The paper covers a diverse range of topics, the areas of interest for this particular paper include (a) knowledge structures and mental models, (b) problem solving processes, (c) metacognition, (d) skill acquisition, (e) individual learning styles, and (f) transfer of learning. The following brief synopsis of the paper serves to illustrate the…

Explaining how the cognitive system can create new structures has been a major challenge for cognitive science. Self-organization from the theory of nonlinear dynamics offers an account of this remarkable phenomenon. Two studies provide an initial test of the hypothesis that the emergence of new cognitive structure follows the same universal…

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.…

Examines the nature of prior mathematical knowledge that facilitates the construction of useful problem representations in the domain of geometry. Indicates that high achievers build schemas that are qualitatively more sophisticated than low achievers, which in turn helps them construct representations that are conducive to understanding the…

Presents a revised working definition of schema, lists four types of knowledge that individuals have (i.e., identification, elaboration, planning, and execution), and outlines issues in schema theory. The usefulness of schema in problem solving and information problem solving is discussed, and implications for teachers of information literacy are…

This paper briefly reviews research on tasks in knowledge-rich domains including developmental studies, work in artificial intelligence, studies of expert/novice problem solving, and information processing analysis of aptitude test tasks that have provided increased understanding of the nature of expertise. Particularly evident is the finding that…

Collected qualitative data through interviews and triad elicitation with 5-year-olds in London to determine children's current knowledge and understanding of their "making" activity and of Lego construction kit components. Data provided triangulation for another study that found that young children could achieve a great deal with…

Two groups of adolescents and a group of Coast Guard officials were interviewed about hypothetical political problems. Solutions presented were arrayed along a continuum of expertise, according to the complexity of subjects' political schemata and skills used in problem representation. (BC)

Traditional assessment methods are not always suitable for diagnosing learners' knowledge structures at different levels of their expertise. This paper describes an alternative schema-based rapid assessment technique and its application in the area of arithmetic word problem solving. The technique is based on an assessment of the extent to which…

Compares 7 biology faculty members, 9 genetic counselors, and 26 undergraduate students according to both expertise and problem-solving success within the domain of genetics. Findings are consistent with the hypothesis that as expertise is attained, the individual restructures knowledge into a framework based upon the critical dimensions which…

This report discusses the role of affect in cognitive processing. The importance of affect in processing mathematical information is described in the context of solving arithmetic story problems. Some ideas are offered about the way affective responses to mathematical problem solving situations influence the development, maintenance, and retrieval…

A study was conducted in Israel to determine effects of external similarity in problem structure on students' responses. Fifty students from each of the 7th, 8th, 10th, and 12th grade levels were presented with three problems involving successive divisions that were similar in structure. The problems asked separately whether the processes of…

Provides information on (1) a general indication of change in the cognitive structure of students associated with chemical comprehension; (2) the comparison of clusters of concepts; and (3) a graphical representation of the links among concepts. Argues that constrained word associations serve as a useful tool for mapping aspects of cognitive…

Discussion of differences between problem-solving techniques of novices and experts suggests that both the experts' mental model and common novice problems can be derived from analyses of several expert and novice protocols. Three instructional strategies based on these differences are discussed, including the use of a computer simulation to solve…

Presents two teaching ideas for mathematics instruction. The first employs "mind maps" as a method to help students learn, record, and recall mathematical information. Provides examples for solving quadratic equations and complex numbers. The second discusses two ways to find the average speed during a trip employing differing constant…