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Relations betweek behavioral levels at gifted children |
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Written by Florin Colceag
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Wednesday, 15 October 2008 |
Abstract:
In pedagogy one wants to have a finer understanding of what means the overall profile of a gifted child and how can it be computed. Gifted is defined by highly complicated dynamics, by complexity in self-organization processes. How is one able to handle such a phenomenon? There are to ways: educational theories and computational neuroscience. Educational theories stress the description of psychological quantities in psychological terms. Computational neuroscience uses the machinery of algebraic graph theory and statistical analysis.
We wish to take another path in studying this phenomenon. We will stress on some proprieties that the algebraic fractal yield. From the point of view of this theory if there exist two phenomena(A and B) that coexist by having the same generation pattern they will share the same symmetries at each level. Therefore, on this basis we have a means of computing the invariants of phenomenon A in terms of the invariants of phenomenon B.
Paul D. MacLean’s model of brain gives a good way of understanding how the n+1 layer develops under the projection of the nth layer. Is it possible to find this invariant in a behaviour model? We try to sketch some answers on how one might understand the gifted child’s evolution and behaviour by building a toy model.
We describe how a sequence of levels ( i.e. instincts, emotional states, styles of thinking, etc) define in a natural way two way projections between them. These projections induce local properties that configure the relation between the levels. We aspect from this model to give a new insight on how to treat and classify the overall profile of a gifted child.
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