So I'm playing the Build tutorial in the scenarios and I can't for the life of me seem to wrap my head around. When I set a unit to move it says it will in the next turn but they never seem to. Even more frustrating is the formers seem to be perpetually building either a mine or farm when I ask them too. It simply says turns to complete 6 and just hangs there. Is there something I'm missing?

Well that's weird. I haven't played the tutorial (I'm familiar with most Sid Meier's games) but I have two ideas of what might be wrong. Firstly, when you order your unit to move into a terrain that requires more movement points than your unit currently has, it stops that unit from moving without warning. Turns change without much of a noice as well.
Secondly, if you're clicking on a unit to see how they're doing you might accidentally clear their orders. There is an option somewhere to auto-clear orders on click, maybe you have it enabled?
I hope I helped :)