Three studies examined the relationship between specific forms of preschoolers' social and pretend play and divergent/convergent problem solving. Naturalistic and experimental designs were used to provide clearer account of relationship and to challenge assumption of single direction of influence. Results support complex reciprocal causality model…

The last article in a special issue on organizational research utilization, this paper discusses "solution environments" (the real or assumed distribution of good and bad solutions to problems), the models underlying the environments, the generation of these models, and solution environments' relationship to research utilization.…

Shows how administrators and teachers can find problems prior to problem solution by taking three steps: Examining the interconnectivity of things, exploring possible and alternative problems, and asking the right questions. Demonstrates how these steps operate in specific situations, and how finding the problem can be an effective tool in…

This paper presents a brief overview of the changes made during our department level reform (DLR) process (Grant Title: "A Systems Approach for Civil and Environmental Engineering Education: Integrating Systems Thinking, Inquiry-Based Learning and Catamount Community Service-Learning Projects") and some of the effects of these changes on…

Students' mathematical problem-solving experiences are fraught with failed attempts, wrong turns, and partial successes that move in fits and jerks, oscillating between periods of inactivity, stalled progress, rapid advancement, and epiphanies. Students' problem-solving journals, however, do not always reflect this rather organic process. Without…

To meet the goal of "preparing people for an ever-changing world", instructional programs need to apply strategies that focus on the development of critical thinking, problem solving, research, and lifelong learning. Those goals require a sociocultural approach to instruction emphasizing learning from experience and discourse. Sociocultural…

Problem solving theory and practice suggest that thinking is more important to solving problems than knowledge and that it is possible to teach thinking in situations where little or no knowledge of the problem is needed. Such an assumption has led problem solving advocates to champion "content-less heuristics" as the primary element of problem…

This submission contains the Proceedings of the 2011 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at Memorial University of Newfoundland in St. John's, Newfoundland. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning.…

This study focused on a population of female engineering students, probing the influences of their secondary school experience on their choice to pursue an engineering course of study at university. The motivating question is: Do unique opportunities exist in an all-female secondary school mathematics classroom, which impact a young woman's…

This study aimed at investigating the relations between students' strategic behaviour during problem solving, task performance and domain-specific self-concept. A total of 167 first- and second-graders were individually examined in tasks involving cubes assembly and in academic self-concept in mathematics. Students' cognitive, metacognitive, and…

There is need to reform teacher education programs through the creation of active learning environments that support and improve the depth and scope of student learning. Specifically, teachers should provide intellectually powerful, learner-centered, and technology-rich environments for students without undermining sound pedagogical practices.…

The mathematical exercise of the the Prisoner's Dilemma is used to explore the issue of whether present models or paradigms of policy analysis cover the complete range of rational decision making. A review of the competing paradigms of the cybernetic concept, the analytic probability concept, and the cognitive categorization concept reveals…

Several models for problem solving are discussed, and the idea of a heuristic frame is developed. This concept provides a description of the evolution of problem-solving skills in terms of the growth of the number of algorithms available and increased sophistication in their use. The heuristic frame model is applied to two sets of physical…

Proposes a new conceptual framework, embedded in a dynamic model, that accounts for children's failure to reason transitively. Examines five different models of transitive reasoning. Develops a model of how children initially represent and then use the ordered information available in the transitive inference model and how these processes change…

Progress monitoring tools have been shown to be essential elements in current approaches to intervention problem-solving models. Such tools have been valuable not only in marking individual children's level of performance relative to peers but also in measuring change in skill level in a way that can be attributed to intervention and development.…