Recent Tutoring Session Reviews
"The student and I covered various topics for her upcoming exam involving percentages. We discussed credit cards and financing and looked up percentages. We also worked on problems involving percentage mark-ups based on cost of production. She found a great amount of interest in this topic!"
"We covered a number of topics. Using derivatives to estimate square roots, finding fxn behavior and graphing, evaluating limits and end behavior, and using the chain and quotient rules. I also explained the importance of recognizing different parts of the fxn and taking the derivative from the outside in."
"Continued on the topic of the cross product as a 3 by 3 matrix. The student has quickly learned all of the elementary matrix operations, especially the computation of the determinant. He is a visual learner and has the ability to imagine vectors and volume in three dimensional space, which is outstanding! Since he has a strong conceptual understanding, he is readily capable of constructing rigorous proofs. Yet he is also a pragmatist so he wants to know how all these theoretical concepts can be applied to the real world. The student is great to work with because he is genuinely interested in learning, has a natural ability for the material, and has a laid-back personality."
"Today the student and I worked on exponential growth and decay. He had missed a lesson last week due to a debate tournament, so he wanted to go over the chapter he had missed. We worked through a review sheet that covered problems from a few chapters that were going to be on an upcoming quiz. As always, he had a great attitude and was delightful to work with. He is so bright it is just awesome to see him work through the arithmetic with such ease. We worked a lot on writing exponential equations from word problems and identifying the different parts of the equation. Since our last session he has become even more familiar with his graphing calculator, which will be a great aid for him now and in future classes. One thing I would like to see him do is write his work out on a separate sheet of paper, especially when he doesn't have a lot of room on his review sheets. This will make it easier for him to catch simple mistakes as well as study. I didn't leave him with any extra practice because we completed the review sheet and most of the problems in the book and he seemed to have a very solid grasp on the material. He felt a lot better about the material he missed so that was great to hear. I look forward to hearing how he does on his next quiz!"
"The student had a worksheet filled with factoring problems of second and third order equations. He is very gifted at factoring quadratic equations; he even found the solution in his head to a cube trinomial where I used a technique of grouping parts of the equation. So we glided along through two-thirds of the problems, but then we hit some that were not easily solved. We tried everything, and had to eventually concede and use the quadratic formula, only to get imaginary numbers and nasty square root answers. After that I showed him again the meaning of and uses for synthetic division, as that is a key part of this chapter."
"We worked on the student's study guide/homework assignment that pertains to the latest material for his quiz. This includes computing position, velocity and acceleration vectors when x and y are given as functions of time (t). We talked about, reviewed and practiced derivation/integrating expressions involving chain rule and integration by part. The student impressed me with his incredible learning attitude, his ability to listen and his ability to reason. He shows impressive knowledge; one could converse with him for hours, days and weeks. He talked to me about warped time and space and gravity showing significant knowledge about Einstein's relativity theory. He talked to me about line integral and electrostatics as treated using very advanced Maxwell equations. This kid is going somewhere, reaching for the stars and I will be humbled and honored to be any part of his success. Kudos! I look forward to taking this scientific ride together committed to helping through his math and physics."