Summary and Synthesis

Throughout the beginning of this course, I have learned to view mathematics through a different eye. By participating in classroom discussions, group work, and small group assignments, I understand that teachers need to instruct students on problem solving, not the actual problem itself. I now believe that teachers should work harder on developing students who are unique and individualistic thinkers. In addition, teachers should allow their students to make conjectures about mathematical problems in order to better understand their mathematical thought process.
When we completed the scale factor activity, I realized how difficult it must be for some students when they do not understand a certain math concept. During the activity, I became frustrated with certain drawings and equations, but I was able to work through the problem with the help of my peers. I believe this was one of the best ways for me to understand this difficult concept. As a future teacher, I believe we should all students to collaborate with other students to better understand each other's thinking as well as their own.