...I've also prepared students for the highly competitive Russian Math Olympiads. My teaching experience extends to Thailand and Denmark, where I've adapted to various curricula, including local standards, IGCSE, IB, and Common Core. I've even designed a sample math pacing guide for schools to facilitate effective learning. (read more)
...The only thing that I ask of my students is that they eliminate the word "can't" from their vocabularies. I also believe in education over memorization. This philosophy has enabled me to assist students, who were terrified of math, in reaching their academic and personal goals. (read more)
...I have two children now in college, at Ivy League schools. I was their primary caregiver throughout their childhood, and helped them with their schoolwork whenever they needed it. They both took math up through AP calculus (one of them took Calculus BC). One of them took AP Chemistry, the other took AP Physics, so I have seen some of the work done in those classes. (read more)
...It will now be shown that if R on A is antisymmetric, R n R-1 ? {(a, a): a ? A}. Let m, n ? A. Suppose that R on A is antisymmetric. Let R = {(m, n): m, n ? A}. Therefore, by definition of inverse relation, R-1 = {(n, m): m, n ? A}. Let (m, n) ? (R n R-1). By definition of intersection, (m, n) ? R and (m, n) ? R-1. (read more)