From your first link:
To accommodate this overlap, the researchers created a continuum of “femaleness” to “maleness,” for the entire brain. The male end zone contained features more typical of males, and the female end zone contained the version of the same structures more often seen in females.
The point is not that there is a complete black and white difference between men and women. There is a continuum with overlap (which includes transgendered people), but there are also correlations which show SOME (not all) statistically signficant differences between the majority of people who fall into each general part of that spectrum.
For example, the relationship between testosterone levels and cognitive ability patterns, indicates that there are quantitive differences in spatial ability depending on T-levels. Low-T men scored better than all other groups, and high-T women scored better than low-T. So there are general physiological differences in how MOST men are wired compared to MOST women.
No matter how many opportunities we offer promising female students, while eliminating negative feedback from parents, classmates and employers, only women with higher spatial abilities are going to follow the path of engineering — people continue doing something when they like it and they are good at it. I’m sure there will be larger numbers of women who will become engineers in the future; just don’t expect there to be a 50–50 distribution of women and men engineers if spatial abilities are correlated to the presence of a male hormone. (And the big issue should be for female engineers to make the same money and have the same career opportunities as their male colleagues).
I wrote some articles on these differences as they apply to communication styles, and relationships, based on the works of linguist Deborah Tannen, Ph.D. I tried to give weight to both nurture and nature. Saying there are no differences between men and women misses the mark just as much as stating that one gender is superior to the other. We need to understand and respect our differences in order to create healthier relationships and build a better society.