You may have the same problem I do--convergence insufficiency as well as fixation disparity:
http://www.convergenceinsufficiency.org/
Basically, one eye is particularly dominant and both eyes have a tendency to drift, making tracking properly next to impossible. I often have to cover one eye in movie theaters so I can watch without double vision. My tested vision is 20/15 but I still have to wear glasses for reading and close work because I need a prism in my lens to help refract light on one side and trick my brain into thinking my eyes are working as a team instead of a couple of rogue individualists.
My ophthalmologist told me I will never, ever be able to see "hidden pictures" so I should quit trying. I also find that when I use a microscope, I CANNOT, no matter how well the eye pieces are adjusted, resolve the image from both eye pieces into one image. I have to close one eye and just use monocular vision. I tend to get sick to my stomach even doing this and so I avoid the microscope most of the time.
I am lucky in that UTK used the Virtual Microscope, so our images are on a computer screen. The only way this will affect my career as a veterinarian is it limits me from becoming a clinical pathologist. But I am almost half way through 3rd year, and other than feeling sick and getting a headache in parasitology when I have to use a real microscope, I have not been bothered by it.
You need to ask your eye doctor to test you specifically for a convergence deficiency or tracking problem, because it is not part of a standard eye exam.