Outlines the use of computer programs in modeling and simulation to provide a link between science and mathematics education. (GS)

Several games, which can be useful in the classroom for teaching problem solving strategies, are described. (SD)

An experiment was performed to determine the effects of syntax complexity and vocabulary difficulty of problem statements on the ability of students to solve them. It was concluded that these variables do have an effect on students' performance, especially in cases of students with low general ability or reading problems. (SD)

Rational points in the plane were defined as points having both coordinated rational. Students solved several problems linking rational points with lines, circles, and other geometric figures. (SD)

This article reviews 40 pertinent studies of student groups (conducted between 1922 and 1969) related to the solution of word problems and makes recommendations for continued research in this area. The subdivisions focus on studies of problem analysis, computation, general reading ability, specific reading skills, specificity of the problem…

Examples of possible methods for unobtrusively evaluating student progress through real problem solving outcomes without formal testing are illustrated. These methods include the use of interviews, artifacts, observations, I learned statements, checklists, flow of discussion charts, and self-awareness exercises. (MN)

Emphasis is placed on motivating children in problem solving situations by choosing effective questions and attractive unusual materials, considering the ability and frustration level of each child, and by utilizing the help and advice that is available to a teacher. (MN)

Discussed are three recent psychological experiments that demonstrate (1) how students can be instructed to falsify on two tasks that model scientific reasoning and (2) how the possibility of error in the data affects their attempts to falsify. Games were used in the treatments. (MNS)

Describes a study, involving 120 first grade children, which supports the hypothesis that the rate of attainment of conservation skills is significantly enhanced by experiences made possible by the first grade program of SCIS. Describes the six conservation tasks used for pre-tests and post-tests: number, liquid amount, solid amount, length,…

As calculators and computer use increases in mathematics education, more educators are recognizing a shift in emphasis from computation to problem solving. Ways to generate problems that can be used to develop pupil creativity and insight are suggested, and process-oriented instruction is promoted. (MP)

This guide focuses on the role of problem solving in developing mathematical concepts of young children, selected problem situations or tasks for engaging children in problem solving, and criteria designed to provide a guide to teachers and parents of young children in formulating appropriate problem-solving situations. (MP)

Some important issues related to teaching problem solving in the elementary grades are addressed, with particular emphasis on the intermediate grades. Presents one point of view and some specific questions often raised by teachers who wish to incorporate problem solving into the mathematics program. (MP)

Alternative techniques are suggested to some of the conventional approaches to teaching problem solving. Three general, conventional approaches are noted, and the nature and use of visual thinking is detailed as the fourth alternative. Examples of lessons with fifth graders using the fourth approach are provided to promote this method. (MP)

This paper discusses a technique, challenging students to solve problems published in mathematics periodicals, which has been used successfully with gifted students in a regular high school class. (Author/MK)

Results of mathematics education research in problem solving activities of third-grade children are covered. The assumption that the horizontal number sentence is a useful tool for solving verbal problems is questioned. (MP)