This page features tips for your paper, which is (generally) associated with your overall presentation.
The best way to understand mathematics is to learn and discover it on one's own.
The best way to describe this paper is to imagine that you are responsible for creating a "Mathematical Idea You Really Need to Know" (this is a reference to a book by the title 50 Mathematical Ideas You Really Need to Know, by Tony Crilly, full of four-page descriptions of some 50 mathematical topics. (You can skim a copy in the Math Office, found among the Course Textbooks; or arrange to have a look at a copy when I am on campus; you'll also notice that they're available for a few bucks, if you just want to get one and use it as a resource.)
Typically I ask students to do this as a separate exercise: You will select a mathematical topic outside of (or beyond) those covered in our class, seeking help (if necessary) to gain the necessary background to understand it, and then write up a four-page description.
This year I had you write up responses to presentations you'd seen made at the KYMAA.
Since many of you did not "attend" the KYMAA, you will need to put the spotlight on some piece of mathematics, perhaps using the format described above. Those of you who did attend may want to put the spotlight on some other piece of mathematics. Again, using the format above would be fine.
Your peers will evaluate your work (as will I, and perhaps other members of the department). We'll present our work to each other on the wiki. There will be no live presentation.