Probes are follow-ups to survey questions used to gain insights on respondents' understanding of and responses to these questions. They are usually administered as open-ended questions, primarily in the context of questionnaire pretesting. Due to the decreased cost of data collection for open-ended questions in web surveys, researchers have argued…

Having a sudden insight is often associated with inherent confidence, enough for Archimedes to run naked through the streets shouting "Eureka!". Recent evidence demonstrates that public displays of enthusiasm, such as the ancient polymath's, are actually supported by a higher likelihood of being correct.

Novel computational representations, such as simulation models of complex systems and video games for scientific discovery (Foldit, EteRNA etc.), are dramatically changing the way discoveries emerge in science and engineering. The cognitive roles played by such computational representations in discovery are not well understood. We present a…

Interdisciplinary research can be defined as the practice of discovering new objects of knowledge beyond disciplinary borders. It often operates through the cross-fertilization and hybridization of concepts, theoretical frameworks, and methodological tools to enable the description, analysis, and understanding of the complexity of objects of study…

Background: Extending Merton's (1936) work on the consequences of purposive social action, the model, theory and taxonomy outlined here incorporates and formalizes both anticipated and unanticipated research findings in a unified theoretical framework. The model of anticipated research findings was developed initially by Carifio (1975, 1977) and…

In this note we develop a framework that makes explicit the inherent dynamic structure of certain mathematical definitions by means of the four facets of context-entity-process-object. These facets and their interrelations are then used to capture and interpret specific aspects of student constructions of the concept of solution to first order…

Meanings of "surprise" are wide and include uplifting and engaging facets like wonder and amazement on the one hand as well as ones that may be of the opposite nature like interruption and disrupt on the other. Pedagogically, educators who use surprise in class activities are focusing on students being "taken aback" by a situation, hopefully…

Discusses research that challenges the view that creativity originates in the right side of the brain; advocates a broad but concise definition of creativity. (MAI)

One of the arguments for active externalism (also known as the extended mind thesis) is that if a process counts as cognitive when it is performed in the head, it should also count as cognitive when it is performed in the world. Consequently, mind extends into the world. I argue for a corollary: We sometimes perform actions in our heads that we…

Defines and characterizes the steps involved in thinking creatively, pointing out numerous contraditions about creative thinking. (RB)

Documents the search for an adequate conceptualization of writing and argues for the inclusion of personal experiences with composition as the basis for any teaching or research activity. (SRT)

Explores the mathematical practices of three young mathematicians in an extended interview setting. Focuses on the interaction of discovery and verification, the role of conjecture in discovery, and the place of intuition and understanding in research. Indicates an interesting mismatch between how they valued their own guesses and how they reacted…

Three models have been proposed to account for the relationship between the principle of commutativity and the development of more economical addition strategies, which disregard addend order. In the first and second models, it has been proposed that either discovery or assumption of commutativity is a necessary condition for the invention of…

True learning takes place from inquiry into all phenomena, not just from those explained by the standard instructional materials. (RA)

A total of 308 undergraduates performed 2 word tasks and a gestalt closure task in a study of intuition. Subjects could respond discriminately to coherence they could not identify and were led by this perception to form a hunch or hypothesis. Clues to coherence evidently activate problem-solving networks. (SLD)