This is a very interesting short piece by a neuroscientist. The only part of the brain that is truly sex-differentiated is part of the hypothalamus that concerns ovulation.That’s it. Also includes references at end to books debunking the male-female brain hypothesis. 

“If someone wanted to convince me that their gonads and the “sex” of their brain doesn’t match, they’d have to demonstrate a mismatch of cyclical hormone secretion and their sex. ”

“As a feminist and a trained neuroscientist I don’t believe in an endogenous “gender identity.” Many women’s liberationists hold onto the ideal of treating human beings as individuals with interests and abilities that don’t necessarily correlate with sex organs. Gender is socially constructed, and social forces can also confuse self identity, particularly in cases where people don’t fit cultural norms. Conventional “girl” or “boy” behavior doesn’t fit many people. Why not simply conclude that the culturally defined categories—“feminine” and “masculine”—are the problem?”