Introduction, due on August 31

I am a senior studying math education. I would like to teach and coach basketball at the high school level after graduation. I have taken linear algebra, abstract algebra, theory of anaylsis, and differential equations. I don't know much about this class. I am taking it because I need it to graduate and know some other people in the class already that I hope to work with. My least effective math teachers have been those who strictly lecture without really answering questions because they just want to cover the necessary material. More effective teaching answer questions and noticing when the majority of the class is struggling, so they can focus in and reteach that concept. I just finished playing 4 years with the BYU Women's Basketball team.