Teaching

Teaching philosophy overview:

I wholeheartedly believe that the undertaking of mathematics as a career is akin to a learning curve. This learning process takes place at various stages of one's mathematical life. Indeed, in the first stages, most of our learning takes place in the classroom from our instructors. As we progress, we start to learn through conversations with our peers and colleagues. We also learn through training from our advisor(s) and mentor(s). We learn by attending talks from specialists. And so on, and so forth. This observation lead me to the natural conclusion that effective communication is a central aspect of mathematics; and so effective teaching is necessary for the betterment of one's impact on mathematics as a whole. In particular, many revered mathematicians have been prominent teachers, in one way or another. Therefore, I believe that it is a mathematician's duty to be an outstanding teacher. It is on the basis of this belief that I strive to continually improve my teaching qualities.

While mathematics can generally be a daunting discipline for most people, it can be equally so for the most seasoned specialists. In my estimation, breaking the psychological barrier separating mathematics and those seeking to learn it, sums up the duty of a mathematics educator. I have set three characteristic goals to fulfill this duty: (1) motivate the study of mathematics, (2) promote active learning and (3) create a low-stress educational atmosphere. These principles are closely connected to appraisal theory, which is effective in the context of mathematics teaching.

Regular Semester Teaching

Teaching Assistantship, SUNY: Stony Brook University, Department of Mathematics, 2020

I have been continuously working as a teaching assistant for the Mathematics Department at Stony Brook University during regular semesters since the start of my doctoral studies (Fall 2015). My duties consist of a combination of some or all of the following, depending on the course.

  • Leading recitations,
  • Grading,
  • Proctoring examinations,
  • Producing solutions for homeworks and/or examinations,
  • Holding office hours,
  • Weekly one-on-one tutoring at the Mathematics Learning Center.

Summer Teaching

Instructorship, SUNY: Stony Brook University, Department of Mathematics, 2019

In addition to being a teaching assistant during regular semesters, I also served as an instructor for the Mathematics Department at Stony Brook University during summer semesters of the years 2016, 2017, 2018 and 2019. My duties included the following.

  • Syllabus development,
  • Lecturing,
  • Proctoring examinations,
  • Creating homeworks in addition to exams,
  • Producing solutions for homeworks and examinations,
  • Holding office hours,
  • Weekly one-on-one tutoring at the Mathematics Learning Center, and/or grading depending on the number of students enrolled in the class.

Mathematics Summer Program

High-School Program, Institute for STEM Education, Stony Brook University, 2019

I have been selected by David Kahn to be an instructor for the Mathematics Summer Program. Below, you can find the contents of the mini-courses that I taught, with a breakdown of the topics for each lecture.