When I was little, I sang Jesus Loves Me with the faith of a child. As I got older I stopped singing it since it was such a "kid song". When I had children, I sang it to them, still thinking it was a "kid song", but knowing that it was a song they needed to learn as part of our faith.
Now that I am older, I have changed my view on Jesus Loves Me. I think it is the most profound theological song I have ever heard. The simple message of Jesus loving me, the chief of sinners, is astounding and the fact that I don't have to know anything except that I know that Jesus loves me because the Bible says so...remarkable!