The fourth in a series of six guidebooks on minimum course content for second-year algebra, this booklet covers linear and quadratic relations, absolute value, graphing complex numbers, determinants and matrices, graphing quadratic relations, and solving systems of linear and quadratic equations. Overall course goals are specified, a course…

The sixth in a series of six guidebooks on minimum course content for second-year algebra, this booklet presents an introduction to sequences, series, permutation, combinations, and probability. Included are arithmetic and geometric progressions and problems solved by counting and factorials. Overall course goals are specified, a course outline is…

Designed for students who have mastered the skills and concepts in the regular geometry series of the Quinmester Program, this guidebook presents an additional course on the study of the nature of proof, using a Euclidean geometry model. The development of techniques of formal proof is simplified through the liberal use of partially-constructed…

This annotated bibliography lists research related to mathematics teaching and learning which was published in the United States during 1973. The listing covers the levels K-12, and is divided into three major sections. The first section lists research summaries which review groups of research studies. The second section contains research reports…

This teacher guide is part of the materials prepared for an individualized program for ninth-grade algebra and basic mathematics students. Materials written for the program are to be used with audiovisual lessons recorded on tape cassettes. For an evaluation of the program, see ED 086 545. In this guide, the teacher is provided with objectives for…

This teacher guide is part of the materials prepared for an individualized program for ninth-grade algebra and basic mathematics students. Materials written for the program are to be used with audiovisual lessons recorded on tape cassettes. For an evaluation of the program see ED 086 545. In this guide, the teacher is provided with objectives for…

This teacher guide is part of the materials prepared for an individualized program for ninth-grade algebra and basic mathematics students. Materials written for the program are to be used with audiovisual lessons recorded on tape cassettes. For an evaluation of the program see ED 086 545. In this guide, the teacher is provided with objectives for…

This teacher guide is part of the materials prepared for an individualized program for ninth-grade algebra and basic mathematics students. Materials written for the program are to be used with audiovisual lessons recorded on tape cassettes. For an evaluation of the program see ED 086 545. In this guide, the teacher is provided with objectives for…

This study examines the correspondence between a representation of subject-matter structure and a representation of the cognitive structure in students as a result of instruction. Eighty-seven eighth-grade students were assigned randomly to experimental and control treatments. The experimental students (N = 43) studied from a programmed text on…

The first chapter presents representative criticism of the teaching of mathematics, some typical testimonials of its values, and suggestions for certain improvements. Next comes a survey of the educational situation with particular emphasis on the reorganization of secondary mathematics instruction. Chapter 3 presents arguments for the value of…

This book is a sequel to MATHEMATICAL CHALLENGES, which was published in 1965. In this sequel are 100 problems, together with their printed solutions. The problems range from those that are quite simple to those that will challenge even the most ardent problem solver, and they include examples from algebra, geometry, number theory, probability,…

This report is an evaluation of the Committee of Low-Achievers in Mathematics-Denver Area (COLAMDA) Project, a mathematics program involving diagnosis, prescription, and implementation for use with low achievers in grades seven thru twelve. It contains an assessment of 1970-71 project year by a resource technician. An on-site evaluation report…

Mathematics and science classes integrated computer science activities into the regular secondary curriculum. This document reports the nature of the computer activities used in conjunction with an algebra II class, a physics class and a chemistry class. A computer programing class was also established as a year-long elective course. Success and…

This study investigated the relationship between teachers' judgments of students' instructional needs, the mode of instruction received by the student, and his academic achievement. The teachers were asked to judge 102 eighth-grade pupils on a self-reliance/dependence scale which had been developed for this study; the students had been in an…

This is one of a series of reports on the National Longitudinal Study of Mathematical Abilities (NLSMA). Its focus is the effect of new mathematics curricula on achievement in science. Those students from the Y-Population (grades 7-11, see NLSMA Reports Nos. 5 and 9) who had taken the College Board science tests in biology, chemistry, or physics…