Three alternative methods of finding averages of two numbers are presented. (MP)

An introductory multiplication lesson, used successfully with second graders, is detailed. The method takes advantage of prior knowledge acquired in a geometry unit of study. The lesson is seen to have potential for other grades teaching multiplication for remedial work, and explaining the commutative law. (MP)

The use of pictures in the early instruction of doubles in basic addition is promoted. The process used in the Illinois University Mathematics Learning Clinic is detailed. Doubles are seen to be among the easy facts that children are capable of learning first. (MP)

This heat transfer problem requires students to analyze the feasibility of moving icebergs from the Antarctic to Saudi Arabia to provide fresh water. (BB)

This problem requires the student to calculate the volume of air breathed by a bicyclist every hour in Denver, Colorado, and New York City. (BB)

A calculator solution of a simple computational problem is discussed with emphasis on its ramifications for the understanding of some fundamental theorems of pure mathematics and techniques of computing. (Author/MK)

This is a preliminary report on research into computational errors made by six- and seven-year-olds. (Author/MK)

Discussed is the classical partition function for the ideal gas and how it differs from the exact value for bosons or fermions in the classical regime. The differences in the two values are negligible hence the classical treatment leads in the end to correct answers for all observables. (Author/DS)

A teacher describes the experiences of her fourth-grade students when using calculators during mathematics class. (MK)

This annotated bibliography includes activities with calculators in the areas of computational skills, geometry, measurement, number pattern recognition, and probability. (MK)

Ways of using calculators to presents the concept and methodology of concurrent processing are discussed. Several problems that could be used to compare sequential versus concurrent processing are presented. (MK)

The computational difficulty of the word problem sections of eight standardized achievement tests was analyzed with respect to the variety of computational procedures and the number of digits per whole number computation. Analysis reveals considerable variation among the current tests in terms of computational procedure and difficulty. (Author/MK)

Calculator-based activities are presented that may be used as the framework for a unit to replace much of the usual algebra material on exponential functions and logarithms. (MP)

The internal operations of this computer symbolic mathematics system are described in detail in order to explain the accomplishments of the computer. (MP)

The results of this study show no evidence of a decline in mathematics learning in elementary school classes that used calculators and suggested that primary students may benefit from using calculators. (MP)