The application of the Hamilton method for apportioning seats in the United States House of Representatives is presented based on the 1980 census. It is felt that this method is preferable to the equal proportion method currently used if for no other reason than the greater appearance of fairness. (MP)

The Weight Problem of Bachet de Meziriac is described, which looks for four integral weights to measure every amount between one and forty kilograms. Discussed are generalizations of the problem and analogous problems, solutions of particular cases, and a solution of the general problem. (MP)

Some single species and two species interactions in population models are presented to show how credible examples can be used to teach an underlying, common mathematical structure within apparently different concepts. The models examined consist of differential equations, and focus on real-world issues. (MP)

A lesson on a basic logarithmic property is presented, using geometric representations and limits of sequences. (MP)

Two kinds of secret writing, codes and ciphers, are discussed. The weakness of a ciphering system mentioned in the March 1981 issue is pointed out, and an alternate method is presented. Programs written in BASIC are presented which can be used to encipher messages and help break ciphers. (MP)

Five problems on the generation and study of prime and related numbers are discussed. Solutions to the problems posed will be in next month's presentation. (MP)

A method of organizing data known as a stem-leaf plot is presented in detail. This method is viewed to overcome many of the disadvantages associated with the traditional methods of grouping in the frequency distribution table and provides a convenient introduction to data organization. (MP)

A discussion of the mathematics of rugby is related to an earlier article about mathematics and the physical world. (MP)

Data from interviews with pupils who attempted to solve problems involving the appropriate weighing and combining of individual means into an overall mean is reported. For many, dealing with the mean seems to be a computational rather than a conceptual act, with many subjects unable to correctly carry out the task. (MP)

Graph theory is presented as a tool to instruct high school mathematics students. A variety of real world problems can be modeled which help students recognize the importance and difficulty of applying mathematics. (MP)

A college-level intermediate algebra course with an applications theme is described. (MK)

A sophomore-level course in applications of mathematics was designed to introduce students to the diversity of situations in which mathematical models are used. The course precedes the study of the calculus, and is composed of a sequence of modules. A problem-solving approach is used. (SD)

Presents a summary of the studies done by the Edinburgh Centre for Mathematical Education (ECME) on the use of practical activities in secondary schools. Argues that teachers may remain doubtful about the benefits of practical activities until they try them for themselves. (ASK)

Presents two problems posed to kindergarten children to challenge and to encourage discourse among the students working in small groups of 8 to 10 children. Results showed various levels of understanding and demonstrated various approaches which serve to give the teacher insight into the level of understanding of the class and the possible need to…

Presents an activity illustrating the role that technology can play in modeling real-world problem situations and making connections across the curriculum. Includes using a graphical model to answer the questions. Lists related programs for TI-82 and TI-92 graphing calculators. (ASK)