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" "I … sent a program of research to the Rockefeller Foundation. … [Their] questions were almost all of a surprising pertinence. I remember the practical questions … But I particularly remember the theoretical questions, due among others to [Shannon] Weaver, the mathematician interested in information theory who was then in charge of the Department of Science at the Foundation: How will you find interesting epistomological ideas, for example, the theory of relativity, in studying children who know nothing and who in any case are brought up in the intellectual tradition dating from Newton? …
I had the luck to be able to remark … that Einstein himself had advised me in 1928 to study the formation of the intuitions of velocity in order to see if they depended on those of duration, and that further, when I had the good fortune to see Einstein again at Princeton …, he was quite delighted by the reactions of nonconservation of children of four to six years (they deny that a liquid conserves its quantity when it is poured from one glass into another of a different shape: ‘There is more to drink than before,‘ etc.), and was greatly astonished that the elementary concepts of conservation were only constructed toward seven or eight years.
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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In certain circumstances where he experiments in new types of conduct by cooperating with his equals, the child is already an adult. There is an adult in every child and a child in every adult. … There exist in the child certain attitudes and beliefs which intellectual development will more and more tend to eliminate: there are others which will acquire more and more importance. The later are not derived from the former but are partly antagonistic to them.
Between the various types of rules which we shall give there will therefore be at once continuity of function and difference of structure. This renders arbitrary any attempt to cut mental reality up into stages. The matter is further complicated by the "Law of conscious realization" and the resulting time-lag. The appearance of a new type of rule on the practical plane does not necessarily mean that this rule will come into the subject's consciousness, for each mental operation has to be relearned on the different planes of action and of thought.