Recent Tutoring Session Reviews
"The student texted me last night about meeting early this morning, and I was happy to accommodate. The new wrinkles for the problems we covered were: 1) non-real roots of a polynomial of a certain degree, where certain roots would be presented and based on those we'd give another non-real root, the maximum number of non-real roots, and the minimum number of real roots; 2) describing a graph based on shape and predicting its possible degree based on that shape plus the number of extrema shown; and 3) rules for logarithms. We ended by going through a bunch of review questions from earlier sections, and we will meet again at the same start time on Wednesday."
"We covered review problems on the topic of radicals (adding, subtracting, multiplying, and division) and also reviewed some problems on inequalities, and graphing equations finding domain, range, and intercepts. I worked with the student on how to find a good strategy analyzing and solving the problems, and it seemed to work well for her. The student felt better after the review session indicating that she "felt smarter every second that passed.""
"We covered significance testing for the student's current midterm. She seemed to be able to identify which tests were necessary for every scenario, but needed assistance with identifying what resultants to use in her answers and how to interpret them. We reviewed the SPSS system and how to conduct each test covered. I then broke down all the charts used in the test, including their purpose and how to incorporate them with her answers. We finished the session reviewing how to propose null and alternative hypotheses."
"I helped the student better understand the section of the textbook in which he was working, which dealt with integrating using trigonometric substitution. We then worked on a few problems from the textbook. He seemed to have some difficulty at first, but after going through some problems, he seemed more comfortable it."
"We discussed integrals conceptually as anti-derivatives, operations that undo derivation. We walked through the methods to compute indefinite integrals for exponents, which also included exponential functions and natural logs. We also discussed some of the student's problem areas, which include doing the algebra to simplify the equations."
"Today, we factored polynomials by grouping. We paid close attention to the difference and sum of two cubes. We did some problems together, and at the end we did a brief review of difference/sum of two cubes, difference/ sum of two squares, and other commonly used factoring shortcuts. The student has a quiz tomorrow. Last week, she got a 100% on her quiz! Next week, she has her quiz on Friday."