Recent Tutoring Session Reviews
"Topics covered: 1. Linear independence/dependence 2. Linear transformations 3. Matrix transformations This session focused a lot more on the conceptual side so that the student can understand the internal concepts rather than just the mathematical. The concept of one-to-one and "onto" are no longer daunting and linear dependence is much more manageable now."
"We covered word problems again, specifically more D=RT types of problems. We also did a little work with percentages. I'm encouraging him to use scratch paper to complete his homework and to draw things out. I asked him to finish as many of the homework problems solo as he could."
"Tonight we covered more problem styles involving solving inequalities for different rational expressions, beginning to include both word problems and problems that involved first solving to convert the equation into a rational expression. The student was able adapt his previous problem solving strategies once he had converted the new problem type into one of the old problem types and we finished well within our time window. Since he has a quiz tomorrow we did not study ahead in the book, and will instead meet this Thursday once he has had his next class session."
"For Lesson 8: Properties of Numbers, the student scored 100% on both the Skills Update and Lesson Checkpoint quizzes. He worked independently for the first quiz, sometimes needing prompts to choose a strategy on the checkpoint quiz. He had forgotten the meaning of range, but recalled how to find mode. New concepts were number properties: commutative, distributive, associative, transitive and symmetric. Unit 13, Lesson 9: Comparing Numbers started with a Skills Update, the score was 100% for writing a ratio, finding mode, and minimal number in a box and whisker plot. He handily remembered how to read a stem and leaf graph. Lesson 9's Inequalities Checkpoint quiz score was 100% where the student worked with support. He struggles to recall the direction of the greater than and less than notations, where to shade the number line when graphing and whether to use open or closed circle; he used notes and review in order to answer questions. Finally, the Unit 13 Practice Test presented 12 questions. He scored 83% correct answers, having good understanding of signed numbers and inequalities. Mistakes were linked to confusion with interpreting notations -- are we adding or multiplying? how to use the order of operations? and directions of greater than and less than symbols? He will take the graded Unit test next week. He remains upbeat and motivated."
"The student and I reviewed order of operations (PEMDAS). He was fairly good at this. However, there were a few problems that he had trouble on at first. It was sometimes hard to decipher which operation to do first when there were operations with multiple division/multiplication or addition/subtraction pairs. A strategy that worked really well for him was to group numbers and the corresponding operation into parenthesis to help him solve the problem in the correct order. I advised the student that when he sees problems with multiple, similar operations, it's best to work from left to right while still following the PEMDAS rule. He and I also reviewed mixed fractions and improper fractions towards the end. He still had a very positive attitude throughout the entire session even when he didn't understand something immediately."
"First meeting with the student since his initial exam of the second semester. He was thrilled to report he scored a 98%!!! I am extremely proud of his efforts so far and feel he has an excellent shot at an A this semester if he continues with the same work ethic. Today we discussed inverses of functions which was mostly a review from previous work but going over the material again definitely seemed to help. Finally we began to discuss logarithmic functions and how they are inverses of the growth functions we dealt with recently. This seemed to be an extremely challenging concept for him, although I believe it began to sink in by the end of the session. I expect that we will spend more time in the next or future sessions on this subject to make sure it is second nature to him going forward."