I like to use conversations about simple arithmetic to illustrate some interesting behaviors. Math as metaphor: does it make sense to you?
2+2=3? Or 2+2=5? Which untruth do you prefer?
Is 3+1 somehow better than 1+3? Don’t they both add up to four?
Got a problem with 8? Why?
Do I stand corrected? Or do I step right over new information?
Answers, observations, demonstrations, and other related thoughts at my “math as metaphor” page …