Mathematics exercises involving the number of electoral votes, the apportionment of representatives, and population data are described in detail, with solutions given. (DT)

Discusses how a teacher might initiate work with computers in his or her school. (MM)

Patterns in modular arithmetic are discussed: (1) multiplication tables, and (2) diagrams obtained by joining points on the circumference of a circle. (MM)

Described is a mathematics program in Kent, Great Britain, for Primary and Secondary school children. The project includes auto-instruction, individualized instruction, and multi-media instruction. The program covers many mathematical concepts including number concepts, geometry, algebra, topology, statistics, and computer technology. (JG)

Notes on divisibility using manipulative materials, cyclic groups of functions, Horner's method of synthetic division, arc lengths of cycloids and cardioids, number squares, and students' concepts of mathematics. (MM)

For students having had instruction in plane affine geometry and two-dimensional vector spaces. The author describes how the metric concepts of distance and orthogonality can be introduced to secondary school students by the use of conics. (JG)

The aims of this project, which is developing a new Advanced Level course for use in English schools, are illustrated by examples of their textual materials. (MM)

Notes on De Morgan's rules; a perpetual calendar; the use of coloured rods; a balance problem; a graphical approach to natural logarithms; a problem in geometric probability; and the parallelogram law of forces. (MM)

This annotated listing of research in mathematics education is divided into the three categories of (1) research summaries, (2) journal-published reports, and (3) dissertation abstracts. Following each annotation is an indication of the grade or age level involved in the study. (JG)

The predicted and actual achievement in college calculus is compared for students who had studied two semesters of calculus in high school. The regression equation used for prediction was calculated from the performance data of similar students who had not had high school calculus. (CT)

Discussed are some applications of Euler's Formula N plus F minus E equals Z, where N, F, and E are respectively the number of vertices, faces, and edges of a planar figure. In particular, the Four-Color Problem is proved for the special case of five countries. (CT)