There are a lot of wrong lift theories out there. Some of which are half wrong with half of Bernoulli's mixed in.
I got through my PPL thinking I fully understand how lift is made, it wasn't until I got to my ATPLs that I realised I was wrong. To help me fully understand the correct version, I first had to understand why the wrong theories were indeed wrong.
NASA has put together the incorrect theories and why they are wrong.
Incorrect Lift Theory
Incorrect Lift Theory
Incorrect Lift Theory
The first one is the one most people think is correct.
Also I believe the theory of blowing between 2 pieces of paper is also incorrect. Some guy from NASA put a video on Youtube saying that if you try the paper demonstration but hang the paper vertically the paper doesn't move. If you hang it horizontally it does move. This is why the paper thing is wrong. The reason the air moves the paper when it's horizontal is because the papers resistance to being blown on lifts the paper up.
I haven't finished studying POF so I might have misunderstood this video, but I think the general idea was that it doesn't support Bernoulli's.