Complementing the aims of problem-based inquiry, a pedagogical approach called design thinking (DT) has students grapple with issues that require a creative redefinition and reimagining of solutions akin to professional skills of designers, who consider conflicting priorities and complex negotiations to arrive at a solution to an ill-defined…

Examines the students' understanding of mathematical structure and the relationship between problem solving and the identification of the structure in 13 word problems. Multidimensional scaling and hierarchical cluster analysis were used to assess how subjects organized word problems in their minds. (YP)

Investigated was the presence and role of cue words in word problems found in three mathematics textbooks series. The methodology and results of the study are presented. Lists of cue words for grades 3-6 are provided. (CW)

Reviews research which indicates that students performed better on problems when extraneous information was absent than when extraneous information was present. However, recommends that teachers embed word problems with realistic contexts, that is, contexts that contain extraneous bits of information to help students transfer their problem-solving…

Presented is a calculation for the probability of a athletic event. Assumptions, computations, and questions to be considered in the solution of this problem are discussed. (CW)

Investigated the effect of the choice of a model's medium (algebraic expression or computer program) on the performance of students. Student programers did not transfer the qualities of a computer program approach to their algebraic models. Provides items for five tests. (YP)

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)

Reports a study to examine secondary school students' (n=200) responses to two figurally and spatially similar problems from mathematics and science that require different responses before and after instruction. Results indicated that most students gave the same response to both questions. Reasons for this pattern are discussed. (MDH)

Presented are the results of a survey of elementary school principals designed to determine whether problem solving and critical thinking skills are an integral part of the science curriculum in elementary schools. Curriculum orientation, amount of problem solving, and problem-solving/higher-order thinking priorities are discussed. (CW)

Student questioning within the Search, Solve, Create, and Share (SSCS) problem solving instructional model was investigated. The results suggest that the SSCS problem-solving instructional model increases student questioning in the presence of the teacher (n=22) when compared to a teacher-directed laboratory instructional model. The implications…

Seventy fifth-grade students in Australia were observed as each solved a jigsaw puzzle. Boys obtained higher scores on a measure of cognitive style and took less time to complete the jigsaw task; the two measures were significantly correlated. Uses of tangrams are also discussed. (MNS)

Problem solving by example is an intermediate step toward mastering problem-solving heuristics. Discussed are problem-solving processes by using two problem examples. Emphasized are heuristics cataloging in a problem-solving log, and approaches to solutions, not the solutions themselves. (YP)

The purpose of this study was to compare the achievement for the operations of multiplication and division on whole numbers of elementary grade students who were taught functional diagnostic strategies with a randomly selected group who were not taught the informal diagnostic strategies. Included are the methodology, results, and discussion. (KR)

Student problem-solving behaviors are analyzed using a four-dimensional framework with related detrimental factors identified for each dimension. General approaches and specific techniques developed to address negative factors are reviewed. Examined are means of developing the components of problem-solving teaching. (KR)

Reviews research on the purpose and effectiveness of laboratory activities. Discusses epistemology, problem solving, cooperative learning, student involvement, assessment, and teachers as researchers. (YP)