I would like to propose an informal side room the mathematics forum maybe called "Mathematics_SideRoom" or "Mathematics_Informal" or "Mathematics_Opinion" or "Mathematics_Discussion" or Mathematics_ChitChat" to fill the gap between the formal Mathematics forum and the Mathematics LiveChat forum. Users that have a question that doesn't quite fit the strict guidelines for the Mathematics forum due to being unable or unwilling to show their attempts at a solution or the question is somewhat subjective, are forced to find and join other websites outside of StackExchange. I understand that this might seem like a duplication of the live chat side forum but it is not. The live chat is a bit too chaotic with questions mixed in with replies to different questions and limited latency with messages disappearing after 2 hours.
The intention is that the sideroom should remain a subclass of the main Mathematics forum so for example, when a user replies to a question or leaves a thread in the sideroom, they are automatically defaulted back the main forum. If their are any reputation points for up and down votes in the sideroom, they should be a small fraction of the reputation points that would be gained in the main forum.
The sideroom is not intended to be a complete chaotic "free for all" Their should still be rules for questions. Eq questions should still be about a mathematical question but the user should not be penalised for a mathematical question not being objective enough or requiring opinion based discussions. Questions like "What is your favorite way of solving quadratic equations?" or "What do you think of this mathematical method or proof?" or "Looking for suggestions on how to improve the mathematical curriculum in my class" would be allowed.