My coach provides us with a binder, calendar pages, and a blank chart. We can record how we like, but most of us do it similarly. For example, one column lists jumps we're working on (axel, dbl sal, lutz, etc). We record attempts, clean landings, etc. Spins we record how many we work on, how many revs in x position, and that sort of thing. I personally use the calendar to show what I worked on (MITF, Dance, FS, Artistic) each day, and how many program run-throughs I've done. When I was first learning my MITF, it got down to how many turns I successfully completed, until I could actually do the whole move!
You could definitely do a blank spreadsheet and bring it with you, or a notebook to chart what you're working on.