This article details an exploration of exponential decay and growth relationships using M&M's and dice. Students collect data for mathematical models and use graphing calculators to make sense of the general form of the exponential functions. (Contains 10 figures and 2 tables.)

This article describes a project in which certain key concepts in probability were explored using graphics calculators with year 10 students. The lessons were conducted in the regular classroom where students were provided with a Casio CFX 9850 GB PLUS graphics calculator with which they were familiar from year 9. The participants in the…

This paper provides a longitudinal perspective on changes in Italian men's earnings inequality since the late 1970s by decomposing the earnings autocovariance structure into its long-term and transitory parts. Cross-sectional earnings differentials grew over the period and the longitudinal analysis shows that such growth was determined by the…

This research study investigates the effectiveness of two different theoretical models, constructivism and traditionalism, on third grade students' academic achievement in establishing mathematical connections in learning multiplication basic facts. Four third grade classes in a St. Louis area Public School District were grouped into two sections,…

This article explores the intuitions of secondary education majors regarding probability. This is accomplished by administering a two-question instrument to 113 participants. Their responses to these questions, and more importantly the explanations they provide for these answers, are analysed. The conclusions drawn may be informative to teachers…

Research on violence prediction during the past 2 decades has evolved appreciably in terms of depicting determinants of violence and developing psychometrically sound actuarial measures to predict the probability of future violent behavior. This article provides a brief synopsis of information on predicting violence gained in the past 2 decades,…

During the 1980s and 1990s, the quantity of probability being taught in mathematics lessons in primary schools in England and Wales went from minimal to extensive and back again. A great deal of effort was invested in a project to incorporate probability into the primary curriculum that has now almost been abandoned. In this article I will attempt…

When the underlying responses are on an ordinal scale, gamma is one of the most frequently used indices to measure the strength of association between two ordered variables. However, except for a brief mention on the use of the traditional interval estimator based on Wald's statistic, discussion of interval estimation of the gamma is limited.…

Individuals are typically more likely to continue to interact with people if they have a positive impression of them. This article shows how this sequential sampling feature of impression formation can explain several biases in impression formation. The underlying mechanism is the sample bias generated when the probability of interaction depends…

The CODE Theory of Visual Attention (CTVA) is a mathematical model explaining the effects of grouping by proximity and distance upon reaction times and accuracy of response with regard to elements in the visual display. The predictions of the theory agree quite acceptably in one and two dimensions (CTVA-2D) with the experimental results (reaction…

This article presents an approach to enrollment management based on target marketing strategies developed from a choice-based segmentation methodology. Students are classified into "switchable" or "non-switchable" segments based on their probability of selecting specific majors. A modified multinomial logit choice model is used to identify…

The European higher education landscape is inhabited by three clans: the Euro-philiac, his wicked twin, the Euro-phobic and most interesting of all, the Euro-sceptic. This unholy trinity has long been with us. Though the recent Euro electoral fiasco has in all probability served to bolster the ranks of the second and third tribes.

Phonotactic probability, a measure of the likelihood of occurrence of a sound sequence, appears to facilitate noun learning (H. L. Storkel, 2001). Nouns and verbs, however, tend to differ in rate of acquisition, indicating that word-learning mechanisms may differ across grammatical class. The purpose of the current study was to examine the effect…

In this note we consider an experiment involving an urn and k balls with numbers 1, 2, 3, ..., k. The experiment consists of drawing n balls either with replacement or without replacement. We note some surprising results.

Causal inference is an important, controversial topic in the social sciences, where it is difficult to conduct experiments or measure and control for all confounding variables. To address this concern, the present study presents a probability index to assess the robustness of a causal inference to the impact of a confounding variable. The…