For a new player yes. For an experienced player like me probably not, because frankly I know a lot more about my character's abilities than he does.It depends. Would the DM remind the player of an ability they missed or forgot to use?
If so, then absolutely, the players should be good sports and remind them.
If not, then you are playing by rougher rules and it's every side for itself.
As a DM one problem I have found is playing monsters to the best you can, particularly when they are complicated monsters with lots of options. I find I forget things often, I gameplan and it turns out my plans are not that good a way to fight them because of something I did not think about.