Should a missed prayer be made up aloud or silently, according to the time it was due or the time it is being made up?

Scholars differed on how to make up missed prayers. Some held that the determining factor is the time of making up the prayer (qadaa'), so one should recite the Dhuhr prayer aloud if making it up at night, and recite the 'Isha prayer silently if making it up during the day. Others preferred the view that making up a prayer imitates its original performance (adaa'), meaning one should perform the missed prayer according to its original description at the time it was due. Thus, one should recite a nighttime prayer aloud even if making it up during the day, and recite a daytime prayer silently even if making it up at night. They cited as evidence the hadith: "Whoever sleeps through a prayer or forgets it, let him pray it when he remembers it," and the hadith of Abu Qatadah regarding making up the Fajr prayer, as well as the principle that "making up a prayer mimics its original performance."