'nonremedial' originates from Modern English, specifically from the combination of the prefix 'non-' (from Latin 'non', where 'non' meant 'not') and the adjective 'remedial' (from Latin 'remedium', where 'remedium' meant 'a cure' or 'remedy').

'remedial' came into English via Latin 'remedium' → Old French/Anglo-Norman forms (e.g. 'remede') → Middle English 'remedial'; in Modern English the negative prefix 'non-' was added to form 'nonremedial'.

Initially the root 'remedium' meant 'a cure' or 'remedy', so 'nonremedial' literally meant 'not curative'; over time the compound has come to be used especially in education to mean 'not intended to provide remedial instruction or corrective support'.