Should we say "single-gender education"?

Mark Liberman -- who saw that term in a headline -- wonders why someone would want to avoid the standard phrase "same-sex education." [ADDED: I meant to write "single-sex education," and I can see that my slip shows a problem with the term.] Is it a matter of embracing the word "gender" to express the belief that differences between male and female are produced by culture, not biology? Or is it prudery about about the word "sex"?

Liberman informs us that the word "sex" goes back to 1382 -- "Of alle thingis hauynge sowle of ony flehs, two thow shalt brynge into the ark, that maal sex and femaal lyuen with thee" -- but the first use of it to refer to "genital pleasure" is in this D.H. Lawrence poem, "Pansies":

If you want to have sex, you've got to trust
At the core of your heart, the other creature.

I think it's mostly prudery, unless they're going to let the kids decide on their own gender identification, which I think would be a good idea. You have one school that teaches in a way they think works best with most boys and the other that -- like most schools these days -- does things that tend to work with girls. Then, each child, with a parent's help, looks carefully at the different teaching styles and picks the one that suits him or her best.

This reminds me of my old proposal for a law school dedicated to the traditional Socratic method in all the classes. Presumably, that's a male style of education -- not to say that all male law students would like it or thrive in it or that no female students would want to attend. But wouldn't it be good to have that option? Would you take it?