Interviews of one child through grades one through five on several combinatorics tasks indicated the student's progress in classifying, organizing, and reorganizing data. Provides significant insight into the process by which the student learned to make proofs. (Author/MKR)

In a study of early functions of negation (rejection and denial), 48 children under age 3 were asked easy yes/no questions. The most likely age range for the appearance of error-free denial "no" at 1 year/8 months to 2 years/1 month supports the continuity theory of negation development. (Contains 27 references.) (Author/LB)

This article demonstrates that the cognitive complexity and personality traits of gifted children create unique experiences and awarenesses that separate them from others. A central feature of children's gifted experience is their moral sensitivity and the asynchronous development of their inner world, which need to be understood and nurtured.…

Children were asked whether someone would get sick from drinking juice placed near a bug. Some preschoolers and most seven- and eight-year olds recognized the need for physical contact with the bug to make the juice noxious, whereas some believed the mere presence of a contaminant made it noxious. Thus, associational contamination sometimes plays…

Undergraduates in an abstract algebra course were interviewed to see how they learned the concept of isomorphism. Analysis showed students used step-by-step procedures, exhibited various degrees of personification in their language, and chose properties they perceived as simpler. (MKR)

Observations of high school physics students in an instructional experiment with an interactive learning environment in geometrical optics indicated that students in the Optics Dynagrams Project went through major conceptual developments as reflected in the diagrams they constructed. (Author/MKR)

Suggests that Kuhn's study reported in this issue (PS 524 345) offers insight into how people make casual inferences, and raises important questions about these processes. (JW)

Responds that questions of study by Kuhn and others (PS 524 345) in this issue were motivated by concerns about the role of scientific thinking in general thinking, not in development of scientific reasoning. Study was meant to increase understanding of role of strategies in development, not provide definitive explanation of how strategies fit…

Describes the past history and present reforms of the Department of Mathematical Sciences at the United States Military Academy. (MKR)

Cluster analysis of data from 166 children with autistic spectrum disorders revealed 4 subtypes with differences in behavioral and cognitive areas. The four subtypes include a typically autistic group, a low-functioning group, a high-functioning group (Asperger syndrome/schizoid), and a hard-to-diagnose group with mild/moderate retardation and a…

Suggests that the central focus of the article by Raver and Leadbeter (PS 521 712) in this issue is the ways individuals know. Examines two ways of knowing, verbal responses to questions and action without verbal response; and outlines a four-level developmental sequence of knowing that develops from one's own knowing to having a perspective on…

Preschool children experienced two special events and were asked a set of questions about one of the events on four different occasions over a seven-week period. Findings suggest that adult questioning enhances memory for specific recall, but does not enhance general memory performance. Results raise issues regarding how much children tailor their…

Discusses the implementation and evaluation of a program designed to introduce student portfolios in place of formal assessments at a university preschool. Parents of an experimental group of 20 students who constructed portfolios had a better understanding of the preschool program's cognitive and academic components than parents of a control…

Presents an approach to quadratic functions that draws upon knowledge of linear functions by looking at the product of two linear functions. Then considers the quadratic function as the sum of three monomials. Potential advantages of each approach are discussed. (Contains 17 references.) (MDH)

Comments on Flavell's paper (PS 522 962) presented in the same issue. Stresses some of the positive aspects of preschoolers' conception of thinking, and raises questions about the relatively negative portrait of young child's introspective abilities. Discusses evidence of introspection among preschoolers, and underlines the special, and…