Teaching Experience

Courses taught at CU-Boulder

  • Spring 2016:
    MATH 3210: Euclidean and Non-Euclidean Geometry
  • Fall 2015:
    MATH 2001: Discrete Mathematics
    MATH 6210: Introduction to Topology (graduate)
  • Spring 2015:
    MATH 2001: Discrete Mathematics
    MATH 3130: Linear Algebra.
  • Fall 2014:
    MATH 3001: Analysis 1

    Courses taught at Dartmouth College

    Math 31, Fall 2011: Abstract Algebra.
    Math 2, Winter 2011: Calculus with Algebra and Trigonometry.

    TA Experience at Dartmouth

    Math 13, Spring 2010: Multivariable Calculus.
    Math 11, Fall 2009: Multivariable Calculus for Students with BC Calculus Credit.
    Math 13, Spring 2009: Multivariable Calculus.
    Math 8, Fall 2008: Calculus II.

    Other teaching experience

    In Fall 2013 I was Dr. Hanlon's TA for Math 11: Multivariable Calculus.

    During the 2012-13 academic year, I visited the Universidad Carlos III in Madrid, Spain, where I taught Mathematical Methods II: Linear Algebra (in Spanish).

    Teaching Philosophy

    There are many ways to learn and communicate mathematics: lectures and problem sets are only the tip of the iceberg. In my classes, I ask my students to explore some less-traditional ways to learn mathematics via assignments that incorporate readings, group projects, and student presentations, as well as problem sets. The weekly problem sets usually include one problem that students can re-submit as often as needed in order to earn full credit, with the goal of encouraging students to examine their mistakes and learn from them. I also make an effort to highlight the connections between the mathematics we learn in class and my students' other interests, through examples, homework problems, and student projects.

    For more details about my teaching philosophy, please see my teaching statement.

    Outreach

    As part of the Sonia Kovalevsky Mathematics Days , I worked with a team of Dartmouth undergraduate and graduate students to create a 75-minute activity for middle- and high-school girls on the mathematics of the card game SET (November 2011) and a 60-minute activity on "How to Guard an Art Gallery" (May 2014).

    For the Johns Hopkins Center for Talented Youth "Odyssey in Mathematics" program, I worked with two other Dartmouth graduate students to design and implement a 75-minute activity to introduce mathematically talented middle- and high-school students to the mathematics underlying orientable surfaces (in May 2010), constructibility (in May 2011), and hexaflexagons (in October 2013).