From the Editor in Notices of the AMS Vol 43, Issue 10 (October 1996) was an essay on the need for mathematical literacy in the general public, beginning with Nixon’s use of the third derivative.
A beginner’s guide to quadric surfaces (pdf), by me, for my calculus students and intended to supplement the textbook rather than be used as a replacement.
I found the first paragraph of this article on seat belt use to be a great example of awkward statistics writing.
Chapter 23 of The Art of Public Speaking by Carnegie and Esenwein is a thorough exploration of logic in debate.