Back on topic, the notion of "gender as a social construct" is the part of this that puzzles me. What exactly do we mean by that? Are we saying that the perceived social differences between the genders are created by society? Girls have a higher tendency to liking dolls and boys have a higher tendency toward athletic competition because society tells them to?
Then I wonder, when transgender people say they were born the wrong gender, how is that determined? How does this teenager determine early in life that he is actually a she? Is it because of a subconscious tendency toward those characteristics that society has identified as conforming to one particular gender's identity? Doesn't this suggest that being transgender shows that gender isn't actually a social construct, but that the sociologically identified differences between the genders are in fact legitimate?
Let me ask you a question, Platypus. At what point in your life did you realize you were a boy? I'd guess you can't remember. You'll say something like you always knew. Oh, maybe not at birth, but from the time you had awareness you knew you were a boy.
Transpeople are just the same. The only difference is that the gender they know themselves to be does not match their physical genitalia.
Transgender is not the same as gender nonconforming. Brittney Griner, for example, is gender nonconforming but not transgender, she has made it clear she always thought of herself as a girl/woman but did not fit the norm of conduct - she prefers male clothing on many occasions, for example. Chelsea Manning is transgender. And due to social prejudice transfolks often go to extremes - transwomen frequently join military and other hyper-male environments trying to "cure" themselves.
Gender nonconformance is a continuum. I have been called unfeminine, often, due to being too outspoken, too good at math, too knowledgeable about sports, and neither knowing nor caring about fashion. And yet I clearly present as a woman. I just don't fit the straitjacket. And this is why gender is indeed a social construct. Because there are shades of gray; transgender, gender nonconforming to greater or less degree, gender conforming, cis gender. And then throw in that definitions of what is proper for male and female has changed over the years, and also varies with race/class (while white women were seen as helpless, fragile, in need of male "protection", and asexual, black women were seen as Amazons who could do unlimited labor, hypersexual, minxes who "made" men rape them). Once a female president was a joke, now it's a very high probability. Once girls were told running would make their uterus fall out, now female athletes are common. Once women were told college education makes us infertile, now women are the majority in colleges. So which is true female gender?