Many students encounter difficulty in their transition to advanced mathematical thinking. Such difficulty may be explained by a lack of understanding of many concepts taught in early school years, especially multiplicative reasoning. Advanced mathematical thinking depends on the development of multiplicative reasoning. The purpose of this study…

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…

To illustrate the joint intervention of sociocognitive conflict and social marking in cognitive processes, 160 children (87 males and 73 females) in Geneva (Switzerland), with an average age of 6.5 years completed conservation of number and conservation of liquids tasks. Conflict and social marking are important in the acquisition of operational…

Psychometric information was obtained on the Longeot test, which measures aspects of formal thinking, from a sample of 884 high school science students in India taking a Hindi version of the test. The test version appears valid for these students and may be used to classify subjects into Piagetian developmental levels. (SLD)

The constructs of concrete and formal operational reasoning were examined in 459 15-year-old secondary school students (234 males and 225 females) in Singapore. Log linear models were used to explore the relationships between Piagetian level of reasoning, the level of intelligence, gender, and type of home-speaking environment among these…