After $bigint years, I *still* find it difficult to make a good 2-hour final for a calculus class. I think I end up with decent ones, but I spend unconscionable amounts of time designing, balancing, trimming, simplifying, ordering, usf, usw.

I took a look around to see what tips & tricks I could steal for composing good calculus tests, and there's either very little on the web, or it's just too hard to find because it's buried by tips on *taking* (mostly standardized) calculus tests.

https://sites.math.washington.edu/~reu/papers/2010/mark/Unsolved_Problems_In_Intuitive_Geometry.pdf

p45 of the PDF asserts: "there are many transformations of [the real number line] onto itself which preserve some distances and not others. (Move all the integer points one unit to the right, the others one unit to the left – only the integral distances are preserved."

This seems flat-out wrong – am I missing something? If it is as wrong as it seems, can anyone figure out what the author(s) might have been thinking?

https://www.youtube.com/watch?v=7EHB3ty-A_M

https://content.sciendo.com/view/journals/rmm/6/11/article-p35.xml

For my 100th toot, I have a new puzzle page to introduce: "Port-and-Sweep Solitaire!" I wrote about it previously for Math Horizons, but it's so much better experienced in an interactive format:

http://homepages.gac.edu/~jsiehler/games/PaSS/passPage1.html

Check the bottom of the page for further links.

Herzlich Willkommen in Minnesota!

Joined Jan 2019