Mathematics is generally regarded as a well-structured discipline by educators and cognitive scientists. This leads to the analysis of the suggestion that practitioners begin investigating possibilities for teaching mathematics as if it were an ill-structured discipline, with more than one interpretation for mathematical statements. The paper is…

In an experiment using a conditional logic task, subjects were given a set of cards defining a particular conditional relationship. The subjects were required to determine the rule and predict the outcomes of the rule. Rule structure was varied by providing subjects with either a suggested rule, a partial rule, or no rule for each set of cards.…

A category system for organizing six thinking skills and methods for teaching these skills, using the concept of time, are provided. Representing a proposed sequential order of development, the six thinking skills are: (1) imaging--the creating of an internal mental representation of an external thing and the labeling of that representation, (2)…

This paper discusses the interaction of cognition and physiological factors in emotion from the viewpoint of a developmental-interactionist theory of motivation and emotion. Emphasis is given to the role of cognition in the theory of emotion. The nature of cognition is discussed in terms of (1) the "primacy" of emotion versus cognition;…

Assesses three papers in this volume, those by Wellman and Estes, Olson and Torrance, and Hall and Nagy, for their treatment of the following: (1) definition of semantic space, (2) defining children's processes of understanding that space, and (3) describing the contexts in which cognitive language is used. (AEW)

Designed to promote cooperative efforts between researchers in artificial intelligence and instruction for the development of future computer-delivered instructional systems, this article contrasts intelligent computer-assisted instruction (ICAI) and traditional computer-based instruction (CBI) in terms of the basic philosophies underlying their…

Examines knowledge, its origin, the factors affecting its growth, individual and group differences, and the implications of these ideas for the teaching of science. Describes a model of learning as a conceptual change which might reconcile competing instructional frameworks so that "western science" could be taught effectively in…

The relationship of cognitive development to learning science is considered. Views of thinking from both a psychological and a scientific standpoint are compared in order to shed light on current science teaching practice. Metacognition and problem solving are discussed. (Author/MT)

Investigates, using eight scenarios, children making inferences about memory from incomplete knowledge and children varying in what they judge as relevant information in their schema. Showed that older children are less likely than younger ones to invoke an inferential schema when making memory judgements. (Author/BB)

This study investigated whether good novice problem solvers have their knowledge arranged around problem types to a greater extent than poor problem solvers have. Twelve problem types (see appendix) were distinguished according to underlying physics principles and 65 knowledge elements were printed on cards for university students to sort.…

Presents an overview of teacher preparation and concludes that the distinction between "knowledge" and "pedagogy" is a relatively recent development. Discusses different types of teacher knowledge ("content,""pedagogical content," and "strategic") and forms of knowledge…

This study was concerned with assessing knowledge of concept interrelationships. Comparisons were made between performance on the concept comparison task (making a comparative judgment in the form of a rating on each pair of a set of concept labels) and essay test performance. (Author/PN)

The ideas presented in this lecture are based on the observation of processes of construction and consolidation of knowledge by individual students learning in groups within classrooms along a sequence of activities. Whereas the uniformity of the basic elements used to describe the knowledge construction processes may be seen as inclusive, there…

This paper presented various issues about pedagogical and cognitive aspects of problem solving and explored ways to lessen the heavy cognitive load of a problem solving task. It established a problem type schema for students at different levels. It recognizes the role of modern technology as a cognitive tool that promotes learning mathematics with…

Via computational media, humans are entering a fifth stage of cognitive development leading to a virtual culture. This culture is seen as replacing the writing-based theoretic culture. Background information about the first four stages of mental evolution or cognitive development is provided. It is suggested that the evolutionary perspective needs…