Recent Tutoring Session Reviews
"The student had some questions about polar coordinates and changing between polar and Cartesian coordinates. We looked over a graded test where these ideas appeared. Also, we looked at some of the new material they started to cover in class: sequences, and I explained to her the idea of sequences defined by recurrent relations."
"The student worked on a homework assignment that involved arithmetic and geometric sequences, identifying whether a sequence was arithmetic/geometric/neither, finding the difference/ratio for a sequence, writing an equation for the "nth" term of a sequence, and finding the "nth" term of a sequence given the first term and the difference/ratio. He understood the material and had no trouble with the applications, setting up problems and solving them."
"We reviewed how to find exact values for inverse trig functions, and algebraic representation of inverse trig functions. We will focus more on the domains and ranges of trig functions and inverse functions. I assigned a page of homework problems that we will review next time."
"We covered limits, and early definitions of derivation. Differentiation and the expression for it gave the student some issues at first, but once we went over some examples he understood them better. He has been doing very well in in math since we started, and his understanding of limits is pretty good. He felt very good about the material. We went over a quick way to do derivatives by getting around finding the limit. This made it a lot easier for him to get to the solution for more complex problems. We went over his examples in the book and a couple of extra problems. He had more questions to work on."
"In this session we did a brief review of sequences and series, followed by an introduction to the concept of limits. This included the notion of left-handed vs. right-handed limits, properties of limits, and tricks to calculate limits such as removable discontinuities. The student did not struggle with any of the material and seems to be sharp when it comes to mathematics. The student was attentive during the session, but I would like to find a way to get him more engaged in the material. I did not leave the student with any extra practice, but we did establish plans to go over some practice problems during our next session."
"We covered partial fraction decomposition and proving trig identities. The student was struggling the most with the process of getting to the solution. The student's attitude was very positive, receptive, and patient towards learning the material during the session. Once the student got the process, she was able to follow the required steps without any problems. I mentioned the strategy of substituting the values in the trig identity with a simpler variable so that it becomes easier to expand the binomials. The student had a review sheet with them for their exam, so they already had practice for the problems. The student talked about scores/grades, and as a result we were able to note progress in her course. The student was an excellent learner and was willing to learn. This session was overall productive and great!"