This paper, the second of a two part article, expands on an idea that appeared in literature in the 1950s to show that by restricting the domain to those complex numbers that map onto real numbers, representations of functions other than the ones in the real plane are obtained. In other words, the well-known curves in the real plane only depict…

Various efforts are being made to introduce the different physical aspects and uses of computational chemistry to the undergraduate chemistry students. A new laboratory approach that demonstrates all such aspects via experiments has been devised for the purpose.

Based on the recent three population censuses of China, in this article, we used life table technique to compute the expected years of working life for the Chinese labor force in the primary, secondary and tertiary industries in 1982, 1990 and 2000. We found, after two decades of economic reform, the expected years of working life in the primary…

The theory of signal detection is convenient for measuring mnemonic ability in recognition memory paradigms. In these paradigms, randomly selected participants are asked to study randomly selected items. In practice, researchers aggregate data across items or participants or both. The signal detection model is nonlinear; consequently, analysis…

A number of methods are available in the literature to measure confidence intervals. Here, confidence intervals for estimating the population mean of a skewed distribution are considered. This note proposes two alternative confidence intervals, namely, Median t and Mad t, which are simple adjustments to the Student's t confidence interval. In…

A method called the Remainder Method is proposed for the calculation of sample quantiles of a given order, for example, quartiles, hexatiles, octatiles, deciles and percentiles assuming that all the observations are distinct. Proof is given for a special case of deciles. The criterion "equisegmentation" is proposed, namely that the number of…

Following the analytical approach suggested in Campbell, the authors consider a baseline real-business-cycle (RBC) model with endogenous labor supply. They observe that the coefficients in the loglinear approximation of the dynamic equations characterizing the equilibrium are related to the fundamental parameters in a relatively simple manner.…

In this study, the authors assess several strategies created on the basis of the Mantel-Haenszel (MH) procedure for conducting differential item functioning (DIF) analysis with small samples. One of the analytical strategies is a loss function (LF) that uses empirical Bayes Mantel-Haenszel estimators, whereas the other strategies use the classical…

This article presents a rich geometry problem and discusses its solution. A variety of mathematically correct justifications for this answer are provided. (Contains 2 figures.)

This study compares the performance of three nonparametric item characteristic curve (ICC) estimation procedures: isotonic regression, smoothed isotonic regression, and kernel smoothing. Smoothed isotonic regression, employed along with an appropriate kernel function, provides better estimates and also satisfies the assumption of strict…

The National Dropout Prevention Center for Students with Disabilities (NDPC-SD) was assigned the task of compiling, analyzing, and summarizing the data for Indicator 1--Graduation--from the FFY 2010 Annual Performance Reports (APRs) and amended State Performance Plans (SPPs), which were submitted by states to the Office of Special Education…

The students of the targeted fourth, fifth, sixth, and ninth grade classes exhibited difficulties with number sense that interfered with understanding and recall of basic math facts. Evidence for the existences of the problem included teacher observation, test scores, and student and teacher surveys. The research participants included 42 children…

Has it ever seemed to you that some students are hardwired to dislike math? If so, then here's a book that explains how negative attitudes toward math get established in the brain and what you can do to turn those attitudes around. Math teacher and neurologist Judy Willis gives you over 50 strategies you can use right away in any grade level to:…

This report summarizes the findings from a study on the impacts of Head Start on children and families during the children's preschool, kindergarten, and 1st grade years. Its study goals were to: (1) Determine the impact of Head Start on children's school readiness, and on parental practices that support children's development; and to (2)…

We describe the case of a child ("S") who was treated with radiation therapy at age 5 for a recurrent malignant brain tumor. Radiation successfully abolished the tumor but caused radiation-induced tissue necrosis, primarily affecting cerebral white matter. "S" was introduced to us at age 15 because of her profound dyslexia. We assessed cognitive…