New Insights and Implications

Through out this class I have realized I never really knew how to teach math.  I have had so many teachers who simply show us how to do a problem and have never explained why.  I feel like in order to really teach students math, we need to teach them how AND why we are doing problems the way we did.  When asked the question in class, "Have you ever learned how to do a mathematical problem, but were never taught why?' I thought to myself, YES!  I feel like every single math problem I have learned I don't know why that is the way we do things.  It makes me nervous to teach this way because if no one ever explained it to me, then how am I going to explain it to my students.  I have begun to think in an entirely different way of how I will be teaching math.  Students aren't going to be able to simply "get it" without proper explanation.  Now that I know this, I will have to work hard to figure out the best way to teach my students.  I don't want to be the teacher that makes students hate math.  I'm just happy I learned this before I start teaching, rather then later.