Beruriah knew and quoted Mishna. Also, contributed to the Gemorah.
Also, current Jewish education for both boys and girls is in large part a defense against inappropriate environment rather than learning l’shma. So, girls who might follow their lev, might need emotional education; those who will be exposed to foreign ideas, might need more intellectual learning.
A Chassidishe Rebbe, whose name escapes me, kept his daughters in his house in 1920s Poland, not to expose them to bad ideas on the street (presumably, a Chasiddishe street). I think a very relevant idea.