The one-dimensional particle-in-a-box model used to introduce quantum mechanics to students suffers from a tenuous connection to a real physical system. This article presents a two-dimensional model, the particle confined within a ring, that directly corresponds to observations of surface electrons in a metal trapped inside a circular barrier.…

Location of suicide is a neglected area in suicidology, but is important because location is related to the presence of motivated rescuers who can prevent suicides. The present study analyzes the predictors of suicide in a location that is apt to be free of motivated rescuers: the motel room. Data from the files of a medical examiner in a…

We assessed the effects of reinforcement and no reinforcement for compliance to high-probability (high-p) instructions on compliance to low-probability (low-p) instructions using a reversal design. For both participants, compliance with the low-p instruction increased only when compliance with high-p instructions was followed by reinforcement.…

The probability of death resulting from a suicidal act as a function of age is explored. Until recently, data on suicide attempts in the United States were not available, and therefore the relationship between attempts and completed suicide could not be systematically investigated. Now, with new surveillance of self-harm data from the Centers for…

Despite the increasing number of neuroimaging studies of syntactic gender processing no model is currently available that includes data from visual and auditory language comprehension and language production. This paper provides a systematic review of the neural correlates of syntactic gender processing. Based on anatomical information from…

In a serial recall task, the "Hebb repetition effect" occurs when recall performance improves for a sequence repeated throughout the experimental session. This phenomenon has been replicated many times. Nevertheless, such cumulative learning seldom leads to perfect recall of the whole sequence, and errors persist. Here the authors report…

This article, which describes integrating virtual manipulatives with the teaching of probability at the elementary level, puts a "virtual spin" on the teaching of probability to provide more opportunities for students to experience successful learning. The traditional use of concrete manipulatives is enhanced with virtual coins and spinners from…

A standard mattress can be positioned on a bed frame in any of four orientations. Suppose that four times a year the mattress is rotated into one of the three possible new orientations, chosen at random. According to an article in The American Scientist, a computer simulation suggests the rather surprising result that over a period of 10 years,…

Despite many applications of prospect theory's concepts to explain political and strategic phenomena, formal analyses of strategic problems using prospect theory are rare. Using Fearon's model of bargaining, Tversky and Kahneman's value function, and an existing probability weighting function, I construct a model that demonstrates the differences…

Dealing with alternative causes is necessary to avoid making inaccurate causal inferences from covariation data. However, information about alternative causes is frequently unavailable, rendering them unobserved. The current article reviews the way in which current learning models deal, or could deal, with unobserved causes. A new model of causal…

In this article, we show how "Laplace Transform" may be used to evaluate variety of nontrivial improper integrals, including "Probability" and "Fresnel" integrals. The algorithm we have developed here to evaluate "Probability, Fresnel" and other similar integrals seems to be new. This method transforms the evaluation of certain improper integrals…

In this article, the author analyzes the cricket series match between England and Australia by applying the concept of probability. The author presents solutions for obtaining results of either team winning or both ending up in a draw in the situation of a five-match series. The author also analyzes the probability wherein the series is still…

Researchers conducting structural equation modeling analyses rarely, if ever, control for the inflated probability of Type I errors when evaluating the statistical significance of multiple parameters in a model. In this study, the Type I error control, power and true model rates of famsilywise and false discovery rate controlling procedures were…

Often the differences students see in science and mathematics classrooms are in perspective, approach, or application. Understanding those differences can help teachers to present a unified picture of mathematics and science to their students. In this article, the science teacher is given a glimpse of the treatment of topics shared by both…

The first exam in a typical first-semester general chemistry course is used to identify students at risk of failing the course. The performance at Hunter College of 667 students on the first exam in general chemistry in seven different classes between fall 2000 and fall 2005 was correlated with the students' final score in the course. The…