Recent Tutoring Session Reviews
"This student is learning about simplifying radical expressions. We reviewed several problems from her homework, and I showed her two alternative ways of looking at these problems (exponent form, as well as a "shortcut" that I have found many students find way less confusing). The student was struggling most with how terms that come out of the radical "amplify" the coefficient in front of the radical. I showed her that looking ahead at some introductory calculus concepts (derivatives - power rule) that this becomes a very common behavior when manipulating terms that have a coefficient. This student has a positive attitude about the material despite the instruction style of the textbook being rather confusing. I believe that she now has a much firmer understanding of simplifying radicals, but I will be assigning a small homework assignment for her to work on before our next session."
"This student is super excited to be learning. We worked on facility with the number line, and being able to tell the number that comes before and after x. We built addition equations and she practiced explaining how she arrived at her answer. We also worked algebraic thinking, where she was given equations with a missing addend, and she had to find a way to solve it. She worked really hard and was extremely motivated. Next session, we will continue with a focus on the numbers 1-20."
"This was a 1-hr session. We worked several integration problems by the method of partial fractions, including rational and irrational fractions, and those including quadratic functions which couldn't be factored in the denominator."
"This was a great first session! We logged onto the student's course website and started at the beginning: intro to functions. She definitely understands bits and pieces. She is motivated and focused, and was pleased with her own progress by the end of the session. I'm looking forward to working together more!"
"This was a session with the student for Calculus 1. We went over sketching the graphs of functions, finding extrema (both local and absolute) of functions over various intervals, finding intervals of increase and decrease of functions, and finding critical values of functions. We got to practice taking derivatives, including using the product rule and differentiating trigonometric functions. We also went over the mean value theorem, and we did an example involving it. We will meet again tomorrow to finish his' assignment."
"This was an excellent first session. She is very motivated and likes to learn. We focused on differentiation rules and examples. At the end of the lesson, I gave her a quick tutorial on implicit differentiation her class is just now beginning on. We are changing the time of the sessions after tonight so it isn't so late."