A probabilistic item response theory (IRT) model is developed for pair-comparison design in which the unfolding principle governing the choice process uses a discriminant process analogous to Thurstone's Law of Comparative Judgment. A simulation study demonstrates the feasibility of estimation, and two examples illustrate the implications for…

Describes a seven-year-old boy's activity of drawing pictures of his favorite sport of basketball. The boy's drawing involved the use of proportional reasoning, which requires an understanding of how relationships between objects vary systematically. (BB)

Presents mathematical models to determine whether seven-game baseball playoff series are significantly fairer than five-game series. Compares the results obtained from the models to actual playoff results. (MDH)

Presents one model for a liberal arts mathematics course that combines probability and calculus. Describes activities utilized in the course to heighten students' interest and encourage student involvement. Activities include use of visualization, take-home tests, group problem solving, research papers, and computer usage with DERIVE computer…

Presents an activity to analyze the data from the Challenger explosion to help students understand the critical role of statistics in decision making and the importance of considering all available data. (MKR)

A two-parameter logistic regression model for personnel selection is proposed. The model was tested with a database of 84,808 military enlistees. The probability of job success was related directly to trait levels, addressing such topics as selection, validity generalization, employee classification, selection bias, and utility-based fair…

Presents an activity for introducing probability by investigating the Chinese policy of having one child per family and a one-son policy of some rural Chinese. Discusses features of the problem, including counterintuitiveness, multiple options for analysis, and thought experiments. (MKR)

Presents an analysis of the question in the title which involves a discussion of fractions, number theory, and probability through modeling, exploring, and other mathematical connections. (MKR)

Presents a game called Push-Penny, played by pushing a coin and having it land on a line, used to teach students to develop intuitive feelings for the consequences of randomness, including data handling and the construction and use of tables and graphs. (ASK)

The design of "Probability Explorer" was inspired by: lack of research-based elementary probability software; constructivist principles for designing computer microworlds; and research on children's probabilistic reasoning. Discussion includes the inspirational and theoretical basis for design; conceptualizing the "Probability Explorer"…

The aim of this article is to analyse the transferability of higher education undertaken abroad to a domestic labour market. More specifically, how do Norwegians who have undertaken their education abroad cope on the labour market compared to those who have a corresponding education from Norway? To examine this, we analyse short-term labour market…

As children make the transition to school, many things may change for them. Among these are the ways they interact with curriculum areas such as mathematics. This paper explores some of these changes by considering examples of children's mathematical experiences in prior-to-school and school settings and analysing them in terms of the mathematical…

We investigated learning-related changes in amplitude, scalp topography, and source localization of the mismatch negativity (MMN), a neurophysiological response correlated with auditory discrimination ability. Participants (n = 32) underwent two EEG recordings while they watched silent films and ignored auditory stimuli. Stimuli were a standard…

An experiment examined the conditions under which an expert source induces less competent targets to adopt a point of view contradicting their own in a context of information transmission. In a 2x2 factorial design participants (N=86) were either 1st year or 4th year university students, and the style of the message delivered by the epistemic…

This study considers the teaching of probabilities and statistics to a group of preschool children using traditional classroom activities and Internet games. It was clear from this study that children can show a high level of understanding of probabilities and statistics, and demonstrate high performance in probability games. The use of Internet…