Sixth sense in teaching (9)

I believe the answer is:

intuition

'sixth sense' is the definition.
(thesaurus)

'in teaching' is the wordplay.
'teaching' becomes 'tuition' (tuition is a kind of teaching).
'in'+'tuition'='INTUITION'

(Other definitions for intuition that I've seen before include "Unconscious understanding" , "Suspicion" , "Ability to understand immediately" , "Instinct" , "Gut feeling" .)

I've seen this clue in The Telegraph.

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