THE PURPOSE OF THIS BOOK IS TO DESCRIBE LEARNING AIDS THAT MAY BE MADE BY A TEACHER OR CHILDREN FOR USE IN MATHEMATICS PROGRAMS IN THE ELEMENTARY SCHOOL. THESE AIDS ARE OF TWO TYPES--MANIPULATIVE AND VISUAL. DESCRIPTIONS IN THIS BOOK INCLUDE (1) THE PURPOSE OF THE TEACHING AID IN A MODERN MATHEMATICS PROGRAM, (2) EXAMPLES OF ITS USE, AND (3) ITS CONSTRUCTION. IN MANY CASES, EXAMPLES GIVEN COVER ONLY A FEW OF THE WAYS IN WHICH THE DEVICE CAN BE USED. EXPLORATION OF OTHER USES IS LEFT TO THE TEACHER AND CHILDREN. TOPICS REPORTED INCLUDE (1) UNDERSTANDING NUMBER-NUMERAL CONCEPTS, (2) THE MEANING OF NUMBER AND NUMERAL, (3) UNDERSTANDING OPERATIONS ON WHOLE NUMBERS, (4) UNDERSTANDING NONNEGATIVE RATIONAL NUMBERS, (5) UNDERSTANDING GEOMETRY, AND (6) THE NUMBER LINE AS A MATHEMATICAL DEVICE. THE APPENDICES DESCRIBE MATERIALS USED IN MAKING TEACHING AIDS, DISCUSS OTHER AVAILABLE DEVICES AND MATERIALS THAT ARE ADAPTABLE FOR ELEMENTARY CLASSROOM USE, AND LIST COMMERCIAL SUPPLIERS OF MATHEMATICS TEACHING AIDS. THIS DOCUMENT IS AVAILABLE FROM THE WADSWORTH PUBLISHING COMPANY, 10 DAVIS DRIVE, BELMONT, CALIFORNIA 94002. (RP)