Binding clutch plates

Has anybody ever had a problem with their clutch plates binding up (at least I think that is what is happening, I don't really know what I'm talking about)? This usually happens if I shift in to first while stopped. Sometimes it feels like my clutch plates are binding because I can feel the bike pulling forward even when I have the clutch in. Additionally, shifting is a bit stiffer until I shift through all the gears, at which point everything is normal again.