Some properties of perfect numbers are illustrated. (SD)

Changes in the Advanced Placement calculus examinations are discussed and the questions used in the 1973 tests are reprinted. (SD)

This article presents a simple procedure to generate a sequence of rational numbers converging on the square root of 2, yielding common fraction approximations that motivate and illuminate the definition of real numbers based on rationals. Examples suggest that any irrational number can be approximated as closely as desired. A bibliography is…

Intuition in mathematics is essential but it must be based on good knowledge of mathematics. An example related to velocity, time, and area is presented and discussed, with models, visual approaches, and geometric arguments noted. (Author/KM)

The author describes a series of current economic ideas and situations which can be used in the mathematics classroom to illustrate the use of signed numbers, the coordinate system, univariate and multivariate functions, linear programing, and variation. (SD)

A series of problems concerning a geoboard with "holes" is suggested. (SD)

The author provides a detailed example of the use of the circular geoboard in suggesting an hypothesis which is then proven. (SD)

A method of finding rational roots of polynomials by use of a "special theorem" provides increased efficiency and, therefore, motivation. (SD)

Discussed are the purposes of testing, the construction of different types of test items, grading, and statistical analysis of test scores. (JP)

A series of laboratory or discovery activity worksheets lead the student to explore the relationship between a given polygon and a figure constructed by rules generated by properties of the given polygon. (JP)