There are many advantages to having a national approach to teaching and learning mathematics. In England the approach brought with it a number of elements; a national curriculum, national tests and later a framework for teaching mathematics. There have been many great things emerge from these developments... an enhanced understanding of…

This article presents an e-mail conversation between two teachers discussing how to have a "rich task" lesson in which they get to the heart of mathematical modeling and in which students are motivated into working on mathematics. One teacher emphasizes that the power of maths is in developing mathematical descriptions of situations by…

In mathematics, the generation and validation of new knowledge frequently involves alternating between two major activities: (1) making generalizations; and (2) developing arguments. Engaging students in reasoning-and-proving is a challenging goal, but also an important one for deep learning and sense making in mathematics. In this article, the…

The ability of interlocking polygonal tiles, like those in the "Polydron Frameworks kit," to flex can give rise to polyhedra whose faces don't quite fit. In this article, the author discusses what happens with polyhedra whose faces don't quite fit. (Contains 2 notes.)

Display took a wide variety of forms ranging from students presenting their initial planning and thought processes, to displays of their finished work, and their suggestions for extending the task should they, or others, have time to return to it in the future. A variety of different media were used from traditional posters in many shapes and…