Recent Tutoring Session Reviews
"At the student's request, we spent tonight's session working derivatives using the limit definition of derivatives and the difference quotient form of derivatives. This is actually the worst way to find derivatives, but it is testable. The student said his teacher intends to test this method of differentiating. He needed a refresher on it. At the end of the session, he said he was good with it."
"At this first session, we went over polynomial divisions, imaginary (complex) number fractions, and finding solutions of polynomials through graphing/factoring. The student has a very good understanding of the concepts and has a good general idea of steps required to solve the problems. He mostly struggles with keeping track of calculations in his head and mentally manipulating expressions. This is something that's acquired through constant practice and experience. He is very motivated to learn the material and seems to have a good vision of his academic goals. I took a look at one of his math tests and saw that he made really small mistakes that he could have caught on his own (e.g., sign change, arithmetic). I am confident that, with more practice, he can get an A in algebra 2."
"At this session, we went over proportions. Initially, the student was a little confused on how to turn a word problem into a proportion to be solved, so we practiced interpreting some word problems. After some practice, she was learning how to interpret the problems correctly. With a little more practice, her understanding of these problems will be strong."
"Based on her teacher's request, I constructed a game to help review time and elapsed time with this student. I asked her to "talk out her math" with me, as this helps identify her process. We continued on with some easier problems with time. I asked her parents to both work on telling time and elapsed time with her in everyday life, as it is more meaningful. We then played a card game where she came up with a time, and she pulled a card and added minutes to her time. She was very focused and had a good attitude."
"Basic integration rule exercises. Integration by parts and trigonometric substitution. Finding arc-length and surface of revolution. Finding volume by revolving around a coordinate axis. Partial fraction decomposition and a little bit of improper integrals.
Nice review day."
Nice review day."
"Because the student felt comfortable with the material she has been learning in Physics this week, we focused for this session on Algebra II. We worked through most of her practice test, since she was just finishing a unit on polynomials; from there, we identified areas to practice (imaginary numbers and factoring), and I asked her to finish the practice test and redo some problems from her homework on those two areas. She has a test on Friday and is planning to email or text me any questions that come up during her review."