The premise of this article is that cognitive development involves both conceptual and semiotic achievements. From this perspective, the authors emphasize the distinctness of the semiotic issues and develop a differentiated appreciation of the semiotic aspects of cognition, particularly in the field of elementary mathematical cognition. The authors provide semiotic analyses of the differences between counting, adding, and multiplying and of the conventional place-value system. The authors introduce the concept of the field of reference of a sign, the differentiation of (...) the field into foreground and background, and the dynamics within the field of reference. Finally, the authors relate these ideas to the dynamics between two dimensions of semiotic relations: the sign-referent dimension and the sign-sign dimension. (shrink)

Philosophers and scientists seeking to conceptualize consciousness, and subjective experience in particular, have focused on sensation and perception, and have emphasized binding – how a percept holds together. Building on a constructivist approach to conception centered on separistic-holistic complexes incorporating multiple levels of abstraction, the present approach reconceptualizes binding and opens a new path to theorizing the emergence of consciousness. It is proposed that all subjective experience involves multiple levels of abstraction, a central feature of conception. This modifies the prevalent (...) idea of sequential development from sensation through perception to conception. Further, this approach to mind and consciousness links constructivist theory to artistic activity and suggests that conception, subjective experience, aboutness (intentionality), and agency are linked together through separistic-holistic complexes. It also argues for change in the prevailing constructivist view that regards the process of production of new levels of conception as inherently directed towards better fit with the external environment. Copyright © 2008 S. Karger AG, Basel. (shrink)

Constructivist theory must choose between the hypothesis that felt perturbation drives cognitive development (the priority of felt perturbation) and the hypothesis that the particular process that eventually produces new cognitive structures first produces felt perturbation (the continuity of process). There is ambivalence in Piagetian theory regarding this choice. The prevalent account of constructivist theory adopts the priority of felt perturbation. However, on occasion Piaget has explicitly rejected it, simultaneously endorsing the continuity of process. First, I explicate and support this latter (...) position, arguing that felt perturbation emerges after the construction of a new cognitive structure has already begun. Next, I discuss the broader significance of rejecting the priority of felt perturbation in terms of a distinction between two types of theory of effective change, labeled Lamarckian and Darwinian in analogy with familiar theories of evolutionary change. Rejecting the priority of felt perturbation allows the development of a Darwinian perspective. In turn, the Darwinian perspective offers advantages for elaborating the analogy Piaget proposed between consciousness and the relation of form and content. (shrink)