The author presents research implications in the areas of geometric capabilities of elementary school students, instructional variables related to geometry achievement, transfer effects, and some findings concerning teachers and geometry. (JG)

Guidelines for helping teachers understand the informal geometry of the elementary school mathematics program are presented. (JG)

Describes a study to determine the relative effects of formal deductive presentations versus informal inductive presentations and the effect of the number of exercises completed with each learning set on seventh grade students. No reliable difference between the modes of instruction was shown; the number of exercises per set made no significant…

A definition is given for curves parallel to a closed curve. Equations for inner and out elliptic parallels are derived and explained. (RS)

Included are eleven short articles on various aspects of mathematics. (FL)

Article gives a brief history and suggestions for the proof of the theorem that of all plane figures with a common perimeter, the circle has the maximum area. (RS)

Asserts that when college mathematics is taught as one of the liberal arts, Euclid's Elements of Geometry, which is one of the oldest math textbooks, may still be the best, because it helps students understand what is "lovely about mathematics". Suggests that "Elements of Geometry" promotes the mental exercise that comes from…

Explores aspects of data fusion (DF) for information retrieval (IR) using a set of data from the Fifth International Conference on Text Retrieval (TREC5). Derives an equation for effective DF based on a geometric model and shows that the performance of a pair of IR schemes may be approximated by a quadratic polynomial. (Author/LRW)