You disagree with someone's beliefs
You want to hear someone else's opinion
You want to bring up sources or evidence
You are not well informed on the issue
You agree with and want to add on to what someone has said.
You need clarification
You want to share your opinion with someone who disagrees
"What do you think about this?"
"I don't understand what you mean by that, would you explain it again?"
"According too..."
"I view the issue more like this..."
"I see what you are saying but have you thought about it like this?"
"I agree, in addition to your point..."
"I'm not well aware of this issue, can you share some information?"