I did not take a lot of math in school, but reading as I am now a book on art
and math has some insight into 'good enough'...In 'Symmetry and Chaos', Field
and Golubitsky show examples of symmetry in computer designed art. They talk
about determinism meaning that a 'reasonable knowledge of current position
leads to good predictions of future position.' That is, outcomes should be the
same given roughly the same initial data. When this is applied to the atomic
level and quantum effects. Here apparently mathematicians run into a practical
problem in that: even the tiniest error in our data can be magnified over time
to produce an outcome far different from what we would have gotten using the
true data. So it follows that for students in a computer age errors are even
less acceptable, and this is scientifically proven by the quantum theory.
Please, somebody who knows math critique this! :-) But it is how I read this
book and I think it applies to 'good enough' in our students.
Beth