That we realize it or not we all have our own style in doing.
What says Richard Skemp we can help a lot to understand our style.
He distinguishes instrumental mathematics relational mathematics.
The instrumental mathematics is based on

formulas

to remember

exercises

products
it requires less knowledge, it is easier, its results are more immediate
The mathematical relationship is based on

reasonings

to think

problems

process
it is better suited to new tasks, it is easier to remember, it is more effective
I'm very much agree with this, and I also say that mathematics can and should also be participate, walking, experienced actively rather than passively listened to and absorbed