It is surprising to students to learn that a natural combination of simple functions, the function sin(1/x), exhibits behaviour that is a great challenge to visualize. When x is large the function is relatively easy to draw; as x gets smaller the function begins to behave in an increasingly wild manner. The sin(1/x) function can serve as one of…

Graphing utilities, such as the ubiquitous graphing calculator, are often used in finding the approximate real roots of polynomial equations. In this paper the author offers a simple graphing technique that allows one to find all solutions of a polynomial equation (1) of arbitrary degree; (2) with real or complex coefficients; and (3) possessing…

Some applications of mathematics to bicycle gearing, speedometers, and bicycle braking are discussed. A method of calculating bicycle speed is developed. (MP)

This paper discusses several applications of combinational mathematics to social situations and problems in the social sciences. (SD)

Four different types of problems from graph theory are presented and discussed. (MK)

This experiment designed for beginning physics students, is related to postal regulations restricting the size of envelopes. A graph is constructed that allows for testing the mailability of envelopes. (MP)

Weather data gathered from the local newspaper can be used in teaching a unit on statistics. (SD)

As one way of applying and enriching mathematics instruction through integration with science, four mini-projects'' are briefly presented. The three topics are oil molecule estimation, animal classification, graphing and genetic sequences. (MS)

As part of their teacher training course, graduate students visited several industries to find what mathematics was in use. (MM)