Recent Tutoring Session Reviews
"The student was working on applications of derivatives including related rates problems and finding extrema. We reviewed all of the letters used in equations for related rates. We talked about the importance of writing the physical equation, finding the derivative equation with dv/dt where v is any variable, and using algebraic methods to solve for the unknowns."
"We reviewed concepts in exponential differentiation. We also reviewed dual variable derivatives as it relates to position and rates of change. He was able to understand the correct way to solve each problem. I also showed him tools he could use to improve his algebra. Overall it was a good session."
"The student and I continued working through his lengthy power series expansion assignment today. He is getting much more comfortable with the process."
"The student and I reviewed some concepts that she'd been struggling with in class. She and I broke the problems down further into smaller, more easily understood steps. The best way to master these are by repetition. So, she and I went through several iterations of solving for x in complex situations. I had her walk me through it as if I were the student. I also encouraged her to do some more practice on these types of problems and check the answers with her instructor to ensure mastery. We also talked about general test-taking best practices and how to apply them to this material. I feel confident that with the tools we worked on together and with some independent practice, the student will have no problem excelling with this material going forward."
"We're covering the same general topics of simple polynomials. Working in her workbook we focused on expanding (using the distributive property) and simplifying polynomials. One of the goals is to realize that the same expression can be written different ways. One thing I talked about with her that wasn't in the homework was about how to deal with negatives, that adding a negative number is the same as subtracting that number. I also showed her that convention writes expressions in the form a-b instead of -b+a. I clarified how PEMDAS works in problems we had been doing. I also showed her how to use fractions to multiply and divide instead of decimals and how to cancel out common factors. We also talked about the fact that every whole number has an unwritten decimal to the right of the last digit and has infinite zeros behind it."
"Tonight, the student and I worked mostly on her chapter 7 review for her quiz tomorrow. It covered concepts such as finding probability according to a chart and in word problems. It dealt with using z-scores to find probability as well. She and I talked extensively about remembering that z-scores find area under a curve and how probability is area under the curve. We worked on finding the expected value of x as well and finding mean, standard deviation, and variance using the formulas. She is struggling the most with applying concepts. All of the different ways in which to do a problem are jumbling in her head. Once we talk them out, she understands which one to use. I believe that she will do fine if she uses her context clues to piece together what she knows. If she can associate certain parts of statistics, like mean and standard deviation to z-scores, it will help her better understand which concept to use. The student and I talked about using highlighters to help pull out words so they stand out more to her. We also talked about using process of elimination and on questions where one of the answers is all of the above, knowing that two are right typically means all are right."