That which it says in Brachos "Kol ha'Korei l'Avraham 'Avram' Over ba'Asei..."
What about if someone is speaking and says over "When Avram was born..." (since he is speaking in a time when he was called that.) Or must he still say al pi this gemorah "When Avraham was born..."
Yehoshua, Yerushalayim, Eretz Yisrael
1. It seems to me that if one is learning the passages of Chumash before the verse in Bereshis 17:5 which states, "Your name shall not be called any more Avram," then one may use the name Avram. Otherwise, one should use the name Avraham.
2. Proof for this is the way Rashi writes his commentary on Chumash. Before Bereishis 17:5, Rashi always seems to use the name Avram (see, for example, Rashi to 11:32). In contrast, in 19:20 Rashi writes, "When Avraham was born...." Even though Rashi is referring to an event which took place before his name was changed to Avraham, Rashi refers to him as Avraham. The logic is that by the time we have reached 19:20 we know that his name is now Avraham, so this name is used even for events that happened before the change of name.
3. Similarly, in his commentary on the Gemara in Avodah Zarah (19a, DH Avraham), Rashi writes "Nolad Avraham." This is because we are now learning Gemara and we know that his name has been changed, and so we use the new name even for an event that happened when he still had the old name.
Kol Tuv,
Dovid Bloom