At the risk of wading into a quagmire, it’s hard to take this 2013 Pennsylvania study’s findings seriously, that there were new and significant hardwired differences in human male and female brains in addition to what we already knew. The authors didn’t explain all the factors involved in why they found what they did.
For example, can we raise kids in our culture along typical gender roles and biases, then at ages 12-14, say that the differences in their brains are solely due to their genders? To do so would be to ignore what’s known about epigenetic and environmental influences in shaping the brain.
Here’s an ancient (2011) 90-minute panel discussion of the subject that included the author of Is the purpose of research to define opportunities for interventions?
Kevin Mitchell has the last word in his 2017 post Debunking the male-female brain mosaic where he exposes these and other conceptual fallacies, and how framing and data cherry-picking can mislead accurate analysis.
http://www.pnas.org/content/111/2/823.full “Sex differences in the structural connectome of the human brain”