Recent Tutoring Session Reviews
"We had to look at the problem of finding absolute extrema for functions of two variables over a closed and bounded region in the plane. We looked at a region with a square boundary and one with a circular boundary. I had to make clear to the student that the entire boundary has to be studied, and with the circular boundary case he was finally convinced that we cannot have a priori ideas about what points on the boundary we have to check. We also delved into a problem using Lagrange multipliers, but didn't spend too much time, as the quiz he was going to have to take on Thursday concerned absolute extrema on closed and bounded regions and also tangent planes and normal lines - which we covered our previous session."
"The student and I went through some problems for finding the volume of various solids by taking the area of a cross-section and integrating. We also went though several problems from a practice exam to see which topics she was the least comfortable with. We covered problems using a velocity graph, problems asking for the limit of a function, the Mean Value Theorem for Integrals, and determining the where a critical point occurs on a graph and how to tell if it is a maximum or a minimum. She is doing better with reading and interpreting a velocity graph and we discussed how to estimate information about an objects position or acceleration from its velocity graph."
"I assisted the student with his math. We went over flashcards and subtraction, and did some work on his worksheet. He did a good job on his flashcards."
"The student and I worked on quite a few different subjects today. We started with her reading exercises on homophones, where I was quite impressed by the difficulty (currant/current, vane/vain/vein). We moved to math, where we finished her workbook exercises and did her fantastic five, completed a Spanish worksheet, studied a little for her social studies test Thursday, and finally read Nancy Drew for 20 minutes. She did well and for the most part remained focused."
"The student is studying for a test and was having trouble with solving equations with 3 variables. She understands the process fine, but tends to make simple errors due to not writing everything down and calculating it in her head. I have encouraged her to make a habit of doing this. She has study hall tomorrow and practice in class on Friday."
"The student had homework involving the concept of expressions and equations. We began the session by reviewing the concept. We looked back at the lesson from her textbook going over the strategies and examples. She had to solve given equations using subtraction. After the review she was able to complete the 11 problems independently. The second worksheet involved solving the given equations using addition. She was able to work on these independently. Next we worked on a practice sheet from her textbook. She struggled with the first few questions, defining equation and expression. I reviewed with her the meanings and explained the difference between both. She also struggled with the word problems solving equations. I worked together with her on the skills. Her attitude was positive and she showed great response by completing the practice sheet."