Watervliet Tutoring: Tutors in Watervliet, NY

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Session Summaries by Tutors

★ ★ ★ ★

"The student and I continued covering integrals. We went over and corrected a review test that he had taken, as well as completed some practice problems online. Topics covered included fundamental theorem of calculus, when (and when not) to do "u substitution", how to chose a "u", and general processes (remembering to find "du", remember to reverse substitute after finding the anti-derivative, applying boundary values, etc.). Once he had done a few, he developed a rhythm and then was very capable, so we will continue to practice identifying first steps after first viewing a problem."

★ ★ ★ ★ ★

"We continued our discussion of volume of revolution problems. In particular, we focused on the shell method. We also worked on several shell method example problems."

★ ★ ★ ★ ★

"In our last session, the student and I met to finish reading her assigned work and construct an evaluative essay on the friendship between two characters in the novel. We read together, "popcorn" style (trading off reading aloud while the other person followed along), and stopped to summarize every few pages. We then selected quotes together and talked about the best ways to demonstrate the student's claim that these characters are an example of a deep and enduring friendship. "

★ ★ ★ ★ ★

"We discussed progress in several subjects. We prepared for the student's history test on the Middle Colonies. He completed his essay assignment requiring him to write a letter from the perspective of a colonial citizen who had moved to the Middle Colonies from New England. The student organized and wrote an excellent letter from the perspective of a successful farmer living in Pennsylvania. In it, he reiterated what he learned about the land, geography, economy, political and religious policy, and social life of the Middle Colonies, as well as how each compared to the New England colonies. Finally, we reviewed his history textbook's coverage of the material and I quizzed the student on possible test subjects."

★ ★ ★ ★ ★

"Today we went over the previous essay we worked on together as well as a new essay the student had written. She did very well in going over my edits and figuring out the best way to use or improve them! She has one solid essay to turn in for her common college application. We then worked on a short one paragraph essay for her college application. I helped her understand what the question was asking and how to best answer it without going off topic. She picked this up very quickly! We then worked on a previous essay she had written for a class that she was thinking of using for an extra essay for her college applications. I helped her find what she should change by reading over the essay and letting her hear what mistakes were in the paper. She was able to pick out over 60% of her mistakes and correct them properly. She is improving so much!! "

★ ★ ★ ★ ★

"In this session, we worked on optimization problems. More specifically, we worked on word problems that required we optimize the volume of a box created by notching the corners of a sheet of material and folding the edges as necessary. We were able to express the volume in terms of the side lengths of the notches and solve accordingly. The problems that we reviewed required a strong understanding of the actual domain and how to graph and interpret the graph of the resulting functions. Using the graph, the student was able to trace the optimal quantities within the domain. The student's greatest struggle was in formulated an applicable equation from the word problem. Also, the student had difficulty in assessing what the actual domain was based on real world constraints. Once an equation was established, though, she displayed strong skills in graphing and analyzing the graph."

★ ★ ★ ★ ★

"We started reviewing for the final by going over chapter 1 concepts. The student reviewed slopes, domains, ranges, graphing, and transformations. He didn't remember the material too well, so I had to reteach it to him. He's very optimistic when it comes to learning. When he understood it, he would think of analogies or tricks to remember it. He's also gotten better about using his calculator to do problems so he avoids any simple mistakes."

★ ★ ★ ★ ★

"Today we covered division of polynomials by a binomial. Although at first the student struggled a little, she got better as we did more practice on the concept, and by the end of lesson, had improved greatly. I was very proud of her because this was a new concept for her. I think if she will just remember "DMS" and the distributive property, she will see continued success on this concept. "

★ ★ ★ ★ ★

"We went over some exponential problems for her test tomorrow. The biggest thing that she's having trouble with is taking the word problems and understanding the steps to get to the answer. We worked through a few tonight, but she should work through a few more tomorrow just to make sure she understands the procedures."

★ ★ ★ ★ ★

"The student and I discussed many topics in physics and calculus. His calculus work has become very easy for him. They are going over multivariable calculus, and he understands that this is just single variable calculus with a couple extra rules. Because of this, he is able to easily solve the questions given to him. In physics, we have discussed torques on systems and rotational motion, as well as some new work on statistical mechanics. He understands torques very fundamentally; however, his understanding of statistical mechanics could use some work. Practice over the weekend will help prepare him for his test and allow him to do well. "

★ ★ ★ ★ ★

"We reviewed multiplication facts and math homework. We discussed how to write an effective paragraph using the student's mushroom study at the farm as the topic. We also talked about how to do research on the internet and the fact that not all webpages are trustworthy. I presented the concept of looking for "peer reviewed" information. We did some further research on mushrooms using an academic index site. We also continued reading the book "Hatchet" together."

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Session Summaries by Tutors