New insights and their implications

So far this math class is not like any class I've every had before. I have learned that math should not be taught the way we have all expierenced it. Never before have I been a student in a math class that did not involve examples on the board and then many many problems out of the textbook for practice. I have learned that in order for students to truly understand math and its concepts they must struggle and have some challenge. I have come to understand that there is a difference between struggling to find an answer and being given a worksheet and having no idea where to start. As teachers we must elp students to help themselves learn by letting them struggle, but not so much that they become discouraged and begin to hate math. I am looking forward to the rest of this class and learning how to make teaching math better than we ever expierenced as students.