Algorithmic and investigative approaches to mathematics are compared and discussed. Their mutually contradictory spirit is explored. Examples of the application of each method to a mathematics problem are presented. (CW)

Examined is the relationship between junior high school students' directional reasoning about rates and numerical reasoning on proportion-related word problems. The relationship between the ability to solve context-free fraction exercises and the ability to solve mathematically similar word problems is discussed. (KR)

Described are the general problem-solving strategies and their nature and functions. The importance of integrating different types of general problem-solving strategies with content-specific teaching in mathematics classes is discussed. (KR)

Discussed is the teaching method called the learning cycle and how it can be incorporated into science activities. Included are examples of how teachers and students can use the learning cycle to produce instructional materials. (KR)

Described is a series of computer tutorials developed to teach students a logical method of problem solving for chemistry. The structure, pedagogy, and problem-solving strategies of the computer software program are described. (CW)

Outlines fundamental capabilities of rule-based expert systems and examines their potential for improving computer-based tutoring. Topics discussed include subject matter knowledge; instructional strategies; rule-based representation of knowledge; decision making; problem solving; authoring languages; cognitive processes; possibilities for using…

Describes teaching strategies that help students improve problem solving skills. Lists three factors good problem solvers were found to possess. Gives step by step instructions for solving problems. (MVL)

Examines the articulation of theoretical issues in learning that is taking place through studies of instruction that are grounded in descriptions of competence. Discusses programs for the acquisition of proceduralized knowledge, the development of self-regulatory strategies, and the structuring of knowledge for problem solving. (JS)

Discusses self-regulation, learning to learn, and adaptive problem solving, and describes study of third, fifth, and eighth graders. The study investigated whether providing a model of self-regulating skills via teaching a computer to solve problems would increase the number tasks completed, and decrease the error and trial rate. (11 references)…

Research of expert-novice differences is reviewed seeking to show experts possess a large body of domain specific knowledge. It was postulated that experts possess schemas enabling them to classify problems, call up the appropriate automated rules, then apply these to obtain the solution. (DC)

Learning-disabled ninth-graders (n=58) completed a modified Piagetian isolation-of-variables task, and were compared to normally achieving ninth-graders and fourth-graders. Through cluster analysis, four different patterns of task approach were identified, representing normal performance, general conceptual disorder, specific developmental delay,…

Five articles explore various theoretical aspects of problems and problem solving skills. Highlights include strategies to learn problem solving skills; knowledge structures; metacognition; behavioral processes and cognitive psychology; erotetic logic; creativity as an aspect of computer problem solving; and programing as a problem-solving…

Whether male and female high school students of high mathematics ability use different solution strategies on problems whose responses had previously shown gender differences was studied with 25 males and 22 females. Females were more likely to use conventional problem-solving strategies, and the use of conventional strategies was associated with…

Describes an instructional framework for teaching advanced cognitive skills in postsecondary education, highlighting specific teaching strategies that community and technical college educators may use to encourage critical thinking among students. Includes a description of content, teaching methodologies, and sequence of student development.…

Observed behaviors of 37 female and 23 male Australian preschoolers. Found that only 20% engaged in thematic pretend play (linked to perspective taking, language development, impulse control, divergent problem solving) whereas 24% used cooperative social play (linked to divergent problem solving). Results suggest need for assistance in the…