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My approach to tutoring would be patient, supportive and adaptable. I would try to understand what the student already knows and identify where they're struggling.
I would break the topic down into smaller, more manageable steps and use examples to help them understand it rather than simply giving them the answer.
I also think it's important to create an environment where students feel comfortable asking questions and making mistakes, because that's a big part of learning.
Most importantly, I'd want the student to leave each session feeling more confident than when they started and gradually become more independent in their learning.