In actual fact, the Moon is slightly larger when it is directly overhead (~1.5% as it is closer by the radius of the Earth).
When you see a large Moon rising, put your hand out and you should be able to blot out the whole thing with one finger (close one eye). Come out several hours later when the Moon appears smaller and do the same thing. You will still only cover the Moon with the same finger, showing that it is the same size. I haven't tried this, but they say if you bend over and look at the rising Moon between your legs, it removes this size perception and the Moon no longer looks "large"...just don't do this where you can be seen by other people
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