Presents an application of the binomial distribution in which the distribution is used to detect differences between the sensory properties of food products. Included is a BASIC computer program listing used to generate triangle and duo-trio test results. (JN)

This tutorial is intended to introduce factor and cluster analysis at a level that will afford the senior student or the practicing chemist some insights into the workings of the computer packages employing these methods, without being overwhelming with mathematical detail or process. Included are basic terms and working examples. (CW)

Developed are simple recursion formulas for generating the exact distribution of the longest run of heads, both for a fair coin and for a biased coin. Discusses the applications of runs-related phenomena such as molecular biology, Markov chains, geometric variables, and random variables. (YP)

Describes the development of the concept of function including changes of mental images, from the geometric conception versus the algebraic conception and the logical conception versus the algebraic conception. Lists 27 references. (YP)

Discusses teaching methods related to timetabling and scheduling tasks. Analyzes a hierarchy of difficulties for the tasks. Reports success rates for each of the four difficulty types. (YP)

Discusses the application of induction using a two-player game with sticks. Describes a winning strategy for the game with n sticks; number of moves to complete the game; and changing the rules of the game. (YP)

Describes a model for geometrical probability. Presents two examples of basic theories of probability using geometrical probability. Provides three problems using the described theorem. (YP)

Offers an approach to the understanding and to the teaching of the fundamental theorem of calculus. Stresses teaching the relation between a function and its derivative and the functions themselves. (YP)

Describes properties of Fibonacci numbers, including the law of recurrence and relationship with the Golden Ratio. Discussed are some applications of the numbers to sewage of towns on a river bank, resistances in electric circuits, and leafy stems in botany. Lists four references. (YP)

Reviews the mathematics utilized in the design and construction of suspension bridges, in general, then illustrates these mathematical concepts by examining data associated with the Mackinac Bridge, which connects the two peninsulas of Michigan. Emphasizes the strong interest factor these gigantic structures have for students by attaching a sense…

Demonstrated is the use of BASIC computer programs to simulate a binomial experiment and test a simple statistical hypothesis. The theoretical results are reached with the third programing attempt. All results, as well as computer programs, are included. (JJK)

Discussed is the method of substitution of variables within the framework of precalculus level extremum problems, both maximum and minimum. Many examples with graphical representations are provided. (JJK)

Summarized are the contests, schedules, entertainment, and planning involved in this activity. Sample topics and questions for the events are provided. Costs, personnel, and time required to put on the event are discussed. (CW)

Presents ways to improve the accuracy of approximations of logarithms in a college-algebra course. (Author/ASK)

Calculus students have great trouble visualizing solids of revolution and their cross sections. Illustrates the use of props in order to help students understand the solid revolution. (ASK)