Compares Dewey and Vygotsky on three conceptual issues that relate directly to educational processes and goals: the roles of social history, experience/culture, and human inquiry in the educational process. The differences in their approaches are illustrated by examining the educational models of the zone of proximal development and long-term…

What features of mathematical thinking do students exhibit when they use dynamic software in their problem solving approaches? To what extent does the systematic use of technology favour students' development of problem solving competences? What type of reasoning do students develop as a result of using a particular tool? This study documents…

Plausibility has been implicated as playing a critical role in many cognitive phenomena from comprehension to problem solving. Yet, across cognitive science, plausibility is usually treated as an operationalized variable or metric rather than being explained or studied in itself. This article describes a new cognitive model of plausibility, the…

It is proposed that the various classes of a priori knowledge incorporated in heuristic reasoning processes exert a strong influence over architectural design activity. Some design problems require exercise of some provisional set of rules, inference, or plausible strategy which requires heuristic reasoning. A case study illustrates this concept.…

By using ill-structured problems and examining problem- solving processes, this study was conducted to explore the nature of solving complex, multistep problems, focusing on how prior knowledge, problem-solving process utilization, and analogical problem solving are related to success. Twenty-four college students qualified to participate by…

Although it is commonly assumed that increases in mathematical knowledge and problem-solving skill alter one's understanding of mathematical problems, little research exists to support this assumption. The present study investigated the relationship between mathematical background and problem perception in two experiments. Experiment 1 employed…

Experts' perceptions of mathematical problem structures were compared with students' perceptions before and after a course on mathematical problem solving. After the course the students perceived problem relatedness more like the experts, indicating that criteria for problem perception shift as a person's knowledge bases become more richly…

Describes a study which concluded that, to restructure the mathematics curriculum, modification of existing teaching practices is required. Recommends that practices be modified to enable students to construct effective knowledge bases and become active learners. Contains 38 references. (DDR)

Investigates reasoning strategies students use in solving stoichiometric problems and explores the relation between these strategies and alternative conceptions, prior knowledge, and cognitive variables. Results show how stoichiometric relations produce conflicting situations for students leading to conceptual misunderstanding of certain concepts.…

Students' strategies for solving long division problems under a realistic mathematics approach (RME) at Dutch primary schools were categorized in two ways: (a) according to the level of how students created multiples of the divisor (chunking) to be subtracted from the dividend; and (b) according to their use, or nonuse, of schematic notation.…

The curriculum for eleven-year old students in the United Kingdom, currently adopted by most schools, includes solving linear equations with the unknown on one side only before moving onto those with the unknown on both sides in later years. School textbooks struggle with the balance between developing algebraic understanding and training…

Although the distinction between verbal ability and spatial ability is fundamental in all models of human abilities, differences in the relative strengths of verbal and spatial abilities have failed to show consistent interactions with instructional treatments. This study investigated the hypothesis that spatial tests measure different abilities…

This study investigated patterns and effects of cognitive tools usage during engagement with an open-ended hypermedia learning environment. Seven technical institute students engaged in problem-solving tasks concerning anatomy and physiology. They used 16 cognitive tools embedded in a hypermedia system and their tool use patterns and corresponding…

Third grade children (n=24) who were administered the standard, simultaneous version of the Matching Familiar Figures test committed fewer errors when administered a sequential version of the same test than did subjects (n=24) who took the more difficult sequential version first. (PN)

Comparison of performance in 3 practical problem-solving tasks by eighth graders in Singapore (170 boys, 107 girls matched for aptitude, attitude, and prior knowledge) indicated that girls distinctly preferred content familiarity and outperformed boys in several processes/skills when familiar with content. (SK)