I see the role of a teacher as someone who helps you learn, rather than someone who only teaches you things.
If a student finds a particular method or approach easier to comprehend, shouldn't the teacher adapt to that rather than forcing you to use the "correct" method?
If a teacher is dogmatic in their approach, I would call that poor teaching.
your school leaving exams or next school will probably not care
and they will test whatever they want, so why take a risk?
you can be challenged by a task which is doable in both methods, but "recommened" approach needs 3min in order to get this done,
meanwhile your's solution needs 15min. I mean here that standarized tests aren't some kind of trickery, they just tend to test how many various approaches do you know.
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also how many times can it be done? (deciding that it's ok to use other/easier method instead of "state of art" solution) once? twice? thrice? very often?
There are many situations where there are multiple approaches to a problem and none of them are more "correct" than the other ones.
> but "recommened" approach needs 3min in order to get this done, meanwhile your's solution needs 15min
The point is that what if the recommended approach takes someone 15min, and a different approach that they understand better takes 3min.
his job is mainly to teach you stuff.
Of course there are also tests where you can use anything you want as long as it is formally correct e.g leaving school exams, end of semester exams and many more...
It's not the greatest approach but I guess it scales?