I teach C. It's an increasingly terrible way of learning "how a computer works". You would be much better off learning a little assembler.

The problem is most of the pain of learning C comes from undefined behaviour, which isn't how "computers work". The fact that depending on optimisation level writing past the end of an array might write to memory, or might not, is (mostly) a unique feature of C. Similarly sometimes a signed integer will overflow "cleanly", but then sometimes undefined behaviour will kick in and you'll get weird results. This (ironically) makes checking for overflow when adding integers in C annoyingly complicated.

With assembler if you write through a pointer, you write to that memory location, regardless of if you "should" be right now. You do multiplication or addition and you get well-defined 2s-complement wrap-around.