Thanks, @alison lison 
My original stance to the original question: “Should we ‘teach’ children to prophesy” remains the same: no, so I think we agree there. Please correct me if I am wrong! My thinking leads me to that since we are supposed to teach children God’s Word, and God’s Word teaches about prophecy and prophesying, then we should teach about those things. I think not teaching them about prophesying could be harmful to them since they can and will learn about it from other sources. That, in turn, could be harmful to someone else.
I guess my thoughts on this is that exercising a gift of teaching could and has often harmed others when mistakes in teaching are made, and yet we encourage people to use the gift of teaching with wisdom and to the best of their ability as they mature in the Lord. I think the exercising of any gift could be harmful to someone else.
The problem with Holly Pivec’s idea about prophecy is that she is promoting an unbiblical teaching in regards to prophecy: “learn to prophesy according to the measure of their faith…” The Bible never talks about “learning to prophesy.” I believe Holly is referring to Romans 12:6, which states (NKJV):
Having then gifts differing according to the grace that is given to us, let us use them: if prophecy, let us prophesy in proportion to our faith;
Here, prophecy is not referred to as something learned, but as a gift. Second, this verse specifically indicates that not all Christians will have a gift of prophecy. (And we can be sure that even those who don’t and prophesy receive it from God and do not learn it as a skill). Third, this does not say that every Christian should or will prophesy according to his/her measure of faith, as if every Christian has a measure of faith that causes him/her to be able to prophesy or learn to prophesy. It is specifically saying those who have a gift of prophecy should prophesy in proportion to their faith.
I do agree that Holly’s attitude to prophecy is cavalier and lacks reverence about speaking on behalf of God, but I don’t think the idea that people can and will make mistakes because they are human is cavalier or lacks reverence. I think that is being realistic and giving needed grace. The examples of false prophesying in the Old Testament, as in Jeremiah, are ones of intentional false prophesying since the false prophets would have already known the Word previously given by the Lord regarding His coming judgment should Israel break her covenant with Him. There is a difference between making mistakes and prophesying something we know directly contradicts God’s Word already given. Not only did the prophets lie to the people about what God was going to do, but they misrepresented God in His character. They did this by essentially asserting that God would not do what He said He would do; they made Him out to be a liar.
I believe it is the unbiblical teaching about prophecy that Holly puts forth that is the root of the problem. Not every Christian is going to have a gift of prophecy, but those who do should be encouraged to exercise that gift in a way that God sees as edifying the church. We cannot teach people to prophecy. It is given by the Holy Spirit and not a skill that is taught. However, I think we can and should teach people wisdom in how to handle times when we think we have heard something from God that either applies to ourselves or to someone else.
I believe this is actually a different question than the original “Should we ‘teach’ children to prophesy?” They are related, to be sure…and I think the answer is the same: if we teach the biblical idea of prophecy as an unearned, undeserved gift and not dangerously force it as a skill and teach it especially in relation to love and humility, as Paul did in his letters to the Romans and the Corinthians, then I think that would be both biblical and responsible.