The topic of Bayesian updating is explored using standard and non-standard dice as an intuitive and motivating model. Details of calculating posterior probabilities for a discrete distribution are provided, offering a different view to P-values. This article also includes the stars and bars counting technique, a powerful method of counting that is…

To design and improve instruction in mathematical proof, mathematics educators require an adequate definition of proof that is faithful to mathematical practice and relevant to pedagogical situations. In both mathematics education and the philosophy of mathematics, mathematical proof is typically defined as a type of justification that satisfies a…

Structural reasoning is a combined ability to "look for structures, recognize structures, probe into structures, act upon structures, reason in terms of general structures, and see how a piece of knowledge acquired resolves a perturbation experienced" (Harel and Soto, 2017). The purpose of this study was to explore the cognitive…

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…

While educational development has long been aligned with organizational development in the literature (Berquist & Phillips, 1975; Gaffe, 1975), in practice this link has faded with time. Schroeder (2011) has recently asserted that given the broad-based changes in teaching and learning that are taking place at universities, it is important that…

What does current empirically informed moral psychology imply about the goals that can be realistically achieved in college-level applied ethics courses? This paper takes up this question from the vantage point of Jonathan Haidt's Social Intuitionist Model of human moral judgment. I summarize Haidt's model, and then consider a variety of…

Visualising subsurface processes in hydrogeology and building intuition for how these processes are controlled by changes in forcing is hard for many undergraduate students. While numerical modelling is one way to help undergraduate students explore outcomes of multiple scenarios, many codes are not user-friendly with respect to defining domains,…

Purpose: This paper attempts to reduce the gap between management education and practice. It emphasises day-to-day decisions that middle and lower level managers make. The purpose is to provide an education framework embodying a flexible approach to interpretation and solution creation, suitable for situations of ambiguity and uncertainty.…

This article points out the role of using literary models in relation to older children's writing; investigates how children's use of models can help us explain certain features in their writing; and suggests that teachers can incorporate in their teaching the natural process of using models that children follow when they write. (Author)

The writing approach framework provides a comprehensive perspective on college-level academic writing based on the relationship of writers' beliefs and strategies to the quality of written outcomes. However, despite increased demands for more and better writing at the graduate level, little is known about graduate-level writing processes or about…

The implications of the interaction between knowledge acquisition and problem solving are discussed. Options for the teaching of problem solving are listed including: giving students the opportunity to solve many problems, facilitating students' exploration of the mental processes used to solve problems, and providing explicit training in the…

An overview of Jung's theory of psychological type, a problem-solving model, types of students in different college majors, predictions about teaching problem solving to students, practical applications of the theory to the teaching of problem solving, and strategies that develop skills in perception and judgment are presented. (MLW)

This paper discusses a radically different set of assumptions to improve educational outcomes for disadvantaged students. It is argued that disadvantaged children, when exposed to carefully organized thinking-oriented instruction, can acquire the traditional basic skills in the process of reasoning and solving problems. The paper is presented in…