I'm teaching in China, and I have been told that I will be leading the students in mathematics competitions. I feel very ill prepared for this. I never did mathematics competitions in either high school nor university.
There will be at least five different competitions, likely more. The first is Waterloo:CEMC. Also, the student's parents send their kids to compete in competitions outside of the school's scheduled events. So, on top of coaching the 90 grade 10 (US system) students plus, grade 11 and 12; I am also to help a couple of students to do well at the Duke University Math Meet, and some various other mathematics competitions.
My question has two parts:
How to coach these students when the problems themselves are challenging for myself.
The bright spot, is that I have a decent budget to order books. Please, suggest titles of books to place on my order sheet and any other resources that would benefit my coaching and broaden my and the students knowledge base for mathematics competitions.