A mathematical model of a soccer-league competition results is set up and investigated using simple randomization techniques. The hypothesis that winning the league championship was purely luck was statistically tested. (JP)

An activity sequence is described. Several aspects of a population problem are developed using isoperimetric graph paper and symmetry principles to derive general rules. (SD)

Deciding, with outline maps, what highway exits to use to reach various towns most speedily is the problem presented. The simulation is geometric, focusing on loci. (MNS)

Outlines a possible framework for allowing teachers to explore how children learn mathematics. A mathematical modelling process and three domains, including content, process and pragmatic domain, are described. Twelve strategies for encouraging children to translate between the domains are suggested. (YP)

Described are various common misconceptions about the nature of mathematics and suggests that courses or activities based on model building might help change these. Two examples are offered. (SD)

Presented is the solution to the problem of calculating the probability of winning or losing a game played by moving a counter from the center of a hexagonal grid according to the number shown after the toss of a die. The exercise is an example of an interesting mathematical investigation. (MDH)

Discusses the development of problem-oriented mathematics materials for a wide variety of students. Materials include teaching guides, student materials, case studies in mathematical modeling, and project activities. Examples of these materials (including a sports-related activity for students who have not had success in mathematics) are provided.…

The quadratic function can be modeled in real life by a suspension bridge that supports a uniform weight. This activity uses concrete models and computer generated graphs to discover the mathematical model of the shape of the main cable of a suspension bridge. (MDH)