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

This course has changed everything I have thought about math and doing math. I now know that helping students to reach inside to help themselves build on prior knowledge is a great way to learn math. Once given a problem, students are able to figure out a problem with out equations that they would have memorized in the old way of teaching math. Often students, if given time to think and struggle, will find a way to solve a problem.In the same classroom, with the same problem, there will often be many different ways that will be shared for solving the problem. Students will then learn that with the different ways to solve a problem, they can use other strategies to check their work. One of the things that really stuck out to me was that students should be praised, even if their answer is wrong. I think this is a great concept, because if a student is afraid of making a mistake, they will not try very hard. Overall, I think this class was great because it helped me see a whole different outlook on teaching math.