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.)

We advocate for problem-based learning (PBL) as a rhetorical pedagogy for business communication. Briefly put, classic PBL inverts the typical instructional sequence; rather than presenting concepts first and then asking students to apply them, PBL creates situations in which students must learn the concepts in order to solve a "problem"…

This paper describes the once-weekly psychoanalytic psychotherapy of a girl, called Ellie, aged eight at the start of her treatment. Ellie had a learning disability and displayed difficult behaviour at school and at home. In her therapy, Ellie grew in emotional intelligence, more in touch with and able to express her feelings. Her behaviour…

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…

Psychological assessment research concerns how to describe psychological dysfunction in ways that are both valid and useful. Recent advances in assessment research hold the promise of facilitating significant improvements in description and diagnosis. One such contribution is in the classification of personality disorder symptomatology. The…

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 short piece Stephanie Klein, a final-year teacher trainee at a college in the USA, talks about dyslexia as seen through the context of her family experience. She provides a highly personal and uplifting account, which accentuates that there is a range of straightforward strategies which students can invoke to address their learning…

This paper is a preliminary attempt to establish a working definition of academic freedom for the European Union states. The paper details why such a definition is required for the European Union and then examines some of the difficulties of defining academic freedom. By drawing upon the experience of the legal difficulties beset by the concept in…

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…

The transition from school to the world of post-compulsory education is a major landmark in the lives of young people with special educational needs (SEN). In England the Connexions service set up to support young people during transition was planned to provide both a universal service and one that provided special support to vulnerable young…

The didactic function of business games is often seen only in the development of sociocommunicative competences and general problem-solving strategies. An equally important aspect of business games lies in the acquirement of technical and problem-oriented knowledge, which is the focus of this article. Moreover, this knowledge dimension is further…

After years at the periphery of the social sciences, simulation is now emerging as an important and widely used tool for understanding social phenomena. Through simulation, researchers can identify causal effects, specify critical parameter estimates, and clarify the state of the art with respect to what is understood about how processes evolve…

This article presents the findings of a single case study of the United States Open University (USOU), including factors affecting its demise and success. Interviews were conducted with administrators, board members, associate faculty, and staff who played a major role in the planning and operation of the USOU, and pertinent documents were…