My teaching philosophy is that no two individuals learn the same way, and should not be treated as such. I work with students to foster their own individual learning styles whenever possible, but my go-to strategy is to go through the logic of problems with the student and try to have them figure out as much as possible on their own while not being afraid to ask questions or for guidance.

In the first session, I would aim to ask the student about what has worked with them in the past in other classes or how teachers have previously been effective with them. Building off of this information, I would try to develop the learning approach that would best emulate previous success. The main goals of the first session will always be to get to know how the student learns as well as try to break down a wall of misunderstanding on one small concept in order to instill confidence.

I am a big believer in logic-based learning. I'd ask the student at first to walk me through what they understand, but then once a roadblock appears, work with them to figure out the process to solve the problem. Once the first few problems have been walked through, I would aim to wean them off gradually, while still remaining a consistent resource. Over the course of multiple concepts, I hope to integrate this method of logic-based learning with the learning personality of the student so they can develop individual learning and studying styles that help them solve problems, while I still help out with new concepts.

By setting small goals throughout the session, such as short breaks or a change to more enjoyable subjects once an assignment is completed. The long-term goal, however, would be to instill a sense of motivation in the student by means of newfound confidence in the material, as well as visualizing a more long-term goal.

I would ask the student what they did understand because, that way, I can help hone in on the specific issue instead of giving an overly general survey. Once the areas of difficulty are made clear, we would work to instill the logic of the concept or the process of solving the problem. From that point, a few more repetitions with practice problems would be made in order to begin to solidify the concept.

The strategies I find most useful are identifying what students currently understand, incorporating techniques to appeal to students' individual learning personalities, and using a logic-based approach to answer questions.

By tying the material to their own personal circumstances or cultivating different approaches to learning material (i.e. applicable uses of geometry).

Asking the student to explain to me a concept or teach me the skill, essentially switching the roles. Also challenging the student with tying the material learned to either a previous concept or one that will be covered soon.

Slowly but surely. By making the material easy to digest and building mastery little by little. The second method is to help build problem-solving skills and strategies so that students can go into the subject matter with more confidence and a game plan.

Through isolating the specific subject matter, as well as making accommodations for specific learning styles. Whether that is auditory vs. visual vs. kinetic learning or making accommodations for students' needs. Also, through getting to know the student's personality, I can tailor-make my tutoring approach to make my tutoring compatible with their personality and studying style.

I tend to defer to regular textbooks or test preparation books, partially for explanations but mainly for practice problems. I further consult online resources to find more practice problems.