The computer is used to explore some worthwhile mathematics in the secondary school classroom. The problems discussed center around Gauss' Existence Theorem for constructible regular polygons. (FL)

Provided is an activity designed to give grades 7-12 students opportunities to discover numerical patterns and to derive general conclusions from observing data. The activity focuses attention on patterns in products such as 33x34, 333x334, and 3333x3334. Three worksheets and answers are included. (JN)

To encourage excellence in mathematics skills, National Society of Professional Engineers and other organizations are sponsoring a new, nationwide mathematics competition called "Mathcounts." The two-part program consists of coaching advanced math skills and team competition on local, state, and national levels. A description of the…

The problem of finding cube roots when limited to a calculator with only square root capability is discussed. An algorithm is demonstrated and explained which should always produce a good approximation within a few iterations. (MP)

The first section promotes use of student notebooks in mathematics instruction as incentives for pupils to do daily work. Part two looks at a geometric interpretation of the Euclidean algorithm. The final section examines an open box problem that is thought to appear in virtually every elementary calculus book. (MP)

A problem in applied mathematics is presented that is thought fit for a study project by secondary students. The analysis includes topics in beginning algebra, theory of interest, and theory of sums of series of infinite length and looks at trade-offs between price and mileage. (MP)

Methods for solving logic puzzles which focus on thought-free procedures that facilitate solution are discussed. Two of the procedures noted pertain to the interior of any submatrix, whereas others span several submatrices. A puzzle is presented at the conclusion as an exercise for practicing the methods promoted. (MP)

The material is designed to help pupils investigate how the value for slope in the equation of a line affects the inclination for the graph of an equation. A program written in BASIC designed to run on an Apple microcomputer is included. Worksheet masters for duplication are provided. (MP)

Data indicate the most significant change in mathematics enrollments at upper secondary school level in the last decade has been dramatic increases in female enrollments. Analysis indicates significant net increases in combined male/female enrollments in Queensland and Western Australia, an overall decline in Tasmania, and marginal increases…

Dialog from a filmed lesson that uses graphing to explain positive and negative numbers is presented. The material highlights the responses of children. The work was also presented to a class of low, mixed-ability pupils since the filming, and the work of two pupils from this group is noted. (MP)

The problem deals with calculating the probability that two or more students in a given class have the same birthday. A sample of an experiment that can be carried out by hand in a class is first noted. A program written in BASIC and a sample run is then presented. (MP)