Children that are strongly correlated with an INTJ preference (high NT) would likely display the following attributes:

Tend to spend time alone to explore and understand particular processeswhich would include toys, games and puzzles.

Almost certainly gain personal reward through showing/displaying to peers and parents acts of intellect, and to be a potential subject matter experts (Against their peers - other children).

Likely to dismiss form over function e.g. dismiss practicing handwriting over learning and expressing knowledge (Math/Science etc).

Likely to spend more time when interaction occurs, with smaller and more selective groups; may even have a distinct preference to interact with adults more. (Simply because the intellectual discussion is at a higher level).

Likely, not to be submissive where they believe they are able to articulate their thoughts without negative feedback. (INTJ children realize they are part of a group in a classroom situation and don't like to stand out too much, hence they may route their intellectual capacity into statements of wit and other group sharing/enhancing activities).

Not afraid to completely dismiss large portions of a class that contradicts their value systems orientation (consistency of behaviour is like systems predictablity but with moral overtones).

Probably display an interest in non scientific activities as a counter balance, but still likely to introduce pattern forming and logic into the activity. Art, with logic embedded and so forth.

Quite possibly will come back with a solution or observation to a discussion that you had with them in the past, if the issue was of significant interest to them.

Very likely to excel in unstructured problem solving.

Very likely to make perceptive remarks and have a raft of underlying logic to support it with.

Quite possibly have ongoing adjustment issues (basically acting down) when in reality they want to (reach upwards) while they try to fit into classroom environments that don't have the same outlook, intellect, perceptiveness, intuition or sheer wonderment of the physical world that they do.