Traces the evolution of college students' assumptions about knowledge and how it is gained, and examines how their judgment can be enhanced through teaching. Summarizes seven stages of reflective judgment, including three stages of prereflective thinking, two stages of quasi-reflective thinking, and two stages of reflective thinking. Suggests ways…

Encourages teachers to listen more carefully to what students say. Discusses two modes of reasoning in an effort to understand more deeply what students hear and the styles of reasoning that they might use in mathematics. (Contains 12 references.) (ASK)

Three experiments examined the role of representations in adolescents' deductive reasoning. Findings indicated that, with age, conditional reasoning improved on tasks containing permission conditional relations; reasoning fallacies increased on tasks containing causal conditional relations. Valid conditional inferences were more common on problems…

Formulates a framework for characterizing elementary children's (n=20) statistical thinking based on a review of research and a cognitive development model, and refines it through a validation process. Proposes four thinking levels which represent a continuum from idiosyncratic to analytic reasoning. Results confirm the four levels of children's…

Considers the cognitive mechanisms available to individuals which enable them to operate successfully in different parts of the mathematics curriculum, such as children's arithmetic shows divergence in performance. Explains how students cope with the transition to advanced mathematical thinking in different ways, leading once more to a diverging…

This article argues that advanced mathematical thinking, usually conceived as thinking in advanced mathematics, might profitably be viewed as advanced thinking in mathematics (advanced mathematical-thinking). Hence, advanced mathematical-thinking can properly be viewed as potentially starting in elementary school. The definition of mathematical…

Four experiments examined children's ability to reason about the causal significance of the order in which 2 events occurred (the pressing of buttons on a mechanically operated box). In Study 1, 4-year-olds were unable to make the relevant inferences, whereas 5-year-olds were successful on one version of the task. In Study 2, 3-year-olds were…

Twelve students with autism and 12 with mental retardation, who had passed a first-order test of false belief, were given a second-order reasoning task. No intergroup performance differences were seen. Findings suggest that the difficulty for both groups with the second-order task lies in information processing demands rather than conceptual…

Investigates 10-year-old children's abilities to reason by analogy in solving addition and subtraction comparison problems involving unknown compare sets and unknown reference sets. Children responded in a consistent manner to the tasks involving the basic addition problems, indicating substantial relational knowledge of these but responded in an…

Discusses students' progress through distinct levels in the development of their thinking as described by van Hiele levels. Focuses on the quadrilaterals and suggests some level 3 tasks and construction problems. (ASK)

A Swedish interview study of how deaf pupils reason about phenomena in a science context revealed significant variation in the extent to which pupils used scientific principles for reasoning about science phenomena, which suggests that for some pupils, school science offers little as a framework for reasoning. (Contains references.) (DB)

Examined effects of motivation and intellectual ability on adolescent reasoning. Fifty adolescents were presented "scientific" evidence relevant to their religious affiliations. A manipulation designed to motivate adolescents toward greater accuracy improved overall performance. Crystallized intellectual ability was linked to absolute level of…

A culturally appropriate test, The Test of Ability To Explain for Zulu-speaking Children (TATE-ZC), was developed to measure verbal problem solving skills of rural, Zulu-speaking, primary school children. Principles of "non-biased" assessment, as well as emic (culture specific) and etic (universal) aspects of intelligence formed the theoretical…

Undergraduate biology programs are currently undergoing reform to involve students in biomedical research. Engaging students in more active, hands-on experiments allows students to discover scientific principles for themselves, and to develop techniques of critical thinking and problem solving. This models the world of real scientific research,…

Sixty Japanese children ranging in age from 3 years 4 months to 7 years 5 months were individually interviewed with three Piagetian tasks. Children's levels of representation were assessed by asking for a graphic representation of 4 dishes, 6 pencils, 8 small blocks etc. A conservation-of-number task was then given to assess children's level of…