Discusses both the interference from language categories in language learning and the methodology of linguistic anthropologists in discovering and describing language categories which lack the formal characteristics of grammatical categories; this amounts to analysis of semantic components. (Author/JM)

Part of the report by the Committee on Support of Research in the Mathematical Sciences is presented. It deals with an overview of the mathematical sciences from past to present. (JG)

Describes adaptations of Mme Papy's minicomputer to the classroom. Specific examples include correlation with Cuisenaire rods, currency applications, and liquid measure applications. (RS)

by a geometric method, a one-to-one correspondence is set up between the set of real numbers and the set of all points, except one, on a circle of unit diameter. Then some interesting results relating the corresponding points and real numbers are derived. (Author/CT)

Solution of, and commentary on, a problem suitable for use in the secondary school mathematics classroom. Topics from arithmetic, algebra, and number theory appear in a unified way. (FL)

Provides an example of an attempt to base an epistemology of teaching and education on the powers of the mind rather than on the impacts of the world upon the mind. In this discussion, the example selected is related to numbers and the teaching of mathematics. (RP)

Describes the development of one of Euler's infinite series for pi. Includes a computer program for computational verification output of two series which converge to pi. (RS)