In this study, the authors investigate the ways in which young students demonstrate their critical mathematical thinking (CMT). Students aged 5-6 who are beginning their first formal year of education participated in the study. Data is presented from individual clinical interviews undertaken with 16 students. These interviews were analysed using…

This paper addresses a problem that greatly complicates the implementation of dialogic educational approaches in schools: the dilemma between driving children's talk towards normatively accepted conceptions and, at the same time, avoiding the introduction of these normative conceptions into the dialogue by the teacher. I argue that this dilemma is…

This study aims to analyse the reasoning that children and adults with the same school level use to assess and justify the fairness of games, considering aspects of probability such as randomness, sample space, and comparison of probabilities. Data collection included a Piagetian clinical interview based on games of chance. The results showed that…

In formal education, the teaching of natural sciences begins when children are about 12 years old. Teachers justify this with the difficulty and abstraction of concepts in these sciences, and they refer to the theory of child development by Piaget. However, numerous examples from everyday life, from non-formal education, analysis of the…

There are many continuous quantitative dimensions in the physical world. Philosophical, psychological and neural work has focused mostly on space and number. However, there are other important continuous dimensions (e.g., time, mass). Moreover, space can be broken down into more specific dimensions (e.g., length, area, density) and number can be…

This study examined whether evidence for understanding the distinction between natural and man-made aspects of the world can be found in young children. Children 3, 5, and 7 years of age were asked to make judgments about the origins of 12 objects and people's ability to change the objects. The objects were evenly divided into naturally occurring…

Conceptions of 50 third graders (aged 8-9 years) in Italy about shopkeepers' profit were examined using the Piagetian clinical procedure, with an interview followed by a comparison task that checked comprehension. Teaching children about profit had a higher impact at posttest on children who could compare correctly. (SLD)

Reviews research on elementary school students' capacity for historical understanding. Suggests Piagetian theory is not applicable to historical thinking. Considers teaching approaches for developing elementary history instruction, including (1) embedding history in meaningful context; (2) use of narrative; (3) linking past and present; and (4)…

By the age of 4, children typically have separate schema for relating events in the physical world and for relating events to associated mental states. Generally, these schema cannot be coordinated until around 6 years of age, when the ability to use them together yields a structure for assigning intentionality. This intentional structure develops…

This paper explores the significance of experiential learning in promoting scholarship from a constructivist point of view. Chapter 1 examines the historical perspectives and educational theories that form the basis to experiential education. Chapter 2 explores the work of Jean Piaget, giving a description and explanation of his theories and how…