Just as the tree bridges the worlds of earth and air-light, transforming energies so that there is a flow of nutrients between these two worlds, so too teachers can be seen as bridges or mediators between the world of learners and the world of mathematics. In this speech, the author suggests that one of the principal roles for mathematics…

Attempts to distinguish between the lecture method and the constructivist approach, in general, and by citing classroom scenarios. The author cautions those whose writing seems to unintentionally endorse traditional lecture and drill and practice methods. (MKR)