You are and you can! Mathematicians often do a poor job motivating what they're doing, which creates most of the confusion. There are great examples and intuitive concepts behind most of higher math. Many mid-level mathematicians are either unaware or reluctant to admit to what a great extent their intuition and heuristic understanding informs the more rigorous treatment. There is more to it than the examples, but the examples lead you naturally to the more general case.