This guide represents the final experimental version of a pilot project which was conducted in the United States between 1973 and 1976. The ideas and the manner of presentation are based on the works of Georges and Frederique Papy. They are recognized for having introduced colored arrow drawings ("papygrams") and models of our numeration…

This project's main objective in developing and implementing a computer-assisted instruction laboratory program in mathematics and initial reading was to individualize instruction so that each child could progress at his own pace through a subset of materials best suited to his aptitudes and abilities. This theory of instruction attempts to…

Intended for the teacher of the educable mentally retarded, the guide uses three approaches to teaching mathematics: the systematic teaching of basic skills, the unit approach to apply skills and concepts from several subject areas to a common topic, and the incidental application of learned skills to current experiences. Structured by…

This paper is a report of the proceedings and a synthesis of discussion from a conference on the state of basic skills in American education held in Racine, Wisconsin, in April 1977. The participants were national education leaders, including specialists in different curriculum areas, legislators, public school administrators, and leaders from…

This document is a collection of course outlines, syllabi, and test materials designed for several high school level and lower division mathematics courses taught in an auto-tutorial learning laboratory at Skagit Valley College (Washington). The courses included are: Pre-Algebra, Basic Algebra, Plan Geometry, Intermediate Algebra, Probability and…

This article discusses the challenge mathematics educators face in deciding what and how mathematics is to be taught, and offers some suggestions for teachers of young children based on Piaget's developmental theory of mathematics. Piaget's cognitive stages are briefly described and the concrete stage, which spans the age range included in early…

The interest-based curriculum materials are designed to correlate the subjects of English, math, science, and home economics in an effort to infuse academic skills into the world of work. The curriculum guide is designed for mathematics curriculum and is divided into 11 sections: orientation, whole numbers, common fractions, decimal fractions,…

Even after a number of innovative programs and proposals have met selective criteria, the Educational Research Commission will have a difficult task in assigning priorities and spreading resources. This paper offers many suggestions for handling the problems in research and evaluation related to innovative mathematics projects, especially K-3. For…

This document, based on mathematical research conducted by the Instituto Colombiano de Pedagogia, is the first in a series of scheduled publications designed to report recent findings to teachers and to offer new methodological guidelines in teaching math. This document suggests elementary-level learning activities for helping the students develop…

Argues that the use of computer technologies in secondary schools should change the nature of mathematics education. Urges the rethinking of the uses of traditional paper-and-pencil computations. Suggests some computer applications for elementary algebra and for problem solving in arithmetic and calculus. (TW)

Reports on the progress of a project designed to establish both a research agenda for mathematics education and a conceptual framework for such an undertaking. Describes four conferences which have been organized to consider teaching problem solving, effective teaching, teaching and learning algebra, and middle school number concepts. (TW)

Considers the problem of how to go from three coordinates to two. States that it is not a problem that mathematics students ordinarily encounter. Presents four methods of graphing three-dimensional figures on a two-dimensional computer screen. (PK)

Confronts a widespread prejudice about mathematical knowledge, that mathematics is "culture-free," by demonstrating alternative constructions of Euclidean geometrical ideas developed from the culture of Mozambique. As well as establishing the educational power of these constructions, the article illustrates the methodology of…

Examined is the cultural impact--both actual and potential--of the computer on children's mathematical education. The ways in which the introduction of the computer does and will change the ambient space in which children learn mathematics is considered. (Author/PK)

Investigates the arithmetic curiosity that when any integer is raised to the fifth power, the digits unit of the result is always the same as the digits unit of the original number. Explores results in number bases other than 10 via the computer. (PK)