Shooting through mesh screen (or alternatives)

I want to observe and take photos of whatever wildlife is around when I'm outside; birds mostly, but also other things. Anyway, much of the time I'm on one side of mesh screening and the creature of interest is on the other. From what little I've experimented, binoculars won't give sharp images and the photos are always blurred due to the screening.

How do you work around this to get sharp views and images?

Examples of screen in question are our back porch screening and fixed screen windows in our tent.