A problem, motivated by the conversion of Fahrenheit to Celsius, is related to classical Diophantine equations. (MK)

Discussed is the virial theorem, which is useful in classical, quantum, and statistical mechanics. Two types of derivations of this theorem are presented and the relationship between the two is explored. (BT)

Changes in the structure of college and university tuition discounts in the past 15 years are explained, and it is argued that most discussion of discounts are oversimplified. The case of a hypothetical small liberal arts college (data composed from eight colleges) is used to illustrate the decile discount approach to analyzing discounting trends…

Describes a new kind of electronic scholarly journal in which the standard submission-review-publication process is replaced by an approach based on judgments expressed by the readers, where each reader is potentially a peer reviewer. Shows how to compute, on the basis of expressed judgments, values of scores and steadiness of papers, authors, and…

Describes a way of using multiple representations to help students learn data analysis and make sense out of a large amount of data. Includes an activity for a group-learning environment. (KHR)

Investigates the related characteristics of asynchronous learning material used for distance education and Web-based instruction and proposes a material characteristics model. Discusses the relationship among the degree of difficulty of the material, student characteristics, and student abilities; social factors; suitability of teaching materials…

Provided is a rebuttal to an argument concerning the use of Ka values for water and the hydronium ion. The derivation of new values as a result of the treatment of the water as the solvent and using a Raoult's Law standard state is discussed. (CW)

Describes how to get equations for parabolas, ellipses, and hyperbolas from conic sections. Provides diagrams both in perspective and in cross-section for each case. (YP)

Discusses when to use the computer, paper-and-pencil, or mental-computation procedures. Provides examples of solving problems dealing with roots of polynomial using computer graphing and other strategies. Suggests implications for curricular planning. (YP)

Describes a variety of activities to develop ideas of pattern, mapping, and graphing for high-level high school mathematics classes. Provides problems and their answers with screen displays for the Casio graphic calculators. (YP)

Considers definitions of quantiles. Describes median and quartiles. Compares the usefulness of 3 different definitions of quartile using a computer program to simulate 500 quantiles on a sample of a fixed size. Five references are listed. (YP)

Presents examples of 3-by-3 and 4-by-4 magic squares. Proves that the numbers 1 to 10 can not be fitted to the intersections of a pentagram and that the sum of the 4 numbers on each line is always 22. (YP)

Discusses the use of mathematical modeling. Describes types, examples, and importance of mathematical models. (YP)

Describes experimental procedures to produce magnetic fields with a thermocouple. Provides diagrams showing the apparatus, tables of experiment data, and background information on the theory. (YP)

Shows a series of Euclidean equations using the Euclidean algorithm to get the greatest common divisor of two integers. Describes the use of the equations to generate a series of circles. Discusses computer generation of Euclidean circles and provides a BASIC program. (YP)