The study outlines the early-stage development of a free-response General Relativity Concept Inventory (GRCI), an educational instrument designed to test for conceptual understanding of General Relativity. Data were collected for the study by having 26 participants from General Relativity courses work through the questions on the GRCI. Interviews…

This article presents a networking of two theories, the Extended Theory of Mathematical Connections (ETC) and the Onto-semiotic Approach (OSA). In particular, concordances and complementarities are identified in the respective conceptions of mathematical connections, as a result of applying these theoretical frameworks to a student's response…

The reconciliation of theories of concepts based on prototypes, exemplars, and theory-like structures is a longstanding problem in cognitive science. In response to this problem, researchers have recently tended to adopt either hybrid theories that combine various kinds of representational structure, or eliminative theories that replace concepts…

One important function of categories is to permit rich inductive inferences. Prior work shows that children use category labels to guide their inductive inferences. However, there are competing theories to explain this phenomenon, differing in the roles attributed to conceptual information vs. perceptual similarity. Seven experiments with 4- to…

Presents a short biography of one of the winners of the American Psychological Association's Award for Distinguished Scientific Early Career Contributions to Psychology (2012). Thomas L. Griffiths won the award for bringing mathematical precision to the deepest questions in human learning, reasoning, and concept formation. In his pioneering work,…

The general goal of this paper is to explore the potential of computer environments for the teaching and learning of functions. To address this, different theoretical frameworks and corresponding research traditions are available. In this study, we aim to network different frameworks by following a "double analysis" method to analyse two…

A theory of how concept formation begins is presented that accounts for conceptual activity in the first year of life, shows how increasing conceptual complexity comes about, and predicts the order in which new types of information accrue to the conceptual system. In a compromise between nativist and empiricist views, it offers a single…

Can children genuinely create new knowledge, as opposed to merely carrying out activities that resemble those of mature scientists and innovators? The answer is yes, provided the comparison is not to works of genius but to standards that prevail in ordinary research communities. One important product of knowledge creation is concepts and tools…

Meaning is one of the recent terms which have gained great currency in mathematics education. It is generally used as a correlate of individuals' intentions and considered a central element in contemporary accounts of knowledge formation. One important question that arises in this context is the following: if, in one way or another, knowledge…

The author investigated the importance of processing considerations within implicit memory in a developmental design. Second-graders (n = 87) and college students (n = 81) completed perceptual (word stem completion) and conceptual (category generation) implicit memory tests after studying target items either nonsemantically (read) or semantically…

An examination of the Soviet psychologist, L. S. Vygotsky's theory shows close affinity with western developmental-type cognitive psychologies. (JC)

A theory is presented to explain the perception of partially occluded objects and illusory figures, from both static and kinematic information, in a unified framework. This detailed theory of unit formation accounts for most cases of boundary perception in the absence of local physical specification. (SLD)

General theories and process models of behavior are analyzed relative to vessels creative functioning, creativity is defined, and theoretical concepts for six phases of the creative process are presented. (MC)

Eliminative connectionism as a theory of how humans generalize universal relationships to unfamiliar instances cannot account for the way universals are extended to arbitrary items. The discussion shows that the class of eliminative connectionist models currently in vogue cannot extend universals outside the training space. (SLD)

It is proposed that many phenomena of human hypothesis testing can be understood in terms of a general positive test strategy. With this strategy, there is a tendency to test cases that are expected to have the property of interest rather than those expected to lack that property. (Author/LMO)