Teaching & Education Placement

TGT (Trained Graduate Teacher) & PGT (Post Graduate Teacher) are titles and not courses. There are courses that are called TGT courses, like B.Ed is a TGT course. TGT (Trained Graduate Teacher) - This means, you are a graduate, who is trained in teaching. If you clear you're B.Ed, then you already become a TGT.

You can go for b.ed & m.ed after which you can apply for UGC NET to become a proffesor

Kindly specify your question.

NITs are better in comparison to any other institutions. You should go for NITs.

Dear arpit
If you want to teach math subject than you should do B.ed and M.ed than you are eligible to do so.
Although major of the international school require b.ed to start as teaching profession.
If you would do M.ed after b.ed than you can teach to higher classes in school.
All the best