This last week in class we covered sequences and series. This is a strange unit: It looks little like anything else students have seen, yet mathematically it resonates not only with many things we’ve learned, but with many things we could only dream of ever teaching in a high school class bounded by deadlines and curricular standards.
If you’ve ever counted or made a to-do list or put things in order, you know innately what a sequence is: it is merely a list of numbers, with a specific order: 1 2 3 is a different sequence than 1 3 2. Some sequences seem patternless (sunshine Monday, snowstorm Wednesday, downpours Thursday, a blizzard today) while others are so set in stone we hardly take notice: Sunday always precedes Monday, and April follows March.
Now suppose you look at that to-do list you made and count all the things you’ve got to do (that infinite list that seems to always grow two more items when you knock off the first–how hydraen life tends to be!) then you know, too, how a series differs from a sequence: simply take all the things and add them together. No more complex than that.
But what does any of this have to do with identity or politics?