Considers a trigonometric solution to a standard calculus minimization problem. Presents a geometric solution which can be used to solve other trigonometric or algebraic problems. (PK)

Presents four problem-solving activities which require only simple, readily available materials. Comments about the activities and ready-to-duplicate worksheets are provided for each activity. Activities are suitable for students in the lower secondary grades. (JN)

Writing has a place in mathematics classes. It can be used to enhance learning by helping students organize their thoughts. How a journal can be used and analyzed are discussed. (MNS)

The relation between mathematical and computational aspects of recursion are discussed and some examples analyzed. Definition, proof, and construction are considered, as well as their counterparts in computer languages (illustrated with Logo procedures). (MNS)

Recent research findings indicate that visualisers are seriously underrepresented among high mathematical achievers at the senior high school level. Possible reasons for this phenomenon are discussed, and kinds of imagery which overcome some of the limitations of visual processing in mathematics are described. (MNS)

The game of Chomp is described; it provides an opportunity to build a mathematical system. Definitions, theorems, and proofs are included. (MNS)

Included are brief articles on a laboratory approach for teaching basic geometry, having students give examples, and trigonometry and design. (MNS)

An application of functions and their inverses is described--the coding and decoding of messages, or cryptographs. The helpfulness of computers is noted, with two programs listed. (MNS)

The regression effect is discussed, with examples from tests and from data on heights. Several problems to use in teaching about regression are included. (MNS)

A general model for solving algebra word problems requiring a linear solution in one variable is described. A step-by-step approach is illustrated, with a worksheet included. (MNS)

Presented are two problems that can be solved using a computer simulation by students who have completed Algebra II. The distance and bisector formulas and the various forms of the equations of a circle and straight line are the topics. Computer program listings are included. (MNS)

Results from a British study on Strategies and Errors in Secondary Mathematics are considered. Students' views of algebra and their difficulties are summarized, with some suggestions for teachers. (MNS)

Attention is called to the apparent widespread misunderstanding of algebraic notation by secondary school students, and how this may arise from some common approaches to teaching algebra to beginners is discussed. (MNS)

Numerical inaccuracies, which occur in many ordinary computations, can create serious problems and render answers meaningless. Cancellation and accumulation errors are described, and suggestions for experimentation are discussed. (MNS)

An intuitive approach to exponential functions is described. Microcomputers are used to aid discovery of derivatives. (MNS)