This problem deck is designed for use after having covered the material in an accompanying skills booklet. It provides for further use of the skills with problems involving four skills at five levels of difficulty. The four skills involve using guesses as a strategy in solving computation problems, two-step problems, situations that require…

This book is one in a series developed to bridge the gap between the reasoning process and the language of mathematics. Chapter one of each volume discusses the theoretical concepts which are essential in understanding the calculations presented elsewhere in the book. This book's chapter 1 deals with basics such as fractions, decimals, ratios,…

This investigation sought to determine the effect of emphasizing mathematical structure in the acquisition of computational skills by seven- and eight-year-olds. The meaningful development-of-structure approach emphasized closure, commutativity, associativity, and the identity element of addition; the inverse relationship between addition and…

Experiments dealing with quantification processes in adults were run as part of an attempt to formulate an information processing model of cognitive development. The existence of three quantification operators--subitizing, counting and estimation--was first postulated. Experiments were then designed to refine the parameters which define the…

The Omron Company produced a 30 page comic book designed to introduce children of elementary school age to electronic calculators in general and to teach them how to operate its Omron calculator. The book provides sample diagrams of and operating instructions for the machine and illustrates through the activities of its major characters the…

One hundred seventy-six seventh grade students underwent a recorded interview where each was given a set of computational exercises and asked to say aloud his thinking as he worked them. The most frequently used strategies in computations with whole numbers and fractions are described in detail, an analysis of the nature of wrong answers is…

Basic skills are defined as the method of inquiry or the process of mathematics. The calculator is discussed as being potentially useful in extending process skills. (MP)

Instruction of three children using calculators for a ten-week period resulted in achievement gains. (MNS)

Thinking strategies that are related to counting are discussed and activities that are necessary for the understanding of number and counting are suggested. (Author/MP)

These worksheets represent gameboards designed to provide practice in estimation using a calculator. Worksheets are presented for estimation in addition, sums and differences, products, and quotients. (MP)

Allowing students to examine different ways of performing an operation is suggested as a means of increasing their understanding. (MP)

This article shows how an inexpensive calculator can be used advantageously to determine repeating decimals. Even the decimal representations of numbers, such as one-seventeenth and one-nineteenth, can be easily computed. Many examples are given, and some theoretical discussion is included. (Author/MP)

Shortcuts to use when performing operations with the calculator are given. Algorithms discussed include reciprocals, powers, parentheses, infinite series, and synthetic division. (MP)

The first part in the serialized version of a book on the use of calculators for problem solving is presented. It contains prefaces for teachers and students and a chapter on getting started which includes topics such as symmetries, operations, powers, and chaining. (MP)

A short set of materials is presented on loops. Three worksheets illustrate loops with paper and pencil, calculator, and computer, respectively. A computer program is given. (MP)