In this series, I’m compiling some of the quips and one-liners that I’ll use with my students to hopefully make my lessons more memorable for them.
To get students comfortable with , I’ll often work through a quick exercise on the powers of :
Students quickly see that the powers of are a cycle of length 4, so that is the same thing as just . So I tell my students:
There’s a technical term for this phenomenon: aye-yai-yai-yai-yai.
See also http://mentalfloss.com/article/52790/where-did-phrase-aye-yai-yai-come for more on the etymology of this phrase.