Shows how to use the Ritz method for obtaining approximate solutions to problems expressed in variational form directly from the variational equation. Application of this method to classical mechanics is given. (MLH)

Discusses the rediscovery of computer software (programs) as a form of mathematics, and the impact of increasingly complex software on university research and teaching as well as business and industry practices. (MLH)

Discusses the problem of the order, reducibility, and equivalence of systems of Dirac gamma matrices. Gives a simple systematic method for finding the matrices connecting different systems of 4 x 4 gamma matrices. (MLH)

Demonstrates a method for solving linear differential equations with polynomial coefficients based on the fact that the operators z and D + d/dz are known to be Hermitian conjugates with respect to the Bargman and Louck-Galbraith scalar products. (MLH)

A method is given for determining what months will have a Friday the thirteenth for any given year. (DT)

ENTER: History, geography, consumerism, science facts. COMPUTE: Totals, averages, percentages, etc. READ OUT: Enriched, integrated learning. (Editor)

Annual records of the one-mile sun can be used to introduce a variety of statistical ideas including the scatter diagram, theoretical vs. observed values, and normal equations. (SD)

Presents a graphical method for evaluating complex equilibrium equations representing the solubility of protolyzable salts. (MLH)

Discusses an equation that describes the variation with temperature of acid dissociation constants. (MLH)

The concept of percentile is a fundamental part of every course in basic statistics. Many such courses are now taught to students and require them to have TI-82 or TI-83 calculators. The functions defined in these calculators enable students to easily find the percentiles of a discrete data set. (PVD)

Highlights how instruction linking home and school can be used to teach mathematics by building on experiences shared by most students. (KHR)

Presents an activity called "The Hardy-Weinberg Equilibrium, Founder Effect, and Evolution" to allow students to learn about evolution in an engaging, constructivist manner. The activity also uses the tools of mathematics to learn several related biology concepts. (Author/SOE)

Describes five basic understandings involved in rational counting: (1) groupings of same or different items may be counted; (2) there is a stable order of the counting numbers; (3) one-to-one correspondence; (4) it does not matter which item is counted first; and (5) the cardinal principle. Discusses the importance of rational counting ability and…

Encourages teachers to allow opportunities for students to present alternative algorithms, whether the students invent them or learn them, then lead a discussion about the meaning of the operations with the goal of students understanding why the algorithm works. Teachers with students of similar racial and ethnic backgrounds should encourage the…

Presents an integrated exposition of aspects of secondary school mathematics and a medical science specialty. Reviews clinical medical practice and theoretical and empirical literature in mathematics education and radiology to develop and pilot model integrative classroom topics and activities. Suggests mathematical applications in numeration and…