Schools are all about conformity and enforcing arbitrary rules. Schools are designed to make you docile and get used to bullshit so you’re less likely to revolt in your job.

It’s a leftover from Christian tradition.

1 Corintians 11: 4 - 7 4 Every man who prays or prophesies with his head covered dishonors his head. 5 But every woman who prays or prophesies with her head uncovered dishonors her head—it is the same as having her head shaved. 6 For if a woman does not cover her head, she might as well have her hair cut off; but if it is a disgrace for a woman to have her hair cut off or her head shaved, then she should cover her head. 7 A man ought not to cover his head,[b] since he is the image and glory of God; but woman is the glory of man. 8

Students don’t get to be warm. Only teachers get to be warm.