This article demonstrates the potential of using hierarchical Bayesian methods to relate models and data in the cognitive sciences. This is done using a worked example that considers an existing model of category representation, the Varying Abstraction Model (VAM), which attempts to infer the representations people use from their behavior in…

The relationship between general knowledge (GK) and cognitive ability (IQ and abstract reasoning), learning approaches, and personality ("big five" traits and typical intellectual engagement) was investigated in a sample of 101 British undergraduates. As predicted, GK was positively correlated with cognitive ability (more so with IQ than…

This article explores the complementary strengths and weaknesses of grounded and abstract representations in the domain of early algebra. Abstract representations, such as algebraic symbols, are concise and easy to manipulate but are distanced from any physical referents. Grounded representations, such as verbal descriptions of situations, are…

The aim of the present study is to provide further evidence that the errors that arise from improper application of the linear model are not random and not easy to overcome. Using three different types of test, we attempt to show that the errors referred to in the literature as "pseudo-analogous" are the result of an epistemological…

Alignment between content standards and standardized tests is a significant issue to society, science pedagogy, and test validation. To better understand the issues related to alignment, this study compares the alignment in physics among three education systems: Jiangsu (China), New York State (United States), and Singapore. The same coding…

Categorization in well-known natural concepts is studied using a special version of the Varying Abstraction Framework (Vanpaemel, W., & Storms, G. (2006). A varying abstraction framework for categorization. Manuscript submitted for publication; Vanpaemel, W., Storms, G., & Ons, B. (2005). A varying abstraction model for categorization. In B. Bara,…

This essay discusses Alain LeRoy Locke (1885-1954), Professor of Philosophy (Howard University) and examines his experiences, reasoning, and rhetoric as they challenge the accepted notions of race, education, and democracy. As an African American practicing philosophy in a racist nation, Locke also examined value communities and value differences…

"The question for me is how can the human mind occur in the physical universe. We now know that the world is governed by physics. We now understand the way biology nestles comfortably within that. The issue is how will the mind do that as well."--Allen Newell, December 4, 1991, Carnegie Mellon University. The argument John Anderson gives…

Two-year colleges have an important role in the educational and economic advancement of the United States, particularly during the current economic crisis. They offer access to higher education for economically and/or educationally impoverished students, as well as for those who have simply returned for further study. Two-year colleges provide…

General sign theory (GST) deals with how distinct sign systems are grounded, developed with increasing abstractness over time, and differentiated in efficacies in experience and discourse. GST has 3 components: The theory of true narrative representations (TNR theory) shows that TNRs are unique in being relatively well determined with respect to…

There now appears to be widespread agreement that early childhood mathematics education (ECME) should be implemented on a wide scale, particularly for disadvantaged children. Yet little is known about the teaching of early mathematics. The goal of this paper is to demystify the process. We analyze one early childhood teacher's work as she attempts…

An apparent "crisis" of youth at-risk is a key marker in contemporary debates about young people among a range of intellectuals, social commentators and experts in various domains and centres of expertise. Drawing on aspects of the reflexive modernization, governmentality and feminist literatures, this paper explores how risk discourses emerge as…

The current study compared the effects of technological environments with that of the paper-and-pencil environment on reasoning about the concept of derivatives in the context of maximum and minimum problems. The data consisted of clinical interviews conducted with three pre-service secondary mathematics teachers and a newly registered graduate…

Moral sensitivity is the first component of the 4-component moral action process (J. R. Rest, 1986). The author reviews moral sensitivity operationalization and measurement across multiple samples and domains. She reviews 3 definitions of the construct (i.e., "recognition and affective response, recognition, and recognition and ascription of…

This paper considers mathematical abstraction as arising through a natural mechanism of the biological brain in which complicated phenomena are compressed into thinkable concepts. The neurons in the brain continually fire in parallel and the brain copes with the saturation of information by the simple expedient of suppressing irrelevant data and…