This booklet is a collection of puzzles, investigations, and games. They are designed to be used with large objects such as tins or stones and diagrams marked on the ground. The children are to be encouraged to use an experimental, trial-and-error approach at first, and then develop methods of solution. (MNS)

This booklet is a collection of puzzles, games, and investigations. All that children need are some stones or shells, on some of which they must write numerals. For playing with the whole class, the game or puzzles may be marked out on the floor or in sand; in that case, larger objects such as small rocks and empty tins may be used. Children are…

This document contains detailed directions for constructing a device that mechanically produces the three-dimensional shape resulting from the rotation of any algebraic line or curve around either axis on the coordinate plant. The device was developed in response to student difficulty in visualizing, and thus grasping the mathematical principles…

Students enjoy learning by doing and by manipulating objects. This paper describes classroom activities using rods with various lengths and different colors. The activities included are: (1) preparation of rods; (2) elementary addition and subtraction; (3) fractions; (4) concept of greater than, less than, and equals; (5) simple division and…

To investigate similarity judgements in different cultural contexts, the performance of two groups of children on seven similarity tasks and on two tests of metaphor was compared. The 45 Canadian and 45 Canadian-Greek children (ages 5, 8, and 11) had different cultural and linguistic backgrounds but common schooling experiences. The seven tasks…

Evaluated were effects of experience with two physical science units adapted for use by the visually impaired on the manipulative skills of 14 visually impaired low income students from 9 to 19 years of age. (DB)

This collection of activities is organized into two sections. The first, entitled "Manipulatives," suggests materials which may be used to introduce or reinforce mathematical concepts such as: basic arithmetic operations; place value; long division; percents; multiples and common denominators; informal geometry including area, perimeter…

Many children are known to leave school with mathematical deficiencies, particularly from the inner city. While manipulatives are generally used to teach and reinforce understanding of operations, concepts, and abstractions, the use of concrete objects is not viewed to fully involve the student in the learning process. A finger system of…

This area package emphasizes three facets: (1) the concept of area as a covering; (2) the square unit; and (3) formula development. There are two enrichment activities included. The first requires the aid of a programmable calculator or computer. (Author/MK)

This module utilizes hole punching with a pencil, paper folding, rubber band stretching, and unique board models to "picture" key geometric concepts in an intuitive manner. The module is virtually self-contained, except for common classroom items which are scissors and a protractor. The introductory lesson allows for a variety of approaches for…

The objectives of this module on making comparisons and ratios include using ratios to compare sets of objects and expressing ratios as decimals or fractions in lowest terms. The module provides six experiments. An envelope of manipulatives accompanies each of the first three experiments. The fourth experiment requires a multispeed bicycle. The…

Research reported primarily from 1970 through 1975 on the use of manipulative materials at the elementary level (K-7) is reviewed. The research is categorized as deisgn-oriented research, content-oriented research, and catalogs of manipulatives. Each section contains a summary followed by abstracts for each study. References to the theoretical…

This booklet describes activities and materials which can be planned and constructed from inexpensive and easily obtainable materials. The activities are used for the earliest primary grades (K-3), remedial, and special education classes. For each activity the objective, materials, and procedure are described. Topics include introduction to number…

The purpose of this study was to analyze the relationship of a child's performance in solving addition and subtraction problems using concrete embodiments compared to his performance using the symbolic mode. A random sample of 144 second grade children were tested. It was found that children proficient in regrouping addition and subtraction…