I  am the shop/tech teacher at a high school. As long as education and society give tech the stigma of being a place for "geeks and nerds" and many of the skilled trades are a place for "dummies and trouble makers", we will never get the female leadership we desire.
I  find myself fighting with on a regular basis. I get girls telling me that they were purposely timetabled out my class and placed  more serious academic pursuits, while boys who should not have been placed in my class were "dumped" there because in the words of one guidance councilor "...not having a university degree, I should know that it does not take much brains to hammer two pieces of wood together", or "...isn't your CAD/CAM software similar "clip art"..."
On another occasion, I was told to teach machining by having students read the textbook, watch a video, write an essay on machining, and write a test without ever having used a machine tool. Principal dropped my senior class after I argued with him.