> fighting the battle far earlier and getting girls interested young so that they choose to enter these fields at a higher rate than they currently are doing.
I encourage you to try, but grand social engineering projects have been devoted to this exact specification in Sweden (and probably elsewhere), and the ratios don't seem to budge. I hope we won't all get so upset if it turns out nothing reasonable can be done.
I actually live in Sweden, and I can tell you that there hasn't been any social engineering projects at a large scale. Sure, there has been some adjustments to teaching and elementary school, but gender norms are very much alive and well here. It's not nearly enough to change a few things in school to actually make a dent, there's still soooo much influence from media, advertising, role models, friends and most adults.
I encourage you to try, but grand social engineering projects have been devoted to this exact specification in Sweden (and probably elsewhere), and the ratios don't seem to budge. I hope we won't all get so upset if it turns out nothing reasonable can be done.