sense-data
1: If you mean the interpretation used in Logical Positivism, that is not Piaget's interpretation at all. Sense-data for Positivists were indirect just because each observer has access to his/her own sense-data [images, mental representations] on the basis of which observations true of reality would be [would have to be!] constructed/extracted, or whatever. What a mess - let's leave to them how anyone could get from sense-data to reality! See Piaget's paper "The myth of the sensorial origin of scientific knowledge" in his book, Psychology and Epistemology.
2: Piaget's interpretation runs, roughly, like this, and it too requires indirectness. Knowing objects in the actual world requires sensory knowledge that he called "observables" [see Piaget's 1985 book, Equilibraton of Cognitive Structures]. But making sense of observables requires what Piaget called "coordinations" - or inferential knowledge, IK. This latter is complex, and the royal road to IK is in virtue of reasons. Reasons can be flawed; but also they can be necessitating reasons. For Piaget, it is these that take time to develop. A bit more on this in Piaget's paper, Reason, in New Ideas in Psychology, 2006. Only via a network of IK can any knower makes sense of his/her observables, and so reality.
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