This used to happen to me, and I thought it was too gross to tell anybody about. Then I observed my dental hygienist sister reach in and remove some sloughed skin from her own mouth, so I asked her what caused that. She said it was the whitener in today's toothpastes. I think it was a Crest product that did it to me.
The inside of our mouth is just like the skin on the rest of our body. We shed old cells constantly which are replaced by new ones. When we brush our teeth, we can often dislodge a "flurry" of old cells, just like if we rub the skin on our arms vigorusly...........we can see the old cells sloughing off. Do you think that might be what you're seeing, or when you say "peeling," do you mean longer strands of skin are coming off?
Is there pain or bleeding associated with this? Is your mouth sore?
Because I am not a dentist, I obviously can't diagnose what's going on, and I do strongly recommend you see your dentist about this. But before you make the appt. (IF and ONLY IF there is no pain or bleeding) I would suggest you try using a mild PRE rinse and try a different toothpaste. Perhaps just more of a "basic" paste rather than one which promises to overhaul your entire dental system. You could be having a reaction to something in the brand of paste you're using. Some of the newer toothpastes on the market are very strong, especially the whitening brands. Many of them contain peroxide and that may be the problem? But, the bottom line is that only your dentist is going to be able to tell you for sure what is going on.
Make the appt. Your dental health is important to far more than just your teeth.
Hope you'll let us know what they say.
Peace
Greenlydia