Methods for getting a computer-linked plotter to do a total plot of a relation are discussed. (DT)

Two different types of "understanding" are defined and discussed: knowing both what to do and why, and knowing rules without reasons. Advantages and disadvantages of each type of understanding are presented. (DT)

Methods of handling a student's incorrect mathematical generalization are discussed. (DT)

A research experiment is described in which the effect of the availability and use of a calculator on seventh graders' mathematics achievement was investigated. Preliminary findings on parental attitude toward the use of calculators and on student achievement are discussed. (DT)

A proposal that the fullest possible use be made of calculators at all grade levels is discussed. (DT)

A Mascheroni construction for obtaining the length of a line segment which is the square root of a natural number is explained. (DT)

This article discusses how numbers are stored internally in a computer. (DT)

A variation of the classical birthday problem is considered. A BASIC program is included in the article. (DT)

A Bingo card is analyzed to determine numbers favored to win. (DT)

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)