A problem solving approach to the teaching of the Pythagorean Theorem is described. (SD)

In the experiment discussed, three modes of presenting materials to second grade students were compared. Data analysis showed that the abstract mode was less successful than the others, but there was no clear difference between the manipulative and pictorial modes. (SD)

The author describes a model for operations on the set of rationals. Thi s model, used by students in a laboratory situation, is based on an easily constructed number balance. (SD)

Meaningful educational activities and cognitive tools might improve students' active involvements in the teaching-learning process and encourage their reflections on the concepts and relations to be investigated. It is claimed that usage of manipulatives not only increase students' conceptual understanding and problem solving skills but also…

This paper examines two major questions regarding the use of manipulatives in teaching and learning mathematics in the elementary school. First, what does recent research indicate about this topic? It was found that research predominately favors the use of manipulatives with strong support for the use of appropriate kinds of manipulatives for the…

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…