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…

Achievement in science depends among other factors on hypothetico-deductive reasoning ability; that is, on the developmental level of the students. Recent research indicates that developmental level of the students should be studied along with individual difference variables such as Pascual-Leone's M-capacity (information processing) and Witkin's…

Five- to six-year-old children estimated the size of Euclidian objects using an addition rule of Height plus Width, rather than a multiplying rule. Within the framework of information integration theory, tested whether intensive handling of objects would facilitate shift from addition rule to multiplication rule. Found that following handling,…

Analogies and examples from student's experiences are frequently cited as important to teaching conceptual material. This study was conducted in order to explore the effectiveness of an analogical teaching technique, which uses a connected sequence of "bridging" analogies, compared with a more standard teaching-by-example technique. The…

The purpose of this descriptive study was to investigate the developmental patterns in logical reasoning of students in grades 6-10 over a span of 20 months. The Group Assessment of Logical Thinking (GALT) was administered to the sample (N=84) during the fall of 1986, the fall of 1987, and the spring of 1988. The GALT measures six reasoning modes:…