This report is based on initiatives, investigations, developments and evaluations made over a three year period. The recommendations are made generally to people and organizations who are concerned with the science and mathematics education of young people aged 11 to 16. The intentions of the recommendations were to help teachers and examiners to…

Rules are given for games (using dominoes) aimed at reinforcing the student's concept of fractions. (DT)

A series of activities designed to help primary school children understand the meaning of the term "fraction," the symbolization, and equivalence of fractions are presented. Identification of units and pictorial representation are stressed, as is the uses of concrete materials. (SD)

Multi-shaped blocks can be used to help young children develop many mathematical concepts and abilities. Several suggestions for using these blocks to create problem situations through which children develop concepts are offered. (SD)

This inservice package for teachers provides a rationale for using blocks to enrich the young child's classroom environment and suggests numerous ways blocks can be used to encourage the physical, intellectual, social and emotional development of young children. A brief delineation of the developmental aspects of the block play stages through…

This study concerns concrete manipulatives for use in mathematics education, specifically in the realm of negative numbers and the operations on them. The author presents a review of relevant theory, practice, and research and develops guidelines regarding characteristics of manipulative materials. He concludes that present practice in teaching…

The purpose of this study was to assess the usefulness of the elementary mathematics program Developing Mathematical Processes (DMP) for educable mentally retarded (EMR) students. The subjects of this study were 10 children from an intact class designated EMR. The children ranged in age from 7 to 12 years. The 1972 Developmental Edition of the DMP…

This booklet is a revised edition of Donovan Johnson's "Paper Folding for the Mathematics Class" (ED 077 711). It begins with directions for folding basic constructions such as as a straight line, the line perpendicular to a given line passing through a given point, and the bisector of an angle. Subsequent chapters cover concepts related to…

Directions and materials for 57 mathematical games and activities are provided in this commercially-prepared package. Suggested use is with pre-school through third grade levels. General content areas include functions and graphs, geometry, logical thinking, measurement, numbers and operations, problem solving, sets, and statistics and…

The purpose of this study was to determine whether the use of electric calculators offered an effective remedy for the lack of success and the corresponding negative attitude of the low achiever in mathematics. Two hundred and one low achievers were randomly scheduled into one of five control sections or into one of five experimental sections.…

A description and evaluation are given of the Individualized Mathematics (IM) program. IM is an outgrowth of the work of the Learning Research and Development Center (LRDC) at the University of Pittsburgh. The program has developed and implemented manipulative lessons for primary grade (K-3) students. Like other LRDC programs, this one includes…

A collection of articles from the ARITHMETIC TEACHER is presented which are about practical, classroom-tested ideas for the instruction and use of teacher-made instructional aids. These entries deal only with manipulative type aids. They have been selected for the clarity of purpose and relationship to contemporary topics in the elementary school…

The purpose of this study was to investigate the effectiveness of guided discovery and concrete materials on mathematics learning. From the seventh grade of one school, 40 students were selected who were at least one standard deviation above or below the mean on two mathematics achievement tests. Five high ability and five low ability were then…

This collection includes a list of suppliers, prices, and descriptions of commercially available teaching materials classified into the five categories of attribute games, basic structural materials, basic operations, geometry, and measurement; suggestions for using "junk" materials and for developing and selecting task cards; and checklists for…