This paper reports two experiments related to elementary school children's learning of geometric concepts. The geometry experiment investigated the effects of location of practice problems within a programmed text; the polygon experiment involved two variables, number of illustrative examples presented, and number of practice problems given. Both…

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 directed segments, applications, components, and inner products. (MP)

This is one in a series of manuals for teachers using SMSG high school supplementary materials. The pamphlet includes commentaries on the sections of the student's booklet, answers to the exercises, and sample test questions. Topics covered include directed line segments, applications to geometry, vectors and scalars, components, inner product,…

This is one in a series of manuals for teachers using SMSG high school supplementary materials. The pamphlet includes commentaries on the sections of the student's booklet, answers to the exercises, and sample test questions. Topics covered include the coordinate system, distance formula, planes and first degree equations in three variables, the…

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) a forerunner of Mascheroni; (2) Mascheroni constructions; and (3) can we outdo Mascheroni. (MP)

This is one in a series of SMSG supplementary and enrichment pamphlets for high school students. The series makes available expository articles which appeared in a variety of mathematical periodicals. Topics covered include: (1) Euclidean constructions; (2) the geometry of the fixed compass; (3) certain topics related to constructions with…

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) geometry and experience; (2) geometry and empirical science; (3) physical geometry; (4) dimension; and (5) curves. (MP)

This volume contains preliminary versions of five of the chapters prepared by the SMSG curriculum project for use in grades 7 and 8. The first four chapters and the tenth chapter in the sequence are presented. The sample chapters in this volume illustrate a number of aspects of the curriculum project: (1) association of ideas of number and space…

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…