There is a possibility that this needs more background. Here is an alternative...
Although they appreciated art better, the more they learned about it....the better it got.
Please always supply as much detail as possible.
What's the meaning of this sentence?
Although they appreciated art better the more they learned about it....
Visitors to the exhibition found a surprising collection of works of art whose overall effect is thoughtful and mysterious. The Tate management found that their original intention in involving young people-to draw more of them into the gallery- is going to take a lot more than one exhibition. And teenagers found that, although they appreciated art better the more they learned about it, there is still a gulf between them and the world of the art gallery.
It means that their appreciation of art increased to the same degree that their knowlege of art increased. They learned more about art and so they appreciated it more. More learning = more appreciation.
"Better the more" is not a phrase, it is the end of one phrase and the beginning of the the next. Panjandrum suggested changing the order of the sentence. Here is how that would work: Although the more they learned about it, the more they appreciated art.
Good, that's just a little bit like the version I inventedThat's is the whole paragraph
Good, that's just a little bit like the version I invented
Are you OK on the meaning?
Here is my earlier paraphrase plugged into your context.
And teenagers found that, although learning more about art helped them to appreciate it better, there is still a gulf between them and the world of the art gallery.
Huge sigh of relief.Understood
Huge sigh of relief.
The little dots at the end were a clear message to some of us.
If I may be allowed a small comment in support of our "Give us context" campaign, if you had posted the paragraph at the beginning, lots of wild geese would have been saved from a lot of distress