This study aimed to portray insightful problem solvers. Participants solved classic insight problems and rebuses and completed cognitive and creativity tasks. Grouping the participants based on their success in solving insight problems of different modalities revealed that 95% of the spatial problem solvers succeeded in solving verbal ones…

Even after many decades of productive research, problem solving instruction is still considered ineffective. In this study we address some limitations of extant problem solving models related to the phenomenon of insight during problem solving. Currently, there are two main views on the source of insight during problem solving. Proponents of the…

Mathematical modeling is a challenging and creative process. If one considers only interim or final solutions to modeling problems or interviews modelers afterward, often only their "explicit" models are accessible -- those expressed in work products or evinced in verbal and written reflections. The inner world of tacit knowledge and its…

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…

Building upon previously developed and more general dual-process models, this paper provides empirical support for a multidimensional thinking style construct comprised of linear thinking and multiple dimensions of nonlinear thinking. A self-report assessment instrument (Linear/Nonlinear Thinking Style Profile; LNTSP) is presented and…

The paper presents findings of a small scale study of a few items related to problem solving with squares and roots, for different teacher groups (pre-service and in-service mathematics teachers: elementary and junior high school). The research participants were asked to explain what would be the units digit of a natural number to be squared in…

This study investigated the effects of working in dyads and their associated gender composition on performance (solution rate and time) and process variables (number of impasses, number of passed solutions, and number of problem solving suggestions and interactions) in a set of classic insight problem solving tasks. Two types of insight problems…

It is the authors' contention that there is no such thing as "thinking outside the box." However, the term has become an iconic phrase for a generation. The discussion presents the authors' thoughts on why there is no box in which to think outside. If there is a box, then accidental learning would never exist for students.

Two studies were conducted to show connections between giftedness and intuition. The first study was exploratory. A sample of 194 gifted adolescent students (N=194) included fifty-five students identified as gifted by their teachers and fifty-six percent who were female. Using the Polish version of the Myers Briggs Type Indicator, the students…

Despite significant progress over the past six decades, a number of obstacles still exist as far as the understanding and application of inventive ideation techniques is concerned. This paper describes the development of a model aimed at simplifying the selection and application of these techniques. Analysis of a diverse range of creative thinking…

The article describes four step-by-step methods to sharpen intuitive capacities for problem-solving and innovation. Visionary and transpersonal knowledge processes are tapped to gain access to relatively deep levels of intuition. The methods are considered useful for overcoming internal blockages or resistance, developing organizational mission…

Managers can improve their decision making skills through training in organizational communication which emphasizes the intuitive processes. The article describes the role of intuitive processes in executive decision making and outlines the four levels of a taxonomy for developing intuition as it relates to creative thinking and problem solving.…

The discovery of penicillin is cited in a discussion of the role of serendipity as it relates to scientific discovery. The importance of sagacity as a personality trait is noted. Successful researchers have questioning minds, are willing to view data from several perspectives, and recognize and appreciate the unexpected. (JW)

Innovation and enterprise depend for their success on the development of new ideas. But from where do new ideas come? How do they arise? Finding solutions to such questions is at the heart of creativity research and the solving of novel problems. Reflection, not only in cognitive processes but also in the non-cognitive ones used in solving novel…

This article outlines goals and techniques that can be used to seek and employ intuitive skills for improved decision making. The article describes the Brain Skill Management program, which helps organizations identify intuitive talent resources and needs, integrate this talent with traditional management approaches, and develop intuitive talent…