Although the phase plane can be plotted and analyzed using an appropriate software package, the author found it worthwhile to engage the students with the theorem and the two proofs. The theorem is a powerful tool that provides insight into the rotational behavior of the phase plane diagram in a simple way: just check the signs of c and [alpha].…

When undertaking design and technology activities, children are provided with opportunities to create solutions to problems in new and innovative ways. The mental processes involved in the generation of new ideas may be enhanced when children's attention is not focussed and is allowed to wander in a relaxed and uncompetitive environment. Research…

Conversational styles can sometimes cause conflicts on problem-solving writing teams. In self-defense, students often resort to blaming and shaming around conversational styles, which can just worsen unproductive group behaviors, limiting idea exchanges and deflecting attention from substantive issues and onto what is often labeled "personality…

As I have spent almost 85 years in the past century, I can write with considerable authority on looking back. As I have dared to write on looking forward several times, I will try to project myself into the future. Some of my dreams of the future of creativity research and practice have already happened. Others have been partly realized, and…

The author advocates for writing as an essential communication skill for learning mathematics. Mathematical diary writing is cited as a good way for students to privately represent their thinking through pictures, language, or symbols, and also as a channel for children to communicate with themselves and with their teachers. Cited research…

Objective: To study the relationships among perceived problem solving, stress, and physical health. Methods: The Perceived Stress Questionnaire (PSQ), Personal Problem solving Inventory (PSI), and a stress-related physical health symptoms checklist were used to measure perceived stress, problem solving, and health among undergraduate college…

Given the unrelenting pressures of school management, how can principals and superintendents devote the time or resources to do much of anything that deviates from addressing the basic needs of schools? What are the levers that school leaders can use to infuse creativity and innovation into the cultural fabric of their organizations? In this…

Soft constraints hypothesis (SCH) is a rational analysis approach that holds that the mixture of perceptual-motor and cognitive resources allocated for interactive behavior is adjusted based on temporal cost-benefit tradeoffs. Alternative approaches maintain that cognitive resources are in some sense protected or conserved in that greater amounts…

The purpose of this article is to review recent research on self-regulated learning and discuss the implications of this research for science education. We draw on examples of self-regulated learning from the science education literature to summarise and illustrate effective instructional methods and the development of metacognitive understanding…

Our approach to emotion in school mathematics draws on social semiotics, pedagogic discourse theory and psychoanalysis. Emotions are considered as socially organised and shaped by power relations; we portray emotion as a charge (of energy) attached to ideas or signifiers. We analyse transcripts from a small group solving problems in mathematics…

The purpose of this study was to determine effectiveness of a problem-solving curriculum for transition-age students with mental retardation. The interactive training program Solving Your Problems (Browning, n.d.) was used to teach a five-step process for solving problems. Results indicate participants in the training group were able to use the…

The aim of this paper is to demonstrate that in spite of some superficial similarities the current mathematics reform in the US based on constructivist principles differs substantially from mathematical education based on Vygotskian cultural-historical theory (V.V. Davydov's mathematics program), and to illustrate the manner in which Davydov's…

An Introduction to Research course was modified to better teach the process of scientific inquiry to students who were not engaged in research projects. Students completed several tasks involved in research projects, including making presentations in a journal club format, writing mock grant proposals, and working as teams to evaluate grant…

The significant increase of English Language Learners (ELLs) in the United States raises complex questions about how to provide these students with access to high quality education that can improve both their content knowledge of school subjects and their English proficiency, particularly their academic English proficiency. The development of…

This submission contains the Proceedings of the 2008 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at the Universite de Sherbrooke in Sherbrooke, Quebec. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of…