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…

This article explores relationships between designing and making in the work of children within the age range 5-11 when engaged in practical modelling tasks. The notion of the model is explored from the perspective of concrete representations. It is suggested that concrete models may be used as hypotheses from which to test ideas about the nature…

Reports a study of 922 college students that classified the students based on performance on formal operational reasoning tasks. Students were also administered seven logic tasks. Response patterns were analyzed and found to be similar to patterns derived from the multiple-hypothesis theory of advanced scientific reasoning and different from those…

This article reviews Piagetian theory on formal operational thought, the relationship of psychometric intelligence and formal operational thought, the development of formal operational thought in gifted children, problems encountered with Piagetian theory and attempts to modify it, and implications of the post-Piagetian perspective for education…

Reports a study that analyzes the importance of individual difference variables in explaining subject performance in formal reasoning in 72 first-year college students. (PR)

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.…

A rethinking of the major concepts held about the post-industrial society presents educators with the challenge of translating research insights into the praxis of everyday life to improve students' employability. Forecasters of an "information society" where Americans engage only in services and communications forget that an…