Recent Tutoring Session Reviews
"The student is going to have a test in the following week, so we worked on the related chapter, rules on differentiation of a single-variable function. We first went through the whole chapter in her textbook, ranging from the definition of the derivatives, rules for calculating derivatives for simple equations, to implicit differentiations. She has really good understanding of the whole chapter. But when it comes to using these concepts and tricks, she has occasional problems. She can solve the simple problems without any issues, but for problems that involve multiple steps and those involving algebra, she sometimes runs into trouble. She would either "truncate" the procedure prematurely, or perform inappropriate operations. Part of the reason is that she forgot some of the rules, but I also suspect that she might have formed a bad habit during middle school in solving such problems. So I've paid more attention and am giving advice on working habits. We also analyzed the mistakes she made, so that she could review and avoid making them again. I will keep working to improve her working habits because she definitely has the potential to understand the current material well."
"The student and I worked through her homework on solving algebraic equations in linear systems. She had a very good handle on the topic, and only had a few questions regarding specific techniques (substituting for another variable, specific tricky problems)."
"We covered writing the equation of a linear line given line parallel or perpendicular to in standard or point-slope form."
"We spent the majority of the time reviewing solving and graphing inequalities using addition and subtraction. I had the student do the problems that she had for homework tonight as well as problems that she struggled with earlier in the week. She has a secondary workbook of math basics and she commented that she struggles with order of operations and distributive property. So, I modeled a few problems for her and then made up some for her to do in front of me. I encouraged her to write steps below in sequential order below the problem rather than erasing things and she agreed that this can lead to minor mistakes. She told me that she got an 89 on her last test, but she forget to get a copy from her teacher. She said that she made really minor mistakes, possibly from rushing on the exam."
"We covered how to solve systems of equations for circles using substitution. We spent most of our time working through a critical thinking word problem that involved solving a system of equations for three separate circle equations. The student has a good understanding of the material, but needed direction, particularly with a complex problem involving more than two equations. She felt comfortable with the material after our review session. After covering math, we also went over her upcoming English paper on All Quiet on the Western Front. Overall, it was a very good brainstorming session and provided guidance on how she could approach the paper."
"I covered many 6th grade math level topics. I went over percents and multiplying and dividing percent. I also went over 4-digit by 3-digit multiplication problems. The entire lesson went off very well, and I felt that the student learned a lot. The student was inclined to learn, and wanted to learn more. I left her with an extra practice sheet as homework. All in all, the lesson went very well."