The Pillow Method is a five-step process for resolving conflicts that focuses on developing empathy. The steps include: 1) considering you are right and the other party is wrong, 2) taking the opposite view that you are wrong and they are right, 3) finding commonalities and acknowledging strengths and weaknesses of both positions, 4) recognizing the issue may not be as important as initially thought, and 5) understanding there is truth in all perspectives that can lead to better understanding even if not agreement.