Discusses the use of the recursive method to permutations of n objects and a problem making c cents in change using pennies and nickels when order is important. Presents a LOGO program for the examples. (YP)

Discusses teaching methods related to timetabling and scheduling tasks. Analyzes a hierarchy of difficulties for the tasks. Reports success rates for each of the four difficulty types. (YP)

Describes the mathematics of cycloidal curves. Illustrates how a Spirograph can be used to produce them. Discusses some modifications and applications of the Spirograph. (YP)

This article announces a study by the International Commission on Mathematical Instruction (ICMI) concerning the public image of mathematics and mathematicians. Discusses the general frameworks, features, and methods of the popularization of mathematics. (YP)

Describes examples of rational representation as a guide for translating terminology and information encountered in manuals for computers. Discusses four limitations of the representation. (YP)

Discusses the application of induction using a two-player game with sticks. Describes a winning strategy for the game with n sticks; number of moves to complete the game; and changing the rules of the game. (YP)

Describes four activities to obtain information from maps, use scales and legends, and interpret information on charts. Provides the objectives, directions, extensions, answers, and worksheets for each of the activities. (YP)

This article explores an application of combinations, geometric series, and elementary probability that arises in a Biblical setting. Describes examples of the applications such as the use of "urim and thummin." (YP)

Provides a discussion and an example of a problem which occurs in mathematical contests or entrance examinations and deals with the question of the magnitude of exponentials. Includes additional illustrative examples. (RT)

Describes the algorithm used to select a simple random sample of certain size without having to list all possible samples and a justification based on Pascal's triangle. Provides testing results by various computers. (YP)

Describes properties of Fibonacci numbers, including the law of recurrence and relationship with the Golden Ratio. Discussed are some applications of the numbers to sewage of towns on a river bank, resistances in electric circuits, and leafy stems in botany. Lists four references. (YP)

Describes how five-year-old children responded to the investigation of looking for patterns in a multiplication square. Provides a 10 x 10 multiplication square for the investigation. (YP)

Describes a classroom activity in which students explore a real-life application of algebra by sending secret messages to each other. (MKR)

Presents two activities created by preservice middle school teachers that integrate technology and real-life mathematics in algebra. (MKR)

Discusses classroom activities that involve applications of fractal geometry. Includes an activity sheet that explores Pascal's triangle, Sierpinsky's gasket, and modular arithmetic in two and three dimensions. (Author/MKR)