Math SE has a long-standing policy regarding what constitutes a Good Question. The policy is intended to ensure that the collection of questions and answers here is of high quality, is searchable, and is generally of use as a long-lasting reference.
Historically, we have tried to deal with low-quality questions by closing them and encouraging the asker to add appropriate details and context. Unfortunately, it often takes longer to close a question than it does for one or more users to rapidly post an answer. In addition to making it more difficult to clean up low-quality questions, these kinds of answers reward users for their low-quality contributions, and encourage further low-quality contributions in the future. While these answers might help the individual asker, they are not good for the site as a whole.
Strictly speaking, such answers are already in violation of Math SE's policies regarding quality, but enforcement of this policy by the moderators has been relatively lax—we typically prefer to remain more hands off, and let the community moderate itself. However, this problem has grown, and it seems that the laissez-faire approach is not working.
In order to address this dynamic, we will be taking a more active role in moderating the actions of users who post a large number of moderate- to low-quality answers in response to low-quality and/or duplicate questions. Our goal is to do this in a fair and transparent manner. If we find that a user has a tendency to make low-quality contributions, i.e. if we discover that a user answers a lot of "problem statement questions" with hastily written answers, we will warn that user via private message before we take any further action.
We recognize that this looks like a shift in policy, and that some folk may be a little worried. Let me again emphasize that it has always been against Math SE policy to answer low-quality questions, and that our increased enforcement is not a change in policy, only a change in procedure. Let me also reassure all of you that we are not looking to punish anybody, and that we have no intention of sanctioning anyone without first trying to discuss the issue with them.
We would like to ask that the community help us to spread the word regarding our stepped-up enforcement of this long-standing policy. We would also like to ask that the community help us to maintain quality standards. You can help by taking the following concrete actions:
Encourage New Users to Improve Their Posts
If you encounter a low-quality question, don't answer it immediately. Instead, direct the user to the meta post How to Ask a Good Question. Help them to understand what the standards are on this site, and consider offering advice on how they might improve their question. Make it clear that there are expectations for participation in this community, but always remain polite.
Search for Duplicates
Many of the low-quality questions which appear on this site have been answered before, or are a minor variation of some question which has been answered before. Take a few minutes to find potential duplicate questions and, if you find a good candidate, flag the question as a duplicate. This will help to organize the database, and should help the asker find the answer they need. If you find the answers to the duplicate target to be lacking, please feel free to add a new answer to the older question, rather than answering the newer duplicate.
In addition to the built-in searchbar (which has some more powerful options), you may also want to consider using the advice given in the question How to search on this site?. The math-aware search engine approach0 may also be useful.
Spread the Word
If you encounter users answering low-quality questions, please don't argue or fight with them. Politely direct them to this post, and move on. Only a small fraction of the user-base actively engages with meta, and so it is quite likely that many of these users don't even know that they are violating site policy, or that there has been an on-going debate regarding those policies.
Keep interactions Civil
Please keep all interactions on Math SE civil.
When engaging with users (old or new) who have posted (or answered) a low-quality question, remember to remain polite and courteous. Please do not issue unpleasant orders or leave judgemental comments: we will not tolerate rudeness, even when in the context of a honest attempt to improve the quality of the site. Please do not engage in long back-and-forths with other users. If a gentle, polite comment does not change someone's mind, please leave a flag and walk away.
If you encounter a user who consistently answers low-quality questions over a significant period of time, and polite references to this post do not seem to be helping, please raise a flag on one of their answers. Use the "in need of moderator intervention" option and let us know what is happening. Again, please do not argue with them about the quality of their contributions, nor downvote their answers in a targeted manner. Raise a flag, and move on.