A high school mathematics curriculum that teaches personal responsibility and decision-making skills as well as mathematics. (Author/MLF)

Using a microcomputer to test high school mathematics students for areas of weakness can save teachers' time, eliminate paperwork, and make testing enjoyable for the students. Results are immediately accessible and in several forms. (Author/TG)

A concept of infinity is described which extrapolates the measuring rather than counting aspects of number. Various theorems are proved in detail to show that "false" properties of infinity in a cardinal sense are "true" in a measuring sense. (MP)

Approaches to teaching verbal problems that are interesting and useful are reviewed. Four basic difficulties in teaching problem solving are also covered. (MP)

The current status of statistics education at the secondary level is reviewed, with particular attention focused on the various instructional programs in England. A description and preliminary evaluation of the Schools Council Project on Statistical Education is included. (MP)

Four ideas for the teaching of mathematics topics are suggested. The suggestions are: "To Prove or Not to Prove--That Is the Question"; "Fun at Christmastime"; "A Simple Technique for Factoring Trinomials"; and "An Alternate Method for Factoring" Quadratic Trinomials." (MK)

A resource applications geometry module was developed and tested. Attitude data were collected. (MK)

Some classroom uses for magic triangles are illustrated and discussed. (MK)

Results of a teacher's effort to find which mathematics skills and concepts are really needed in different occupations are given. (MK)

Magic circles, number puzzles somewhat more complex than magic squares, are described and discussed. (MK)

A calculus activity is presented which is designed to allow students to operate as mathematicians. (MK)

A group of unsolved geometry problems is presented. Several problems that were unsolved for a length of time and then solved are also discussed. (MK)

The conditions necessary for a circumscribable quadrilateral also to be inscribable are discussed. Three propositions are presented and proved. (MK)

Archimedes viewed the method of centroids as a valuable tool for intuitive discoveries. This article presents several uses of this technique and discusses how the method of centroids could be used in secondary schools. (Author/MK)

Brainstorming is suggested as one approach to problem solving. Generating possibilities stimulates creative and independent thinking and can facilitate problem solving in many situations. (MP)