Insight problems are difficult because the initially activated knowledge hinders successful solving. The crucial information needed for a solution is often so far removed that gaining access to it through restructuring leads to the subjective experience of "Aha!". Although this assumption is shared by most insight theories, there is…

How should our students think about external forcing in differential equations setting, and how can we help them gain intuition? To address this question, we share a variety of problems and projects that explore the dynamics of the undamped forced spring-mass system. We provide a sequence of discovery-based exercises that foster physical and…

Research in psychology and in mathematics education has documented the ubiquity of "intuition traps" -- tasks that elicit non-normative responses from most people. Researchers in cognitive psychology often view these responses negatively, as a sign of irrational behaviour. Others, notably mathematics educators, view them as necessary…

In response to the authors, I demonstrate how threshold concepts offer a means to both contextualise teaching and learning of quantum physics and help transform students into the culture of physics, and as a way to identify particularly troublesome concepts within quantum physics. By drawing parallels from my own doctoral research in another area…

A 2 × 2 matrix identifying four discrete thought processes was presented. The contributions of the first three processes in developing the knowledge base of public administration were detailed as were their limitations. It was argued that the fourth process--insight and its mental powers--builds upon the strengths and overcomes the limitations…

The focus of this article is a theoretical discussion and analysis of the concept of intuition. The article investigates how intuition, in the psychological sense, is connected with concepts like problem-solving, reflective thinking, automatized thinking activities and understanding 'gestalt' or structure and meaning. Automatisms are based on…

A growing body of research has examined the experiential grounding of scientific thought and the role of experiential intuitive knowledge in science learning. Meanwhile, research in cognitive linguistics has identified many "conceptual metaphors" (CMs), metaphorical mappings between abstract concepts and experiential source domains,…

A meta-analytic review of empirical studies that have investigated incubation effects on problem solving is reported. Although some researchers have reported increased solution rates after an incubation period (i.e., a period of time in which a problem is set aside prior to further attempts to solve), others have failed to find effects. The…

The paper discusses the interaction between intuitive biases of probabilistic thinking and mathematical knowledge. It would appear that students may answer numerical problems correctly but falter on simple descriptive solutions. Students appear to relinquish formal knowledge for simpler heuristics when attempting to describe the outcome of an…

One of the most valuable skills in group decision making is the ability to make trustworthy judgments about group performance. It follows from the "inferential model" of social cognition (Pavitt, 1989; Pavitt & Hight, 1986), that there are three types of judgments relevant to the group context: (1) behavioral (what the group did);…

In the international community of mathematics and science educators the intuitive rules theory developed by the Israeli researchers Tirosh and Stavy receives much attention. According to this theory, students' responses to a variety of mathematical and scientific tasks can be explained in terms of their application of some common intuitive rules.…

Creativity in education often takes the form of concentrated periods of arts-based "light relief" from the rigours of the National Curriculum. In psychology, on the other hand, creativity is often associated with a dramatic moment of "illumination" in solving scientific, mathematical or practical problems. This paper explores a third approach…