Final answer:
The nurse manager's effective supervision is illustrated by visiting the patients on the team, allowing for firsthand assessment and real-time problem-solving with direct supervision of nursing staff.
Step-by-step explanation:
Among the activities listed, the nurse manager's effective supervision of an assignment is best illustrated by the option where the nurse manager visits the patients on the team. This direct interaction allows the nurse manager to oversee patient care and ensure that the assignment is being carried out properly. Moreover, it provides an opportunity for the nurse manager to assess the situation firsthand, support the nursing staff, and make necessary adjustments to the care plan. By being present on the floor, the nurse manager is actively involved in the team's dynamics, can monitor direct supervision of a registered nurse, and engage in real-time problem-solving should any issues arise.