School’s latest intention: old writer to turn up, covering two terms (8)
I believe the answer is:
binomial
'school's' is the definition.
The answer and definition can be both related to thinking as well as being singular nouns.
Perhaps you can see an association between them that I can't see?
I cannot understand how the remainder of the clue works.
Can you help me to learn more?
(Other definitions for binomial that I've seen before include "with two names" , "Algebraic expression of two terms linked by + or -" , "(Of an equation) consisting of two terms - in a limbo (anag)" .)