Irrational belief in teaching (9)

I believe the answer is:

intuition

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'irrational belief' is the definition.
'intuition' can be an answer for 'belief' (intuition is a kind of belief). I am unsure of the 'irrational' bit.

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

Can you help me to learn more?

(Other definitions for intuition that I've seen before include "Instinctive knowledge" , "Ability to understand immediately" , "Unconscious understanding" , "Suspicion" , "An indefinable knowledge" .)

I've seen this clue in The Globe and Mail.

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