Presented are some of the special properties possessed by a triangle in which the measure of one of its three angles is one-half the measure of another of these angles. The author names such a triangle a vux triangle. (RP)

The lack of an adequate conceptual foundation in mathematics appears to have hindered the scientific discovery process. The author cites several examples from the history of science and mathematics. Implications for inquiry teaching -- both science and mathematics teachers must cooperate in helping students acquire the appropriate mathematical…

Mathematical concepts used in modern algebra are shown to be useful in modeling syndetic structure employed in information retrieval systems. The equivalence relation can represent "see also" components of traditional library catalogs; partial orderings and mappings assist in modeling syndetics in sophisticated systems such as thesauri.…

An attempt is made to detail the nature of mathematics as perceived by mathematicians. Mathematics is viewed here as both abstract and an experimental science. The typical working mathematician is described as proceeding through problems with an attitude of discovery and examples of such an approach are given. (MP)

A new kind of intelligence test is discussed, the Kaufman Assessment Battery for Children (KABC). It is felt those who think mental measurement should tell how a child will perform will not like the KABC, while it, more than any other test, allows children of different backgrounds to do equally well. (MP)

A traditional question is whether or not computers shall ever think like humans. This question is redirected to a discussion of whether computers shall ever be truly creative. Creativity is defined and a program is described that is designed to complete creatively a series problem in mathematics. (MP)

Investigates development of mathematical concepts among West African children from an agricultural tribe (Baoule) and a merchant society (Dioula). Baoule and Dioula children at three age levels participated: Preschoolers, 5-6 years; 7- to 8-year-olds with one year of school; and schooled and unschooled 9- to 10-year-olds. Experimental tasks…

An attempt is made to link the domain of mathematics and the natures and abilities of mathematicians to that which is perceptual, presentational, and implicit. (MP)

The creation and nature of rules in mathematics are discussed. It is noted that students may build up an image of mathematics as only a collection of rules with much of it mindless. (MP)

An outline of a model that provides a new perspective on the conceptual foundations of mathematics and a new approach for the study of children's acquisition of numerical operations is proposed. Attention is viewed as a pulse-like succession of moments and is supported by recent data from neurophysiology. (MP)

An analysis of four months of front-page newspaper articles to determine the amount of mathematics necessary to understand these articles is presented. (MP)