Organizing refers to methods of distributing physical and symbolic tasks among multiple agents in order to achieve goals. My dissertation investigates the dynamics of organizing in hybrid information processing systems that incorporate both humans and computers. To explain the behavior of these hybrid systems, I develop and partially test a theory…

Cartesian tensor bases have been widely used to model spherical functions. In medical imaging, tensors of various orders can approximate the diffusivity function at each voxel of a diffusion-weighted MRI data set. This approximation produces tensor-valued datasets that contain information about the underlying local structure of the scanned tissue.…

In recent decades many comparative studies in mathematics have been conducted involving students in China and the United States. There have been claims that U.S. students are more creative than their Chinese counterpart, but Chinese students have better basics in mathematics. Nevertheless, there have been very few comparative studies on creativity…

This study examined which of two training models delivered through the internet led to better cultural competence in resolving ethical dilemmas with a sample of rehabilitation professionals. One type of training involved teaching a transcultural integrative model of ethical decision-making while the other training involved using the same…

An exact solution is found for the electrostatic potential of a family of conducting charged toroids. The toroids are characterized by two lengths "a" and "b", with "a" greater than or equal to "2b". They are closed, with no hole in the "doughnut". The results are obtained by considering the potential of two equal charges, displaced from the…

This study concentrates on analysing university students' pre-knowledge of thermal physics. The students' understanding of the basic concepts and of the adiabatic compression of an ideal gas was studied at the start of an introductory level course. A total of 48 students participated in a paper-and-pencil test, and analysis of the responses…

The demands control support model (R. A. Karasek & T. Theorell, 1990) indicates that job control and social support enable workers to engage in problem solving. In turn, problem solving is thought to influence learning and well-being (e.g., anxious affect, activated pleasant affect). Two samples (N = 78, N = 106) provided data up to 4 times per…

The remote associates test (RAT) is a complex verbal task with associations to both creative thought and general intelligence. RAT problems require not only lateral associations and the internal production of many words but a convergent focus on a single answer. Complex problem-solving of this sort may thus require both substantial verbal…

This article presents a mathematical solution to a motorway problem. The motorway problem is an excellent application in optimisation. As it integrates the concepts of trigonometric functions and differentiation, the motorway problem can be used quite effectively as the basis for an assessment tool in senior secondary mathematics subjects.…

Many exercises in mathematical induction require the student to prove a divisibility property of a function of the integers. Such problems are generally presented as being independent of each other. However, many of these problems can be presented in terms of difference equations, and the theory of difference equations can be used to provide a…

In 1992, Klamkin and Liu proved a very general result in the Extended Euclidean Plane that contains the theorems of Ceva and Menelaus as special cases. In this article, we extend the Klamkin and Liu result to projective planes "PG"(2, F) where F is a field. (Contains 2 figures.)

In these days of financial turmoil, there is greater interest in depositing one's money in the bank--at least one might hope for greater interest. Banks and various trusts pay compound interest at regular intervals: this means that interest is paid not only on the original sum deposited, but also on previous interest payments. This article…

Over the past four decades, numerous professionals in the field of environmental education (EE) have attempted to take stock of conditions within and outside of EE. In turn, many used the results of their analyses to describe challenges to and opportunities for EE. Many of these challenges and opportunities continue to ring true today, although…

Understanding time-dependent responses, such as transients, is important in electric circuit theory and other branches of engineering. However, transient response is considered difficult to learn since familiarity with advanced mathematical tools such as Laplace transforms is required. Here, we analyse and describe a novel learning environment…

In this article, the authors propose that pragmatism is a perspective with great promise for understanding and researching the work of small district superintendents and developing the abilities of both pre-service students and in-service practitioners to do that work. They maintain, based on their reading of focus group interviews with small…