Always look at the problem in the book. Don’t rely on students to set it up correctly – after all, they’re still learning!
Ask student to explain the procedure s/he is using to solve the problem. You can troubleshoot and listen for incorrect logic or procedures at that time.
Reinforce any correct procedures (e.g. “This part is done correctly”, or “You are target here”.) Then identify incorrect logic and ask the student to consider what else s/he might try. You can provide a hint, but avoid explanations until after the student has attempted a guess. (E.g. “When you evaluate an integral, what do you evaluate first, the upper or lower part?”)
To check for understanding have the student re-explain the procedure to you. Avoid asking questions like, “Does that make sense to you?” and “Do you understand now?”
Disengage! Encourage the student to work the next problem on his/her own, but let him/her know you will check back. S/he needs to develop the ability to apply what s/he is learning without your supervision.
5 Tips for Math Tutors:
Guide Student: A math tutor should guide a student through the solution process. Ask the student leading questions that will direct the student towards the correct steps.
Teach Concepts: The goal should be to help students become an independent learner. In mathematics, it is important to teach concepts rather than just processes or procedures. For example, the tutor should explain why it is important to follow the “order of operations” rule, PEMDAS, rather than just showing the student how to do it.
Encourage Students to Attend Class: Some students believe getting help from a tutor is a substitute for attending class. Students having difficulty in math must realize time spent with a tutor is additional to classroom time.
Address Math Anxiety: As a tutor, you will deal with students with varying degrees of math anxiety. Avoid using phrases such as, “this is easy.” Such phrases intimidate the student.
Don’t Confuse the Student! If you are unsure of a mathematical procedure or concept, admit that and seek a solution. It is helpful to find out what approach the text or instructor is using on a particular problem. A tutor using the same technique as the text or instructor will reinforce the concept or procedure, whereas using a different approach can confuse the student.