Eric J. Hanson - Teaching

Teaching Awards:

I am the recipient of the 2017-2018 Math Department Graduate Student Teaching Award (Brandeis) and the 2019 Graduate School of Arts and Sciences Outstanding Teaching Fellow Award (Brandeis).

Curriculum Redesign:

During the summer of 2018, I worked with Becci Torrey and Rose Morris-Wright under a Brandeis teaching innovation grant to revamp the Brandeis precalculus curriculum. We redesigned the course to utilize Standards-Based Grading and Team-Based Learning. These research-based teaching methods are designed to increase learning and decrease student anxiety through the use of a flipped classroom and transparent grading. I have since used various aspects of these techniques in several of my courses, including the use of both in my Spring 2024 linear algebra course.

Past Teaching and Mentorship:

MATH 132: Computational Mathematics for Life and Management Sciences (online section), Fall 2024, NC State University (instructor) -- Syllabus
MATH 114: Finite Math (online section), Fall 2024, NC State University (instructor) -- Syllabus
MATH 493: Calculus II Bridge Course (online section), Fall 2024 Session 1, NC State University (instructor) -- Syllabus
MATH 305: Introductory Linear Algebra and Matrices, Spring 2024, NC State University (instructor) -- Syllabus
- Taught using standards-based grading and team-based learning
MATH 242: Calculus III, Fall 2023 and Fall 2025, NC State University (instructor) -- Syllabus
Mitacs Globalink Research Internship Mentor (representations of quivers), Summer 2022, UQAM (research mentor for two international undergraduate students)
MAT 7200: Homological Algebra/Algèbre Homologique, Winter 2021, UQAM (Instructor) -- Syllabus
MATH 240: Discrete Structures, Fall 2021, McGill University (Instructor) -- Syllabus, Syllabus Supplement
MA 3203: Ring Theory/Ringteori, Spring 2021, NTNU (Instructor) -- course webpage
Math 36a Probability, Summer 2019 and Summer 2020, Brandeis (Instructor) -- 2020 Syllabus, 2019 Syllabus
- - (2020) Taught remotely in 2 sessions using peer learning and a flipped classroom
Math 5a Precalculus, Fall 2018 and Fall 2019, Brandeis (Instructor) -- Syllabus
- - Taught using standards-based grading and team-based learning
Math 10b Integral Calculus, Spring 2018, Brandeis (Instructor) -- Syllabus
Math 10a Differential Calculus, Fall 2017, Brandeis (Instructor) -- Syllabus
MIT PRIMES Mentor (hyperplane arrangements), Spring 2020-Fall 2020, MIT (High School Research Mentor)
Differential Privacy (Undergraduate Directed Reading), Spring 2020, Brandeis (Mentor)
- - Topic was an introduction to the theory and basic mechanisms in differential privacy, with a specific focus on applications in machine learning.
Category Theory (Undergraduate Directed Reading), Spring 2018, Brandeis (Mentor)
- - Topic was an introduction to the language and terminology of category theory, with a specific focus on constructions of limits and colimits in categories enriched over monoids.
Math 131a Algebra I, Fall 2020, Brandeis (TA)
Math 115a Introduction to Complex Analysis, Spring 2020, Brandeis (TA)
Math 28a Group Theory, Spring 2017, Brandeis (TA)
Math 15a Linear Algebra, Spring 2017, Brandeis (TA)
Math 36a Probability, Fall 2016, Brandeis (TA)

Talks and presentations about mathematics education:

Probability Through Paradoxes
- Boston Math Teachers' Circle, Harvard University -- Feb. 2020
Should We Use Outcomes-Based Assessment in Calculus 1 and 2 (with Rose Morris-Wright and Becci Torrey) -- Slides
- T.A. Practicum (Math Dept.), Brandeis -- Nov. 2019
Outcomes Based Assessment in Precalculus (with Rose Morris-Wright and Becci Torrey) -- Poster
- Education Seminar, Boston College -- Feb. 2020
- Teaching Innovation Grants Poster Session, Brandeis --Nov. 2019