"Good thing the women at the tomb were not silent..."
Were the women at the tomb teaching?
Griffin: "Were the women at the tomb teaching?"
Raises a good point. They were witnesses, bore testimony: martyrdom is a ministry available (and required of) all Christians, men or women. It is a very, very important ministry--it was back at the empty tomb and remains so today.
For those Christians who believe in a sacramental priesthood (Orthodox, Catholics), every other ministry is open to women except episcopacy/priesthood/d[eacon]. There's "teaching" and then there's "teaching"--for those with an apostolic succession understanding of the bishop, formal, authoritative, binding teaching belongs only to the bishop and those to whom he delegates it (which has included priests since about the 1000s or 1100s). Priests are derived from bishops, perhaps from the elders who initially were a sort of council of advisors but who had delegated to them various sacramental roles as the churches in various cities became too large for the bishop to handle all the sacramental roles all the time. Teaching was delegated to priests long after the sacramental roles were.
But then there's more general instruction in the faith given by parents to their children, schoolteachers etc. It's not part of the Church's office of teaching but is a valuable, indispensable ministry. Both men and women do this, nuns, parents etc.
One of the reasons that Evangelical Protestants have a particular struggle over the question of women ministers is that they (and mainline Protestants) rejected the claim that ordination is a sacrament that links the priest and bishop to the apostles with their authoritative teaching office. The authoritative teaching office for the Reformers rested on the pastor's knowledge of Greek and Hebrew and unction from the Holy Spirit. The Biblical injunctions against women teaching could probably be transferred to such trained clergy but would not apply to women teaching their children or in schools etc. But Evangelicals were suspicious of this emphasis on a learned, university trained clergy when the universities secularized and biblical scholarship became unbelieving. So Evangelicals have had an ambiguous, conflicted view of learned ministry, which then blurs the lines between trained pastor and every other lay member of the congregation. This has lead to forbidding women to teach in the Church in any way at all, which Catholics and Orthodox do not have to do because they have clearer lines between binding, authoritative Magisterium-teaching (reserved to bishops in apostolic succession) and its non-magisterial extension by delegation in the priest's Sunday homily, on the one hand, and all other forms of teaching ministries, on the other hand. The latter are open to women, as are all other ministeries, including "testimony," bearing witness. These very distinctions between clergy and laity (and nuns and monks are part of the laity, not the clergy) are blurred by those who want to eliminate the very idea of clergy. If they did, there'd be no problem with women priests in the Catholic and Orthodox Churches, but then, again, there'd be no priests at all!
It all depends on what one means by "to teach."