If your initial reaction was one of a raised eyebrow and "what is he talking about?" you are not alone, especially since the same person would gleefully tell you that everyone is responsible for his or her own sins; God doesn't have grandchildren, only children, or something equally quaint.
But why would God expect men to train women as if they were children? Are women not grownups? And if men should train women to become the people God wants them to be, is every man a gifted teacher? If the blind shouldn't lead the blind, why should a fool try to mold another into his own image in the name of God?
A lot of nonsense is passed as "Biblical manhood and womanhood." It is almost as if we forget everything about reason and rationality as soon as the man's authority is mentioned. Anything goes as long as the man gets to keep his precious authority without having to explain why he has it. For really, if the woman is an equally rational being, there is no reason for the man to have authority. It's a divine "freebie" that the man has just because he is a man - although he really doesn't know how to use it or why he has it in the first place. We are told by the Council of Biblical Manhood and Womanhood (CBMW) that the first man failed to use his authority, which is why we are in the mess we are in now (visit their website here). But this begs the question, if the most perfect of all men didn't know how to use his authority in a constructive way, why didn't God give the authority to the woman after the fall? Wouldn't that have been a rational thing to do since the man didn't know what to do when given an opportunity?
Authority is given to restrain evil. If the man needs authority, the woman must be evil from creation, which is incidentally what the Greeks thought:
According to Greek mythology, men lived in peace and good health until the first woman, Pandora, entered the world. Pandora unwittingly unleashed disease, evil and general misery on mortals, serving as the gods’ punishment for man’s arrogance in accepting the gift of fire. This complicated tale marks women as a necessary evil in ancient Greek belief. With Pandora, men's other half is introduced to the world, and in depicting women as untrustworthy and even devious, the myth supports the paternal structure of ancient Greek culture (Read the article here)
Hence we find that the concept that the man needs authority is an ancient patriarchal belief that has nothing to do with biblical revelation. For if it is true that the man needs authority to restrain the woman, the woman has to be evil by creation, which means creation was never good, and humans weren't created in the image of God, for God isn't evil.