Recent Tutoring Session Reviews
"I think we've finally found a method of simplifying fractions that works for the student! We're using divisibility rules first to find some common factors, then prime factorization to make sure there are no factors in common. This process is really sticking in her head in a way that other processes haven't, previously. I think that's because she's still struggling a bit with her multiplication tables, so this method lets her simplify fractions without needing to know those factors just yet. However, for the last fifteen minutes of the session or so, we did go over the multiplication tables together. I'm hoping that quizzing her this way will increase her familiarity until it becomes automatic. I've assigned her six pages of homework (2 problems per page) that should be completed at a rate of one page per day."
"Today I spoke to the student's mother. She stated she had a Parent Teacher Conference with his math teacher. His math teacher stated that the student was a very bright boy and did not have any problems with the material. We decided that we would spend each session together by first going over homework or other materials the student is learning in school, followed by my own original lesson or practice problems that would take it one step further in difficulty, which is what we did together today."
"In today's session, the student wanted to review some of the topics from the last session yet again, particularly focusing on some of the topics that had come later in the unit, such as using DeMoivre's Theorem to determine the roots of complex numbers. First, we proceeded through a few problems he had selected because he was not sure how to begin; these mostly required him to convert a Cartesian equation or graph to a polar equation. At first, this was challenging for him. After hinting to him that an analogous process involving substitution could be used, and furthermore hinting that the Pythagorean trigonometric identity would be helpful, he soon became comfortable with these problems. Then, we moved on to DeMoivre's Theorem and practiced using it to find the fifth roots of a complex number. The process seemed to make sense to him and he was soon comfortable with the concept. We will address these areas again next session to keep the material fresh in his mind."
"Today we covered area integrals in polar coordinates, calculation of arc length of curves, Taylor expansions, indefinite integrals, integration by parts, and volumes of rotation."
"We worked on extended response problems. I specifically helped the student show work and provide a detailed explanation for a very involved story problem."
"We reviewed the student's homework for the week on multiplication and division, then spent some time explaining how to do anything she had gotten incorrect on her in-class assignments."