The role of probability in curricula for children has fluctuated greatly over the past several decades. Recently, some countries have removed probability from their preschool and primary curricula, and others have retained it. One reason for such lack of agreement is that theory about early probability learning is still relatively new and under…

Talent identification and development systems (TIDS) adopt a deterministic perspective (i.e. athletes' future state/performances can be predicted by observations of their initial state/performance), which encourages early identification and specialisation in sport. In this framework, the main aim of sport systems is to enhance predictability and…

Rich learning tasks embedded within a familiar context allow students to work like mathematicians while making sense of the mathematics. This article demonstrates how 11-12 year-old students were able to employ all of the proficiency strands while demonstrating a deep understanding of some of the "big ideas" of probabilistic thinking.

The multiplicative principle is the tool allowing the counting of groups that can be described by a sequence of events. An event is a subset of sample space, i.e. a collection of possible outcomes, which may be equal to or smaller than the sample space as a whole. It is important that students understand this basic principle early on and know how…

Early psychologist William James [1842-1910] and philosopher John Dewey [1859-1952] described intelligence as a method which can be learned. That view of education is integrated with knowledge about the brain's executive functions to empower pupils to intelligently organize their learning. This article links the pragmatist philosophy of…

A connectionist model of causal attribution is presented, emphasizing the use of domain-general principles of processing and learning previously employed in models of semantic cognition. The model categorizes objects dependent upon their observed 'causal properties' and is capable of making several types of inferences that 4-year-old children have…

The underlying proposition for any experimental/therapeutic trial is the uncertainty that the risks of treatment will be outweighed by its benefits. For some therapeutic interventions (e.g., exercise programs, vitamin supplementation), the potential for treatment-emergent adverse events may prima facie be low or negligible, whereas for others…

Can children reason the Bayesian way? We argue that the answer to this question depends on how numbers are represented, because a representation can do part of the computation. We test, for the first time, whether Bayesian reasoning can be elicited in children by means of natural frequencies. We show that when information was presented to fourth,…

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 early onset of disability (at birth through young adulthood) can affect a person's employment outcomes in myriad ways. In addition to the direct effect of disability on employment, early onset of disability likely affects the acquisition of education and job skills (human capital). This reduced "investment" in human capital in turn may reduce…