Recent Tutoring Session Reviews
"The student is working on finding zeros and solutions to polynomials with higher degrees. So we practiced long division, synthetic division, and rational zero method for finding the first zero. He is doing well in the class so far, maintaining an A overall."
"The student started us off with a question about identifying "objective functions" in a production vs. cost scenario. Slightly later, we took the two partial derivatives of a function to find the critical point in its graph, aided by the fact that e raised to whatever power is always a positive number. On a tangent, we talked briefly about how an ideal garbage can, minus any other constraints, would minimize surface area if it were perfectly spherical. Our concerted effort to work on derivatives got off-topic, so it will need to be picked back up during our next session. Implicit differentiation will be enjoyed by all."
"The student took a test since our last meeting, and felt confident in several of the topics we covered last session. Today we focused on practicing the product and quotient rules of differentiation, and then reviewed the chain rule. There was a great instance of "clicking" when I showed her the graphs of sine curves and its derivatives."
"The student wanted to go through a practice exam before his upcoming test. We covered about 15 multiple choice questions, 3 True or False questions and 3 workout problems. Graphing of functions may not be his strongest point but he has certainly improved in the past week. Tomorrow we will review more in preparation for his test and solve more examples."
"The student was able to visit with a tutor today, who was able to walk through the problem set with him again. He and I targeted problems about which he had additional questions, and I used the opportunity to ask additional clarifying questions (e.g., "What if the problem asked this?" or "How would you arrive at the same answer using a different differentiation rule?"). I emphasized breaking problems down into parts and being careful with terms. I made sure to ask him to provide any feedback on my teaching style or things I could do to enhance his learning experience, and I look forward to hearing any feedback. He and I plan to touch base in a week or two to start working on the next section of the course, which is mainly applied differentiation problems."
"The student was having some confusion over applying integral calculus to her AP Physics problems. We went over her homework and some practice problems together, and she said she felt much better about the topics at the end. The only real issue is that her class assumes she has fully learned basic integral calculus, but she is taking calculus this year and has not had any formal instruction in integration yet, except for the brief introduction I was able to provide for her this summer. This is causing her some completely understandable confusion."