Recent Tutoring Session Reviews
"In this session, we focused on hypothesis testing homework. Hypothesis tests involved one sample mean and one sample proportions. The tests involved setting up the null and alternative, calculating the test statistic, finding critical values, p values, and interpreting the results."
"Matrix operations was covered along with transpose and squared matrices. The student struggled with matrix multiplication but I showed him an equation that allowed him to grasp the concept quickly. He had a great attitude throughout the whole session and we did many practice problems additional to his homework assignment. I explained to him to always label his solutions when working through any problem. He doesn't know his grades because the professor doesn't post them online, but he does have a test coming up shortly."
"Mom mentioned that the student recently started school, and although he has been doing well so far, he recently was having some trouble in math with fractions. He is currently learning to add and subtract mixed numbers. We practiced by finding the common denominators and by converting the mixed number into improper fractions to then perform the operation. Then, we practiced converting the mixed number back into an improper faction and reducing (simplifying). He did very well, and we did further practice online. I moved forward and taught him to multiply and divide mixed numbers as well. I taught him to divide fractions via the "keep-change-change" strategy. Mom and I discussed previewing upcoming lessons moving forward, as this helps build his confidence in class."
"Most of the time was spent on practicing L'Hopital's rule, but we did examine a couple sequence problems. We started on Partial Fractions, and I'll get back with her on some sample problems she suggested."
"Most of tonight's session was dedicated to understanding and working out partial fractions and decomposition. We practiced some several problems involving decomposition, and I showed her a few different methods for how to solve for the coefficients in the numerators. We got hung up a bit on the last problem we did, which was a tricky one involving a bunch of trig terms, but we'll revisit it next time we meet."
"Multiplication and long division. He is mostly fine with multiplication (just needs to pay attention to detail), but was struggling with the concept of long division, so I showed him a different way of computing it then he had been taught in class that laid bare what the process of long division is actually doing, and he was able to grasp it after that. By the end of our session he was able to compute by hand the most complex examples I could give him. He seems to struggle keeping on task, but was enthusiastic, and did all that I asked of him when he was prompted to return to the task. I did not leave him with extra practice at this session. Instead we completed an assignment that he struggled with, and he was able to return it to his teacher for full credit. I feel his long division skills improved drastically with the new method, to the point that they may be a strength for him now. He is a very smart kid!"