A triple (x,y,z) of natural numbers is called a Primitive Pythagorean Triple (PPT) if it satisfies two conditions: (1) x[squared] + y[squared] = z[squared]; and (2) x, y, and z have no common factor other than one. All the PPT's are given by the parametric equations: (1) x = m[squared] - n[squared]; (2) y = 2mn; and (3) z = m[squared] +…

Australian teachers in Church related schools have begun to use the term "spiritual intelligence" in their educational discourse. Is it accurate to describe spirituality as a form of intelligence? This paper explores whether the notion of spiritual intelligence is plausible. It addresses this firstly by discussing the notion of spiritual…

While research on globalisation can hardly be said to have ignored the phenomenon of the global corporation or the globally distributed supply chain, the focus has overwhelmingly been on "globalization from above"--on corporate structures and on the movement of global capital in global "knowledge economies". My focus in this…

This article describes the variety of strategies that can be used to determine the probability that a player wins a tennis game, given a probability of 60 percent that he or she wins each point. The article suggests strategies for using the problem in 9-12 classrooms.

This article outlines an engineering problem requiring the use of a specialized trigonometric formula, and offers an answer to that age-old classroom question, "When are we gonna have to use this"?

Students analyze a photograph to solve mathematical questions related to the images captured in the photograph.

This article describes the rich thinking that can go into solving a difficult equation. The authors also give some sources for challenging mathematical problems.

Many research students go through periods where their research seems to stall, their motivation drops, and they seem unable to make any progress. As supervisors, we attempt to remain alert to signs that our student's progress has stalled. Drawing on cognitive strategies, this article explores a problem-solving model supervisors can use to identify…

This article proposes that student-written math riddles can provide worthwhile mathematical tasks that support the learning of important concepts as they engage and challenge children. It describes procedures for guiding students as they create math riddles for their classmates to solve.

This article describes some benefits of using problem posing in the classroom, and provides suggestions to teachers for how to begin implementing this strategy.

Of the forces commonly encountered when solving problems in Newtonian mechanics, introductory texts usually limit illustrations of the definitions of conservative and nonconservative forces to gravity, spring forces, kinetic friction and fluid resistance. However, at the expense of very little class time, the question of whether each of the common…

The results of an action research project in which young children in one classroom are encouraged to solve and pose their own problems in their first year at school are described. The progress of these children supports the finding that kindergarten children could solve a variety of quite difficult word problems on their own.

Describes a Palestinian school, the Ashtar School for Theater Education and Training, that has designed a program to stimulate young people to define problems in new ways and then develop solutions. The school coordinates programs in high schools and universities and takes into account the gaps in the present curriculum of Palestinian secondary…

E-learning has acquired a prime place in many discussions recently. A number of research efforts around the world are trying to enhance education and training through improving e-learning facilities. This paper briefly explains one such attempt aimed at designing a system to support video clips in e-learning and explains how profiles of the…

Typically, school curriculum has been viewed through the lens of preparation for the workplace or higher education--both worthy objectives. However, this is not the only lens, and perhaps not even the most powerful one to use, if the goal is to optimize the educational system. "Curriculum on the Edge of Survival" attempts to define basic aspects…