Overview
The people who are disagreeing with you today aren't being intentionally difficult, so be patient with them. They have new ideas that are worth hearing -- even if they don't quite know how to express those ideas in a way that you can understand. What seems like rudeness could simply be inarticulateness, so be careful about how you react. Ask a lot of questions, and don't end the conversation until you're absolutely sure that you know what they're talking about.
