A team of cognitive scientists wants to identify the specific brain areas that are most active when a person is engaged in creative problem-solving versus routine, step-by-step problem-solving. They have access to a group of healthy adult volunteers and want to observe brain function as it happens during these tasks. The team is considering two primary approaches:

1. Studying the problem-solving abilities of patients who have pre-existing damage to different parts of their brains.
2. Using a technology that can observe and map activity across the entire brain in their healthy volunteers as they perform the tasks.

Evaluate these two approaches. Which one is better suited to the team's specific research goal, and why? In your answer, explain the key advantage of your chosen method and a significant limitation of the rejected method for this particular study.