I apologize if this has been discussed, I imagine it has since there's a wealth of old threads here, but I'm not sure of the technical names used for these techniques to be able to search them.
In the past, I remember being taught to squeeze the trigger slowly with constant force and the shot should be a surprise. Back then about 20 years ago, people used to refer to it as squeezing the trigger, and it seems like the last decade, everyone prefers the terminology "press" I'm indifferent on the terminology use, although a little curious what caused the change.
Lately, in things I'm reading it seems that the better way to handle the trigger (on a Glock at least) is to slowly take up the slack, and then quickly press the trigger straight to the rear. Or maybe I have it backwards and it is quickly on the slack and then slow constant pressure on the last bit?
I'm sorry if this is something like old 9mm vs 45 debates where people pick sides. I'm just recently learning about this Method 2 and not sure if there's any technical names for it to look for old discussions. I haven't taken a "pistol-specific" class in maybe 15 years. All of the courses I've taken lately have been things like ECQC. So any advances in pistol instruction over the last 15 years have been lost on me. I plan to correct that in the next year.
Edit to add that I may have gotten Method 2 backwards on which part was fast/slow.