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

This course has changed my perceptions of math instruction. Before this course, I had never thought about the purpose behind solving a problem or any key math concepts. I simply plugged numbers into an equation until I found the correct answer. Teachers did not let us or tell us of multiple routes to solving one problem. My teachers would explain on strategy and ask us to follow the strategy when working on our homework. Additionally, manipulatives were hardly ever introduced in my elementary math classes. My hope is that I can help strengthen the math skills of my future students by introducing the use of manipulatives to better support their learning. It is important that we allow students time to think through a set of problems or mathematical questions before we give them the answer. In other words, we should guide students through the mathematical thinking process without giving away the answers. Lastly, students should be placed into groups where they are asked to discuss their individual ideas and solving strategies with their peers. All students come to the classroom with different levels of knowledge which they should share with others. Students should not be afraid to make mistakes or ask for help.