The study suggests that developing greater facility in linguistic skills may well produce greater cognitive differentiation and enhance the process of objectification. (Author)

Describes the use of chess instruction to develop abstract thinking skills and problem solving among gifted students. Offers suggestions for starting school chess programs, teaching and evaluating chess skills, and measuring the success of both student-players and the program in general. (PB)

Three experiments tested 3- and 4-year-olds' use of abstract principles to classify and label objects by shape or function. Findings indicated that 4-year-olds readily adopted either rule when instructed to match objects by shape or function, but 3-year-olds followed only the shape rule. Without a rule, 4-year-olds tended to match by shape unless…

Explores the effects of Roundhouse diagram construction on a previously low-performing middle school science student's struggles to understand abstract science concepts and principles. Based on a metacognition-based visual learning model, aims to elucidate the process by which Roundhouse diagramming helps learners bootstrap their current…

The paper questions the relationship among reason, imagination, and empathy, and argues that empathy fosters critical and creative thinking and that its enhancement should be adopted as an important educational goal. The paper proposes that critical and creative thinking are much more integrated processes than often supposed. (JDD)

The relationship between memory and reasoning was investigated in three experiments involving children in grades one, four, and seven, and college students. Results indicated that performance was dependent on subjects' abilities to integrate relevant subskills, rather than on deficient reasoning or missing subskills. (RJC)

Reports five experiments that challenge the view that young children's understanding of race is based primarily on superficial differences in appearance. Found that young children's inferences about human racial variation involved domain-specific reasoning that parallelled, but were distinct from, common sense understanding of naive biology. (DR)

Surface and relational similarity were examined in two experiments involving isomorphic and nonisomorphic analogical transfer, using direct-mapping and cross-mapping conditions. In the first experiment, third and sixth graders exhibited mapping based on relational similarity more frequently than did kindergartners; in the second, most four- to…

A social semiotic approach to math is necessary because of the increasing significance of abstract tools in the workplace. A case study from the coal mining industry illustrates the need to recognize mathematics as a socially constructed system and to contextualize math instruction. (SK)

Describes a study in which 383 children in grades 1 through 5 were individually interviewed to find out at what point they construct unit iteration out of transitive reasoning. Indicates that most children construct unit iteration out of transitive reasoning by fourth grade. Suggests a better approach to the teaching of measurement that presents…

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…