Teaching Experience

UNDERGRADUATE TEACHING

I was the instructor of record for each of the following courses at UNC-Chapel Hill.

MATH381 Discrete Mathematics (Fall 2021, 40 students)

MATH118 Aspects of Modern Math (Spring 2020 and Fall 2019, 40 students each semester)
This is a course aimed at students majoring in the humanities. We covered a variety of mathematical concepts including graph theory, RSA cryptography, fractals, wallpaper patterns, and (discretized) SIR modelling. I had full autonomy over course curriculum, and I fully developed the curriculum for teaching RSA cryptography and SIR modelling.

MATH 130 Precalculus (Summer 2019, 10 students)

MATH110 College Algebra (Spring 2019, Fall 2018, Summer 2018 with 40, 60, and 10 students respectively)

CANADA/USA MATHCAMP

Canada/ USA Mathcamp is a 5 week summer camp aimed at high-achieving high schoolers in math. I was the instructor of record for each of the following courses, and developed the curriculum for each course. All courses were taught virtually and some courses were taught via Inquiry-Based Learning.

Introduction to Group Theory- This was a 1 week course with 40 students. We covered definitions of groups, homomorphisms, cosets, etc. The main results covered were Lagrange’s Theorem, the first isomorphism theorem, and the structure theorem for finite abelian groups.

Representations of Symmetric groups- This was a 1 week course with 10 students. We covered basic representation theory as well as finding all of the irreducible representations of symmetric groups.

The Mathematics of voting- This was a 1 day course with 10 students. We covered Arrow’s impossibility theorem.

Non-Euclidean geometry- This was a 1 week course with 10 students. This was an inquiry-based learning course where students worked in groups and used online applets to explore spherical and hyperbolic geometry. Students explored concepts such as triangle angle sums, Saccheri quadrilaterals, circles, triangle area measurements, triangle congruencies, etc.

Taxicab geometry- This was a 2 day course with 10 students. This was an inquiry-based learning course where students worked in groups to explore taxicab geometry. Students explored concepts such as triangle angle sums, circles, triangle congruencies, ellipses and hyperbola, etc.

OTHER TEACHING-RELATED EXPERIENCES

Spring 2020: Mentored an undergraduate Latina student through the Directed Reading Program at UNC-Chapel Hill. She was reading about elementary number theory and cryptography.

Summer 2017: Mentored a female high school student learning non-Euclidean geometry at the Frontiers of Science Institute that is held at the University of Northern Colorado. I developed the curriculum for this experience, which was done via Inquiry Based Learning.

Fall 2014, Spring 2015, Spring 2017: Observed secondary education classrooms in Greeley, CO and Loveland, CO.

2013-2015: Tutor in Greeley/Evans School District 6 (in Colorado). Tutored mainly in high school classrooms as well as middle school classrooms.

EDUCATIONAL THEORY COURSES TAKEN

Spring 2021: Audited the course EDUC752: College Access and College Admissions Counseling
I audited this course, which included units on educational psychology and effective teaching practices.
Fall 2017: TA Teaching Seminar at UNC-Chapel Hill
Explored effective teaching practices and utilizing technology in the classroom.
Fall 2014 EDF366: Conceptions of Schooling
Covered teaching methodologies and the social and historical foundations of education in America.
Spring 2015 PSY349: Educational Psychology
Explored the psychology of learning and related effective teaching practices.
Spring 2015 EDSE 360 Adaptation, Modification, and Integration of Curriculum for the Secondary Exceptional Learner
Explored ways to adapt teaching practices for advanced and special needs students

OTHER PROFESSIONAL DEVELOPMENT

Fall 2021 Teaching Students to Teach Themselves
One day workshop on effective study techniques and self-regulation of learning.
Fall 2021 LGBTQ+ Allyship in the Classroom
One day workshop on inclusive teaching practices related to LGBTQ+ students.
Fall 2019 Energizing the Classroom: Active Learning and Evidence-based Teaching
One day workshop on active learning techniques.