What makes a great team player?

Numerous people say in their CV that they are great at working agreeably or are team players. However, few say what this implies. Consider cases from your past that show your capacity to build bridges, shape networks or get on with individuals. This needn't be from your professional life. You could refer to any cases from clubs or associations to which you have a place. Answering this particular question well is particularly important for people who need to be team leaders or to deal with a department.