What is the manner of performing the Tarawih prayer, and has a Hadith been reported to be recited after its first four rak'ahs?

In summary, sitting for rest between the rak'ahs of Tarawih prayer is generally permissible and inherited from the Salaf. Occupying this time with remembrance of Allah (dhikr), seeking knowledge, and teaching it is also permissible, provided that it is not made a permanent habit, lest people consider it a Sunnah.