Galatians 3:28 says that -"There is neither Jew nor greek, there is neither bond nor free, there is neither male nor female: for ye are all one in Christ Jesus."
So I do think that it is okay for men to learn things from women. But, being the leader of the church is a different matter. if there are no men available to be the preacher it would be okay for a woman to take the lead- that is if no man will or can do it. However, 1 Corinthians 11:3 says that:
"the head of every man is Christ; and the head of the woman is the man; and the head of Christ is God."
Then it goes on to say that men should pray without their heads covered but women should pray with their heads covered- I think it is saying the same thing that verses 14 and 15 are saying: "Doth not even nature itself teach you, that, if a man have long hair it is a shame unto him? But if a woman have long hair, it is a glory to her: for it is given her for a covering"
verses 7-12 say- "For a man indeed ought not to cover his head, forasmuch as he is the image and glory of God: but the woman is the glory of the man. For the man is not of the woman; but the woman of the man. Neither was the man created for the woman; but the woman for the man. For this cause ought the woman to have power on her head because of the angels. Nevertheless neither is the man without the woman, neither the woman without the man, in the Lord. For as the woman is of the man, even so is the man also by the woman; but all things of God."
This says that the man is the glory of God and the woman is the glory of the man. The man is made in the image of God. The Bible doesn't say that the woman is the image of God or that she is the image of the man. Genesis 1:27- "So God created man in his own image, in the image of God created he him; male and female created he them."
Now, spiritually we are all the same- but the physical is nature. Our natures have power over us to some degree and over our thinking and interpretation. ideally, the man should be the leader of the church because that is the way God made us to be naturally. This is just an area that I take by faith- I don't need an explanation. That is what is best. There is no need to try and rebel against the natural order. Women can lead the church- but it is better for the men to lead it if there is a man worthy of leading it.
Of course it could be just my personal preference also. I went to a church once with a female pastor and she just made me cringe. She really got on my nerves because of the air of authority she took on. It just didn't feel right. I see where Paul is coming from.
I think that Bible Studies with women leading them are fine- like Sunday school teachers. But, for a woman to preach- I really don't like the idea. I may be old-fashioned though.