Prior permission from D.I. is always necessary for Correspondence/Distance Mode of Education. Pls see the G.O. No. 548-SE(S) dtd 24th June,1997. So, ex-post facto approval of D.I. shall invariably be obtained in this case.
Prospect of Pass Graduate Teachers
On the other hand, permission from D.I./A,D.I. is required if the teacher (Hons./PG) claims financial benefit attached to the enhancement of qualifications. As per section 14(1) of Control of Expenditure Act 2005 P.G. degree is not essential for a pass graduate teacher, and thus no monetary benefit can be allowed to him for acquisition of that higher qualification. According to recent High Court verdict a teacher has liberty to enhance qualifications in academic interest without hampering his assigned works. It would be enough if he gets permission from M.C. for pursuance of PG course. As per the G.O. No. 593-SE /ES/O/B/1M-98/2007 dtd 27.11.2007 M.C. has no authority to forward his application to D.I. So, acquisition of higher qualification may or may not be related to financial benefits. If there is consequential financial benefit approval of D.I. is essential. Therefore, the question of taking ex-post facto approval from D.I./A.D.I. for carrying out P.G. course by a pass graduate teacher does not arise.
Prospect of Pass Graduate Teachers
I think your case is covered by the provision of G.O. No. 548-SE(S) dtd 24th June,1997 related to Correspondence/Distance Mode of Education. So, Ex-post facto approval may be obtained from D.I.