The short answer on Math Tutor
The phrase Math Tutor gets used loosely enough that it is worth pinning down before going any further.
Two words, two jobs: Math names the approach and Tutor names who or what it is for. Most confusion comes from treating them as one idea.
Where this usually goes wrong is that re-reading notes is studying — a mistake that is invisible until something unfamiliar turns up.
Why tutor is the part that matters
Among undergraduates, postgraduates and adult learners returning to study, this is one of those ideas that seems abstract until the moment it is not — typically the week before an exam, with four chapters still unread.
Once you separate the math framing from the tutor practice, the idea gets considerably more useful and considerably less quotable.
Two questions to work with
Open with If this question appeared on the exam in a different form, would you still recognise it? — a diagnostic, not a test.
Follow with Which step in your working are you least able to justify?, which is where the actual thinking happens.
Making it routine
In practice this means closing the book and reconstructing the argument from memory, then checking only what failed.
The signal to watch for is the student can predict which part of a question is the trap.
Next steps
The natural continuation from here is the advanced guide on question ladders, then a session on the paper you are preparing for.