A computer-rendered graphics I created for an upcoming textbook for Honours Multiviariable Calculus II. This was created in Geogebra utilizing splines.
I have two simple directives for myself as an educator. On a one-on-one level, my job is to support each of my students as an individual as they pursue their own path towards success. On a communal scale, my job is to create a safe and inclusive classroom through which students can build and foster community.
In my teaching career, I have supported these two directives through concrete actions, such as:
Writing diverse course materials as a Head Instructor (most recently for Ordinary Differential Equations), which included both lecture notes, worked examples, and visual examples.
Providing regular student-engagement surveys and adjusting course materials as needed (e.g. incorporating slideshows vs. board work based on student feedback, adding additional office hours to teach mathematical writing skills)
Incorporating the real-time use of MatLab in lectures to better suit the needs of Applied Math and Engineering students in my Ordinary Differential Equations lectures.
Co-authoring two free and open-source textbooks (together with Dr. Izabella Łaba) which teach more advanced topics in Multivariable Calculus. This included creating a large library of diagrams in Geogebra (a free graphing calculator software), which students are able to access for personal study (and for fun!) to better support their visual learning.
I have also spent a lot of time and thought in teacher training a development programs. This includes programs which are focused on mathematical pedagogy as well as general teaching philosophy and best practices. A short snapshot of my teacher training and certifications is as follows:
Certificate in Advanced Teaching and Learning (Sept. 2022- Oct. 2023). This year-long and interdisciplinary teaching certificate requiring over 150 hours of coursework for certification. This included: weekly lectures with professors affiliated with the Centre for Teaching and Learning Technologies at UBC, weekly group discussions with a cohort of teaching-focused graduate students, multiple practicums in the form of guest lectures in undergraduate- and graduate-level courses, curriculum and classroom development projects, and a research project and final essay on mathematical pedagogy.
Math Instructional Skills Workshop (May 2022). This week-long intensive focused on developing concrete and practical skills for lecturing mathematics at the university level. This included: writing lesson plans and syllabi, practice lectures, discussion of learning theories (e.g. the Kolb's cycle, active learning), and mathematics-education focused readings.
Mathematics Teaching Techniques (Sept. - Dec. 2019). This semester-long course offered by the UBC mathematics department taught me central skills for teaching mathematics at the University level. This also included reading and writing assignments, as well as a final practical examination (for me, this was presenting a lecture in a first-year differential Calculus course).
Another computer-rendered graphics I created for an upcoming textbook for Honours Multiviariable Calculus II. This gives an example of a bivariate function whose iterated improper integrals either converge or diverge, depending on the order of integration.
USRA in Integer Tilings. This summer (May - August 2025), I will be mentoring a group of undergraduates in a reading project, which is focused on the foundational results in the study of integer tilings. This group is specifically oriented towards under-represented groups in mathematics, and part of the mentorship activities include supporting students in writing personal statements, finding inclusive faculty mentors, and general goings-about of being someone "outside the norm" in mathematical spaces.
Killam Graduate Teaching Award. I was recently (April, 2025) awarded a Killam Graduate Teaching Award. It is a great honour to have represented the mathematics department in this competition.
Honours Multivariable Calculus I+II. Joint with Dr. Izabella Łaba, our first draft of our textbooks should be available open-source by August of this year (2025). Details to come shortly!