The mathematics of information processing and the Internet can be organized around four fundamental themes: (1) access (finding information easily); (2) security (keeping information confidential); (3) accuracy (ensuring accurate information); and (4) efficiency (data compression). In this article, the author discusses each theme with reference to…

Summarized is the research focused on the relationship between children's increasing capacity to process information and the levels at which they should be capable of recognizing mathematical concepts. Implications for mathematics curricula and teachers are discussed. Lists three references. (YP)

Discusses the changing nature of mathematics. Describes how computers, applications, and cross-fertilization have produced new methods, theories, and models in the mathematical sciences transforming it into a powerful collection of tools for science. (RT)

Presents a constructivist view of mathematics, mathematics teaching, and mathematics achievement, and differentiates this view as an alternative to the typical traditional perspective of these terms. Discusses the roots of this approach in contemporary information-processing psychology. (TW)

Uses two studies to examine developmental and task effects in estimation problems. Results are discussed in terms of student and task characteristics and the implications of such variables on information processing model of learning. Implications for science teaching, learning problem diagnostics, and science curricula are also discussed. (TW)