How has this course changed/not changed your perceptions of teaching math?

This course has completely changed the way I thought about teaching math, and the way I thought about math in general. I now realize the importance of allowing opportunities for students to understand the reason why you do something in math (area formula) instead of simply telling them what to do and giving them a worksheet. I also now realize how important it is to have a few projects that are real world related. When I was in school I would often wonder why I had to learn certain math things; with opportunities like these students will know why they are learning the things they are. I have also learned that children want to be challenged. Sometimes educators think that a math concept will be to hard for their grade level of students. I believe that with the right instruction students will have the confidence to tackle some of the hard problems and even learn form their mistakes.