Recent Tutoring Session Reviews
"The first student had a biology test on basic genetics, so we started with that. We went over a practice quiz he had taken and some of his additional notes and I asked him some related questions. He seemed to have a good understanding, so we moved on to math. He had a test today on linear equations and we talked about how he felt about it. We then talked about how he felt about his prior tests, strengths and weaknesses. I look forward to helping him progress in biology and math. The second student is currently learning about mixed numbers and improper fractions. We went over a sheet that he and his mother had done earlier that night. We went through the sheet and I made him explain how to do them. He seems to have a firm grasp on the topics."
"This class we successfully completed both the limit comparison test and the alternating series test. We even got to the definition of what a conditionally convergent series was. We started out with the limit comparison test, which said that if you pick b sub n such that a sub n over b sub n is equal to a positive, finite constant that a sub n and b sub n either both converge or both diverge. The trick of doing this problem is to pick a b sub n of a similar degree on the top and bottom as your a sub n. We did several examples and it was a FANTASTIC sign how quickly the student got a handle on using this test. We even chose a very hard example from the book, and we eventually got the right answer. The next test that we went on to was the alternating series test. The alternating series test said that if you have an alternating series of the form (-1) raised to either the n ot the n+1 times a series a sub n then the series converges if both of the following criteria are met: 1) the limit as n goes to infinity of a sub n is equal to 0 and 2) each following term of a sub n is smaller than the previous term Again, the student got a hold of how to use this test relatively quickly, and we had time to do several examples and even get to the definition of conditional convergence: If an alternating series is convergent, but a sub n is divergent by itself, the series is said to be conditionally convergent. If even a sub n is convergent by itself, then the series is absolutely convergent. I told him that a good example of conditional convergence if the series (-1)^n over n. This was one of our best classes yet. It was productive, and it had a great pace."
"The student is working on inequalities, and before we got started he admitted that he was very challenged by the topic and the method he was taught. I explained to him the concept very clearly about the direction of his graph on a number line as well as how to solve them using the same methods he would in solving regular linear equations. He did have a practice worksheet on the material which he said he had completed most in class but it had several mistakes in which we went over and corrected step by step until he was sure of how to solve the problems. Although he had new material for homework, the student said his quiz the following day wouldn't be on that material but on a concept we had studied two sessions back. We did a few more problems from the new material and then we went over the old material to prepare for his quiz the following day. He had two practice quizzes in which he did well on."
"We started a comprehensive review of the material covered in Algebra up to her current level, in preparation for the ACT exam she plans to take in June. Our focus today was on Pre-Algebra and Geometry."
"Today we covered integers, absolute value, and adding and subtracting integers. We used gizmos to help us manipulate some practice problems. We also reviewed over her homework her teacher assigned. Overall the session went very well."
"In today's lesson, we mainly focused on how to find the volume of cylinders, cones and pyramids. Additionally, we spent about a quarter of the session reviewing techniques for converting mixed numbers to improper fractions as well as problems associated with missing supplementary, and complementary, angles. Next week, we will spend more time with mixed numbers/improper fractions, angles/lines, and review material related to statistical/experimental design."