Develops properties of tasks that are pedagogically efficient and allow students to discover mathematical concepts for themselves. Illustrates the structure and philosophy of powerful tasks for the concept of angle. Presents seven examples of powerful tasks, including two involving two-dimensional graphic systems. (Contains 39 references.)…

This article discusses the relationship between procedural and conceptual problem solving in a computer-supported collaborative learning (CSCL) environment designed within the field of science education. The contribution of this article, and our understanding of this phenomenon, is anchored in our socio-cultural interpretation, and that implies…

There is an obvious growth in the use of distributed and online learning environments. There is some evidence to believe that collaborative learning environments can be effective, especially when using advanced technology to support learning in and about complex domains. There is also an extensive body of research literature in the areas of…

Observes that most educators agree that an essential goal of education is the development of students who are effective problem solvers. Describes Problem Based Learning (PBL) environments where students act as professionals and confront problems as they occur. Outlines the stages of PBL and provides a bibliography for further reading. (DSK)

One trend in educational and cognitive learning theory being adopted by designers of computer-aided learning (CAL) tools and expert systems is case-based reasoning, or the use of previous examples or cases to solve new problems. This article examines principles of this method, including guided exploration, memory aids, and partially self-directed…

Much of traditional schooling in America is built around systems of compliance and control, characteristics which stifle the creative and entrepreneurial instincts of the children who are subjected to these tactics. This article explores a different approach to education, one that involves capturing the interest of the student through the use of…