I'm new to Blender and I ran into a problem, I'm not sure of how to accurately explain my problem. How can I best explain/show the community the issue I'm having to get some help?
Blender is a visual application, words will go a far way but a picture is worth a thousand words or so the saying goes.
The recommended current workflow is to either use as many images as needed to illustrate the issue or to submit the problematic file for inspection.
A well worded question can trump all, provided you describe the steps that are necessary to reproduce your problem or show what you have achieved and where you want to go. The editing text area uses markdown and supports basic html editing so you can highlight your points etc, list any steps and bring your point across as best as you can. If you aren't sure what feature X is or how to explain what a modifier or operation does, just mention that — the chances of someone knowing are high.
Upload image(s) showing the problem(s). See How can I optimize images and screenshots that I embed in my post? for more information regarding this and how you could fit several images neatly in your question without making your post extra long.
At the end of the day, either of these solutions would be good, the ideal solution being a combination of 1 and 2 (for more complex questions). Definitely better than a string of vague words thrown together.
Record a small video/gif of the problem and upload that. Tools you can use are LICEcap or GifCam (preferred), these run natively on Windows but can also be executed on linux under Wine. If the resulting gif exceeds 2MB in size you can upload it to gfycat and then add the link in your post. Otherwise you can use imgur directly from StackExchange as you would with any other image. See How to post gifs on this site? for more detail.
If you are more advanced or have the software readily on hand, Camtasia, CamStudio (free), Open Broadcaster Software (free), Bandicam (free but with watermark), Fraps (free) and recordmydesktop, simplescreenrecorder on linux etc are good for recording your session.
Share your file - people might be working on projects and not want to share their project files, that's fine, but if that's the case, try to recreate the specific problem in another file or edit that scene to isolate the problem. This is usually the fastest way to get help especially if your problem is a localized one, a seasoned Blender user can usually immediately spot whatever the problem is.