This is one in a series of SMSG supplementary and enrichment pamphlets for high school students. This series is designed to make material for the study of topics of special interest to students readily accessible in classroom quantity. Topics covered include absolute value, addition and multiplication in terms of absolute value, graphs of absolute…

This is one in a series of SMSG supplementary and enrichment pamphlets for high school students. This series makes available expository articles which appeared in a variety of mathematical periodicals. Topics covered include: (1) axioms in algebra; (2) the foundations of algebra; and (3) noncommutative algebra. (MP)

THIS CURRICULUM GUIDE FOR ALL GRADES OF PUBLIC SCHOOL INSTRUCTION IS INTENDED TO ASSIST LOCAL SCHOOL DISTRICTS IN DESIGNING AN ADEQUATE MATHEMATICS PROGRAM THAT REFLECTS THE MODERN APPROACH. THE GUIDE PRESCRIBES A PROGRAM WHICH IS SUFFICIENTLY FLEXIBLE TO BE USED BY LARGE DISTRICTS HAVING A COMPLETE THREE-TRACK MATHEMATICS PROGRAM WITH FIVE YEARS…

Because of small class enrollment, limited class offerings, and differences in ability range, a programmed algebra course was introduced to eliminate some disadvantages of a small school mathematics program. Credit was given to students completing 36 of the 73 chapters in Science Research Associates (SRA) Modern Mathematics, Course I. Post-test…

Investigated was the mathematics achievement of several hundred junior high school students, believed by their counselors and teachers to be "slow learners." This investigation focused on two critical problems: (1) whether some children benefit from less rapid pacing of material, and (2) which are the strongest predictors of achievement…

Presented are a suggested program and the course outlines for the pregraduate preparation of research mathematicians. The program set forth is designed for the first four years of a sequence of formal course study leading to the Ph.D. in a total of seven years. The proposed program of pre-graduate mathematical studies falls into two parts:…

Reported is an initial attempt to define a minimal college mathematics library. Included is a list of some 300 books, from which approximately 170 are to be chosen to form a basic library in undergraduate mathematics. The areas provided for in this list include Algebra, Analysis, Applied Mathematics, Geometry, Topology, Logic, Foundations and Set…

Materials from an individualized Algebra I program were used by 307 experimental students in ten classrooms of nine public junior and senior high schools. A control group of 250 students in ten classrooms used a traditional textbook approach to Algebra I. Achievement of the total experimental and control groups as measured by the Lankton Test was…

Verbal protocols were collected from math-anxious and math-comfortable college students while they solved algebra problems. These protocols were then examined for differences in problem-solving processes. Differences occurred in the use of two basic strategies: generating values and symbolic transformations. Math-anxious students generated more…

This study was performed as an effort to replicate and extend the findings of Hendrix with regard to verbalization and discovery learning. College algebra classes were randomly assigned to three verbalization conditions: (1) no student verbalization of generalizations required, (2) students make written verbalization of generalization, and (3)…

This manual was designed for use with the first of five texts in the Secondary School Advanced Mathematics (SSAM) series. Developed for students who have completed the Secondary School Mathematics (SSM) program and wish to continue their studies in mathematics, this series is designed to review, strengthen, and fill gaps in the material covered in…

This manual was designed for use with the third of five texts in the Secondary School Advanced Mathematics (SSAM) series. Developed for students who have completed the Secondary School Mathematics (SSM) program and wish to continue their studies in mathematics, this series is designed to review, strengthen, and fill gaps in the material covered in…

This manual was designed for use with the last of five texts in the Secondary School Advanced Mathematics (SSAM) series. Developed for students who have completed the Secondary School Mathematics (SSM) program and wish to continue their studies in mathematics, this series is designed to review, strengthen, and fill gaps in the material covered in…

This is Part 1 of the second course in a series which focuses on building fundamental mathematical structures. Topics considered in this book include: an introduction to mathematical logic and mathematical proof, a continuation of the study of groups, an introduction to axiomatic affine geometry, fields, the real number system, and coordinate…

This index lists research studies of experimental programs in mathematics education. The references cited are found in several bibliographies and journals. The main purpose of the "Key-Word-In-Context Index and Bibliography" is to facilitate the retrieval of information on research studies in mathematics education. The "Index" and "Bibliography"…