What is your teaching philosophy?

My philosophy in teaching students is to let them try and solve a problem first, giving them what they need to know. Based on how they perform at their attempt, you could see where they make mistakes and where they could use significant tips and tricks to make sure they truly understand and get the concept henceforth.

What might you do in a typical first session with a student?

Assess the strengths and weaknesses of the student and find what makes them comfortable, and work on whatever they need more help in by teaching them and constructively tutoring them, not merely by giving them the answer.