This is part two of a two-part SMSG intermediate mathematics text for high school students. The aim of the text is to focus attention on mathematical ideas which are appropriate for study by college-capable students in the eleventh grade. Chapter topics include number systems, an introduction to coordinate geometry in the plane, the function…

This is part one of a two-part SMSG elementary school text for third-grade students. The development of mathematical ideas in the text is grounded in appropriate experiences with things from the physical world and the immediate environment. Chapter topics include: (1) sets of points; (2) addition and subtraction; (3) describing points and numbers;…

This is part two of a two-part SMSG elementary school text for fourth-grade students. The content is aimed at the development of some of the fundamental concepts of mathematics such as number, numeration, the operations of arithmetic, and intuitive geometry. Chapter topics include properties and techniques of addition and subtraction, techniques…

This is part three of a three-part SMSG mathematics text for seventh-grade students. The text was written for those students whose mathematical talent is underdeveloped and is essentially the same subject matter presented in the SMSG text. Chapter topics include: (1) measurement; (2) area and volume; (3) parallels; (4) polygons and prisms; (5)…

This is volume two of a three-volume set for teachers using SMSG junior high school text materials. Each unit contains a commentary on the text, answers to all the exercises, a copy of the questionnaire used for evaluating the material, and a summary of comments by the teachers using the text. Unit topics include: (1) non-metric geometry; (2)…

SIXTY-FIVE STUDENTS IN TWO CLASSES IN HIGH SCHOOL GEOMETRY WERE ASSIGNED BY STRATIFIED RANDOM PROCEDURE ON THE BASIS OF THE HENNON-NELSON TEST OF MENTAL ABILITY TO FOUR EXPERIMENTAL GROUPS--TWO USING A LINEAR OR A BRANCHING TYPE PROGRAM EXCLUSIVELY, AND TWO SWITCHING PROGRAM TYPE MIDWAY THROUGH THE EXPERIMENT. A THIRD CLASS, TAUGHT BY THE SAME…

This booklet, one of a series, has been developed for this project, A Porgram for Mathematically Underdeveloped Pupils. A project team, including inservice teachers, is being used to write and develop the materials for this program. The materials developed in this booklet are based on activities involving (1) similar geometric figures, (2) similar…

This is Part II of the first volume of the proceedings of the Committee on the Undergraduate Program in Mathematics (CUPM) Geometry Conference, held at Santa Barbara in June, 1967. The purpose of the conference was to consider the status of geometry in colleges at the undergraduate level. This volume contains two lectures: "The Geometric…

This study is one of several conducted by the authors in their investigation of the use of "higher order rules" in the solution of problems. The focus of the current experiment was determination of the compatibility of identified rules with the knowledge of average teenagers, and of the extent to which instruction in higher order rules…

This text is one of the sequence of textbooks produced for low achievers in the seventh and eighth grades by the School Mathematics Study Group (SMSG). There are eight texts in the sequence, of which this is the last. This set of volumes differs from the regular editions of SMSG junior high school texts in that very little reading is required.…

This study was designed to determine if a group of five- and eight-year-old students' understanding of selected geometric ideas paralleled Piaget's topological, projective, and Euclidean thesis. Additional purposes were to investigate which geometric ideas the group learned easiest, and to examine the relationships between geometric understanding…

This paper presents the results of the second class to participate in the fast-paced mathematics program begun by the Study of Mathematically Precocious Youth (SMPY) at Johns Hopkins University. Fast-paced mathematics classes were established to meet the needs of highly gifted junior high school students. Thirty-three students participated in the…

This text is the first of five in the Secondary School Advanced Mathematics (SSAM) series which was designed to meet the needs of students who have completed the Secondary School Mathematics (SSM) program, and wish to continue their study of mathematics. The first chapter, devoted to organizing geometric knowledge, deals with the distinction…

This manual was designed for use with the second 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…

This text is the third of five in the Secondary School Advanced Mathematics (SSAM) series which was designed to meet the needs of students who have completed the Secondary School Mathematics (SSM) program, and wish to continue their study of mathematics. The first of the two chapters in this text deals with equations, inequalities and radicals.…