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)

worksheets are presented in which students connect the midpoints of the sides of triangles and quadrilaterals and record measurement data of segment lengths to derive relationships. (JP)

The distance between two points in the plane defined as the distance traveled from one point to the other by moving parallel to the coordinate axis is called the Manhattan metric. Resulting geometric figures based on this measure are discussed. (JP)

The use of matrix multiplication in the theory of Markov chains is demonstrated without directly discussing any probability theory. The technique that is developed is applied to ratio and mixture problems that are in changing states. (JP)