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…

Universities and technikons have been struggling to meet the demands of growing numbers of students who enter higher education with limited skills. Higher Education literature abroad provides an exhaustive range of theory about the reasons for students leaving (cited in Strauss & Volkwein 2002), as well as proposals for positive intervention.…

Unfolding response models, a class of item response theory (IRT) models that assume a unimodal item response function (IRF), are often used for the measurement of attitudes. Verhelst and Verstralen (1993)and Andrich and Luo (1993) independently developed unfolding response models by relating the observed responses to a more common monotone IRT…

This paper describes the development, implementation, and evaluation of an automated system for predicting the acceptability status of candidate reading-comprehension stimuli extracted from a database of journal and magazine articles. The system uses a combination of classification and regression techniques to predict the probability that a given…

Helping teachers envision how math standards can be integrated into the secondary classroom, this book presents engaging activities and ready-to-use lessons aligned with NCTM content and process standards. This user-friendly book by mathematics educator Timothy J. McNamara is filled with a generous collection of lessons for each of the ten NCTM…

Students are usually quick to draw conclusions about their surroundings. Their generalizations, however, are often based on a single experience or even a story recounted by a friend. An individual's ability to reason inductively improves as he gains more experience in the world. The ability to draw broad conclusions also improves with an…

ProbLab is a probability-and-statistics unit developed at the Center for Connected Learning and Computer-Based Modeling, Northwestern University. Students analyze the combinatorial space of the 9-block, a 3-by-3 grid of squares, in which each square can be either green or blue. All 512 possible 9-blocks are constructed and assembled in a "bar…

More than a decade has passed since Curriculum and Evaluation Standards for School Mathematics (NCTM 1989) and Professional Standards for Teaching Mathematics (NCTM 1991) were published, and the question of whether students' learning of mathematics has improved during that time has frequently been asked. Scores on the mathematics assessment of the…