The application of the programmable calculator to evaluating complicated formulas is illustrated by considering the formula for finding the area of any triangle when only the lengths of the three sides are known. Other advantages of the programmable calculator are discussed such as freeing the student to explore more challenging problems and…

This document provides abstracts of 20 research reports. Topics covered include: children's comprehension of simple story problems; field independence and group instruction; problem-solving competence and memory; spatial visualization and the use of manipulative materials; effects of games on mathematical skills; problem-solving ability and right…

These 18 bulletins list references on the uses of calculators pertinent to education. They were published at intervals to provide teachers and other interested persons with sources of information about calculator activities and research findings. The bulletins focus on several categories of references: (1) articles on instruction with hand-held…

These student worksheets include activities in counting, place value, estimation, the four operations with whole numbers, number patterns, volume, inequalities, decimal equivalents of fractions, and percents, all to be worked with a calculator. (MP)

Five different ways are outlined in which calculators can be used to develop a student's ability: (1) to solve problems which use real-world data; (2) for solving a greater number of standard word problems; (3) for using different approaches to solve problems; (4) for extending problem situations; and (5) for using the calculator in an…

A BOOKLET DESIGNED FOR ELEMENTARY SCHOOL STUDENTS TO BE USED INDEPENDENTLY FROM AND IN ADDITION TO THE REGULAR CLASSROOM CURRICULUM IN MATHEMATICS IS PRESENTED. THE FIFTH- OR SIXTH-GRADE STUDENT IS GIVEN PRACTICE IN WORKING PROBLEMS IN SUBTRACTION AND DIVISION. SHORT CUTS AND HINTS ARE PRESENTED THROUGH EXAMPLES, SAMPLE PROBLEMS, AND ANSWERS. THE…

Explained are the rationale and procedures for determining a college student's family's ability to contribute to payment of educational costs, as structured by the Congressional Budget Office. The problems of these calculations--including difficulties in obtaining enough information about state and local taxes, and possible changes in consumption…

This experiment was conducted to determine the efficiency of three forms of an algorithm of known effectiveness and the effects of its availability following initial instruction. The dependent variable was time to solve computational problems requiring rule application. The algorithm was presented in three forms: prose, flowchart, and gradual…

This is the second in a series of documents developed by the National Training and Operational Technology Center describing operational control procedures for the activated sludge process used in wastewater treatment. This document deals exclusively with the calculation procedures, including simplified mixing formulas, aeration tank…

This is the third in a series of documents developed by the National Training and Operational Technology Center describing operational control procedures for the activated sludge process used in wastewater treatment. This document deals with the calculation procedures associated with a step-feed process. Illustrations and examples are included to…

The purpose of this study was to determine whether the use of electric calculators offered an effective remedy for the lack of success and the corresponding negative attitude of the low achiever in mathematics. Two hundred and one low achievers were randomly scheduled into one of five control sections or into one of five experimental sections.…

A diagnostic computational test given to 22 arithmetic teachers in 1930 was administered to a similar group of 35 elementary school teachers in 1973. The purpose was to compare and contrast computational errors made by the teachers. Findings revealed that 1973 teachers possess, on the average, more computational skills than the 1930 teachers. Both…

This handbook, the result of a study begun in 1968, is designed to assist the forecaster in developing an increased sensitivity to potential changes in conditions affecting enrollments. Study results indicate that school enrollment forecasting is enhanced primarily by (1) knowing the community involved thoroughly, (2) applying a standard…

The effect of the use of calculators on learning and on calculation is discussed. Also, the effects of the use of calculators in developing countries and for deprived minorities are discussed. (MP)

Two simple quantitative models were derived from a series of experiments which explored the role of information storage in working memory when performing mental arithmetic. The decay model is a tractable analysis of a complex task which assumes a decay process in working storage. Similar analyses are recommended for problem solving activities…