Changing students' negative attitudes toward working story problems through a special weekly problem-solving activity is described. (DT)

Examples of logical paradoxes, including the square root of two paradox, Achilles and the tortoise paradox, author paradox, Russell paradox, bibliomaniac paradox, and Berry paradox, are presented; some are resolved. (DT)

A discussion of intuition, doubt, and surprise in mathematics arising from a problem involving rational points and lines. (RS)

The reason for the inability of students to master the solving of word problems in algebra is identified as the failure to organize and analyse the problems. The author's approach to the solution of these problems, involving writing symbols for the unknown(s), generating equations, solving the unknown(s) and interpretation is presented through…

Results are reported from a study of the problem-solving abilities of Swedish children aged 12-13. Illustrative problems and conclusions are given to describe a method for defining and testing problem solving. (MNS)

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

The language-experience approach to problem solving is discussed. A theme park unit provides illustrations of how problem solving can be developed. (MNS)

The Australian Mathematics Competition was designed around the content of common school mathematics, and thus is intended for almost all mathematics students, not just exceptional ones. The competition's conceptual and organizational basis and the three levels of competition papers are described. Sample questions are included. (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)