I am a junior in college in electrical engineering and have had to take 4 semesters of college calculus and a statistics course. Through those courses, I got really good at explaining what we were covering or how to understand the homework to my classmates. That experience, and the constant practice I get in my classes, is what makes me a good tutor.
I have always loved problem solving and that "click" moment of finally understanding something. Being able to get someone else to that place, where the math they are studying goes from complicated mess to clear, logical flow is what I love about tutoring.
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I try to focus on the process of solving the TYPE of problem asked as opposed to just focusing on that particular problem. By showing how something is done, students have a much quicker time truly understanding the material, increasing their performance and speed on exams.
I charge $30 dollars for a 1 hour session and I am happy to meet with students multiple times a week if they so choose.
I was homeschooled growing up, so a lot of my initial experience teaching was teaching myself how to do things. Then, when I started college, I could teach myself the material and then explain it to my classmates when they had/have questions.
I have mostly worked with high school students in topics ranging from algebra 1 to precalculus and calculus.
Don't get a tutor who simply solves the problems for you. Having your homework done by someone else is a waste of your time and money. I am constantly checking with students that what I said makes sense, because everyone is at a different level of ability. It is better to spend 20 minutes really understanding a core concept than get lost in an hour of examples.
Usually, going over a recent test or homework is helpful, so that I can gauge where to start focusing our time together. A lot of what students get out of tutoring is dependent on what they put in. I rarely know the exact curriculum or material a student is currently covering, so making sure that I know what to teach is crucial.