Here goes:
Normally you thread from the tailstock toward the headstock in forward to make a right hand thread.
Joe Pieccyzinski among others suggests that you thread away from the headstock to prevent crashes, etc. to do this, and still get a right hand thread, you have to run the lathe in reverse, you thread away from the headstock, but this involves turning your tuning tool upside down - if the tool is on the front of the work.
Th alternative method, which is used my model makers in the UK a lot, is to make a new tool holder behind the work, still on the carriage,, to hold the tool holder. This is also used for cutting off. but in the threading mode, is used for threading away from the chuck.
I hope I've clarified things a little.