Recent Tutoring Session Reviews
"We covered integration concepts and did many examples. We discussed the fundamental relationship between integration and area."
"The students had the first part of their test today and the second part tomorrow. I spent the majority of the time working with them on free response questions (as that is what they will be tested on tomorrow). I began by asking them if there were any questions from the test which they were unsure of or wanted to ask about in order to generally get a feel for any concepts they wanted to review. Each of them had something they recalled, so we went through those first. We then went through a practice session of the free response section. I first worked with student A, we went through the section discussing how to approach the problems and reviewing strategies. Further we went over the best way to approach the problems in general: determining what you need to solve, what information you are given, and then how to apply what you know to get the answer. They then switched places so I worked on similar sections with his brother student B while he went through the next practice session. After completing the first section with student B, I worked with both of them at once, addressing any issues that had come up for student A while he had been working alone. Generally answered any questions that came up and worked through problems with them allowing them to work through them by themselves when possible, and otherwise providing hints/tips to help them reach the solutions themselves."
"Since her exams next week, we went into areas of difficulties and the student worked on an exam paper, which was corrected and explained."
"We covered review problems that the student had had trouble with, focusing primarily on finding tangent lines, the relationship between secants and tangents (the limit-quotient definition of the derivative). We also discussed sketching derivatives given a graph of a function, and using derivative information to sketch graphs of a function. We covered several other applications and review problems."
"The student received his text that he is going to use in the class. We looked over all the sections that are mentioned in the syllabus and worked on problems from various sections. We noted that we have covered the majority of the material, but now it is important to practice the concepts. We also discussed the derivative of natural log and the integral of 1/x which we had not yet covered. We practiced the product rule, the quotient rule, the chain rule, and optimization problems. We also practiced limits and discussed left and right limits and the definition of limits."
"We went over a past GCE "A" Level exam and used its questions as a measuring stick for the topics that the student needed to review. Today, we reviewed a number of calculus topics such as laws of differentiation and different techniques that are involved (product/ quotient rule, chain rule, implicit differentiation, etc.). We went over the first derivative test, how to find local extrema, inflection points, concavity, and how to put it all together to sketch a graph. He was engaged and receptive to instruction during the session. We will continue with calculus topics next week (related rates, integration, Maclaurin series, etc.). I gave him extra practice problems to work on that covered what we went over today."