A brief note presenting algebraically equivalent formulas for the variances of three error types. (Author)

A discussion of behavioral objectives of teaching mathematics classified under the heading of application, analysis, and synthesis. This article is a continuation of previous articles in this journal. (DT)

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

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)

Describes an instructional method in secondary school mathematics applicable to physics instruction, to develop conceptual understanding of motion word problems. Distance, rate, and time are defined, used as variables and considered with relative motion as a unifying concept. (JM)

This material shows how to use basic techniques, principles of counting, and geometry to count squares on geoboards. The methods are elementary in that the proofs are easily conceptualized. A discussion of other approaches illustrates that easily stated problems may lead to very difficult and sophisticated methods. (MP)