The Dodgson winner seems very intuitive and reasonable: when a Condorcet winner doesn't exist, pick the candidate that is closest, under some measure, to being a Condorcet winner. However, Dodgson's method is computationally intensive. Approximate methods are more tractable. By placing these methods in a geometric framework, we can understand how…

Object A is in circular motion relative to object B if object B is in circular motion relative to object A. A way of visualizing the relative circular motion of two objects is presented with a simple procedure for a classroom demonstration. (Contains 7 figures.)

This volume has explored embodied knowing in formal and informal education, including the university classroom, the workplace, the health professions, and the community. Educators considered the role of intuition, theater, dance, yoga, and outdoor education activities as forms of embodied learning. While the contexts of education were different,…

The evaluation and reevaluation of the fundamental didactic principles suppose the acceptance at the level of an instructive-educative activity of a new educational paradigm. Thus, its understanding implies an assumption at a conceptual-theoretical level of some approaches where the didactic aspects find their usefulness by relating to value…

Moral intelligence is grounded in emotion and reason. Neuroscientific and clinical research illustrate how early life co-regulation with caregivers influences emotion, cognition, and moral character. Triune ethics theory (Narvaez, 2008) integrates neuroscientific, evolutionary, and developmental findings to explain differences in moral…

The concept of tacit knowledge encompasses all of the intricacy of the different experiences that people acquire over time, and which they utilize and bring to bear in carrying out tasks effectively, reacting to unforeseen circumstances, or innovating. The intuitive nature of tacit knowledge, its particular context, and the difficulty of…

The authors of this paper portray the perspective of Professor Leon Cooper, a theoretical physicist, Nobel laureate, active researcher, and physics textbook author, on teaching science and on the nature of science (NOS). The views presented emerged from an interview prepared by the authors and responded to in writing by Professor Cooper. Based on…

Riemer (2009) complains that a large number of sentences, despite appearing to be acceptable to many native speakers of English--including himself--are treated as ungrammatical in recent works that subscribe to the generative approach to (the English) language. In his opinion, this need not be considered "as evidence of an overly narrow…

Language teachers spend much of their time providing corrective feedback on students' writing in hope of helping them improve grammatical accuracy. Turning to research for guidance, however, can leave practitioners with few concrete answers as to the effectiveness of written corrective feedback (CF). Debate in the literature continues, reflecting…

In this essay Samuel Rocha primarily addresses, and challenges, the modern conception of reason and the lowly place of intuition, feeling, and love in what has become traditional philosophy and education. Drawing upon the rich thought of William James and Jean-Luc Marion, Rocha introduces the reader to a certain harmony between their ideas, most…

To explicate certain phenomena, e.g., the possibility of deduction without definition, we hypothesize that an individual is able to understand and appreciate reasoning with a due feeling of its necessity when the concept image of each concept involved in the reasoning has reached a certain level of development; we then speak of "deep intuition".…

While Shulman argues that an important component of pedagogical content knowledge (PCK) is teachers' understanding of the alternative conceptions commonly held by students, relatively little is known about what students believe about many topics in the school curriculum. This paper focuses on a content area typically featured in Geography…

Electricity is regarded as one of the most challenging topics for students of all ages. Several researchers have suggested that naive misconceptions about electricity stem from a deep incommensurability (Slotta and Chi 2006; Chi 2005) or incompatibility (Chi et al. 1994) between naive and expert knowledge structures. In this paper we argue that…

In business, there is little doubt that managers use their intuitions when making decisions. But in spite of the fact that intuition and rationality are two parallel systems of knowing, intuition is often considered the antithesis of rationality and is overlooked, disregarded, or acted on covertly by managers. What is also clear is that intuition…

The perspective of the naive intuitive statistician is outlined and applied to explain overconfidence when people produce intuitive confidence intervals and why this format leads to more overconfidence than other formally equivalent formats. The naive sampling model implies that people accurately describe the sample information they have but are…