Even teaching with innovation, we still cannot make sure we can give students a map for the future, but we should offer them a compass, showing them directions. That is what someone who tries teaching innovatively should do.In this article, it is divided teaching innovation into three patterns: improvement, surpassing, and innovation. Improvement means doing things right; surpassing is reflecting on teaching, further, based on teaching objectives deciding on what is the right thing to do; innovation is not being restricted by the textbook.In the end of the article, there are some suggestions about encouraging teachers to continue improving teaching techniques, giving a proper feedback to inspect teaching effects, and being innovative for each individual.