The mindset of a player who wants to contribute to a team's success is much different than a selfish player that is just looking to be a start and standout.
The following comes from "On Managing Yourself" which is a book sponsored by the Harvard Business Review. This particular passage comes from the great Peter Drucker who believes we must start with the first essential question:
What should my contribution be?
To answer it, they must address three distinct elements:
#1 What does the situation require?
#2 Given my strengths, my way of performing, and my values, how can I make the greatest contribution to what needs to be done?
#3 And finally, what results have to be achieved to make a difference.
Drucker's questions seem quite simple but it takes a truly honest, self-evaluating team player to ask these questions. Then it takes a committed, team-oriented player to go about doing the work necessary to create the contribution that he/she wants to truly make.