This book presents research undertaken as a two-year investigation of two sets of related questions about teacher understanding concerning rational numbers, quantity, and proportional reasoning and how this knowledge affects teachers' awareness of how students learn. Chapter 2 provides a conceptual framework. Chapter 3 presents detailed…

Project SEED is a U.S. nationwide program in which professional mathematicians and scientists from major universities, research corporations, and the community teach abstract, conceptually oriented mathematics to full-sized classes of elementary school children on a daily basis as an extra-period supplement to their mathematics program. The…

Changes in student perceptions over the first year of high school form the basis of this study. Self- and task-perceptions, as well as affect and utility judgments, are measured in relation to English and mathematics, since the transition to high school has been found to impact negatively on students' self-concept in these domains. The impact of…

This paper describes a three-year project that has created on-line lessons and activities on math and aeronautics aimed at improving the education and aeronautics-related career options for children with physical disabilities. It has developed a specialized program, drawing from existing curricula, available materials and assistive technology,…

This conference proceedings includes two plenary lectures by Celia Hoyles and David Henderson. Papers from working groups deal with teacher growth, dynamic algebra, and the role of proof in post-secondary education. Topic sessions from the conference examine problems, puzzles, and games; the relationships among parents, children, and mathematics;…

This report evaluates a summer program funded under Chapter 1 of the Education Consolidation and Improvement Act (ECIA) and administered by the Division of Special Education of the New York City Board of Education. The 1989 Chapter 1 Reading and Mathematics with Athletics summer program served 1,537 students with mild to moderate handicaps in…

This paper advocates using teaching methods in math and social studies instruction that take into consideration the students' learning styles to increase achievement for at-risk students. Rural at-risk students need mathematics and social studies instruction that will prepare them for the 21st century. Traditional methods of instruction have not…

In 1988-89 the Connecticut Vocational-Technical School System initiated a program for the ongoing review and upgrading of all trade and academic curricula used in the system's 17 schools to insure that each curriculum is consistent with current standards. Every 3 years the Curriculum Steering Committee for the trade or academic subject conducts a…

This paper proposes a theory that can account for differences between everyday and formal mathematics knowledge and a set of processes by which informal knowledge is transformed into formal mathematics. After an introduction, the paper is developed in five sections. The first section lays out the nature of informal, everyday mathematics knowledge.…

Since the mid-1980's, computers in elementary and middle grade schools have functioned to a large extent as a medium for student practice in the skills and concepts of basic mathematics and logic. This report presents the results of a 2-year nationwide field experiment designed to provide credible evidence about the effects of using computers in…

Four articles comprise this issue of the bulletin. "The Situation of Teachers in the English-Speaking Caribbean" (A. B. Alleyne) examines the position of Caribbean teachers with respect to salaries, social security, the teacher shortage, the adequacy of educational objectives and policies, preparation for the profession, and further…

The facets of teachers' views of mathematics include their personal views, how they view mathematics for their students, how they view the mathematics curriculum, and how they view mathematics teaching. This paper reports a pilot study to examine how elementary school teachers view mathematics both personally and for their students. A coding…

This curriculum guide, designed for use with secondary migrant students, presents mathematics activities in the areas of whole numbers, fractions, decimals, percent, measurement, geometry, probability and statistics, and sets. Within the categories of whole numbers, fractions, and decimals are activities using addition, subtraction,…

A study that identified mathematics processes and concepts taught in industrial arts-technology education courses in Louisiana high schools and the time spent teaching used the following methods: literature review; phone interviews with persons recognized nationally for their efforts at infusing math, science, and technology into the high school…

Given the current and widespread practical interest in mathematical understanding, particularly with respect to higher order thinking skills, curriculum reform advocates in many countries cite the need for teaching mathematics with understanding. However, the characterization of understanding in ways that highlight its growth, as well as the…