http://onlinelibrary.wiley.com/doi/10.1111/j.1751-9004.2010....
"Most importantly and contra predictions, we showed that economically developed and more gender equal countries have a lower overall level of mathematics anxiety, and yet a larger national sex difference in mathematics anxiety relative to less developed countries."
http://journals.plos.org/plosone/article?id=10.1371/journal....
"Previous research suggested that sex differences in personality traits are larger in prosperous, healthy, and egalitarian cultures in which women have more opportunities equal with those of men. In this article, the authors report cross-cultural findings in which this unintuitive result was replicated across samples from 55 nations (N = 17,637)."
https://www.ncbi.nlm.nih.gov/pubmed/18179326
"What might be surprising to most people, as we shall see, is the specific pattern of cross-national variation in the gender gap in authority. To cite just one example, in the United States, the probability of a man in the labor force occupying an "upper" or "top" management position is 1.8 times greater than the probability of a woman occupying such a position, whereas in Sweden, the probability for men is 4.2 times greater than for women."
https://www.ssc.wisc.edu/~wright/Published%20writing/CC-C9.p...
Your move.
> that by all accounts have less gender quality
> than the west but have more women science
> graduates. India is double the U.K. on that metric.
How do you conclude "social construct" from that data? When external pressures are greater, gender differences equalize. When external constraints fall away, gender differences are allowed to express themselves. So it is no surprise that self-segregation is pretty much directly and positively correlated to measures of societal progress and gender equality. Just to repeat that: the more egalitarian and progressive the society, the more the genders self-segregate in the workplace.
Here's a quote from a BBC article asking "Why is Russia so good at encouraging women into tech?" The answer is in the article: necessity.
"Most of the girls we talked to from other countries had a slightly playful approach to Stem, whereas in Russia, even the very youngest were extremely focused on the fact that their future employment opportunities were more likely to be rooted in Stem subjects." -- http://www.bbc.co.uk/news/business-39579321