Interpretation is the process whereby a hearer reasons to an interpretation of a speaker's discourse. The hearer normally adopts a credulous attitude to the discourse, at least for the purposes of interpreting it. That is to say the hearer tries to accommodate the truth of all the speaker's utterances in deriving an intended model. We present a…

The Body Logic Program for Adolescents was developed as a two-stage intervention to prevent the development of eating disorder symptoms. Preliminary results indicate that this program shows promise as an effective prevention effort. The current article provides a detailed description of the protocol for implementing Body Logic Part I, a…

We begin with the pendulum and the curious authority of the expression for the period of its swing,T = 2[pi][image omitted]l/g. That this is not an empirical result--[pi]$ is an irrational number--leads to an examination of the nature of physics. In the course of things, we come to Plato's critique of poetry in "The Republic" and the fundamental…

Autism is a lifelong developmental disorder that is associated with severe difficulties with ''theory-of-mind''--the understanding that others' behaviors are motivated by internal mental states. Here, we raise the possibility that research examining the neural bases of theory-of-mind reasoning has the potential to inform researchers about the…

Clearly defined and measurable goals are commonly considered prerequisites for effective evaluation. Goal setting, however, presents a paradox to evaluators because it takes place at the interface of rationality and values. The objective of this article is to demonstrate a method for unlocking this paradox by making goal setting a process of…

The question of how a mathematics student at university-level makes sense of a new mathematical sign, presented to her or him in the form of a definition, is a fundamental problem in mathematics education. Using an analogy with Vygotsky's theory (1986, 1994) of how a child learns a new word, I argue that a learner uses a new mathematical sign both…

This paper applies APOS Theory to suggest a new explanation of how people might think about the concept of infinity. We propose cognitive explanations, and in some cases resolutions, of various dichotomies, paradoxes, and mathematical problems involving the concept of infinity. These explanations are expressed in terms of the mental mechanisms of…

This is Part 2 of a two-part study of how APOS theory may be used to provide cognitive explanations of how students and mathematicians might think about the concept of infinity. We discuss infinite processes, describe how the mental mechanisms of interiorization and encapsulation can be used to conceive of an infinite process as a completed…

This article is a response to E. Heit and B. K. Hayes's comment on the target article "Induction and Categorization in Young Children: A Similarity-Based Model" (V. M. Sloutsky & A. V. Fisher, 2004a). The response discusses points of agreement and disagreement with Heit and Hayes; phenomena predicted by similarity, induction, naming, and…

The interaction of a conductor with a time-dependent magnetic field is an important topic of electromagnetic theory. A computerized classroom demonstration shows how the eddy currents induced in the rotor of an induction motor cause its rotation or braking. Both phenomena are directly related to Lenz's law.

While studies of cerebellar involvement in learning and memory have described plasticity within the cerebellum, its role in acquisition of plasticity elsewhere in the CNS is largely unexplored. This study set out to determine whether the cerebellum is needed for acquisition of the spinal cord plasticity that underlies operantly conditioned…

Magic squares have been of interest as a source of recreation for over 4,500 years. A magic square consists of a square array of n[squared] positive and distinct integers arranged so that the sum of any column, row, or main diagonal is the same. In particular, an array of consecutive integers from 1 to n[squared] forming an nxn magic square is…

Often, composition teachers present public debate as if it occurs on a rhetorically level playing field, with victory going to the person who argues most logically. Real-world contestants are seldom so equal in power. We can enrich our pedagogy by studying such encounters; example: the 1263 disputation at Barcelona between Rabbi Nachmanides and…

Many of the basic concepts involved in the process of scientific inquiry can be represented by analogy to a simple game called Battleships. The same processes used in this child's game demonstrate what role hypothesis generation and testing play in the search for truth in nature. The analogy can also be extended to demonstrate how scientists…

This article discusses the symbiotic relationship between emotion and rationality in leadership in primary schools. It uses the literature of both emotion and leadership to ask whether school leadership has learnt some of the lessons from the recent interest in emotion and leadership. Drawing on recent research into the lives of primary school…