Discusses the creed in symmetry and the omnipresence of symmetrical relationships in mathematics and nature, discusses mathematicians' attraction toward looking for symmetrical relationships as an unstated problem-solving heuristic, and shows how symmetry can be used as a didactical tool. (Author/MKR)

Two experiments, one measuring eye fixations of 38 undergraduates and the other assessing memory of 37 undergraduates, provide evidence that unsuccessful problem solvers are more likely to comprehend by direct translation and that successful word problem solvers are more likely to build a problem model. (SLD)

Investigated effects of spatial and literacy content on learning through social interaction. Pairs of kindergarten children in three interaction episodes solved spatial and literacy problems. Gains were made in spatial understanding independent of the type of social interaction used. Spatial understanding appeared to be affected more by how…

Challenges Wilson's 1990 work which, according to the author, bluntly rejected various expert-novice techniques in favor of the classical experimental design. Asserts that, if educators want to study expertise, they should move to understand this expertise in context, for example, in real-life tasks. Argues that research questions not methodology…

Discusses Means-End Critical Analysis of Subject Matter (MECA*SM), a new instructional approach that allows subject matter and critical thinking to be taught simultaneously through the use of Socratic questioning and systematic problem solving. (DMM)

United States has produced a generation of students who engage in problem solving without regard for common sense or the text of the problem. Three factors bear the blame: societal beliefs about mathematics, the typical math curriculum, and deficiencies in teacher preparation. New conceptions about learning should help spawn curriculum,…

Gifted intermediate-level students in Greenville, South Carolina, held a Future Fair in which students completed projects and developed critical and creative thinking skills as they investigated real problems. Projects such as models, inventions, photo essays, and creative writing focused on future schools, art, fashions, space travel, and other…

Looks at the solution to the mathematical-modeling problem asking students to find the smallest percent of the popular vote needed to elect a President. Provides assumptions from which to work the problem. (MDH)

Administered a questionnaire to secondary science teachers in England (n=39) and Spain (n=34) to compare views on problem solving. Questions involved teacher's opinions about the uses and sources of problem-solving activities, as well as the sources of students' errors. Teachers showed a remarkable degree of agreement, with fundamentally a…

Problem-solving approaches to teaching pupils with autism in special schools are analyzed, discussing the structures needed by individual pupils to enable them to function as problem solvers, the value of reflection in enhancing the learning potential of pupils, and ways of increasing pupils' awareness of their own ways of handling learning…

Uses the context of rock climbing to discuss the science concept of friction. Presents the mathematics equations that describe the concept. Examines the physics of different rock climbing situations encountered and equipment used. A series of related problems with answers is provided. (MDH)

Findings from pregnant adolescents, nonpregnant adolescents, pregnant adults, adolescent mothers, and adult mothers found that pregnant adolescents were less socially competent and less proficient in problem solving than nonpregnant peers, that they exhibited more behavioral problems than pregnant adults, and that adolescent mothers displayed more…

Thirty-six children from grades 1, 3 and 6 observed and rewarded a peer who played an experimental game. Children experienced a developmental shift in the criteria they used to reward a peer's performance. References to intention-act matches increased with grade and with children's understanding of controllable and noncontrollable tasks and causal…

Learners must acquire a general strategic orientation in their problem solving, to determine what counts as relevant information in problematic situations. A dynamic systems approach is called for in determining whether general or context-specific instructions are needed to promote transfer of relevant information to novel conditions. (Author/JDD)

Twenty-two college students from each of three different epistemological groups--dualistic, multiplistic, and relativistic--completed both a syllogism and ink blot problem-solving task. Findings indicated that the three epistemological groups reliably differed in how they mentally organized the ink blot stimuli but not the syllogism problems.…