The best way to develop and retain a deep understanding for a subject is to be genuinely interested in it. My teaching method revolves around finding the best way to spark a student's natural interest in a subject, and continuing to encourage it by showing them intriguing applications for what they are learning.

I would first briefly try to get to know the student and their reasons for seeking out tutoring on the subject in question. This would increase our overall rapport, which I feel is very important for comfortable and affecting learning. Additionally, it would allow me to have some idea what kind of things interest them in general, and I could begin to develop specific examples and questions that would best engage them. I would then spend time discovering their existing knowledge in the area and asking them what concepts they are having the most trouble with and what style of teaching they normally best respond to. Once that is out of the way, I would jump into some initial questions and explanations on the subject, and afterwards have them attempt to solve a problem in the subject area while I ask questions about why they are using the strategy they picked or doing specific steps to make sure they understand how to transfer what they recently learned to other or more complicated problems. Then, depending on time, I would ask them how they now felt about what we talked about and if they had any questions or suggestions on things I could do to better assist them.

Fostering genuine interest in a subject is the best way for a student to go out and learn independently. I attempt to find the best way to spark and then nurture a student's interest in a subject, and then teach them how best to search out solutions to future problems they might need to solve.

By continuing to challenge them and asking them questions that I think would be most likely to genuinely interest them and that they would want to learn how to solve.

This depends a lot on the specific example in question and what we had already discussed, but in general I would find and attempt different ways of explaining the concept. Oftentimes a visual depiction or real-life example of the question or concept can be of great assistance. If after this the student is still struggling, I would break the skill or concept into as many smaller pieces as possible and slowly step through each part to find and then focus on which part is causing the most issue.

I would provide as much essential information as possible in verbal and video-based mediums in addition to the written one. I would then, when possible, provide them ways to demonstrate their knowledge in the subject area that do not overly tax their current level of reading comprehension, e.g. having some visual-based tasks and questions instead of mainly traditional literary assignments.