notphilip
They want to see your thought process as you tackle an unfamiliar problem. Do you think about the input and the end-goals explicitly? Do you consider multiple different ways of solving it, and cover pros/cons? Do you consider where issues may occur, and attempt to mitigate them? That's what they want to see.
I've gotten the gist of these lessons from a software engineering class, HN articles, and from my internship (at the same company), but I'm still not very confident about becoming a great PM. Can you recommend any books or resources that covers more of this kind of stuff?
I'd guess the first company to get a 10" tablet with a good notebook application and stylus for under $300 will be the big winner in the classroom for the long run.
Especially since you can easily screengrab portions of the screen (e.g., a relevant theorem from a pdf) and 'print' anything to any onenote page, it's really clean and easy to get all relevant content in one place. It also makes your handwriting and printouts searchable. I also really like using the webcam to take pictures of whiteboards/lecture slides to annotate on top of (really helpful for 'old school' classes or Professors that don't share their slides).