Recent Tutoring Session Reviews
"The student is still on spring break so we have been working ahead, putting into practice the Pythagorean theorem, recognizing the Pythagorean triples and multiples of triples. He worked problems that involved recognizing right triangles in three dimensional solids like a cone or a pyramid, as well as solving for missing dimensions using known information and then using information given or found to solve for the lateral surface area."
"As the student has been on break from school for spring break for the past 2 weeks, she did not have any assignments from her teacher. As such, she and I began to review the material covered in the next chapter of her textbook. We discussed graphing lines with two variables and how to determine if an equation is a function or not -- by using the vertical line test and/or by looking at the points contained within a linear graph to see if any x-values are repeated. She did very well in today's session. We will meet again next week."
"We went over series. We covered the limit comparison test, the comparison test, and geometric series. The student was quite positive about learning the material. She seems to understand everything, with just a few issues connecting the ideas during tests. I have no concerns for this session."
"We reviewed a chapter on absolute value from the student's book so she had more practice with positive and negative numbers. I gave her an introductory chapter in algebra to review and a chapter on fractions to review. She still has some trouble with negative numbers and fractions so hopefully more review will help."
"Today, the student focused on completing her homework first. She had 4 problems, which were review division, multiplication, and expanded form. The first were simple to her as she worked through the steps to divide, but I encouraged her to check her division answer by multiplying. She is always willing to do this and realized that she had a different answer. We looked at her division steps and she found her mistake quickly. It was her idea to use the break apart method (the box) to show her double digit multiplication and she did solve it correctly. She was happy about that, proud of herself! She must be practicing because she was able to understand powers of ten in her homework enough to analyze the mistake of a student and explained how to correct the problem. This is part of her homework, to analyze the work and see what is correct or incorrect. Next, we worked for awhile on expanding numbers with decimals. She needed some guidance on understanding that .8 is also 8 x .1. She just needs more practice. She brought out her class assignment that she didn't finish and she breezed through that. She has great confidence. Then we worked on a fraction game that she enjoys which is just to help her realize which is larger. Next, we will try this without the pictures. We also practiced dividing with decimals and she caught on quickly."
"Today we worked on cross products, both conceptually and mathematically, compared them with dot products, and worked on vector and plane equations. Laying out problems with a set of xyz axes and drawing vectors on the axes seemed to help quite a bit in visualizing the problems. While working through problems with cross products, we went over the right hand rule and the magnitude equation. This way, the student was able to determine the magnitude and then find the direction. We talked about how we can estimate how large or small the resulting magnitude would be based on the angle between vectors, and how the result is also the equation for the plane that the two vectors make up. Furthermore, we discussed how a dot product will result in a large value if the angle is small, and a small value if the angle is large. Lastly, we went more over points, vectors, planes and how to determine them given points, vectors, or planes. Overall the session went well and it seemed like we got a couple of concepts to 'click.' I feel that this sudden understanding is a great feeling for the student since they not only learn concepts more thoroughly, but also become more confident in seeing problems in different ways and having those problems click."