What tongues was Paul teaching about to Corinth and what did he mean when he said although I speak the language of angels
He was using hyperbole. Remember in that passage the point was about the supremacy of love, about how even if you can do all these amazing things, and lack love, you have nothing. Context is important.
" If I speak in the tongues of men and of angels, but have not love, I am a noisy gong or a clanging cymbal. And if I have prophetic powers, and understand all mysteries and all knowledge, and if I have all faith, so as to remove mountains, but have not love, I am nothing. If I give away all I have, and if I deliver up my body to be burned, but have not love, I gain nothing."
- 1 Corinthians 13:1-3
The use of hyperbole is evident in the multiple uses of extremes to make a point.
Tongues was a Holy Spirit given spiritual gift in the Apostolic era, but scripture clearly describes it as the speaking of languages unknown to the speaker; not babbling.
"And they were all filled with the Holy Spirit and began to speak in other tongues as the Spirit gave them utterance. Now there were dwelling in Jerusalem Jews, devout men from every nation under heaven. And at this sound the multitude came together, and they were bewildered, because each one was hearing them speak in his own language. And they were amazed and astonished, saying, Are not all these who are speaking Galileans? And how is it that we hear, each of us in his own native language?"
- Acts 2:4-8
If you read the whole of 1 Corinthians 14, where Paul talks in detail about the gift of tongues, it is clear that Paul is rebuking the Corinthians for using their gift of tongues in a way that doesn't build up the church. He asks what good it is if you speak a language no one understands and you don't interpret it; no one is built up except the speaker.
"So with yourselves, if with your tongue you utter speech that is not intelligible, how will anyone know what is said? For you will be speaking into the air. There are doubtless many different languages in the world, and none is without meaning, but if I do not know the meaning of the language, I will be a foreigner to the speaker and the speaker a foreigner to me. So with yourselves, since you are eager for manifestations of the Spirit, strive to excel in building up the church."
- 1 Corinthians 4:9-12
In this passage it is clear that Paul is referring to tongues as languages that are in the world, not some "angelic" language that is not mentioned anywhere in scripture, except in one instance as hyperbole along other examples. He goes on later in the chapter to admonish the Corinthians to always have someone to interpret the languages.
Honestly, I am open to the Pentecostal idea of tongues, but I can find no evidence of it from scripture. All I see in the bible is the gift of tongues as an Apostolic gift that allowed the earliest church to speak multiple human languages other than their own, as the spirit gave them utterance. However if you can prove from scripture that the modern day speaking in tongues is the same as that of the Apostolic era, please post those verses. I can't find anything in scripture that validates the babbling characteristic of the Pentecostals.
Now like I said I am not a complete cessassionist. I think tongues ceased early on, but other gifts remain. Certainly divine healing can and does happen. I am even open to some prophecies, David Wilkerson's prophecy in particular is rather compelling. However, with any claimed gift of the spirit, we must test it by scripture. The bible is the word of God, and it is the measure of everything in the Christian life. So if you'd like to make a case for your view of tongues, please do so.
