Recent Tutoring Session Reviews
"The student and I began by reviewing probability and combinatorics, which we had trouble with when we had last met. Our first goal was to understand what mathematical functions describe the combination or permutation of finite groups of objects. The first difficulty was finding whether a specific problem was describing a combination or a permutation of objects. We decided a rule of thumb would be whether the order of objects mattered or not - if so, we would be discussing a permutation, otherwise a combination. Our next step was to understand how combinatorics interfaced with probability. In these questions, we could use the likelihood of a given event in a set of events - along with the number of times that given event occurs in the entire set of events - to figure out how likely it was to, for example, get exactly three heads out of five heads-or-tails coin flips. The student took well to this combination of ideas and we were able to apply it to a few more problems successfully. We hit a snag when talking about probability in a set of undetermined size, but we will discuss that more next week. Next week, we will briefly touch on combinatorics and probability once again and spend some time talking about conics."
"We worked through practice tests - under time constraints and without time constraints. We then reviewed what went well and assessed mistakes. We discussed general approaches to certain problems."
"We worked on areas that the student seems to be struggling with the most: geometry and numbers and operations."