To clarify:
TAS has nothing to do with the actual speed of the air over the wings. It's the actual speed of the airplane relative to the freestream air.
Planes generally fly using IAS or Mach. Stall speeds, dive speeds, flap/slat/gear speeds, maximum operating speeds, etc. are all given in IAS or Mach, far as I know.
IAS = Speed the plane thinks it's flying.
TAS = Speed the airspeed indicator would be reporting if it took into account atmospheric air density.
GS = Speed the plane is actually going accounting for wind. which one can get by comparing the TAS against a simple weather forecast. GPS solves the calculating, though.
Forget about Equivilant and Calibrated airspeeds, however, because they are trivial for the most part---except for statistics buffs and engineers.
The best way I had it described to me when I was learning was to think of 2 pitot tubes - one in Denver and one in Miami. The air is more dense in Miami so a plane could travel 100 knots to indicate 100 knots. However, in Denver since the air is less dense the plane has to travel faster to get the same amount of air into the pitot tube to indicate 100 knots. That delta is the TAS. So in the Denver example, the plane would have to travel something like 120 knots true to indicate 100 knots.
To take it a step further - groundspeed / TAS.
Think of swimming in a river. Your a good swimmer and can swim at 4mph. But, you're swimming into a current of 3mph. Your "TAS" is still 4mph and your groundspeed (think if someone was on the shore with a radar gun) is only 1mph.
If you flip it and you're now swimming downstream your TAS is still 4mph but now your groundspeed is 7mph.