After observing secondary school students having great difficulty learning geometry in their classes, Dutch educators Pierre van Hiele and Dina van Hiele-Geldof developed a theoretical model involving five levels of thought development in geometry. It is the purpose of this monograph to present English translations of some significant works of the…

Focusing on how expert writers in various disciplines convey complex ideas, this paper shows how the techniques used by the mathematician, Clark Kimberling, in various writings can (1) be transferred to other disciplines, (2) show learning taking place, and (3) provide models for students to re-enact learning in all subject areas. The paper…

The Aronberg Project is an attempt to improve the mathematical competence of socially deprived students of small development towns. The main focus of the project is the enhancement of mathematics teacher competency and didactic skills. The purposes of this report are to: (1) describe the various activities of the Aronberg Project; (2) document the…

A quasi-experimental design with two experimental groups and one control group was used to evaluate the use of two books in the Quantitative Literacy Series, "Exploring Data" and "Exploring Probability." Group X teachers were those who had attended a workshop on the use of the materials and were using the materials during the…

This document provides a description and evaluation of a project designed to develop leadership among K-8 mathematics teachers in San Francisco (California). The project attempted to: (1) provide teams of urban teachers with a year-long program to improve mathematical problem solving skills, build confidence, and increase classroom effectiveness;…

The first four units cover aspects of medical applications of calculus: 71-Measuring Cardiac Output; 72-Prescribing Safe and Effective Dosage; 73-Epidemics; and 74-Tracer Methods in Permiability. All units include a set of exercises and answers to at least some of the problems. Unit 72 also contains a model exam and answers to this exam. The fifth…

This manual describes procedures for collecting data about two classroom elements: (1) teacher-student interactions; and (2) amount and type of student engagement in academic work. Although the system was originally developed from a study of influences on sex-related differences in mathematics, it is designed to be adapted as needed for…

This material is the result of 1 year of experimental work during the 1976-77 school year with pupils at the fifth-grade level. Once a week students participated in half-hour, small-group sessions in addition to their regular classroom mathematics period. It is felt that the activities described might be appropriate for additional grade levels. It…

This booklet provides an overview of the Elements of Mathematics Program used in Project MEGSSS (Mathematics Education for Gifted Secondary School Students). It was designed for gifted students in grades 7-12 with excellent reading and reasoning ability. It attempts to explore the upper content limits of the mathematics that such students can…

From six institutions in the Illinois Department of Corrections school district, 359 adult male inmates served as subjects for this research evaluation of basic skills. Three groups were in traditional self-paced instruction, and the other three groups were in Program Logic for Automated Training Operations (PLATO) computer managed instruction…

The study was designed to determine the effectiveness of an accelerated eighth-grade algebra program offered in the Bryan Independent School District since 1975. The major questions posed were: Have pupils been successful as eighth graders and in subsequent high school mathematics courses? (2) Have students been electing upper-level mathematics…

In the introductory section of this report, the Second International Mathematics Study (1981-82) is described. The study, which involved about 500 classrooms in the United States and classrooms in 24 other countries in grades 8 and 12, was designed to provide detailed information about the content of the mathematics curriculum, how mathematics is…

In 1985, Indiana joined the growing list of states assessing students' achievement at various levels. During February 1985, over 63,000 third-grade students took the 40-item Indiana Basic Competency Skills Test. A mean of 34.7 was achieved. An item analysis was performed for a random sample of 6,439 students (approximately 10%). Findings confirm…

This bulletin describes two exemplary mathematics programs in Oregon: the Math Lab at Mountain View Junior High School in Beaverton and the Academy Math Program at Jefferson High School in northeastern Portland. The Math Lab at Mountain View is a weekly supplemental unit that is integrated into general math and pre-algebra courses for seventh and…

This report describes the yearlong case study based on participant observation at a school which used ThinkAbout, a series of 60 15-minute instructional television programs designed to strengthen the reasoning skills of fifth and sixth graders, and to review and reinforce language arts, mathematics, and study skills. Discussion covers the patterns…