In small groups, business students choose and demonstrate a decision-making technique appropriate for an organizational situation they develop. Performance is evaluated by peers on the basis of situation choice, demonstration of technique, and quality of the solution. (SK)

Shares experiences and growth in a teacher's knowledge about learning while teaching mathematics. (ASK)

Describes the use of the measures of fluency, flexibility, and originality to assess students' responses to open-ended problems in mathematics classrooms. Contains 12 references. (ASK)

Students' needs and research on learning should inform teaching practices. Makes suggestions for improving instruction such as using students as ombudspersons to provide feedback on class concerns, focusing on process skills, and incorporating problem-based learning into the curriculum. Also includes examples of successful programs and summaries…

Presents the general postage-stamp problem on Diophantine equations. Discusses ways to uncover all solutions to the problem. (ASK)

Investigates the problem of finding all triangles that have natural-number sides for which the area is numerically equal to the perimeter. (ASK)

Notes that knowing how to estimate is crucial to becoming a good problem solver. Suggests that young children be exposed to the concept as early as kindergarten in order to learn to apply the skill effectively. Discusses the values of estimation skills and how they can be developed. Outlines five classroom activities that help students develop…

Transcripts from three problem-solving discussions involving eight or fewer social scientists were analyzed by nonlinear regression to determine whether the groups' productivity was chaotic over time. It was shown that the productivity was chaotic, correlated with the number of active discussion threads, and dependent on the discussion…

An evaluation of the Montgomery County (Maryland) Public Schools' summer-school program to help raise low-performing students' mathematics achievement showed that students received little benefit. Disappointing results arose from use of teacher-centered instructional techniques. Students had little opportunity for informal thinking, exploration,…

Evaluated 9-, 14-, and 19-month olds' strategies as they grasped and used spoons presented with the handle alternately oriented to left or right. Found that younger children reached with their preferred hand, disregarding the item's orientation. Older children anticipated the problem, alternated the hand used, and achieved an efficient radial grip…

Examines solutions presented by preservice teachers for solving graphical and numerical problems involving the arithmetic mean. Participants presented two methods: algorithmic computation and balancing deviations about the mean. A significant difference was found between science and mathematics preservice teachers in the use of balancing…

Presents a study that investigates ways to promote the development of reasoning and problem-solving skills in a secondary mathematics classroom and summarizes the key concepts from sociocultural theory. Examines three cases in which students appeared to resist interaction and communication with their peers. Contains 11 references. (ASK)

Describes an investigation of students' problem-solving strategies as seventh-grade students (n=10) attempted to design a solution to a technological problem. Concludes that novice designers use highly iterative rather than linear strategies, develop their ideas using three-dimensional materials rather than two-dimensional sketches, and develop…

Presents responses to a division problem appearing in the September, 1998 "problem solvers" section of this journal. (ASK)

Examines ways in which teachers can develop children's abilities to mathematize their world by articulating mathematical problems in situations, then solving and discussing their solutions. Contains 11 references. (ASK)