Sounds like one or both of the following two things.
1) Pressure. Don't use ANY at all! Let the weight of the razor do all the work. Find the centre balance point of the razor and hold it at that place as you shave.
2) Overshaving. If there's no lather on your face, the blade shouldn't touch it. So if you feel you need to go over a certain patch again, pick up your brush and apply some more lather.
If you're used to using a Mach3 or similar cartridge razor, you'll probably find that you normally do both the above, both apply lots of pressure and overshave the same spot multiple times. Don't do either and you'll be absolutely fine.