1) Persistence: our district has MARS tasks which are a series of problem-solving scenarios that gradually build in complexity. There is rarely only one way to solve the problems, rather it is important that the kids justify their answer and prove it by showing their work and their thinking. The problems aren't easy and are meant to be thought through over several class periods rather than just one.
2) Functions as a thing/procedure rather than a concept/disciplinary way of thinking: work with students to identify patterns and then evaluate if we can name those patterns using functions rather than always starting with a function
3)Students memorize what a function looks like and regurgitate it rather than really understanding what it means and how to apply it: I am hoping this program will help me find another way to show students how functions can help them accomplish tasks in "real life" rather than just in textbooks