This teaching experiment investigated variables which affect how well children learn from manipulative aids and how to use such aids in teaching mathematics. Five small groups from one second-grade classroom were stratified by achievement and taught using (1) counting sticks; (2) Dienes blocks; (3) abacus; (4) all three materials; or (5) counting…

In this guide for teachers using the SMSG text materials for grade 5, five chapters on numeration systems, factors and primes, multiplication and division, and congruency of geometric figures are considered. The purpose is stated for each unit and mathematical background for the teacher is presented. Teaching procedures are then detailed through…

This guide for teachers using the SMSG text materials for grade 5 considers four chapters on addition and subtraction of rational numbers, measurement of angles, area, and ratio, plus a review of the fifth-grade program. The objectives or purposes for each unit are given, followed by mathematical background. Detailed lesson plans are then…

In this guide for the SMSG text materials for kindergarten, an overview describes the philosophy behind the program. Mathematical background is presented, followed by activities to develop concepts on sets, recognition of geometric figures, comparison of sets, subsets, joining and removing, comparison of sizes and shapes, ordering, using geometric…

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 fifth. This set of volumes differs from the regular editions of SMSG junior high school texts in that very little reading is required.…

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 seventh. This set of volumes differs from the regular editions of SMSG junior high school texts in that very little reading is required.…

In an attempt to prepare students for units analysis in the solution of problems in high school chemistry and physics, the author developed learning packets on the factor label method. Thirty-three students used these packets individually during a regular tenth-grade geometry class. There were two packets, each to be used for two days. Prior to…

A criterion-referenced test battery was devised for use with the mathematics program of the Mamaroneck Public Schools (New York) in 1971. After two annual administrations, the tests were revised in four ways. The format was changed, and the number of items dealing with geometry was increased; some items were revised to conform better with the…

THis is one of eighteen sets of individualized mathematics problems developed by the Oregon Vo-Tech Math Project. Each of these problem packages is organized around a mathematical topic and contains problems related to diverse vocations. Solutions are provided for all problems. Problems in this volume concern use of decimals and are related to the…

This is one of eighteen sets of individualized mathematics problems developed by the Oregon Vo-Tech Math Project. Each of these problem packages is organized around a mathematical topic and contains problems related to diverse vocations. Solutions are provided for all problems. This volume presents problems involving operations with positive and…

This is one of eighteen sets of individualized mathematics problems developed by the Oregon Vo-Tech Math Project. Each of these problem packages is organized around a mathematical topic and contains problems related to diverse vocations. Solutions are provided for all problems. This volume includes problems concerned with computing percents.…

The sixteen chapters of this book provide the core material for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functional-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…

This report, the first of several to be published on the results of the 1972-73 assessment of mathematics, begins with a brief general discussion of the project. The findings with respect to pure computation and computation with translation are then presented in some detail. Data collected from subjects at four age levels (9, 13, 17, and adult)…

The effects of types of both memorized items and probes (digit, word, and dot pattern), using Sternberg's character-recognition procedure, were studied. Reaction time (RT) was a linear function of the set size of memorized items consistent with a serial search model. Response type (positive or negative) affected the encoding time (intercept of RT…

The major question this study attempted to answer was, "Can conservation of number, area, weight, mass, and volume to be induced and retained by 3- and 4-year-old children by structured instruction with a multivariate approach? Three nursery schools in Iowa City supplied subjects for this study. The Institute of Child Behavior and Development…