Reported are the results of a study concerned with the mathematical course work of teachers and the achievement of their students as measured by the "Scholastic Aptitude Test-Mathematics" (SAT-M). Information about the teachers was obtained by questionnaire. Student scores were obtained from school records. Data were obtained from 26 schools and…

Chapters 7-8 of the special materials for low achieving students in grades 7-8 by SMSG deal with properties of the rational numbers and elementary probability. Included for each chapter are pretest exercises, a self-test, instructional lessons and exercises, and a chapter test. (CT)

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…

Topics included in Part 2 of Course II are: real functions; descriptive statistics; transformations in the plane; length, area, and volume; combinatorics; and mass points. The chapter on real functions includes a discussion of properties of functions, composition of functions, inverses of functions and other topics. The chapter on descriptive…

The purpose of the analyses presented in this report was to identify differential patterns of mathematics achievement which could be ascribed to different mathematics textbook series used by groups of students over a two year span covering grades 7 and 8. This report is one of two reports that examine textbook-related achievement patterns for the…

This book is a report of the K-13 Arithmetic-Algebra Study Committee. Part I describes the Committee's ideas on objectives and curriculum development of a K-13 curriculum in probability and statistics. The structure, sequence, and sample content of such a curriculum are outlined. The primary focus of this report is content rather than teaching…

This volume contains descriptions and statistical properties of test scales used with grade 10 through grade 12 students in the National Longitudinal Study of Mathematical Abilities (NLSMA). Each scale is designed to measure a specified content or psychological area chosen as a dependent variable for the study. The scales are briefly identified…

This teacher's edition of a tenth grade general mathematics workbook attempts to show how certain mathematical skills are needed by the consumer. Each of the ten instructional units contains review exercises, practical applications, and practice problems for three levels of ability. Included are units on: (1) business forms, (2) algebra, (3)…

This volume contains descriptions and statistical properties of test scales used with grade seven through grade eight students in the National Longitudinal Study of Mathematical Abilities (NLSMA). Each scale is designed to measure a specified content or psychological area chosen as a dependent variable for the study. The scales are briefly…

It is extremely difficult to extend in a natural way the concepts developed in high school geometry to motivate the concepts of trigonometry. To solve this difficultry, the author defines "sensed angles" as ordered pairs of rays and makes appropriate definitions which yield the familiar angle properties of plane geometry. He then shows how this…

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"…

Presented in this report is an approach to Euclidean geometry that makes use of distance preserving transformations as the primary approach in the development of the proposed course. The foundation of the course consists of an axiom set that is a combination of Binkhoff's, Hilbert's, and Klein's. Transformations and distance preserving…

This paper appraises recent developments in the curriculum and teaching of mathematics in the secondary schools and analyzes mathematics education in the United States with particular emphasis on Nebraska. The first section focuses upon characteristics that distinguish the modern secondary school mathematics curriculum from the traditional. The…

These materials were written for the use of a class of eighth grade high ability students in a four week course sponsored by Educational Services Incorporated on the Stanford campus. They represent a practical response to the proposal by the Cambridge Conference of 1963 that geometry be taught by vector space methods. Instead of using vector…

Reported is an analysis of eight curriculum revision projects in mathematics (1) The Boston College Mathematics Institute (BCMI), (2) The Greater Cleveland Mathematics Program (GCMP), (3) The Syracuse University-Webster College Madison Project, (4) The University of Maryland Mathematics Projects (UMMaP), (5) The Ontario Mathematics Commission…