Some students can perform operations on fractions when using physical materials, but are unable to transfer this ability to operations with symbolic expressions. They seem to view the manipulative and paper-and-pencil problems as different and are not surprised to get different answers. (SD)

An activity is described which can be used to introduce students to the general divisibility test for nine. (JP)

An activity is presented that involves an unusual multiplicative operation on natural numbers. Described are interesting properties that students may discover when using the new operation. (JP)

The use of Cuisenaire rods to illustrate finite mathematical systems is presented. (CR)

This book is for boys and girls who know the numbers from one to thirty thoroughly, who can count to one thousand, who know something of the multiplication tables of two, three, four, five, six, ten, and twelve, and who understand the simplest facts about fractions. This book is both to be read and to be studied. It calls for oral recitation and…

As one in a series of test item collections developed by the Assessment and Evaluation Unit of the Directorate of Studies, items of value from previous tests are made available to teachers for the construction of pretests or posttests, reference tests for inter-class comparisons and general assignments. The collection was reviewed for content…

The origin, properties, and applications of various number systems are discussed. Among the 15 topics discussed are: tests for divisibility, the binary system, the game of Nim, computers, and infinite number representations. (MK)

THIS IS VOLUME 1 OF A THREE-VOLUME EXPERIMENTAL EDITION CONTAINING A SEQUENCE OF ENRICHED MATERIALS FOR SEVENTH-GRADE MATHEMATICS. THESE MATERIALS ARE DESIGNED FOR A PROGRAM OF INDIVIDUALIZED INSTRUCTION FOR THE ACCELERATED STUDENT OR FOR CLASSROOM PRESENTATION BY THE TEACHER. THE PRESENTATION OF THE MATERIAL IS IN SUCH A MANNER AS TO REFLECT…

THIS DOCUMENT IS A TEACHING GUIDE TO AID IN THE USE OF CUISENAIRE MATERIALS TO PRESENT FUNDAMENTAL MATHEMATICAL CONCEPTS TO ELEMENTARY SCHOOL CHILDREN. CONCEPTS OF AND EXERCISES IN COUNTING, NUMBERING, ADDING, DIVIDING, SUBTRACTING, AND MULTIPLYING ARE EMPHASIZED. IN ADDITION, CONCEPTS OF FRACTIONS, DISTRIBUTIVE PROPERTIES OF NUMBERS, RECTANGULAR…

Children from kindergarten through grade 2 were asked to copy, then print from memory, each of the 41 reversible letters and numbers administered individually on slides presented in random order. The main findings of an experiment with 179 children drawn from two elementary schools show that mirror-image reversals and other errors (1) take place…

This basic introduction to microcomputers provides the neophyte with the terminology, definitions, and concepts that explain the microcomputer and computing technology in general. Mathematical operations with binary numbers, computer storage, controlling logic, and the concepts of stack and interrupt are explained. (RAO)