In this theoretical essay, the author addresses the existence of divergent evidence, portraying both competence and lack of competence in a fundamental realm of higher order thinking--causal and scientific reasoning--and explores the educational implications. Evidence indicates that these higher order reasoning skills are not ones that can be…

Virtual spaces allow abstract representations of reality that not only encourage student self-directed learning but also reinforce core content of the learning objective through visual metaphors not reproducible in the physical world. One of the advantages of such a space is the ability to escape the restrictions of the physical classroom, yet…

Asperger's disorder is one of autistic spectrum disorders; sharing clinical features with autism, but without developmental delay in language acquisition. There have been some studies of intellectual functioning in autism so far, but very few in Asperger's disorder. In the present study, we investigated abstract reasoning ability, whose form of…

Developed from Noddings's (2002) care theory, von Glasersfeld's (1995) constructivism, and Ryan and Frederick's (1997) notion of subjective vitality, a mathematical caring relation (MCR) is a quality of interaction between a student and a mathematics teacher that conjoins affective and cognitive realms in the process of aiming for mathematical…

This article describes Realistic Mathematics Education (RME), a design theory for mathematics education proposed by Hans Freudenthal and developed over 40 years of developmental research at the Freudenthal Institute for Science and Mathematics Education in the Netherlands. Activities from a unit to develop student understanding of logarithms are…

This study examined whether college students are better able to apply knowledge of simple mathematical concepts when they are taught the concepts using abstract symbols or concrete examples. The research described in this article is consistent with What Works Clearinghouse (WWC) evidence standards. Strengths: The study is a well implemented…

We explored the effects of task-related factors on reasoning processes in geometry focusing on a comparison-of-perimeters task in which the irrelevant feature area interferes with the reasoning process. We studied the effects of congruity, salience, and complexity on participants' accuracy of responses and reaction times. The study shows that…

While many researchers in science education have argued that students' epistemological understanding of models and of modelling processes would influence their cognitive processing on a modelling task, there has been little direct evidence for such an effect. Therefore, this study aimed to investigate the relation between students' epistemological…

Model-Driven Engineering (MDE) is changing the way we build, operate, and maintain our software-intensive systems. Several projects using MDE practices are reporting significant improvements in quality and performance but, to be able to handle these projects, software engineers need a set of technical and interpersonal skills that are currently…

As the ongoing national indicator of what American students know and can do, the National Assessment of Educational Progress (NAEP) in Reading regularly collects achievement information on representative samples of students in grades 4, 8, and 12. Through The Nation's Report Card, the NAEP Reading Assessment reports how well students perform in…

The Social Intuitionist Model (SIM) of moral reasoning proposed by Jon Haidt and colleagues (Haidt, 2001; Haidt & Bjorklund, 2006) is criticized on the grounds that (1) its conclusions concerning moral reasoning are unwarranted by research reporting 'dumbfounded' responses by subjects whose initial judgments are challenged and judgments…

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…

Do people with different kinds of bodies think differently? According to the "body-specificity hypothesis," people who interact with their physical environments in systematically different ways should form correspondingly different mental representations. In a test of this hypothesis, 5 experiments investigated links between handedness and the…

The debate defining thinking, critical thinking, and higher-level thinking is expansive. Geersteen (2003) provides an excellent review of this literature and suggests that one way to distinguish between lower- and higher-level thinking is based on the level of abstraction. In this article, the authors focus on analysis and synthesis or…

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…