Who are to teach?

All Christians

Matthew 28:19-20 

19 Therefore go and make disciples of all nations, baptizing them in the name of the Father and of the Son and of the Holy Spirit,

20 and teaching them to obey everything I have commanded you. And surely I am with you always, to the very end of the age.”

Colossians 3:16  

Let the word of Christ dwell in you richly as you teach and admonish one another with all wisdom, and as you sing psalms, hymns and spiritual songs with gratitude in your hearts to God.

The Holy Spirit

Luke 12:12

For the Holy Spirit will teach you at that time what you should say.”

John 14:26  

But the Counselor, the Holy Spirit, whom the Father will send in my name, will teach you all things and will remind you of everything I have said to you.

1 Corinthians 2:13  

This is what we speak, not in words taught us by human wisdom but in words taught by the Spirit, expressing spiritual truths in spiritual words.

Gifted men

1 Corinthians 12:28-29 

28 And in the church God has appointed first of all apostles, second prophets, third teachers, then workers of miracles, also those having gifts of healing, those able to help others, those with gifts of administration, and those speaking in different kinds of tongues.

29 Are all apostles? Are all prophets? Are all teachers? Do all work miracles?

Ephesians 4:11

It was he, who gave some to be apostles, some to be prophets, some to be evangelists, and some to be pastors and teachers,

1 Timothy 3:2  

Now the overseer must be above reproach, the husband of but one wife, temperate, self-controlled, respectable, hospitable, able to teach,