In this paper, some aspects of French mathematical education theory concerning "problem situations" are taken into account. In this theoretical framework, the choice of problem situations is fundamental in order to allow pupils to make hypotheses, to mobilize their knowledge, to argue, and finally, to construct new knowledge. Certain…

This article demonstrates how the system archetype "drifting goals" can be used in the classroom to explore ethical dilemmas. System archetypes provide a framework that shifts the focus from seeing ethical dilemmas as stemming solely from the acts of individuals to exploring the systemic structures that are responsible for generic patterns of…

Problem-based learning has great potential for management education. Placing students in a problem-centered environment may help bridge the gap between theory and practice. One important but underdeveloped issue for problem-based learning is the context design of the problem-solving situation. This article's purpose is to develop a framework for…

When Creative Problem Solving (CPS) was introduced into social studies programs, the students' participation in the classrooms began to change. They began to assume leadership roles and take on a sense of responsibility; they asked questions and worked cooperatively to decide on social action. In this article, the authors argue that CPS has the…

In preparing to teach speed to a Y10 intermediate class in a multicultural secondary modern, the author was aware of the difficulty in getting students not only to follow a complex logical argument, but also to be able to reproduce it in a variety of different problem situations. Normally one would set out the working out of the problem as a…

A great deal of similarity exists between engineering and technology education. Many schools and state education administrators are working to bring engineering principles and problem-solving approaches into the technology education classroom. More and more, technology education is viewed as a breeding ground for tomorrow's new crop of engineers.…

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].…

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…

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…

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…

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…

Usiskin takes another look at fractions, years after writing the article "The Future of Fractions" for "Arithmetic Teacher".