A few weeks ago, I started tutoring a student in Discrete Mathematics (a subject I took a year ago).
I have previously tutored both pre-calculus and calculus, but never a proof based class. I have been approaching the job by helping the student work through the homework and helping her figure out content that she couldn't follow during class.
I am afraid that I might actually be doing the student more harm than good, as Discrete Mathematics is a proof based course (the first of this kind for her), and thus I am afraid that she will begin relying on me to get intuition for problem solving and writing proofs in general.
I was thinking about transitioning to a structure where she proves everything that they proved in class again by herself (with help where needed). The idea is inspired by this blog post I found last night. Does anyone with experience tutoring a proof based math course have any advice for me?