New Insights and their implications

From the first few weeks of class I have learned a new approach to teaching mathematics or how to teach mathematics though problem solving. I currently feel that I could teach problem solving in a variety of ways, when previously my knowledge on this concept was not very good. Because I now have a strong understanding of problem solving I feel it is very important to implement in the classroom. Our in class readings and class discussions have helped me to gain knowledge and skills on problem solving as a method of teaching. I also learned that problem solving is a “way of teaching” and that when done correctly students really learn the material in depth. We also learned that there are several factor that influence problem solving and that there is no one-way to teach it. From the in class quizzes, I have learned that in order to meet the student where they are at in their mathematical knowledge, is important for teachers, when selecting activities for problem solving task, to choose activities that have multiple "entry points” allow student to solve their own problems.