This qualitative case study in a rural school in Umgungundlovu District in KwaZulu-Natal, South Africa, explored Grade 12 learners' mental constructions of mathematical knowledge during engagement with optimisation problems. Ten Grade 12 learners who do pure Mathemat-ics participated, and data were collected through structured activity sheets and…

Describes a study that investigated probabilistic intuitions held by students (N=98) from grade 7 through college through the use of a questionnaire. Of the misconceptions that were investigated, availability was the only one that was stable across age groups. Contains 20 references. (DDR)

Reviews research indicating that students' cognitive models hold random events to be equiprobable Examined 87 students between the ages of 15 and 17 to determine whether masking a random event using geometric figures would affect the students' view of the event as equiprobable. Results indicated that masking overcame the equiprobable bias of the…

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…

Discussed is a constructivist model of science learning and its possible use in the treatment of science misconceptions. Science learning as conceptual and methodological change is described. (KR)

In this study 34 spontaneous analogies produced by 16 college freshmen while solving qualitative physics problems are analyzed. A number of the analogies were invalid in the sense that they led to an incorrect answer from the physicist's point of view. However, many were valid, and a few were powerful in the sense that they seemed not only to help…

Describes a study that explores the instructional influence of presenting pictures at the molecular level when introducing chemistry concepts and solving chemistry problems. Explores the effect of the pictures on students' conceptions and problem-solving abilities. Contains 59 references. (DDR)

Scientific and everyday knowledge domains are compared so as to reveal the distinctive differences between their goals and the cognitive processes used to attain them. The main goals, working goals, learning difficulties, knowledge structure, concept specification, knowledge organization, role of school science, program-solving instruction, formal…

The major perspectives on problem solving of the twentieth century are reviewed--associationism, Gestalt psychology, and cognitive science. The results of the review on teaching problem solving and the uses of computers to teach problem solving are included. Four major issues related to the teaching of problem solving are discussed: (1)…

An administrator's daily life is full of decisions that often involve an "on the spot" solution. This paper discusses some of the principles involved in drawing inferences in research and decision making, and describes how a knowledge of decision-making errors can help administrators. The paper also describes a case study that…

During the summer of 1986 a conference funded by the National Science Foundation (NSF) was organized to assess the current state of cognitive research on the psychology of physics problem solving, and to examine the needs of physics instructors and instructional designers that must be addressed by a psychological theory of physics problem solving.…

It is often both possible and valuable for a teacher to be a researcher in his or her own classroom. This paper describes the nature of cognitive research and focuses on two areas of research that may be of special interest to classroom physics teachers. The first area refers to misconceptions that students bring with them to their physics…

Reviews a monograph which addresses children's higher-order thinking skills. Suggests the following for teaching problem solving: identify and develop content-independent and content-dependent problem-solving skills, connect developed skills through workshop-style activities to subject discipline, and help students identify and reconstruct their…

This uniquely comprehensive and current survey of the research in science education has been compiled by the most prominent experts in the field. More than a summary of findings, the content of this comprehensive single volume provides an assessment of the significance of research; evaluates new developments; and examines current conflicts,…

To investigate the origins and nature of intuitive obstacles affecting the learning of elementary probability theory, 618 Italian elementary and middle school students were interviewed about their methods of solution for several problems dealing with probability. The discussion focuses on four varieties of obstacles to learning prevalent within…