Four Programing systems--Mentor, Stringcomp, Simon, and Logo--were designed and implemented as integral parts of research into the various ways computers may be used for teaching problem-solving concepts and skills. Various instructional contexts, among them medicine, mathematics, physics, and basic problem-solving for elementary school children,…

An attempt was made to determine what factors relate to achievement in language arts, mathematics, and certain attitudes in an individualized programmed instruction school. A total of 87 fifth grade pupils were tested both in the Fall and Spring using the Commonwealth of Pennsylvania's Pennsylvania Questionnaire and the Stanford Achievement Test.…

Provides several examples of the use of Logo in working with fractions and manipulating vectors. Includes an exercise which deals with the relationship between the two and several exercises which address various problems using different kinds of fractions. (TW)

When instruction is weak and inappropriate to a goal, only students with high intelligence and aptitude learn rules for problem solving. All students learn, when given time, help, and opportunity to practice problems. (RL)

Describes the use of the principles of challenging work, student autonomy, and student collaboration to involve students in constructing mathematical meaning as part of the regular curriculum. Challenge is created by the material and by the classroom environment to encourage student interest and thinking. Autonomy is encouraged by leading students…

Provides a bibliography of children's literature exploring mathematical concepts: classification; place value and numeration systems; counting, addition, and subtraction; multiplication and division; fractions; estimation; big numbers; geometry; measurement; and games and puzzles. Highlights one book for each concept, suggests class activities,…

Describes a classroom project integrating children's literature, Japanese culture, and geometry that grew out of the local killing of a Japanese exchange student. Fourth-graders read "Sadako and the Thousand Paper Cranes" around which the interdisciplinary unit was developed. Topics covered included Japanese culture, American social…

Provides an annotated list of references on specific topics covering computers in general science and math. Topics include: artificial intelligence, CAI, LOGO, a heat capacity experiment, microcomputer tutorials, a Monte Carlo simulation, factoring, a geology simulation, polynomials, spreadsheets, a gas model simulation, integers, and…

Described is a computer algebra system that can be used to help students understand the calculus. Provides several examples of solving calculus problems using muMATH. Lists eight references. (YP)

Profiles a very perceptive teacher of transition and first grade classes and three of his insightful students. The profile illustrates how mathematics is embedded in the activities of everyday life, including playground activities, and how teachers can help young children learn to think as mathematicians think. (BB)

Procedures to overcome four major factors that cause many middle-school-aged students to lose interest in, and start having trouble with, learning mathematics are discussed. The factors are identified as consisting of more difficult mathematical content, students' orientation toward concrete learning, peer influence, and students' rapid physical…

Explored were the relationships among students' mathematics language facility, procedural mathematics knowledge, and understanding and application of mathematics concepts. Findings indicate that students needed both procedural knowledge and language facility in mathematics for an acceptable level of conceptual achievement. (CW)

Describes three activities to teach mathematical concepts involving probabilities related to outcomes using "Sicherman" and other dice; geometric representations of algebraic identities; and the volume of a cone. (MDH)

In this study we investigated above-average high school calculus students from Japan and the United States in order to determine any differences in their conceptual understanding of calculus and their ability to use algebra to solve traditional calculus problems. We examined and interviewed 18 Calculus BC students in the United States and 26…

Background: Arithmetical skills are essential to the effective exercise of citizenship in a numerate society. How these skills are acquired, or fail to be acquired, is of great importance not only to individual children but to the organisation of formal education and its role in society. Method: The evidence on the normal and abnormal…