Recent Tutoring Session Reviews
"We reviewed perpendicular bisectors, angle bisectors, altitudes and medians of a triangle, their points of concurrency, and properties of their concurrencies. I found missing segment measures using theorems of proportionality."
"We reviewed postulates for proving triangle congruence and looked ahead at some applications of relatively newly learned postulates dealing with parallel lines and transversals and the mid-segment Euclidean theorem."
"We reviewed problems about congruent triangles based on a given sketch and problems determining if a quadrilateral met the definition of a parallelogram. The student showed a good understanding of these concepts as well as recalling previously learned rules about parallel lines and related angles."
"We reviewed problems in Chapter 5 of his textbook that dealt with parallelograms and other similar quadrilaterals like squares, rectangles, and rhombi. The student had no much difficulty in solving the review questions/items, though he needed some extra time when working on proofs. He seemed well prepared and fully concentrated throughout the session. I suggested some pointers when doing proofs, like using the indirect proof or proof by contradiction when appropriate. I advised him to leave the proving part in a test for last, due to the risk of having one unsupported step ruining the entire proof."
"We reviewed problems with congruent trials and also two-column proofs. The student struggled a bit with solving equations when the angles are given in terms of variables. We reviewed factoring and solving linear and quadratic functions."
"We reviewed proofs and analysis of proofs. The student understands the concepts very well, but still continues rushing through each question before reading and understanding the question fully. The main strategy I tried to stress was to read each question twice; once to go over his typical approach to answer the question, but a second time to understand the question being asked and all the parts included. We will continue to work on the vocabulary and definitions to help with the reasons behind each proof he encounters."