedures Abstract algebra; addition; algebraic numbers; algorithms; arithmetic; axioms; calculus; overview; continuity; data representation; decimal system; inequalities; inverse functions; mathematics; foundations; mathematics, nature of; number sense and numeration; number theory, overview; probability in elementary school mathematics; statistics, overview. IV. Curriculum Addition; curriculum trends; secondary level; discrete mathematics; integration of elementary school mathematics instruction with other subjects; standards, curriculum. V. Enrichment Art; enrichment, overview; family math; games; projects for students; recreations, overview. VI. Governmental Role Federal governement, role of; mathematics education; statistical indicators of; state government, role. VII. History of Mathematics History of mathematics, overview; Abel, Archimedes, Bernouilli Family, etc; African customs applied to the mathematics classroom, Babylonian mathematics, Islam, etc. VIII. Issues Assessment of student achievement, issues; basic skills; developmental (remedial) mathematics; ethnomathematics; evaluation of instruction, issues; gifted, special programs for; learning disabilities, overview; mathematics, philosophical issues; mathematics anxiety; minorities, educational problems

"[A] great resource for mathematics teachers of any level for background information, for new teaching ideas, for giving students inspiration for projects and research-paper topics, and for developing an understanding of the richness of mathematics education." -- Mathematics Teacher"...informative and accurate, readers get a good overview of mathematics education trends in the United States and selected foreign countries. Each of the alphabetically arranged entries includes a well-chosen bibliography, and an index helps readers locate more specific topics. For a library serving teachers or education students, these articles are good enough to make this a worthwhile purchase." -- Library Journal"Grinstein and Lipsey have assembled an interesting set of resources that cover diverse topics from education, mathematics, and biography. Entries are arranged alphabetically, signed, and include bibliographies with many up-to-date citations. A dense index is supplemented by an additional contents page called "Sample Entries by Category." The information is attractively laid out in a large, easy-to-read font. The best articles focus on methods of instruction for various types of mathematics and the history of mathematics education." -- Choice, October 2001, Vol. 39 No. 2