Foresight before a school subject? (10)

I believe the answer is:

prescience

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'foresight' is the definition.
(I've seen this in another clue)

'before a school subject?' is the wordplay.
'before' becomes 'pre' (prefix meaning 'before').
'a school subject?' becomes 'science' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'pre'+'science'='PRESCIENCE'

Can you help me to learn more?

(Other definitions for prescience that I've seen before include "knowing what will happen in future?" , "Foresight" , "Foreknowledge" .)

I've seen this clue in the Sydney Morning Herald.

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