In this paper, different schools of thought are discussed and compared to encourage lively classroom discussion and interest in mathematics for high achieving Form 12 students and first (or higher) year university students enrolled in a mathematics degree program. In particular the work and views of two mathematicians, Kurt Godel (1931) and Ian…

Geographically distant classrooms can be a ripe learning space for teacher educators who want to show preservice teachers the power of technology in the English classroom. A classroom teacher described how she used a social networking platform to allow for collaboration with a preservice teacher in the hopes of making student literary analysis…

Despite the long history of the study of pedagogical content knowledge (PCK), two facts remain obvious. First, there are almost as many conceptions regarding the definition of PCK as there are researchers interested in it. Second, it is largely unclear which methods enable teacher educators to best prepare teacher candidates to use PCK. Recently,…