I think the hardest part of coming up with a compelling science fair idea is creating something that means a lot to you, is complex enough to perform highly in a competition, is doable, and is relevant to society. From my experience, the best way to do this is to FIRST come up with a problem. This could literally be anything, even if you think it isn't a problem which your interests could easily cater to. Just start brainstorming, from the world's biggest problems to slight problems which could have major repercussions. Once you have your problem, do research into the problem, clicking on official papers online. Then, hop from link to link like a "wikipedia speed run", specifically searching for things that your interests could provide remediation for. By the end of this, you should have an extremely narrow focus and a very, VERY specific part of the problem that you are fighting against. Finally, research into current possible solutions that have been promoted against the specific problem, and figure out which one of them best ties back to your interests. For example, if you like math and the problem that you have relates to energy conservation, then see if you can model some aspect of the problem using math or frame your solutions mathematically. From here, you can come up with your idea and experiment! Let me know if you guys have any other ideas surrounding coming up with an idea. Hope this helps!

Math research is different than other topics, in that you can not just go to a lab or something like that. I have not jet heard of anyone who has published pure math research (so no ai ml or physics). Does anyone have any advice? THX in advance

Hello! My name is Aryan, and I am a rising Junior from Southern California. I love math and science, and am an aspiring mathematician in the near future. I have independent research that I have co-written and plan on publishing, and would love to network and work on any projects with other aspiring STEM students in the near future concerning math, science, data science, etc.

There is a lot of hype around dual enrollment. Be it over the summer or during the school year, in-person or online, from a local community college or a reputed university, there are so many options for enhancing your college application by taking extra courses. Yet, to what extent is it worth it, and how does one know which courses to take? Clearly the course must be something about a topic that you are passionate about, but that still only narrows it down to at least half a dozen courses and options. Also what are your guys' thoughts on courses like EDX and Harvard University courses? The free aspect of them is clearly appealing, but what about certification? Is it worth it? I believe this falls under the category of dual-enrollment over the summer.

Hi, my name is Noah and I LOVE math. I have already participated in many math contests and have won some prices on a national level in Germany. I have also taken some university courses in real Analysis and have even written some decent grades in the finals. Feel free to contact me if you want to talk and I am looking forward to talking to you.