Why is angle of attack information not displayed in the cockpit? Would not it be useful to have the angle of attack information displayed on the flight display? I know that we have shakers that alert pilot when the critical AOA is exceeded, but still we have cases of pilots stalling the aircraft (sometimes stalling one wing more than other).
I am sure designers have considered this but not chose to display AOA. I am curious what the reason could be.
Many aircraft do include them, because it's very useful.

For example a modern 737:



A Garmin G1000 (one of the more common General Aviation glass cockpits):

 

Specifically the part that looks a bit like this



And a more traditional analog/mechanical gauge:



The problem is that usually when someone stalls, it's because they've made a mistake - not because they can't see the AoA. Either they're disorientated, or they've made a mistake with airspeed or an obstacle and are exceeding the aircraft's performance envelope.

Typically, the lack of an AoA dial isn't the reason you stall.