But I don't permit a woman to teach, nor to exercise authority over a man, but to be in quietness.
Paul mentions to Timothy how he have been taught in the Scriptures by his mother and his grandmother. And so the teaching of the children was largely the responsibility of the mothers. The only thing that is prohibited here is the teaching of men and usurping authority over them in spiritual things. That's the only thing that was being prohibited here by Paul. He is not prohibiting a woman sharing with men. Paul in writing to the Corinthians mentions the women praying or prophesying in a public assembly and he doesn't come down on them for that. He doesn't say that that's prohibited. And "he that prophesies speaks to the church for edification, for comfort, for exhortation" ( 1 Corinthians 14:3 ), and I see these as areas where women can minister effectively.