
Throwing away the book isn't always the worst thing in the world...unless it isn't yours. Then your district might be a little upset.
This year I took a leap of faith. It wasn't so much a "leap" as it was more of a "being launched out of a canon" type feeling. I saw the disservice that I was doing to the students by teaching so much out of my book and so little out of my educational philosophy.
I believe that math is fun, functional, incredible important and interesting. I also believe that to make students believe this as well, you have to be a pretty accomplished salesperson.
My educational philosophy is based on the simple fact that humans are explorers. People like to go into the unknown and find a way out (hopefully). This also means that people want to discover things that they don't already know. This is the main reason I flipped my classroom 180 degrees this school year.
I saw that teaching out of the book was undercutting my most basic and genuine belief of learning through exploration. After thinking about this for a long time I decided that my philosophy was not wrong, but my methods were. Research backs me up on this point. (Read more about that here.) So I decided to line up my extrinsic actions with my intrinsic beliefs.
This year is much more centered around discovery-based learning. What I have found so far is that students are more willing to ask questions. They are more willing to try things and be ok with failing. Also, they are more interested in the problem because they get to choose their own method of going about it.
I can't speak for the rest of my year, but for now this leap of faith has paid off.



