The Stack Exchange Terms of Service expressly forbid using the service for illegal activity. These two sentences seem particularly relevant:
Any fraudulent, abusive, or otherwise illegal activity or any use of the Services or Content in violation of this Agreement may be grounds for termination of Subscriber’s right to Services or to access the Network. [......
I think that there would be no problem discussing it, but you should probably avoid posting anything substantive of the material itself. As mentioned by alexwlchan, it's still copyrighted material, so we could at best post excerpts or low-quality images, and only for constructive discussion.
I think what you're looking for is the ability to use some of the site's designs and pictures for your school project.
If this is correct; then you are not allowed to use them. Unless you ask them specifically first and they tell you it's ok.
However, I Am Not A Lawyer.
Trademark and Copyright
You see, the site's logo(s), name and design(s) are a ...
Quoth the footer of the site:
user contributions licensed under cc by-sa 3.0 with attribution required
So yes, assuming you're talking about a post someone put in one of our questions or answers (and they had the right to put it there in the first place), then it's totally okay for you to use it elsewhere, as long as you give proper attribution. Those ...