Faces without black dots Why do some faces in Edit mode when I have Faces selected do some of the faces not have black dots? When I try to subdivide those, it doesn't work properly (all that happens is the black dots of neighboring faces move closer to the selected face).

On further investigation, I found that the faces ended up facing inwards instead of outwards. Is there a way of easily fixing that?

Here's what is happening:
The Face dot it drawn at the geometric center of the vertices that make up the face. If you are using Ngons you may not see it actually anywhere inside of the face. 



Another possibility is that you face dots are too small. To increase the size you can go to the theme setting in the preferences.



As you can see here the Ngons are not subdividing.