not enough women are naturally drawn to science and engineering.
Because they're put off by it. In some countries, girls are encouraged to take jobs in IT, because it's clean work, unlike agriculture or cleaning, which are the other main opportunities open to them. It is a cultural issue, one which is a biggest issue in the UK, north-western Europe, Canada, USA, Australia, New Zealand.
Making people aware of the range of careers is one of the main ways to attract people. There was a programme on the BBC last autumn - Girls Can Code - and most of the young women on the programme had just never considered any form of IT as a career. It wasn't that they'd thought about it and rejected it, but that it had never been something they'd considered at all as any sort of possibility. That's a big gap which needs to change, and I hope with the curriculum changes which came in about 18 months ago, we will see more of a change there, as it has longer to bed in.
There have been women involved in IT in particular (it's my field, it's why I know more about it) from the very start. You may have heard of Ada Lovelace, maybe Hedy Lamarr (the actress - also did important work including lodging a patent responsible for much of our wireless technology today.) What about Grace Hopper, the ENIAC girls, Jean Sammet, Stephanie Shirley, Radia Perlmann, Anita Borg, Wendy Hall, Karen Sparck-Jones, Margaret Hamilton, Adele Goldberg, the Estrins, Martine Kempf, Susan Landau, Shafi Goldwasser, Rozsa Peter...
Most branches of STEM will have lists of important women - just because they're not widely known about doesn't mean they weren't there.