My goal of teaching is to help students learn to appreciate the beauty of mathematics and to develop the ability to analyze and then solve problems. It is critical for studying mathematics to understand the profound ideas hiding behind the concepts and theories. I try to illustrate the original ideas such as how mathematicians think and solve problems. Also, a successful classroom consists of enthusiastic students ready to participate in discussions. The students should feel always comfortable in asking questions whenever having confusion or comments. Explaining how original ideas come out in steps and clarifying what we are going to achieve for each step help students understand the key ideas. For example, in my Ordinary Differential Equations course, when dealing with a new differential equation, the class re-experience the procedures like, what observations we can make; what the difficulties are; and how the new methods work. Instead of directly showing them answers, I like asking them how they will deal with the issues and typically wait until I hear from them. This way helps them more involved. I will often try their suggestion and explain how it work or why it does not work and then introduce a new idea. This way also identifies and …show more content…
I hold regular office hours a week, and I am very flexible with the office hours whenever they need help on homework or questions about lectures. The office hours serve to clear up confusion from the lectures, helping homework problems, provide short reviews of the topics to a smaller group, and also collect helpful feed-back to improve future lecturing. I value the homework heavily, since it is a practical way for students to understand and use key ideas. I give daily homework assignment in each class. Regular homework assignments encourage students to review the lectures on the same day and hence keep them from falling behind as far as