This article presents, in the context of solving a specific mathematical problem, an argument to indicate how problem posing can lead to a deeper understanding of what is involved in the act of problem solving. (DT)

Four problems concerning the maximum number of regions determined by circles and polygons are explored. (DT)

A geometric interpretation is given to the arithmetic, geometric, and harmonic means of two positive numbers a and b, and a fourth fundamental mean, the root mean square, is introduced. Results are generalized to three dimensions, and other types of means are discussed. (DT)

This article presents a geometric construction in which the quadratic, arithmetic, geometric, and harmonic means are drawn together in a single diagram. (DT)

An algebra problem is analyzed, and several variations are suggested for further student inquiry. Practical applications of the problem are discussed. (DT)

Geometric models are used to study numerical relationships in summation formulas. (DT)

This is the second part of the bibliography published in the November 1976 issue, listing articles concerned with mathematics beyond that usually taught at the junior high level. Articles are listed concerning mathematical books, periodicals, mathematical societies, and mathematicians of ancient times through the 20th century; a miscellaneous…

Differences in mathematics performance between boys and girls were investigated. Tests with content appropriate for boys or for girls were given randomly to 163 boys and 147 girls from ten high schools. Differences in performance favored the boys. Students' performance tended to be better on questions with sex-appropriate contextual settings. (DT)

Several successful general teaching techniques are discussed. (DT)

The author examines some of the problems encountered in counseling academically gifted students. (HMV)