I would really never ask a question about resources, noting that it is a soft-question, unless I thought it was very difficult to find elsewhere, and I have looked. Furthermore, I believe that this is a useful question that may benefit other users as well.
Is there a resource which explains low-level maths using complex concepts?
What I am asking for is a resource which returns to old, elementary-level concepts such as arithmetic and describes it using all of the complex jargon, working its way up to the calculus level. This would allow a student to work through and say "oh, that's the tie between this basic idea and this abstract way to look at it". For example, some of the revelations I've had:
- Math is actually about patterns, not numbers (8th grade)
- Not all variables need to be one letter in length (9th grade)
- Oh, and units are actually just variables, too (11th grade, believe it or not)
- Lines are really visuals of a set of numbers which satisfy the function (12th grade)
- Slopes are the gradients of a function (12th grade)
I believe there shouldn't be any revelations in math, because it should (ideally) be obvious from the beginning. These are the reasons why it's good to have a resource without generalizations or over-simplification. That's why I'm asking for a resource like this.