Twin aims--to advance theory and to improve practice in science, mathematics, and computing education--guided the Educational Technology Center's (ETC) research from its inception in 1983. These aims led ETC to establish collaborative research groups in which people whose primary interest was classroom teaching and learning, and researchers…

Some mathematics educators feel that too little geometry is taught in elementary schools. This may have serious effects as many students arrive in the traditional high school geometry course without essential backgrounds in informal geometry. The result of this lack of preparation is often lower scores on standardized tests. In this situation,…

This document was developed as a resource for secondary mathematics educators. The supplemental guide is designed to help educators challenge their students and provide each student with learning experiences to help them achieve success. Chapters reflect the mathematics curriculum and within each subject, activities are listed in the common…

This is a guide for use in semester-long courses in Elementary Functions and Analytic Geometry. A list of entry-level skills and a list of approved textbooks is provided. Each of the 18 units consists of: (1) overview, suggestions for teachers, and suggested time; (2) list of objectives; (3) cross-references guide to approved textbooks; (4) sample…

This document reviews approximately 200 children's books in mathematics for the early grades. The 1975 and 1976 editions of "Children's Books in Print" were used to generate the book list, and all but approximately 20 of the titles listed were located for this review. Each review presented describes content and accuracy, illustrations and their…

This Comprehensive School Mathematics Program (CSMP) guide is divided into three major parts. The first, the Languages of Strings and Arrows, opens with a suggested lesson order. Major sections cover instructional approaches for: (1) Games with Strings, (2) Necklaces, and (3) The Table Game. A Series of appendices is included. Part 2, Geometry and…

Problem Solving in Mathematics (PSM), a program of problem-solving lessons for grades 4-9, is designed to be integrated into the regular mathematics curriculum. Although the content objectives of the lessons are similar to those of most textbooks, PSM emphasizes problem-solving skills and a variety of instructional strategies which foster the…

This document consists of three modules. The first looks at applications of analysis to medical radiology. The goals are to provide: 1) acquaintance with a significant applied mathematics problem utilizing Fourier Transforms; 2) generalization of the Fourier Transforms to two dimensions; 3) practice with Fourier Transforms; and 4) introduction to…

High school geometry students were presented lessons with either a high degree of structure or a low degree of structure. Structure was defined in terms of the frequency with which concepts were repeated from one sentence to the next. After the lessons, students were tested for comprehension of the material covered and then they rated the lessons…

This document presents six chapters on four-dimensional geometry, whose titles are: (1) A Brief History; (2) What Is Four-Dimensional Geometry?; (3) Selected Drawings and Models; (4) How to Study the Configurations; (5) Selected Topics; and (6) Applications. The text, suitable for students in advanced levels of secondary school mathematics,…

This student textbook is designed to incorporate programable calculators in grade 11 mathematics. The eight chapters contained in this document are: (1) Using Calculators in Mathematics; (2) Exponents and Logarithms; (3) Trigonometry of the Right Triangle; (4) Trigonometry Beyong the Right Triangle; (5) Graphs of the Trigonometric Functions and…

This set of five reports and one manual is a product of the Mathemagenic Activities Program (MAP) for early childhood education of the University of Georgia Follow Through Program. Based on Piagetian theory, the MAP provides sequentially structured sets of curriculum materials and processes that are designed to continually challenge children in…

THIS INSTRUCTIONAL GUIDE FOR MATHEMATICS 1 OUTLINES CONTENT AND PROVIDES TEACHING SUGGESTIONS FOR A FOUNDATION COURSE FOR THE SLOW LEARNER IN THE SENIOR HIGH SCHOOL. CONSIDERATION HAS BEEN GIVEN IN THE PREPARATION OF THIS DOCUMENT TO THE STUDENT'S INTEREST LEVELS AND HIS ABILITY TO LEARN. THE GUIDE'S PURPOSE IS TO ENABLE THE STUDENTS TO UNDERSTAND…

This is an experimental SMSG mathematics text for junior high school students. Key ideas emphasized are structure of arithmetic from an algebraic viewpoint, the real number system as a progressing development, and metric and non-metric relations in geometry. Chapter topics include why study mathematics, decimal and non-decimal numeration, the…

This guide represents the final experimental version of a pilot project which was conducted in the United States between 1973 and 1976. The ideas and the manner of presentation are based on the works of Georges and Frederique Papy. They are recognized for having introduced colored arrow drawings ("papygrams") and models of our numeration…