Many teachers and administrators have recognized that problem solving and reasoning represent two of the primary goals in the education of children. In order for teachers to achieve these goals, they must have appropriate materials available to them. This book includes materials to help teach and assess problem solving and reasoning. The first six…

This book addresses different types of thinking, including critical, creative, and analytical, and presents a variety of problem-solving strategies, along with specific ways they can be taught to students. The main emphases of the book are thinking and mathematics, problem solving, and the application of computational skills. The problem-solving…

Developed a heuristic strategy (SOLVED) to explain the processes involved in understanding and solving mathematical word problems (problem translation, problem interpretation, solution planning, solution execution, and solution monitoring) among upper elementary students. Results indicated that SOLVED was more effective in aiding both short-term…

The research question addressed in this study was: "How do the problem-solving heuristic processes used by preservice elementary teachers who are more effective problem solvers differ from those used by less effective problem solvers?" Three more- and three less-effective problem solvers performed a card sorting task designed to determine if…

In a study of the use of baserates and the representativeness heuristic, children and college students made judgments about scenarios that varied by domain and information provided. The use of baserates and heuristic, and the consistency between subjects' choices and rationales, increased with age. Use of individuating information developed early.…

Investigated strategies that 7- to 12-year-old children (n=96) spontaneously applied in solving novel combinatorial problems. With experience in solving two-dimensional problems, children were able to refine their strategies and adapt them to three dimensions. Results on some problems indicated significant effects of age. (Contains 32 references.)…

A study was conducted to examine computer programming as a problem solving activity. Thirteen fifth grade children were selected by their teacher from an above average class to use Apple IIe microcomputers. The investigator conducted sessions of 40-50 minutes with the children in groups of two or three. Four problems, incorporating the programming…

This study assessed the ability of third, fifth, and seventh graders to learn a problem-solving heuristic scheme and apply it to grade-appropriate tasks. A framework was utilized that focused on metacognitive aspects of task performance such as planfulness, strategy selection, monitoring, and evaluation. It was expected that use of the scheme…

The differences between learning disabled (LD) and non-LD children's problem-solving protocols were analyzed during a picture arrangement task. Although the groups of 29 LD and 27 non-LD children were comparable in global mental processing and task performance, LD children had difficulty with representing problems and deleting irrelevant…

Examined children's use of the representativeness heuristic with two types of decision problems adapted from research with adults--standard representativeness problems and conjunction fallacy problems. Findings on both problems indicate the use of decision heuristics in the early grade-school years, and suggests these should be the years for…

Compares the practice of using drawings in story problems in Japan and the United States and includes recommendations for teachers in the United States. (Contains 14 references.) (MKR)

Examines the importance of learning environments as sites for change in science education, describing work with elementary teachers in which researchers are designing learning environments featuring guided inquiry. After explaining how to plan and enact guided inquiry instruction in science, the paper reflects on experiences implementing it in…

Described is a study in which elementary education students were asked to solve word problems by looking at the mathematical structure or the surface structure of the problems. Included are the methodology, data analysis, results, and discussion. The word problems used in the study are appended. (KR)

The paper describes the details and use with primary school teachers of a problem-solving activity known as the King Alfred's College Maths Game. The game demonstrates to teachers that problem solving needs to be approached through structured learning experiences that provide material for reflection and questioning. (Author/MDH)

Discusses prerequisites that help students develop multiple strategies for solving problems as recommended in the National Council of Teachers of Mathematics'"Curriculum and Evaluation Standards." Presents two examples of activities involving addition, subtraction, and permutations that promote multiple strategies. Suggests ways to…