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" "A child’s first geometrical discoveries are topological. If you ask him to copy a square or a triangle, he draws a closed circle.
Jean Piaget (9 August 1896 – 16 September 1980) was a Swiss developmental psychologist, famous for his work with children and his theory of cognitive development.
Biography information from Wikiquote
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A response is thus a particular case of interaction between the external world and the subject, but unlike physiological interactions, which are of a material nature and involve an internal change in the bodies which are present, the responses studied by psychology are of a functional nature and are achieved at greater and greater distances in space (perception, etc.) and in time (memory, etc.) besides following more and more complex paths (reversals, detours, etc.).
Children should be able to do their own experimenting and their own research. Teachers, of course, can guide them by providing appropriate materials, but the essential thing is that in order for a child to understand something, he must construct it himself, he must re-invent it. Every time we teach a child something, we keep him from inventing it himself. On the other hand that which we allow him to discover by himself will remain with him visibly for the rest of his life.
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