You can interview experts that have had similar problems and find out the things they have tried. You might also discuss the problem with other teachers you work with and find out if they are having similar issues. How have they handled it? Watch relevant videos and/or explore literature to find out if any information exists about the problem you are dealing with. You might choose to gather information by doing background surveys. Search the Internet to find out information that is available in the area you wish to explore. Read book chapters, articles, research journals, and reports.
After you have explored your topic and gained enough knowledge to feel comfortable to move forward, you should begin to brainstorm.