This synopsis of discussions at the Centenary Conference of the (British) Mathematical Association, April 1971, includes the views of six speakers on likely curriculum developments for learners at all levels. (MM)

A case study in mathematics designed to illustrate how the computer may be instructed to solve complicated problems. The problem is to find the volume of a right truncated cone given the altitude and a half angle or the base radius. (RP)

A reliability coefficient for criterion-referenced tests is developed from the assumptions of classical test theory. The coefficient is based on deviations of scores from the criterion score, rather than from the mean. (Author/CK)

An alternative interpretation of Livingston's reliability coefficient (see TM 500 487) is based on the notion of the relation of the size of the reliability coefficient to the range of talent. (Author/CK)

Identified difficulties encountered in spontaneous modeling, as well as strategies, approaches, and language used in this activity. Graduate mathematics students (N=223) were asked to create a mathematical model of a biological process. Their solutions and strategies are analyzed and results described. Significant conclusions for teaching applied…

An approach to problem solving is described that is based on analysis of how fast model race cars can go. The exercises were used to replace standard time/rate/distance exercises, and were found to be greatly enjoyed by both girls and boys. (MP)

Compares the magnitude of the proper acceleration of a static observer in a static, isolated, spherically symmetric space-time region with the Newtonian result including the situation in the interior of a perfect-fluid star. This provides a simple physical interpretation of surface gravity and illustrates the global nature of the event horizon.…

Several mathematical problems designed to provide motivation for the application of mathematics to practical situations in sports and industry are presented. (MP)

A series of lessons designed to promote problem-solving skills by encouraging students to write programs is presented. All samples of solutions are written in BASIC. (MP)

An approach to problem solving broader than the traditional one most often used by instructors is described and recommended. Implementation of these ideas has the potential of increasing problem solving ability of students while promoting a fuller appreciation of the value of the process. (MP)

An activity designed as an opening-day lesson for a mathematics class is discussed. In practice, the activity is viewed as partly responsible for improving student and teacher rapport. The information gathered can be used in a variety of mathematical investigations, and suggestions for extensions are made. (MP)

Ways of teaching measurement in the elementary grades using concrete materials are presented. Lengths of flat screen molding and flat ceramic tiles are used to develop the concepts of linear and area measurement. The activity approach detailed is viewed to have many important payoffs as students achieve mastery. (MP)

Suggestions are given for ways to help students sharpen their mathematical skills and clarify the value systems that underlie their present and future consumer decisions. Focuses on determining costs, solving household problems involving measurement, reading and interpreting graphs and tables, and using concepts of average and percent. (MP)

The goal is to make some suggestions that may be useful to teachers in meeting the mathematics needs of the noncollege-bound student. It is felt teachers can motivate pupils with problems that are relevant and practical. Further, teachers need to approach mathematics from a realistic point of view. (MP)

A class activity is detailed in which alternative designs for glasses are examined. The goal is to design a glass which is built tilted, so that beer can be poured in without creating a foam problem. The activity is viewed as one leading to interesting questions. (MP)