Hi Robin:
In one philosophical sense, if we could determine a student learned the material, I believe we wouldn't even need to test.
More to this post, student centered really is a simple idea that suggests that, as teachers, we approach how best to teach the student the needed material in creative ways, even if that differs somewhat from the established curriculum.
It's been said that "We haven't taught if the student hasn't learned". So, we may access to a wonderful curriculum, but if it misses the point of our students learning, what good is that? I'll just say there is alway another way to approach a topic. The question is, is the teacher always willing to do what's needed to achieve successfulness for all their students?
Regards, Barry