Presents solutions at several different levels of sophistication for a problem involving 10 stools arranged in a row at a diner: how many different ways can the ten stools be occupied, discounting which of three persons sit on any stool, so that at least one stool is between two people? (AIM)

Presents weekly activities that focus on various forms of transportation in the world. Students investigate transportation through data collection, geometry, and measurement. (KHR)

Considers educational aspects of the development of ratio and proportion focusing on the arithmetization undergone by these concepts in light of the relationship between mathematics and music. Investigates the instructional aspects of compounding ratios. Points out features of the differences between identity and proportion which can be…

Offers a cave-mapping problem and discusses how to solve it. Presents the problem and necessary geologic background and a spreadsheet algorithm to solve the problem. (KHR)

Focuses on the concept of compound functions and an application of this concept using the tax rate schedules from 1999. Presents an activity designed to help students learn how much income goes to pay federal income tax. (KHR)

Introduces basic principles of coding and decoding including the use of letter frequencies to decode secret messages by using the radio premium codes of Little Orphan Annie and Dick Tracy. (KHR)

Describes the successful use of a computer algebra system (CAS) with a student as he worked on a problem involving functions far more difficult than he had previously encountered. (Author/NB)

Describes an activity, The Spaghetti Problem, that shows how statistics could be used to introduce many topics in the secondary mathematics curriculum. (KHR)

Analyzes a simple boom structure and assesses its reliability using elementary engineering mechanics. Demonstrates the power and utility of Monte-Carlo simulation by showing that such a simulation can be implemented more readily with results that compare favorably to the theoretical calculations. (Author/MM)

The effect of sliding friction in the problem of what happens when a tablecloth is pulled from under dishes is considered. Theoretical considerations and possible dish displacements are discussed. (CW)

Discussed are some applications of mathematics involved in actuarial science which may be taught in high school mathematics classes. Described are the importance of approximate solutions, multiple answers, and selling the solution to a problem. (CW)

Presented are several applications of geometric concepts and measurement skills that are used daily by surveyors, real estate attorneys, and paralegal assistants. Described are the objectives and directions for this lesson. Activity sheets for students are included. (CW)

Several activities involving area and volume using empty paper rolls are presented. The relationships of parallelograms to cylinders are illustrated. Teaching suggestions are provided. (CW)

Described is a procedure for studying the trajectories of projectiles using ball bearings and aluminum foil. Trajectories were measured with and without the effects of air resistance. Multiflash photography was used to determine the flight paths of all objects. (KR)

This article presents 12 examples of the use of a calculator in the algebra class. The calculator codes and the mathematical formulas of the examples are presented in the appendix. (Author/YP)