Discussion includes the aims of mathematics instruction with special reference to applied vs. theoretical teaching purposes. A plea for math-science professional co-operation and a discussion of the New Math" is included. (JG)

A method of using vector analysis is presented that is an application of calculus that helps to find the best angle for tacking a boat into the wind. While the discussion is theoretical, it is seen as a good illustration of mathematical investigation of a given situation. (MP)

Philosophies of mathematics, applications of mathematics to social or humanistic areas, where knowledge is lodged, mathematical education at a higher metalevel, and the interpretive component of mathematical education are discussed. (MNS)

After a brief discussion of the history of mathematical astronomy, the author introduces problems concerning aspects and distances of the planets. The problems presented can be solved without use of trigonometry. (SD)

A systematic approach to general orthogonal co-ordinates, suitable for use near the end of a beginning vector analysis course, is presented. It introduces students to tensor quantities and shows how equations and quantities needed in classical problems can be determined. (Author/LS)

The characteristics and the role of a statistics laboratory in teaching statistics is discussed. Particular attention is given to the training of students in various academic areas who will need to use statistics in their work. (JP)

This report consists of three main sections: (1) Introductory comments on the field of statistics and its study at the graduate level; (2) A recommended undergraduate program for prospective graduate students in statistics; and (3) Implications of the recommendations for departments of mathematics and their students. The recommendations are…

A comparison of four methods of finding the maturity value of the principal is presented. The four methods are: table, period-by-period iterative calculation, formula, and Binomial Theorem. (MP)

The calculator is used to solve certain formidable equations, which arise naturally and which may be difficult or impossible to solve by standard methods, by a method of successive approximations. (MP)

Infinite geometric series are related to the time-motion paradox involving a football team advancing halfway to a goal line on each successive play. (MN)