Several methods of numerical mappings other than the usual cartesian coordinate system are considered. Some examples using parallel axes representation, which are seen to lead to aesthetically pleasing or interesting configurations, are presented. Exercises with alternative representations can stimulate pupil imagination and exploration in…

Examples of some geometric illustrations of limits are presented. It is believed the limit concept is among the most important topics in mathematics, yet many students do not have good intuitive feelings for the concept, since it is often taught very abstractly. Geometric examples are suggested as meaningful tools. (MP)

A test of 1,366 high school students revealed no significant sex differences in the ability to perform geometrical proofs. Boys did outscore girls on overall achievement in geometry, but the results are believed to reflect differential exposure to mathematics outside the classroom. (MP)

Ideas and activities are presented which are designed to help students gain better understanding of area and area formulas. It is felt many pupils have developed extremely vague or false notions about the concepts, and fail to understand why areas of certain regions can be determined through linear measurement tools. (MP)

Geometry is revealed as one of the most universal and useful tools in all parts of mathematics, with the idea of a "pure" geometry divorced from algebra an historically recent idea. (MP)

The rebirth of geometry is predicted in the coming years as the pendulum swings back from extreme devotion to structure, abstraction, and generality. (MP)

The status and nature of geometry as presently taught in English secondary schools is examined. An almost total absence of deductive geometry was found, with many topics such as topology, vectors, coordinates, and transformations introduced but not covered in depth. (MP)

This study tested the relative efficacy of two modes of instruction, individual and traditional, for promoting learning and retention of selected geometrical concepts. The results of the study did not indicate a significant effect on learning or retention due to the mode of instruction. (Author/MK)

In this study with 132 secondary school geometry students, three significant aptitude by treatment interactions were found. Students with high reasoning scores and those with high processing scores profited more from the transformational treatment on point and line symmetry. (MP)

The NCTM delegation's visit to the People's Republic of China in the fall of 1977 is described. Mathematics education in China is presented in terms of mathematical content taught. (MK)

This annotated bibliography includes activities with calculators in the areas of computational skills, geometry, measurement, number pattern recognition, and probability. (MK)

Shows, by a judicious exploitation of the Runge-Lenz vector, that the Kepler initial value problem is endowed with a nice geometric structure which enables one to determine, after a single trivial arithmetic calculation, the orbit associated with any given set of initial data. (Author/GA)

A discussion is given of the techniques for and advantages of using teaching aids based on the "rotogram." (MK)

Some classroom discoveries are reported concerning artistic patterns related to Pascal's triangle that can be generated by the computer. (MP)

Classroom related topics discussed are: cryptics and statistics; understanding absolute value; recognizing quadratic equations with no real roots; and two derivations of a formula for finding the distance from a point to a line. (MP)