Cooperative learning needs three key requirements to be successful: the development of new curriculum materials; ability to treat status problems arising in small groups; and availability of collegiality and strong organizational support. Stanford University's Program for Complex Instruction involves each group in different problem-solving tasks…

Compares a teaching program designed to enhance schema acquisition with one of worked examples, traditionally used to teach geometry. Shows that both groups of subjects had improvements in the number of problems solved, with those exposed to non-goal-specific procedures demonstrating greater rates of improvement and greater efficacy in…

Explores whether students with several years of high school science are able to represent an osmosis problem correctly. The study problem features a typical osmotic system with students expected to make a graph to show how the solution level in the stem of the funnel changes over time. (DDR)

Physics problems presented by teachers or in textbooks are usually quantitative and offer only one solution. Suggests that getting students to solve qualitative problems and confronting them with multiple solutions can help them develop conceptual understanding and robust problem-solving strategies. (Author/ASK)

Students should be encouraged to focus on a big mathematical idea and to look for connections between problems and solution strategies. This unified view suggests that the students are developing computational fluency with fractions.

Four experiments investigated transformation problems with insight characteristics. In Experiment 1, performance on a version of the 6-coin problem that had a concrete and visualizable solution followed a hill-climbing heuristic. Experiment 2 demonstrated that the difficulty of a version of the problem that potentially required insight for…

We focus on a major difficulty in solving combinatorial problems, namely, on the verification of a solution. Our study aimed at identifying undergraduate students' tendencies to verify their solutions, and the verification strategies that they employ when solving these problems. In addition, an attempt was made to evaluate the level of efficiency…

Answers to mathematical problems come in all forms and most come with a variety of questions. Students often forget to ask questions once they have found an answer. This paper suggests that students would always benefit by questioning answers.

A multicultural curriculum affirms and includes all people regardless of age, race, ethnicity, gender, socioeconomic status, language, religion, physical ability, or mental ability. The goal is to reduce prejudice and bias by discussing these issues. The Bloom/Banks curriculum framework was developed as a model for creating multicultural gifted…

In this paper we focus on some of the findings of the science education research community in the area of representations and problem solving. Problem solving depends on the construction and manipulation of mental models (internal representations) in the mind. A large knowledge base (declarative, procedural, strategic, situational, and schematic…

The theme of the 38th meeting of the International Group for the Psychology of Mathematics Education (PME 38) and the 36th meeting of the North American Chapter of the Psychology of Mathematics Education (PME-NA 36) was "Mathematics Education at the Edge." Academically, the theme provides opportunities to highlight and examine…

An experiment compared solving of operational and diagnostic problems after different instruction about a fictitious device. Solution of both kinds of problems was facilitated by instruction (1) that focused on functional relations among components of the device or (2) that focused on states of the individual components. For operational problems,…

This discussion of some of the research literature that is relevant to the issue of teaching thinking provides descriptions of hypothetical, ideal thinkers, and problem solvers; considers the problem of teaching thinking and problem solving; and explores the issue of evaluating programs so that they can be revised and improved. Following Bransford…

A description is given of a Summer Critical Skills Institute program developed under the aegis of a number of private corporations in conjunction with several educational agencies. This program provides opportunities for teachers to learn how to foster students' problem solving abilities. The teachers, working directly with young learners and…

Methods are suggested to stimulate learning disabled children to develop the metacognitive skills of: (1) reflecting on what they already know, (2) devising a plan for attacking the problem, (3) monitoring progress, and (4) evaluating the outcome of the plan. (DB)