The contrary of stochastic independence splits up into two cases: pairs of events being favourable or being unfavourable. Examples show that both notions have quite unexpected properties, some of them being opposite to intuition. For example, transitivity does not hold. Stochastic dependence is also useful to explain cases of Simpson's paradox.

This article offers a new conceptualisation of sensemaking in social work assessment. During assessment, social workers are required to make sense of a wide range of information. This may include written reports, behavioural cues, verbal, sensory and emotional data. In this article, the term "sensemaking" is used to refer to the…

Using the famous Birthday problem, we present here a practical activity that allows students to perceive the basic reasoning behind simulation and explore its potential. Through a playful approach with probabilities, students are led along a path that illustrates difficulties with intuition and introduces them to theoretical results for sample…

When a Year 7 student physically reacted to a prompt of another student by anxiously drumming the desk with his ruler, exclaiming "uuuuhh", the initial thought of the observing researcher, Laura, was: "this is an interesting account". This started a reflective journey of first applying robust research methodologies to the…

Both scientists and children make important structural discoveries, yet their computational underpinnings are not well understood. Structure discovery has previously been formalized as probabilistic inference about the right structural form--where form could be a tree, ring, chain, grid, etc. (Kemp & Tenenbaum, 2008). Although this approach…

The cognitive relationship between intuition and proof is complex and often students struggle when they need to find mathematical justifications to explain what appears as self-evident. In this paper, we address this complexity in the specific case of open geometrical problems that ask for a conjecture and its proof. We analyze four meaningful…

Probabilistic reasoning underpins much of middle school students' future work in data analysis and inferential statistics. Unfortunately for many middle school students, probabilistic reasoning is not intuitive. One specific area in which students seem to struggle is determining the probability of compound events (Moritz and Watson 2000). Research…

This is an educational psychology book that focuses on human development, the human being, teaching, and learning. It is appropriate for preservice teachers who are seeking to comprehend essential theories and concepts in educational psychology. It is also appropriate for practicing teachers who want to understand and apply these theories and…

A textbook model of a contagious disease, the dynamics of which are represented by the SIS epidemic model with saturating treatment, is considered. I show that this model, as originally formulated, is not dimensionally consistent. The model can be fixed by including a dimensional constant [alpha] of value one (with units individuals[superscript…

Students in a course on the psychology of language and thought first wrote flash fiction stories and analyzed them using course concepts. As an experiential learning exercise, they subsequently analyzed those stories for a number of psycholinguistic variables using the discourse technology Coh-Metrix. Their assignment was to change a number of…

Steve Shann's latest book is a novel called "The Worlds of Harriet Henderson". It's about 15-year-old Harriet Henderson who has a new English teacher, Molly McInness, and all at once school seems full of possibilities. But, inspired by Molly and impelled by her own adolescent restlessness, Harriet makes an impulsive decision, a decision…

Divining meaning in the world around us and integrating that into the stories we tell about who we are and what motivates us is essential to both our cognitive processing and overall well-being. At the same time, our conscious processes are dependent on inputs from our social and physical environment for the raw materials needed to develop…

This article presents a fundamental advance in the theory of mental models as an explanation of reasoning about facts, possibilities, and probabilities. It postulates that the meanings of compound assertions, such as conditionals ("if") and disjunctions ("or"), unlike those in logic, refer to conjunctions of epistemic…

In this article, the practice of mindfulness is examined as a useful tool to address the internal and external stressors that occur daily for gifted students and their teachers. A culture of calm can be created when these simple, effective, and inexpensive evidence-based strategies are implemented within the classroom. Beyond enhancing empathy and…

"Transcendentalism" refers to philosophical, religious, and literary beliefs held by Ralph Waldo Emerson, Henry David Thoreau, Margaret Fuller, Amos Bronson Alcott, and other writers in New England during the 1830s and 1840s. Emerson believed in the significance of one's intuition and individuality. He expresses these beliefs in his…