Portions of the Cockcroft Report which seem confusing are discussed. The connections among problems, applications, and investigations are considered in sections on being a mathematician; open is in the mind; assumptions, rules and patterns; and learning not to be anxious. (MNS)

Several examples of problems involving measurement that occur in the life of a contractor are presented, along with solutions. Several sample measuring activities for students are included, with comments. (MNS)

This article (the 1971 Presidential Address to the Mathematical Association of U. K.) makes a plea that college teachers of mathematics should be better aware of the applications of mathematics in other subjects. As an example, the author describes the use of differential equations to solve certain vibrational problems in mechanical engineering.…

A diffusion simulation is described in which the dispersion of potato beetles in a given problem is traced on hexagonal grids. (MNS)

Applications problems collected from industries, businesses, engineers, and government agencies are described. (MNS)

A series of problem solving situations designed around a hypothetical birdhouse factory is explored. The original material is designed around solving systems of equations, but the approach used is designed to be easily modifiable to incorporate other mathematical content. (MP)

Problems with apportioning seats within the House of Representatives every 10 years are discussed. The history of the problem and the nature of the politics involved are reviewed, and the current method in use is detailed along with its flaws. A call for a more sensible system is made. (MP)

An approach to using the method of least squares, a scheme for computing the best-fitting line directly from a set of points, is detailed. The material first looks at fitting a numerical value to a set of numbers. This provides tools for solving the line-fitting problem. (MP)

A program called SemCalc is detailed that enables people to use the computer as a tool to solve word, story, estimation, and simple algebra problems. SemCalc is seen as an example of a computer program that is a tool, with no curricular agenda of its own. (MP)

A computer simulation of the Buffon Needle Problem for estimating the value of pi is discussed. (MP)

Examples of computer applications to solving real-world problems as generated by students at the Asian Institute of Technology (AIT) are featured. (MP)

By providing an example problem in solving sets of nonlinear algebraic equations, the advantages and disadvantages of two methods for its solution, the tearing approach v the Newton-Raphson approach, are elucidated. (CS)

Considered are the main elements of computational chemistry problems and how these elements can be used to formulate the problems mathematically. Techniques that are useful in devising an appropriate solution are also considered. (Author/TG)

Approaches to teaching verbal problems that are interesting and useful are reviewed. Four basic difficulties in teaching problem solving are also covered. (MP)

Definitions of estimating and approximating are given and areas where these skills are used (such as practical situations, problem solving, and measurement) are discussed. Nine activities which range from second to twelfth-grade level are suggested. (MK)