Described is the idea of set isometry as examples of Euclidean and non-Euclidean metrics. Included are examples in R squared, preliminaries, and extensions. (KR)

Presented are several models that seem to lead to a better understanding of axiomatics by students. These examples are more like real geometry than the usual examples. Included are the theorems, proofs, and graphs of the functions. (KR)

Discusses the educational value of engaging mathematics students in writing a journal. Provides a table showing the relationship between writing topics and the potential benefits. (Author/YP)

Describes a function graphing program's 15 Logo procedures and how they are used in the classroom to study the properties of functions and to develop visual imagery of function behavior. Presents several Logo programs. (Author/YP)

Discusses the application of probabilistic ideas, especially Monte Carlo simulation, to calculus. Describes some applications using the Monte Carlo method: Riemann sums; maximizing and minimizing a function; mean value theorems; and testing conjectures. (YP)

Illustrates three examples usually delayed until sufficient terminology, concepts, and methods have been developed unless using calculators or computers. The three examples are on exponential growth, triangle construction, and end behavior of certain function. Discusses the advantages of technology-enhanced mathematics teaching. (YP)

Describes basic problem-solving skills and presents a protocol of a student solving a problem. Discusses some of the difficulties in obtaining a correct solution. Lists basic prompts for problem solving. (YP)

Describes how to develop students' communication skills, regular study habits, basic mathematics skills, and a talent for logical thinking in a calculus class. Eight references are listed. (YP)

Presents two mathematical methods for fitting the logistic curve to population data supplied by the U.S. Census Bureau utilizing computer algebra software to carry out the computations and plot graphs. (JKK)

Details the planning and the outcomes for an undergraduate seminar course that introduced students to journal articles and graduate level texts pertaining to theoretical computer science. Included are useful guides for students that provide basic techniques for reading mathematical papers, and that lead students through the process of generating…

Describes a comprehensive program developed at the University of Minnesota to help adult students who suffer from mathematics anxiety. The three components of the program--a diagnostic clinic, individualized tutoring, and content courses--are designed to analyze student needs, both mathematical and emotional, and to address those needs in a…

Presents the algorithm to approximate square roots as reproduced from the 1579 edition of an algebra book by Rafael Bombelli. The sequence of activities illustrates that the process of understanding an original source of mathematics, first at the algorithmic level and then with respect to its mathematical validity in modern terms, can be an…

Described are the variations found between the western and African versions of the same logic puzzle. It is demonstrated that mathematical ideas are of concern in traditional non-Western cultures as well as in the West. (KR)

Explored are the distributions of residual components in two model systems. A system of components with exponentially distributed lifetimes and the two-dimensional "leaf model" in which objects fall on a plane with positions independent and normally distributed are discussed. Included are the definition, application, computations, and theorem. (KR)

The problem of determining the most energy-efficient strategy to use in approaching a traffic light that is sighted at an unknown phase in its cycle is discussed. Included are calculations, results, and conclusions. (KR)