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Jun 30, 2017 at 2:04 comment added jfkoehler @MikhailKatz tried. I don't know how familiar you are with structures in mathematics, but a group is the important one for Piaget. His rules for operational knowledge should be compared to the group axioms and the example of classification for children to the mathematician's description of a group. Structuralism and GE are must reads if you're interested in this. Hope I've helped some...
Jun 30, 2017 at 2:01 history edited jfkoehler CC BY-SA 3.0
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Jun 29, 2017 at 16:20 comment added Mikhail Katz Thanks! Could you elaborate if possible on what Dieudonne's three structures were, and what Piaget's three structures were, and what their perceived similarity was exactly?
Jun 29, 2017 at 15:45 history edited jfkoehler CC BY-SA 3.0
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Jun 29, 2017 at 15:38 comment added jfkoehler @MikhailKatz word. edited above and tried to change things a bit and give an example. Hope this is better.
Jun 29, 2017 at 15:37 history edited jfkoehler CC BY-SA 3.0
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Jun 29, 2017 at 8:12 comment added Mikhail Katz If you get a chance try to focus your answer on the question being asked rather than the question you feel should be asked.
Jun 29, 2017 at 8:12 comment added Mikhail Katz Hi @jf and thanks for your input. I emphasized in my question that what I am looking for is not an analysis of Piaget's oeuvre but rather an analysis of the specific issue of the putative connection between the structures in the learner's mind and the mathematical structures like sets, commutativity and other laws for arithmetic operations, definition of number is equivalence classes of equipotent collections a la Frege, etc. Only the next-to-last paragraph of your answer indirectly touches upon this issue.
Jun 28, 2017 at 18:50 history answered jfkoehler CC BY-SA 3.0