To extend the analysis of mathematics as the "critical filter" into actual college experience, the influence of high school and college mathematics on choice of majors and progress in the major during college was studied using data from 745 freshmen at Arizona State University. Attention was also directed to an expanded mathematics…

This issue of the journal contains abstracts and critiques of ten research reports. They address such topics as: (1) characterizing the Van Hiele levels of development in geometry; (2) children's ideas about commutativity in the early elementary arithmetic program; (3) two children's anticipations, beliefs and motivations about mathematics; (4) a…

Project AIMS (Activities that Integrate Mathematics and Science) produces a variety of curriculum materials that deal with the integration of learning experiences, problem solving activities, and the use of cooperative learning. This document is a compilation of the AIMS newsletters published during the 1986-87 academic year. Each of the ten…

In an effort to present important research results in readable form for elementary and secondary teachers of mathematics, this publication reviews a model and ways of effectively teaching mathematics. The model of instruction proposed by Good and Grouws is based on teacher-centered whole class instruction. Perspectives and guidance are offered in…

Designed for the use of high school personnel, especially mathematics and science teachers, this manual provides ideas and mechanisms that will help reduce inappropriate career decisions based on emotions, sex role stereotyping, and misinformation. Contents include sections which focus on: (1) where the jobs are in science and engineering; (2)…

This paper reports research into the linguistic and extra-linguistic or social-cognitive structure of problem presentation contexts. The effects of textual and social syntax were investigated, including the specific structure of the problem text by which situations, processes, actions, and number relations are implicitly or explicitly expressed,…

The mathematics and experimental science courses in the programs of the upper secondary school in the Federal Republic of Germany (FRG) are discussed. The paper addresses: (1) the two "secondary levels" within the FRG school system, indicating that the Secondary I-Level (SI) comprises grades 5 through 9 or 10 while the Secondary II-Level…

This report describes the expansion of the Select Program in Science and Engineering (SPISE) to provide participants with a second year experience designed to increase the impact of the program on college and career selection by enabling students to select an area of special interest for study. The target population for SPISE is economically…

The dual concerns of economic competitiveness and national security have provided the main impetus behind the continued growth in support for research and development (R&D) by both government and industry. The funding of science and technology is a major factor behind capital and labor productivity increases. This report presents a summary of…

This paper provides a focus on the successful and positive facets of schooling from a series of case studies. The study involved 13 researchers in over 500 hours of intensive classroom observation of 20 exemplary teachers and a comparison group of non-exemplary teachers. The qualitative information was complemented by quantitative information…

In recent years, the need to improve education has received considerable attention. The development of educational indicators is necessary to help policymakers determine whether educational conditions have improved and what additional actions are indicated. The Council of Chief State School Officers State Education Assessment Center initiated a…

These proceedings contain lectures concerned with problem solving, applications of undergraduate mathematics, and aspects of current research in mathematics. The four working groups considered: (1) the role of feelings in learning mathematics; (2) the problem of rigor in mathematics teaching; (3) microcomputers in teacher education; and (4) the…

The mathematics curriculum provides a framework of instruction for exceptional child education in grades K-12. Content areas include: numeration, whole numbers, rational numbers, real/complex numbers, calculator literacy, measurement, geometry, statistics, functions/relations, computer literacy, and pre-algebra. The guide is organized by content…

Replication of the Second International Mathematics Study (SIMS) in Ontario, Canada, is described and assessed. The curriculum and testing program covers numerical methods, geometry, and algebra. Whereas classical studies focused on mean scores of a system's students and on percentages of teachers for opportunity to learn (OTL), SIMS aggregates…

Provided are results of a study (which is replicated annually) designed to identify specific areas of science and mathematics teacher supply/demand inconsistencies in the State of Iowa. Data are summarized on the number of graduates from teacher education institutions in Iowa completing preparation for a teaching certificate for the years 1970-82.…