What is your teaching philosophy?

Help students think through any difficulty they are encountering with a subject or exam. I've been both a one-on-one tutor and an undergraduate instructor and emphasize building trust with the student in order to accelerate the learning process and make it more participatory whenever possible.

How would you help a student stay motivated?

Encourage them! Students of all ages (even adult learners) need encouragement and validation when they make a breakthrough or when they feel stuck in the mud. Part of the tutor's job is to not only to teach, but also to motivate.

If a student has difficulty learning a skill or concept, what would you do?

Practice, practice, and more practice. There may come a point when a new technique or explanation is necessary, but repetition is the quickest way to learn.