Perhaps but it may be more basic than that.
In the past the division of labor was between camp and hunting. In camp you can have a very social and gregarious nature. However the same behaviours on the hunt will likely leave you hungry. With the amount of time spent in such activity the needs of quiet and care likely became more ingrained, unconsciously. Add to that the observation of the manner of behaviour among the women, in primitive understanding, could easily become to be marked as difference between the genders. With the belief than supported that such actions or behaviour would label that "hunter" as a women.
Just a thought, no basis nor classroom interaction created this. The differences seem so ingrained they have to have been inculcated in the human psyche in humanities youth.