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Do you have a link, paper or book recommendation for those wanting to read more about how kids "fail" repetitive logic tests as you just described?

My anecdote is a chapter called 'Piaget errors' in 'The number sense' http://www.amazon.com/The-Number-Sense-Creates-Mathematics/d... a book from Stanisla Dehaene. You can check out the preview but it skips a part of the piaget chapter though.