I am a soon-to-be high school graduate with inclination towards mathematics. I enjoy doing math, and am relatively good at it, but I dislike the way I am being taught. I feel like I am being taught methods for solving a lot of problems, but I don't see how any of this fits together.
I was considering pursuing a career in mathematics, but I realized I don't really know much about it as a whole as opposed to how to solve specific problems that will appear on some test.
Are there any good books out there about the "math mindset", or whatever it is that it's called?