"Gedankensimulation" is a term adapted from Einstein's "thought experiments" to indicate mentally created simulations that can help conceptualize ideas. Presents seven examples of simulations that can be utilized to solve problems or illustrate concepts in probability and statistics. Problem contexts include games of chance,…

Describes the process of modifying a program that focuses on computer-directed instruction in a developmental algebra course that was not producing the positive results expected. Emphasizes integrating classroom instruction along with a laboratory, either a computer or classroom laboratory. (Author/KHR)

A possible logical flaw based on similar triangles is discussed with the Sherlock Holmes mystery, "The Muskgrave Ritual." The possible flaw has to do with the need for two trees to have equal growth rates over a 250-year period in order for the solution presented to work. (MP)

Investigates a way to assist students with learning differences. Considers mathematical connections appropriate in middle grades through college mathematics centered around the words "and" and "or" within the fields of logic, set theory, algebra, number theory, and probability. Teachers and students should be encouraged to investigate mathematical…

The beauty of discovering some simple yet elegant proof either to something new or to an already established fact is discussed. A combinatorial problem that deals with covering a checkerboard with dominoes is presented as a starting point for individual investigation of similar problems. (MP)

Annotated are questionnaire responses from 88 state and regional contest supervisors concerning trends in calculator usage and nonusage among 59 represented mathematical contests. Discussed are advantages and disadvantages for specific contest problem types with respect to both pencil-and-paper and calculator methods of solution. (JJK)

Presents a methodology designed to strengthen the cognitive effects of using graphing calculators to solve polynomial equations using pattern matching, searching, and heuristics. Discusses pattern matching as a problem-solving strategy useful in the physical, social, political, and economic worlds of today's students. (DDR)

Provides pathological examples for which graphing calculators sometimes give surprising, misleading, or incorrect results. Investigates some of the more interesting of these examples encountered while using the TI-85 in a variety of undergraduate courses including calculus and matrix theory. (DDR)

Secondary mathematics teachers participated in a problem-solving course in which technology became a means to develop as teachers and as problem solvers. Findings indicate a delineation between technical competence and metatechnology--thinking about how and when to apply technology to particular problems. (PVD)

Argues that education in computer science in secondary schools has not kept pace with curriculum developments for college programs. Suggests definitions to be agreed upon and ways to close the gap between secondary and college programs. (PK)

Presents several types of functions which fit a given set of data and create opportunities for classroom discussion comparing different kinds of functions and identifying some of the potential hazards associated with extrapolation from best-fit functions. (DDR)

Provides a brief explanation why instruction designed for use with the microcomputer can enhance students' understanding of the concept of function. Presents five lessons designed to help students develop a thorough understanding of functions and their uses, to encourage students to explore and verbalize mathematical ideas, and to assist in the…