...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)
...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. Because (m, n) ? R-1, (n, m) ? R. Therefore, (m, n) ? R and (n, m) ? R. (read more)
...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. My PhD is in Chemistry, 1988. I have not worked since 1990, since I was a full time parent.I have a PhD in Chemistry. (read more)
...While teaching at Syracuse University, I received the Outstanding Teaching award from the Graduate school in Spring 2022 for my teaching skills. I have taught multiple mathematics courses as a middle and high school teacher and a college instructor, including Pre-algebra, Algebra 1, Geometry, Al... (read more)