The problem is, these tools always feel like they should be "the way" it's taught. I feel complex numbers should be taught as a special case of geometric algebr

The problem is, these tools always feel like they should be "the way" it's taught. I feel complex numbers should be taught as a special case of geometric algebra, though I suspect that would make things much more difficult. My understanding is that lots of university level maths _is_ taught like this: start from the most general case.