This paper outlines a research program that seeks to develop strategies for facilitating creative development through paradigmatic transformation. The Mobius Ring is used as a metaphor for intuition and intellect cyclically feeding each other, and a continuum of modes of thought evolving from "Becoming" to "Being" is outlined. These strategies can…

The Career Decision Scale, Assessment of Career Decision Making, and Cognitive Differentiation Grid were administered to 598 community college students. Results indicated a relationship between decision-making styles and vocational construct structure. Poorly developed vocational schemas predispose individuals toward dependent and intuitive…

Describes a classroom activity featuring a simple stay-switch probability game. Contends that the exercise helps students see the importance of empirically validating beliefs. Includes full instructions for conducting and discussing the exercise. (CFR)

Argues for a mathematics education that interprets the word "theorem" in a sense that is wide enough to include the visual aspects of mathematical intuition and reasoning. Defines the term "visual theorems" and illustrates the concept using the Marigold of Theodorus. (Author/MDH)

Students' belief that a larger number has more factors is outlined as a particular example of 'the more of A, the more of B' intuitive rule. Discusses the robustness of this belief by demonstrating students' tendency to perceive conflicting evidence as an exception to the rule. Considers some pedagogical approaches. (Contains 12 references.)…

Reports on an instructional method designed to address the cognitive gaps in children's mathematical development where operational conceptions give rise to structural conceptions. Describes two experiments in teaching integers and conceptualizes modeling as the transformation of outside-school knowledge into school mathematics. (Contains 28…

Analysis of students' work on tasks relating to reflections, translations and rotations is discussed. Findings from research with regard to students' understanding of a subject would help teachers prepare for the class.

Young children reliably distinguish reality from fantasy; they know that their friends are real and that Batman is not. But it is an open question whether they appreciate, as adults do, that there are multiple fantasy worlds. We test this by asking children and adults about fictional characters' beliefs about other characters who exist either…

We hypothesize that cultural narratives such as myths and folktales are more likely to achieve cultural stability if they correspond to a minimally counterintuitive (MCI) cognitive template that includes mostly intuitive concepts combined with a minority of counterintuitive ones. Two studies tested this hypothesis, examining whether this template…

This article explores the intuitions of secondary education majors regarding probability. This is accomplished by administering a two-question instrument to 113 participants. Their responses to these questions, and more importantly the explanations they provide for these answers, are analysed. The conclusions drawn may be informative to teachers…

The paper discusses an elementary spring model representing the motion of a magnet suspended from the ceiling at one end of a vertical spring which is held directly above a second magnet fixed on the floor. There are two cases depending upon the north-south pole orientation of the two magnets. The attraction or repelling force induced by the…

This article takes a critical look at administrative decision making in schools and the extent to which complex decisions conform to normative models and common expectations of rationality. An alternative framework for administrative decision making is presented that is informed, but not driven, by theories of rationality. The framework assumes…

Research on communication with infants, including newborns, has demonstrated that imitations in great variety play many different parts, and with emotions of interest and pleasure. Matching another's actions may seek attention and provoke reply, accept or reject advances, express admiration or mockery. It seems best to regard imitating as one way…

This paper indicates that prospective teachers' familiarity with theoretical models of students' ways of thinking may contribute to their mathematical subject matter knowledge. This study introduces the intuitive rules theory to address the intuitive, "same sides-same angles" solutions that prospective teachers of secondary school mathematics come…

The writing approach framework provides a comprehensive perspective on college-level academic writing based on the relationship of writers' beliefs and strategies to the quality of written outcomes. However, despite increased demands for more and better writing at the graduate level, little is known about graduate-level writing processes or about…