I have 26 years of experience teaching students of different ages and levels of knowledge.
I usually use the first few minutes of each lesson to clarify what the student wants to work on and get a rough idea of their level of understanding.
I then guide you through problem solving using questions and examples.
I don't do all the work for the student, but only help them solve some steps. The goal is not to give them the answer directly, but to help them find it.
Finally, I make sure that the student has understood the concepts involved.