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The "formula" quoted in the original post is clearly telling the students
that the purpose of scientific experiment and measurement is to get the
right answer, reinforcing the notion that the content of our discipline is
one of memorizable facts rather than a process for examining the world
around us.
How can I teach, and grade lab reports, if I do not accept the idea that
"the purpose of scientific experiment and measurement is to get the right
answer"? In one setup the right answer may be 9.8 +/- 0.2 while in another
it can be 9.8 +/- 2 (or +/- 0.0002, if you a prospector). The answer does
not have to be quantitative but it is always either right or wrong. That
is why teaching physics is different from teaching artistic subjects, for
example.