Throughout most of history men and women have divvied up the tasks along somewhat similar lines. You have to ignore grossly perverting factors like our images of medieval nobility where roles are completely falsified by money and they apply to only a tiny proportion of the population. The correct model to consider of any time is the common man and woman.

Typically they've split things up like this - he concentrates mainly on things like hunting, heavy farming, war & defence, engineering & building, governing & keeping the public peace. She concentrates mainly on things like child rearing & education, caregiving, managing & administrating the household, local social associative activities, marketing (that is, getting products to and from market), light farming, and the like. Not that the lines were ever clearcut - when the fields needed clearing, she pitched in, and when the kids needed discipline he was an equal parent - so these were more tendencies than strict divisions.

Along came the industrial revolution and men left the home and the community from sun-up to sun-down to specialize in just one task in exchange for money with which they could pay other men to take care of all the other tasks for them. But they specialized in those typically male tasks, engineering machines, building an industrial complex and producing the goods women needed to make a household. All the white collar management stuff followed more as a necessary means to manage it all as it grew. The technology and wealth this produced was a great boon to mankind, but, frankly, the jury is still out on whether the particular way this re-organized daily life and society in general was a good thing. Men gave up independence and freedom for the shackles of a factory floor or office and a paycheck.

Fast forward 200 years, and women are hot to follow men into the industrial complex. And where do they go? Health care, teaching, retail, white collar manangement & administration, banking, service industries...they do exactly the same as men, specialize in those tasks they are naturally drawn to to earn money to pay other women to do all the other tasks they no longer have time to do for themselves.

But this doesn't suit some people's ideology, so we try to re-program kids and re-engineer people's natural behaviours (the 'environment') to produce the desired result. Mao's communists succeeded in training kids to turn in their own parents to produce the model of society desired by the central planning ideologues, which one would think runs counter to all natural human instincts. So it can probably be done, but at what cost.