Well - a week's detention for me, then… LOL
I could acknowledge that a venn diagram is not an ideal way to portray the concept i'm getting at, but instead i'll just add that intersexual people should be allowed to invest in the stock market as well. 
 
The point is, unlike JayHawk's argument (and many others), I don't believe there is any good science behind the idea of "the 
opposite sex."
It's more like "the overlapping sexes" or "the slightly-offset-from-each-other sexes."
You can't untangle people's needs, behaviours, intuitions, actions, based on whether they have penises or vaginas. At least not for most people. Most men and women are different in their anatomy, but completely comparable in their thought processes, strengths, weaknesses.  There are outliers for either gender. (Some men for whom there is no comparable woman, and some women for whom there is no comparable man.)  
And that means the kind of gender-differentiated education proposed by these theorists would help some boys to excel, and some girls to excel. 
 But it wouldn't necessarily do a damn thing for the majority of people who are in the Great Tangled Middle Ground, and it might actually eject and exclude people. Some boys won't relate to being treated like a stereotype one-size-fits-all prototype boy. Most boys don't need to be shouted at in a loud direct voice in order to understand their lessons. Most girls don't need to have a supportive "feelings check" before they get on with their science class.  The ones who do are likely the way they are because of their biology, but in no way is it clear they are the majority or that the entire school age population will easily relate to their learning style.
Isn't there a way to figure out what kind of learning style works for each kid and then just put them in that class?