I love learning about brain research and the brain's elasticity so I would personally approach it from that point of view. But I'm not an expert by any means. For me, it's just a popular science hobby I enjoy reading about. Anyway, the brain "learns" things by creating neural pathways. The more you do something the stronger those pathways get. However, the brain is pretty elastic and can learn and unlearn things throughout your life. So I would think our tendency to stutter in similar situations would be very similar to how you would unlearn any bad habit. You have to stop doing the behavior that strengthens those pathways (stuttering) while simultaneously starting a new behavior that will generate the new pathways (fluency). I read somewhere that when musicians develop a bad habit, for example, using bad technique like using the wrong finger to hit a certain fret on a guitar or a violin, it can be very hard to break. So much so that an effective method to fix it is to lay down their instrument and not play it at all for several months. This allows those neural pathways to start to fade since they're not being used and continually reinforced. Then they slowly start playing again, but only using the correct technique so that only the neural pathways they want are being built up. But in our case, it's not that simple. I think for that to apply to us, it would mean you have to find a way to not stutter in public or stutter the least you can and only be fluent. But of course that's the goal we're trying to achieve here! So maybe it means not speaking as much the next few months (if that's even feasible) or maybe finding a way to be extra fluent. An effective method some people use is to sing their words (while looking pretty silly, of course). For me, I find it helps to enunciate each syllable very precisely and sometimes even putting little pauses between syllables. Or going the complete opposite direction and using very flowy monotone speech. But it's difficult. I get lazy and don't do it and then tend to lose my progress. But I still think something like that is probably the way to do it.