Provides a number of basic mathematical models of enrollment trends at a college or university. Seeks to model the effects of retention and recruitment. Utilizes Mathematica in this activity, which introduces students to the notion of modeling something relevant to their campus. (ASK)

Focuses on the study of the sum of two integer squares, neither of which is zero square. Develops some new interesting and nonstandard ideas that can be put to use in number theory class, mathematics club meetings, or popular lectures. (ASK)

Discusses the place of linear programming in college curricula and the advantages of using linear-programming software. Lists important characteristics of computer software used in linear programming for more effective teaching and learning. (ASK)

Discusses the reasons for careful evaluation of students' programs by a skilled programmer. Suggests that grades for programs must be partly based on quality factors such as clarity, organization, conciseness, and maintainability. (ASK)

Discusses an old technique going back to Euler for accelerating the convergence of an alternating series. Uses a computer algebra system such as Derive, Maple, or Mathematica to implement this method called Eulerization. Argues that investigations using this technique will improve a student's understanding of infinite series. (ASK)

Presents a problem that has been well received by students in undergraduate mathematical statistics courses. The problem is presented as a game in which students are asked to choose between two alternatives, as if they were betting. (ASK)

Promotes the use of logistic modeling in high school and early college mathematics, to compare this model to commonly used models, and to give an alternative to the TI-83 built-in logistic-regression key method when that method fails to converge or gives an inappropriate model. (ASK)

Discusses Monte Carlo methods, powerful and useful techniques that rely on random numbers to solve deterministic problems whose solutions may be too difficult to obtain using conventional mathematics. Reviews two excellent candidates for the application of Monte Carlo methods. (ASK)

Outlines efforts to create mathematics-related activities for freshman/sophomore level college algebra and statistics classes at Shippensburg (Pennsylvania) University. Shares some of the ways in which these activities were created and adapted. (ASK)

Discusses the effects on healing of attitude, positive thinking, and affirmations. Presents a mathematical example of hypothesis testing. Results point to the desirability of discussing such ideas with students to emphasize that the use of hypothesis testing is not simply a mechanical procedure. (ASK)

Proposes that a mathematical treatment of Strong Inequality Triangles (sum of any two sides is greater than the third) within the reach of high school and college students is possible. Invites further explorations of other properties of Strong Inequality Triangles. (ASK)

The Monte Carlo method provides approximate solutions to a variety of mathematical problems by performing random sampling simulations with a computer. Presents a program written in Quick BASIC simulating the steps of the Monte Carlo method. (ASK)

The Optimizer in Quattro Pro and the Solver in Excel software programs make solving linear and nonlinear optimization problems feasible for business mathematics students. Proposes ways in which the Optimizer or Solver can be coaxed into solving systems of linear equations. (ASK)

Presents a theorem on the subject of cardinality and its proof. (ASK)

Discusses the rationale behind the technique of rationalizing the denominator in algebra. Argues that the importance of this technique is greatly exaggerated and is usually unnecessary. Examines an appropriate application of rationalizing the denominator. (ASK)