I remember back in high school in the Soviet Union (then, what became one of the ex-Soviet Union republics, much like Georgia), there were quite a few girls in my class who were doing well above and beyond what boys would be in math, informatics (what we called computer science) and physics. Remember asking a girl for help to understand integrals.
So there is something to it in that part of the world. And yeah I think strong role models help. One of the girls' father was a programmer that helped probably.
And other aspect, I think they didn't have as many stupid and bad role models to look at -- no teen pop models, no Snapchat, our school didn't have cliques, not as much backstabbing. There was not any emphasis on sports as extra-curricular activities (How I know to compare, you might ask? Well I actually went to a year to a US High School as well so got a pretty good first hand view of both sides).
Heck for a while someone invited kids from our school to join a sports riffle club (or target shooting, whatever shooting .22 riffles sport is, always wondered if it was KGB or army looking for snipers to train...). And even there, half of those that joined were girls. And they hit the targets better and most consistently than us boys because they were more dedicated and we just goofed around more.
Maybe I am being nostalgic here, but I think there is something to the differences in culture. Although I wish I had a better idea exactly what it is.