This set of transparencies shows how the manipulation of combinatorial structures in the context of modern combinatorics can easily lead to interesting teaching and learning activities at every level of education from elementary school to university. The transparencies describe: (1) the importance and relations of combinatorics to science and…

Statistical and budgeting techniques used in several institutions to measure productivity are described and illustrated. The analyses include both moment-in-time cost versus productivity and program trends. (MSE)

"TK!Solver" was designed as a personal computing tool to solve problems involving mathematical calculations and analysis. An in-depth review of this model building and problem-solving package is provided. System commands, applications (including data lists, plots/graphs, iterative problem-solving, present values), and other areas are…

Children need more than activities to help them see that the relationship expressed in a formula is true. Giving them the underlying principles will contribute to better comprehension, retention, and transfer. (MNS)

Describes advanced undergraduate laboratory exercise examining the dependence of the rate constants and the instantaneous concentrations with the nature and energy content in a gas-phase complex reaction. Computer program (with instructions and computation flow charts) used with the exercise is available from the author. (Author/JN)

Argues that the application of Bradford's original formulation to Leimkuhler's choice of bibliographic citations more closely fits the statistical data than does his own. Operational research techniques are assailed as inadequate and wasteful to the needs and purposes of the social sciences. Six references are provided. (RAA)

Some insights are provided into techniques for removing the mystery of how calculators evaluate functions. (Author/MK)

Lord's, Millman's and Saupe's methods of approximating the standard error of measurement are reviewed. Through an empirical demonstration involving 200 university classroom tests, all three approximations are shown to be biased. (Author/JKS)

The article describes the Mental Mathematics System, a number of formulas designed to develop mathematical skills in elementary and junior high school gifted and talented students. Formulas are provided for multiplication. The formulas for mental mathematics are noted to promote student interest in the subject. (SBH)

Describes a method for estimating the number of cathode ray tube terminals needed for public use of an online library catalog. Authors claim method could also be used to estimate needed numbers of microform readers for a computer output microform (COM) catalog. Formulae are included. (Author/JD)

In two treatment-repeated measurements designs, the ratio between the unbiased variance of the differences and twice the variance of the errors of measurement can be used to test for interaction of subjects and treatments. The use of this statistic is illustrated. (Author/CP)

A method of estimating the number of house officers needed for direct patient care in teaching hospitals is discussed. An application of the proposed method is illustrated for 11 clinical services at the Los Angeles County-University of Southern California Medical Center. (Author/MLW)

Presented are forms of harmonic oscillator attraction and Coulomb wave functions which can be explicitly constructed and which lead to numerical results for the energy eigenvalues and eigenfunctions of the atomic system. The Schrodinger equation and its solution and specific cases of muonic atoms illustrating numerical calculations are included.…

Describes problems using the Jenkins and White approach and standard diffraction theory when dealing with the topic of finite conjugate, point-source resolution and how they may be resolved using the relatively obscure Abbe's sine theorem. (JN)