This paper focuses on the changes in thinking involved in the transition from school mathematics to formal proof in pure mathematics at university. School mathematics is seen as a combination of visual representations, including geometry and graphs, together with symbolic calculations and manipulations. Pure mathematics in university shifts…

A teaching procedure and a curriculum construction model known as the learning cycle is described in this paper and research findings are discussed. Questions investigated include: (1) would students achieve more content understanding if taught with the learning cycle or exposition?; (2) would more content retention be evident if measurements were…

Reports on a study intended to establish a relationship between the M-space (mental energy) and the M-demand (the variable difficulties of Piagetian tasks presumed to entail the same logical structure) of different items of general chemistry. Recommends that chemistry teachers consider the role of cognitive factors in determining student success.…