In Probability and Statistics taught to mathematicians as a first introduction or to a non-mathematical audience, joint independence of events is introduced by requiring that the multiplication rule is satisfied. The following statement is usually tacitly assumed to hold (and, at best, intuitively motivated): If the n events E[subscript 1],…

How effective is training frogs to jump? This is perhaps the most frequent question in biology that is subjected to statistical analysis: does a treatment make a difference? One can examine whether there is indeed a training effect, by first assuming the opposite. That is, the authors assume that training has no effect on the mean distance jumped.…

Surprise is often defined in terms of disconfirmed expectations, whereby the surprisingness of an event is thought to be dependent on the degree to which it contrasts with a more likely, or expected, outcome. The authors investigated the alternative hypothesis that surprise is more accurately modeled as a manifestation of an ongoing sense-making…

In this article, we show a dynamic graphic in Excel that is used to introduce an important concept in our subject, Statistics I: the probability density function. This interactive graphic seeks to facilitate conceptual understanding of the main aspects analysed by the learners.

Past studies show that novel auditory stimuli, presented in the context of an otherwise repeated sound, capture participants' attention away from a focal task, resulting in measurable behavioral distraction. Novel sounds are traditionally defined as rare and unexpected but past studies have not sought to disentangle these concepts directly. Using…

The authors investigated conditions under which judgments in source-monitoring tasks are influenced by prior schematic knowledge. According to a probability-matching account of source guessing (Spaniol & Bayen, 2002), when people do not remember the source of information, they match source-guessing probabilities to the perceived contingency…

Objective: The objective of this study was to investigate the relationship between classroom psychological climate and the physical and sedentary behaviour of primary school students after the implementation of an innovative education programme regarding nutrition and physical activity. Design: Randomised controlled trial. Setting: Study…

Objective: This article reports on the acceptability and results from an evaluation of an empirically supported practice, The Incredible Years, tailored to parents of children with autism spectrum disorder (ASD). Methods: Two groups of parents (N = 17) participated in a mixed methods test with no comparison group of the 15-week intervention. Data…

The incidence of work accidents in the construction industry particularly in Indonesia and generally internationally shows an increasingly worrying trend given that either quantitatively or qualitatively the number of work accidents is very large compared to that of other industrial sectors. The main causing factors are mostly due to the workers'…

Determining the effectiveness of many special education interventions is most difficult because of the practical and ethical limitations associated with assigning participants to a control or non-treated group. Using Longitudinal Study of Australian Children data, this article utilised eight different propensity score analysis methods to determine…

This article describes activities in which students deepen their relational understanding of the equals sign through exploring inequalities in a competitive dice game, built around the familiar fairy-tale "The Three Little Pigs" and "The Big Bad Wolf." The activity can be adapted to different abilities by choosing more or less…

It is well documented that academic achievement of students from families of low socioeconomic status (SES) tends to be below their more socially advantaged peers. Several studies have identified factors and conditions that facilitate academic success for disadvantaged students (i.e., promote academic resilience). However, one of the main…

The purpose of this study was to examine the impact on learning, attitudes, and costs in a redesigned general education undergraduate biology course that implemented web-based virtual labs (VLs) to replace traditional physical labs (PLs). Over an academic year, two new modes of VL instruction were compared to the traditional PL offering: (1) all…

Service-learning has roots deep in higher education. Community colleges and service-learning have an organic relationship as they both strive to represent and support their local communities. This study implemented propensity score matching to study the impact of service-learning on student outcomes for community college students. Much of the…

High-performing teachers tend to seek out positions at more affluent or academically challenging schools, which tend to hire more experienced, effective educators. Consequently, low-income and minority students are more likely to attend schools with less experienced and less effective educators (see, for example, DeMonte & Hanna, 2014; Office…