With just 10 men, the Gunners came from behind twice to claim the home victory over Mings' Villa outfit.
It wasn't the first time Villa have blown a lead this season, and Mings wants to see a different attitude from his teammates.
Speaking after the game, Mings said: "We were good at times but it feels like when we go ahead there is desperation to hold onto the lead rather than going and getting another goal and really being ruthless.
"I don't know what it is at the moment but something needs to change, especially when we go either ahead or have a man advantage. It seems to have the opposite effect.
"We know that we should have done the same things as we did in the first half that got us into the lead.
"The manager didn't really give us a message but we should have been able to troubleshoot on the pitch. We're a pressing team and we like to go and press. We just stopped doing that.
"As a team we need to be a bit braver and go and stop teams higher up the pitch, especially with a man advantage. But we said the same after Tottenham when we appeared to drop off so it's a tough one to take.
"I don't question the group of lads that we've got one bit. There's just certain elements of our game - and when certain things happen - it seems to affect us in a negative way, rather than a positive.
"The mentality we have has got us into the lead on two occasions. It's a natural thing to drop off when we've got a goal, but we need to start doing what we did when we got into the lead in the first place. It's been our downfall."