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This volume examines the role that culture plays in the acquisition of cognitive, linguistic, and social skills. Taking reflective thinking as a central analytical concept, the contributors investigate the role of personal reflection in a series of mental activities, including the creation of social relationships, the creation of a mental narrative to make sense of events, and metacognition. These three types of cognition are usually conceived of as separate research fields. Reflective Thinking in Educational Settings draws these discrete subfields into dialogue, exploring the connections and interplay among them. This approach yields insight into a range of topics, including language acquisition, cognitive processes, theory of mind, cross-cultural interaction, and social development. The volume also outlines the implications of these findings in terms of further research and possible social policy initiatives.
In this paper we consider a position–velocity Ornstein-Uhlenbeck process in an external gradient force field pushing it toward a smoothly imbedded submanifold of . The force is chosen so that is asymptotically stable for the associated deterministic flow. We examine the asymptotic behavior of the system when the force intensity diverges together with the diffusion and the damping coefficients, with appropriate speed. We prove that, under some natural conditions on the initial data, the sequence of position processes is relatively compact, any limit process is constrained on , and satisfies an explicit stochastic differential equation which, for compact , has a unique solution.
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