Recent Tutoring Session Reviews
"The student and I started by discussing some of his interests and school. He likes computers and is taking computer science (he also told me that he rebuilt the keyboard we were using during our session). He's active in scouts and also is certified to scuba dive. In terms of school, his math class rarely uses the textbook. He is worried about his foundation in algebra as he moved between 3 different schools last year. He is also concerned about how his algebra skills are impacting his geometry course. He doesn't think he's doing too bad in the course, but feels he could do better. He said currently in his class they are working on finding the exact area of different shapes and working with angles. We went over a review sheet from his class. He had difficulty manipulating equations and applying the properties of exponents and square roots. That will be an area we'll focus on; next session, we are also going to discuss doing an assessment for both algebra and geometry. I want to wait to talk with him about them before sending them to him. We did problems based on right triangles, rectangles, squares, and rhombi. He did well computing values. He is in the habit of drawing and labeling diagrams, which is good."
"The topics covered today include factoring, simplifying expressions, and lowest common denominators. Practice problems online and in the student's packet were worked through and completed. The student struggled most with knowing what steps to take when faced with a problem, and identifying the lowest common denominator. After working through several problems, the student seemed to catch onto the techniques and be able to solve most problems on her own. Math organization skills were suggested, and the student began to use them during notation work. With more practice problems, the student should gain fluency with the subject."
"The student had a light homework day today -- she needed to finish a worksheet for math, and to do some math & language arts. The math homework was graphing, which she is good at. She is a visual learner, so I think she likes how clearly graphs present information. We are paying close attention to the fractions and ratios section of the homework, she seemed to understand my explanation for how ratios and fractions were similar and different. Even if she didn't fully understand what I was trying to teach her, I am optimistic that she will learn more in class and that we can practice these concepts more in the near future."
"Today the student and I worked on performing hypothesis testing and analysis of linear regression models. This seems to be the final unit of her class, so we worked on reviewing all of the concepts that have led up to this point in order to make clear why one performs a hypothesis test on the slope of a regression model, where this process actually comes from, and how it informs the type of analysis statistics attempts to perform. After this brief review of where we've been, I talked through the process of testing to see if the slope of a regression model is statistically different from zero. We reviewed the concept and theory of hypothesis testing and how it applies to her current work. We then did a few practice problems to work through the entire process, and at each step of the problem I explained what exactly was going on and why it was important to the process. There are a lot of moving parts to this process, so by slowly walking through each of them and explaining how they all fit together, the concept of a hypothesis test for the slope became a lot more clear for her. Once this was in place, performing the test itself seemed to become a lot easier for her. I think she was a lot more comfortable with the whole idea by the end of our time together, and I think it was a very productive session."
"The student had an assignment to complete on solving quadratics. Problems involved the use of the square root property, completing the square, the quadratic formula, and the discriminant. He just needs to remember to use the square root property when he can, to make sure he's avoiding small calculation errors, and to study and practice the discriminant more."
"The student and I did a review for an exam he was going to have. So we worked on a variety of problems including quadratic equations where we needed to factor a trinomial and find the roots. We solved rational equations where we needed to multiply by the denominators to make the problem more accessible. We also discussed log functions which were applied to growth functions and exponential decay. Lastly we worked on cubic functions. This was a great review of many of the functions covered this year. He needed help remembering specifics about each function and how to use them. However with a little reminding he was able to pick up on it fast."