This is a board member. She certainly has a right to express her opinion about books that she doesn't think rise up to the level of quality reading for high-schoolers.
And that is not "book-burning." It is what a board member is supposed to do.
I totally agree.
Trying to control what adults may or may not read is a whole other discussion...
Banning books is negative only when applied to adults over the age of 18. Under that age is considered a child and not responsible for what they read, so adults have to make the choice. And this teacher is only talking about what is required reading in the schools. Outside the area where SHE is responsible, it is left to the parents, who can require their children to read the books if they so choose.