Abstract: The main purpose of education is to train the students how to think while teaching. Based on generalizing conventional teaching methods for engineering mechanics, two new teaching methods were presented in the paper. One is pre-organizer teaching method based on analogy,the other is scientific-symbol-interpreting based on semantics. In order to achieve the teaching goal of training the students' brains while teaching, teachers should do their utmost to teach students how to think on their owns instead of telling them what is what directly. Pre-organizer teaching method is founded on analogy, which can be realized through looking for the connecting joints between new knowledge and old knowledge. By comparing the similarities and differences of new and old knowledge, new knowledge can be easily led into the learner's original cognitive structure. Scientific-symbol-reading-method can simplify teaching materials and refine teaching language. It can help students grasp the essence of knowledge. Both methods are helpful in optimizing class teaching and maximizing class teaching effectiveness, and guiding the teaching process to develop in the direction of high quality and low consumption.