Show them the proper way of writing
mathematics;
Emphasize mathematical proof;
Provide a broad view
of mathematics, including its historical development, core topics not
often covered in school, and even presentations on some current
research topics;
Prepare students who wish it for future
mathematics competitions - particularly MathCounts and AMC
exams.
Generally we don't use books in courses; teachers
hand out problem sets.
But many excellent books are mentioned or
displayed, and sometimes we offer
students the opportunity to buy
appropriate books at bargain prices.
As to the type of problems
that the students work on, it depends on the course. We have
collections of MathCounts problems from local to national. The
Qualifying Test provides examples of other sorts of problem types and
levels we provide. See what we expect of students here.
