This study analyzed data from the Scholastic Aptitude Test (SAT) taken by high school seniors between 1975 and 1986. Its purpose was to study trends in the numbers, test scores, and other characteristics of examinees planning to major in mathematics, science, and engineering, and to compare these data with comparable data from examinees planning…

This study of rewards and recognition in the mathematical sciences in higher education utilized data gathered from site visits to 26 institutions, 3 open forums, and a survey of a sample of faculty and department chairs in mathematical sciences departments. Results found: (1) a substantial gap between what faculty think the reward structure should…

A discussion of mathematics curriculum and teaching methods based on the standards issued by the National Council of Teachers of Mathematics (NCTM) and National Council of Supervisors of Mathematics (NCSM) is presented. The standards emphasize the connectedness of each of the branches of mathematics and underline the relationship of each branch to…

This paper discusses the author's personal experiences in developing and implementing a problem-based college mathematics course for liberal arts majors. This project was initiated in response to the realization that most students are dependent on "patterning" learning algorithms and have no expectation that self-initiated thinking is a…

This volume examines the teaching of statistics in the whole range of education, but concentrates on primary and secondary schools. It is based upon selected topics from the Second International Congress on Teaching Statistics (ICOTS 2), convened in Canada in August 1986. The contents of this volume divide broadly into four parts: statistics in…

One of the strengths of the Pennsylvania Council of Teachers of Mathematics (PCTM) is that it gives mathematicians and mathematics educators the opportunity to exchange and contribute to each other's professional growth. The topic for each yearbook is chosen to coincide with the annual PCTM meeting. This 1987 yearbook contains 14 articles which…

As requested by the National Science Foundation (NSF) and the Interagency Committee for Extramural Mathematics Programs (ICEMAP), this report updates the 1984 Report known as the "David Report." Specifically, the charge directed the committee to (1) update that report, describing the infrastructure and support for U.S. mathematical…

In the fall of 1986, a joint study was undertaken to solicit views of the nation's Governors, senior officers of U.S. companies, and presidents and deans of U.S. colleges and universities on the relationship of U.S. competitiveness to the human resource base and research and development capacity. Researches polled 2,300 senior research and…

The changing role of mathematics in society may require a different mathematics curriculum in the schools. Curriculum builders work constructing pieces of the new mathematics curriculum. To last, this new curriculum must be based on a foundation of experience and research. This book provides access to that foundation for secondary schools and…

One of the strengths of the Pennsylvania Council of Teachers of Mathematics (PCTM) is that it gives mathematicians and mathematics educators the opportunity to exchange and contribute to each other's professional growth. The topic for each yearbook is chosen to coincide with the annual PCTM meeting. This 1988 yearbook contains 27 articles which…

The quality of doctoral-level chemistry (N=145), computer science (N=58), geoscience (N=91), mathematics (N=115), physics (N=123), and statistics/biostatistics (N=64) programs at United States universities was assessed, using 16 measures. These measures focused on variables related to: program size; characteristics of graduates; reputational…

Elementary school teacher candidates typically enter their professional training with deficiencies in their conceptual understanding of the topics of elementary school mathematics and with a reliance upon procedural (algorithmic) approaches to the solutions of mathematical problems. If elementary school teacher candidates are expected to teach…

Small-group cooperative learning provides an alternative to both traditional whole-class expository instruction and individual instruction systems. The procedures described in this volume are realistic, practical strategies for using small groups in mathematics teaching and learning with methods applicable to all age levels, curriculum levels, and…

This document contains 29 programs and/or material listings that were nominated by at least three persons and for which there was evidence of the quality of the program or materials. Reviewers looked for positive evaluation data on the impact of the materials on students, or other information that assessed the quality of the program or materials,…