The existing SAGE tutorial by Bill Stein has a lot of good
information, but is hard to assimilate.  It would be really great to
have a tutorial written
with highschool students in mind.  (This would also be useful for
others who are not professional mathematicians).

Also, I'd like to suggest that the discussion of polynomials should
not start with polynomial rings. The average highschool student (or
working engineer) has no idea what a polynomial ring is. I'd really
like to see some examples that show how to define polynomials with
rational or decimal coefficients, multiply two such polynomials
together, factor a polynomial to find the roots (using
numerical methods if necessary), divide one polynomial by another to
yield the quotient and remainder, and so on.

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