Well, I think her argument in that video is that male and female brains aren't really different, they're fundamentally the same, and that the only reason that these supposed 'differences' exist is because of bias due to cultural stereotypes of masculinity and femininity. That last section on how self-perception affects your abilities, either undermining them or enforcing them based on gender stereotypes, was really powerful IMO. (Like how women only got better at perceiving people's emotions when they were reminded that women were supposed to do better in that task, while they did worse in math only when they were told that it was a gender-related test.) That to me was pretty damned powerful. And since I've seen how babies' gender-specific behavior is reinforced from infancy, this could account for pretty much everything.
I'm not saying that it's necessarily 100% definitely true, but I've definitely seen this in action. Back in middle school, I had two girls with me in advanced-placement math who I believe were every bit as smart as me. After 5th grade, all three of us successfully tested out of not only 6th grade math but 7th grade math as well. All three of us could have gone on to take 8th-grade math while we were still in 6th grade. The difference? I saw the advanced placement as a great opportunity. The girls decided that they were afraid that they couldn't do it, so they stayed only one year ahead in math even though both of them had the capability.
Likewise, this might explain why transsexuals score high on tests involving traditional brain masculinity/femininity. Self-fulfilling prophecies. Because we want to do better on sections that correlate with our identity gender, we focus more on tasks that we know our identity gender is supposed to be better at. I know I end up doing that every single time I take one of those things. Because in my mind it's like "okay, girls are supposed to be better at this, I need to focus if I want to get that female score."
When you think about it, this actually really validates the transsexual identity of a lot of people who don't fit the traditional narrative. Because when we view a gravitation toward traditionally-feminine things as children as being proof that we should have been female, because we're hard-wired to be female, those who didn't do that as kids, and don't fit into the traditionally-feminine brain areas, start doubting themselves. (Myself included. It was one of my biggest sources of doubt.) But if it's just a symptom of identifying as female, and thus trying to fit in with how we view femininity, that includes a lot more people. And especially explains a LOT in my case, because I grew up in a very gender-neutral household where I was purposefully taught to ignore gender stereotypes. My mom even dressed me in yellow as a kid on purpose so that strangers wouldn't know which gender I was so that they couldn't give me the "he looks like he's going to be a big strong guy" / "she's so pretty! Aww!" behavior. Which could definitely explain why I didn't develop any sort of dysphoria until I was forced into the very non-gender-neutral world of middle school and was forced by peers to stop acting "girly."
So yeah, thanks for posting that lecture. I love it!