Recent Tutoring Session Reviews
"Today we covered special circumstances factoring: the sum and difference of two cubes, the difference between two squares, and trinomials with perfect squares."
"The student has a test tomorrow, so we had a special review session tonight. We worked on solving 2- and 3-variable systems through substitution and elimination, linear programming, and matrix math (specifically matrix multiplication)."
"The student and I reviewed matrices - adding/multiplying them, finding determinant, solving for linear equations and inverse matrices. He knows how to tackle each of the problems. Once he knows what to do he is able to run through the entire problem by himself. I had him do a problem on one sheet and while I looked over his math, he would do another one."
"Yesterday, the student and I looked at finding the volume of objects formed by rotating functions about the y-axis via the cylindrical shell method. From my experience with online homework, I know I can often feel lost and unable to see my mistakes in my problem when I keep entering in values and they get rejected. So, I highly recommend solving the problem out completely on paper and then running through each arithmetic and algebraic and differentiating/ integrating step on paper and then after meticulously going over everything you triumphantly type your answer into the computer and if it does get rejected, you can scan your paper for errors. Just don't fall into the trap of thinking the computer is an evil mastermind that controls your future, which is how I felt an hour before the due date when it kept rejecting my answers. Paper and pencil grunt work goes a long way toward conceptual understanding. The student is really solid on getting limits, solving integrals, and distributing the constant to each term. Keep it up!"
"The student and I spent our session working on a few of his homework problems covering the introduction to derivatives. He did very well with the assignment, only needing assistance on setting up the limit definition of a derivative. After completing the assignment, we spent the remaining time looking forward to the power rule and trigonometric derivatives. He will continue to keep up with his assignments and do his best to not fall behind with his homework."
"The student and I spent half of the session going over a practice word problem that was in a 6th grade math diagnostic test that I provided. Through one basic algebra problem, we addressed the following topics: ratios/ fractions, division, places (tenths, hundredths), multiplication, the meaning of "X", and equations. She needed a lot of definitions and examples for these concepts. As indicated, she has trouble with her multiplication tables for numbers 3, 4, 5, 6, 7, 8, 9, and 12. She knows the answers but still has to think about them and figure them out on paper, with her fingers, or by speaking. We spent the last half hour outlining some interesting patterns in the 5's and 9's multiplication tables and assessing which numbers she has mastered and which she needs to work on more. It is our goal to memorize the tables and answer simple multiplication problems in less than five seconds. She really has an I-can-do-it attitude and is a very positive learner. She takes initiative and responsibility for her learning, feeling free to ask questions and be clear about what she knows and doesn't know. She responds great to positive incentives, and we worked out an incentive system with pieces of gum and chocolates for learning her multiplication tables. She has asked me to help her with her homework for the first part of the session and play a multiplication game the second part. I agreed that this would be a good structure for the session at this point in time. I left her with the diagnostic test that she can keep as an extra set of problems to work on."