The Bible does not teach that man is superior to woman at all. The Bible teaches male-female equality, however, it also teaches male headship. Male headship has been defined by Ray Ortland, professor of OT at Trinity Evangelical Seminary. Male headship as presented in the Bible does not give the right, however, for the man to dominate his wife and children or to be a dictator. Just because many men have abused their role as leader, does not mean that the role itself is wrong.
Sin causes men to either abuse their role as leader, or to abandon it.
But the fact still remains that it is God's will for the man to be the head of his family. Because of the fall, Eve would desire to control her husband, but God was saying in this verse that He still wants man to be the head of the house. The New Testament confirms that man is to be the head of the house. The reasoning here for male headship is not based on shifting cultural circumstances, but on the unchanging truth that Christ is the head of His church. As long as Christ is the head of His church, so also a husband is to be the head of his wife.