Using Rabbi Jane Kanarek's 2019 CJLS (Conservative Movement) halakhic responsum, I explain the complex development of Jewish head covering for both men and for women.  Though my conclusions from the sources are a bit different from Rabbi Kanarek's --who does not address issues of relative cultural gender standards-- I, like her, agree that the vast majority of Jews are uneducated to the halakhah of head coverings in awareness of God's presence and in representing the community before God -- a basis that is essentially independent of the familiar domains of female gender modesty and male Jewish identity.  Interestingly, today there is a movement of Jewish women under 50 to wear Jewish scarves and headbands, apparently in recovery of Jewish gender price and identity, but I believe many who do so are unaware of the complex roots that separate principles of hair covering and head covering.