Let's say you have a lamp behind your screen. The light will be visible on your screen in some way.
With a reflective screen, you'll see a reflection of lamp, bright and clear. I think everybody agrees that this is annoying.
With matte screen, the reflection isn't strong or clear, but a larger portion of the screen is affected, since the matte layer scatters the light.
With a anti-reflective but non-matte screen, you'll see a 1:1 reflection - but only very very dim.
In my experience across the Lenovo matte screens, and comparing it to MacBook screens, I found the latter to work better.
There's a significant difference between the MacBook and cheapo reflective screens.
