My teaching philosophy is developing the concept from the ground up. I am very reluctant about making assumptions about the student's background because that discourages the student's participation (I have realized this from my first-hand experience as a student). I start from the very basic of principles (axioms) and tend to show the whole derivation of things if the student prefers or asks me to show it. There is no such thing as a stupid question. I welcome every question equally and address them as many times and in as many different ways as it takes to make the student understand it. I am a very visual person. Therefore, I draw a lot of pictures and use a lot of physical examples to show the application of concepts. Furthermore, I like the study sessions to be as interactive as possible. Therefore, I ask a lot of questions to the students to make sure that they are understanding things as we move along. I also ask the students to come up with their own questions so that we can go through them together because that breaks the mindset of limiting oneself to just the problems in the book. This, I believe, also helps to foster creativity and problem solving.