[2 Tim 4:2]:

(v. 2) "Preach the Word; be prepared in season and out of season; correct, rebuke and encourage - with great patience and careful instruction.

["preach' = "kEruxon" = proclaim, announce openly.

"instruction" = "didachE".

Notice that preaching the Word involves 'careful instruction', i.e., teaching]

(v. 3a) For the time will come when men will not put up with sound doctrine."

["doctrine" = "didaskalias" = instruction, doctrine.

Notice that the main subject, Paul's command to Timothy to 'preach the Word' in verse 2 has in view the dissemination of sound doctrine, i.e., teaching the doctrines of the Bible and not just preaching of the gospel of salvation]

[Acts 17:16-21]:

(v. 16) "While Paul was waiting for them [Silas and Timothy, (v. 15)] in Athens, he was greatly distressed to see that the city was full of idols.

(v. 17) So he reasoned in the synagogue with the Jews and God-fearing Greeks, as well as in the marketplace day by day with those who happened to be there.

["he reasoned" = "dielegeto" = discoursed, argued, reasoned, i.e., Paul was in a teaching mode not a preaching mode which is almost always unilateral and certainly not in a debate mode. And Paul taught unbelievers as well as believers, Jews and Gentiles alike both in the synagogue and in the marketplace 'with those who happened to be there']

(v. 18) A group of Epicurean and Stoic philosophers began to dispute with him.

[Notice that this is not normally a preaching mode where one enters into a debate with listeners]

Some of them asked, 'What is this babbler trying to say?' Others remarked, 'He seems to be advocating foreign gods.' They said this because Paul was preaching the good news about Jesus

["preaching" = "euEggelizeto" = proclaiming good tidings

Evidently Paul was teaching and preaching]

(v. 19) "Then they [a group of Epicurean and Stoci pagan philosophers, (v. 18)] took him [Paul] and brought him to a meeting of the Areopagus, where they said to him, 'May we know what this new teaching is that you are presenting?

["teaching" = "didachE". Notice that there is some doctrinal instruction going on here to believers and unbelievers, Jew and Gentile alike as well as preaching]

(v. 20) You are bringing some strange ideas to our ears, and we want to know what they mean.'

(v. 21) (All the Athenians and the foreigners who lived there spent their time doing nothing but talking about and listening to the latest ideas.)

[Thereupon Paul, focusing on the altar of the unknown god, (vv. 22-23); proceeded to instruct not preach to the unbelieving pagans re: the doctrine of one sovereign and creator God Who does not live in temples and needs no help from mankind, (vv. 24-25); the creation of the human race through one man and His sovereign rule over them, (v. 26); God's purpose that man should seek to know Him for mankind is as His children, (vv. 26-28); that He is not an idol made by man, (v. 29); that God 'commands all people everywhere to repent' for there indeed will be a judgment day at which time there will be a resurrection from the dead just as the unknown God [Jesus Christ] was raised from the dead, (vv. 30-31).

The result of this was that many rejected what Paul taught and preached but some believed and were saved. Notice that Paul started at a point of familiar reference: the altar of the unknown god and began instructing from that frame of reference which led into the preaching of the gospel]

[Acts 15:35]:

"But Paul and Barnabas remained in Antioch, where they and many others taught and preached the word of the Lord."

["teaching" = "didaskontes"

"preaching" = euaggelizomenoies"

"the word of the Lord" = the doctrines of the Word of God is in view here not just the gospel.

Notice that the teaching and preaching of the word of the Lord was done to the church at Antioch, i.e., to believers, (v. 30)]