There are three streams of teaching infered in the epistles’ narrative. These in no particular order include.
1. A MINISTRY
Ephesians 4:11 KJV
And he gave some, apostles; and some, prophets; and some, evangelists; and some, pastors and teachers;Here we see a stream of teaching as a ministry gift. And in this text, it is interwoven into the ministry gift called pastor, showing a slant in the later’s grace and authority. The same is referred in the following.
1 Corinthians 12:28-29 KJV
And God hath set some in the church, first apostles, secondarily prophets, thirdly teachers, after that miracles, then gifts of healings, helps, governments, diversities of tongues.  Are all apostles? are all prophets? are all teachers? are all workers of miracles?The phrase “are all teachers’ Here emphatically implied that not all are in this particular teaching stream, even though all may teach.
Acts 13:1 KJV
Now there were in the church that was at Antioch certain prophets and teachers; as Barnabas, and Simeon that was called Niger, and Lucius of Cyrene, and Manaen, which had been brought up with Herod the tetrarch, and Saul.
1 Timothy 2:5-7 KJV
For there is one God, and one mediator between God and men, the man Christ Jesus;  Who gave himself a ransom for all, to be testified in due time.  Whereunto I am ordained a preacher, and an apostle, (I speak the truth in Christ, and lie not;) a teacher of the Gentiles in faith and verity.
Hence there is a teaching stream that is a ministry gift of MEN called TEACHERS.
2. A GIFT TO TEACH
Romans 12:6-8 KJV
Having then gifts differing according to the grace that is given to us, whether prophecy, let us prophesy according to the proportion of faith;  Or ministry, let us wait on our ministering: or he that teacheth, on teaching;  Or he that exhorteth, on exhortation: he that giveth, let him do it with simplicity; he that ruleth, with diligence; he that sheweth mercy, with cheerfulness.
The word gift here is from the Greek ‘charisma’, and in context speaks of an endowment. That is, the gift to teach. Now the gift to teach does not make one a teacher as much as the gift of prophecy does not make one a prophet. Thus we see a stream of teaching in a gift to teach.
3. APT TO TEACH
1 Timothy 3:2 KJV
A bishop then must be blameless, the husband of one wife, vigilant, sober, of good behaviour, given to hospitality, apt to teach;
2 Timothy 2:24 KJV
And the servant of the Lord must not strive; but be gentle unto all men , apt to teach, patient,
The word ‘apt’ here has no Greek rendering. In context it means the ability and skill to teach. This is not a special spiritual endowment as much as the other qualifications listed alongside are not. See it again.
1 Timothy 3:1-4 KJV
This is a true saying, If a man desire the office of a bishop, he desireth a good work.  A bishop then must be blameless, the husband of one wife, vigilant, sober, of good behaviour, given to hospitality, apt to teach;  Not given to wine, no striker, not greedy of filthy lucre; but patient, not a brawler, not covetous;  One that ruleth well his own house, having his children in subjection with all gravity;
We see that the context is the qualification the man who desires the office of a bishop must have, and none is a spiritual endowment. Hence the apt to teach is a naturally or professionally developed skill set to teach.Hence, any teaching is from one or more of these streams of teaching.
That said. Now, the aim of teaching is to simplify the truth, and in doing so, error is exposed.The Spirit of the New Testament is the Spirit of truth. Hence the spirit of teaching in Christ is not about error but the truth. It is not about exposing or explaining error, but about making the truth simple to see and understand. When the teacher does this to the truth, error stand alone exposed. This is what is called clarity. This is what a true teacher demonstrates. A teacher who is all about error is in error with the teaching ability. His priority set needs improvement or adjustment as much as his truth relational compass.
It removes indistinctness or ambiguity from the truth.It is not the same as details though may involve it. Clarity is in the grace of teaching. It is demonstrated in explanation. Its goal is the truth made easy to see.
The threesome of complexities, ambiguity and confusion; witnessed by weariness in the comprehension of a teaching(verbal or written) is an indicator of the absence of clarity. When clarity is in a teaching, and tempered with grace, the heart of the recipients burn with enthusiasm for truth, their eyes glits, and their comprehension of the truth is hightened.
Luke 24:25-27,32 KJV
Then he said unto them, O fools, and slow of heart to believe all that the prophets have spoken:  Ought not Christ to have suffered these things, and to enter into his glory?  And beginning at Moses and all the prophets, he expounded unto them in all the scriptures the things concerning himself.  And they said one to another, Did not our heart burn within us, while he talked with us by the way, and while he opened to us the scriptures? Then opened he their understanding, that they might understand the scriptures,
Jesus was a great teacher. Clarity was always at home in His teaching.Clarity is the blessing of the teacher. Hence, it is that which seperate teachers from teachers. Clarity can be a manifestation of grace, but it can be received and developed by study and the receipt of the teaching ministry that has it.Clarity must be every minister’s quest. It is a cardinal impact determinant of all who labour in the word. Hence, whether we teach from the ministry gift, the gift or apt to teach, clarity in increasing measure must be our prayers. Much more clarity we pray; Amen. God has blessed you.