I am currently (Fall 2024) teaching MATH 1920 / Engineering Multivariable Calculus
Courses taught at the Univeristy of Rochester (2021-2024)
- Summer 2024: Linear Algebra With Differential Equations
- Spring 2024: Calculus II and Transition to higher Math
- Fall 2023: Precalculus and Linear Algebra w/ written module.
- Summer 2023: Discrete Mathematics (Online).
- Spring 2023: Discrete Mathematics and Abstract Algebra.
- Fall 2022: Discrete Mathematics and Linear Algebra w/ differential equations.
- Summer 2022: Calculus I (Online).
- Spring 2022: Engineering Calculus II and Point-set Topology.
- Fall 2021: Calculus II and Linear Algebra w/ written module.
Relevant Teaching Experience
- In the Summer 2024 I earned a Student Course Development Project Award at UR to develop material for Linear Algebra and Differential Equation courses
- During Fall 2023 and Spring 2024, I served as an AP Calculus Visiting Fellow at the US College Board
- I was a Teaching Fellow supporting the implementation of WebWork at Western, and authoring problems for Logic, Set Theory and Combinatorics.
- I was a supporting instructor for Methods of Calculus at Western University in Winter 2021 creating lecture videos for online teaching during the COVID-19 pandemic.
- During 2015-2020 I was a Teaching Assistant at Western University
- I was an adjunct lecturer at several universities in Bogota (Colombia) during 2013-2015
Great tools to use in the classroom
- WebWork
- Geogebra
- Desmos
- Calc3DPlot
- PollEverywhere
- Perusall
- PreText
- Gradescope
Open source WeBWork Contributions
- Problems in Calculus, Linear Algebra, Logic, Set Theory and Combinatorics.
- WeBWork problem file generator - A tool to create and download WeBWork problems breaking down the main contents of a WeBWork file.
- WeBWork def problems downloader - A python script to download a set of problems from a .def file (generated by a WeBWork homework set).
- WeBWork Problem Creation Tutorial - A tutorial with companion template files to create the most common WeBWork problems.
Teaching Philosophy
My teaching philosophy is student-centered and built on four core principles: Insight, Inspiration, Inclusion, and Innovation. I refer to this as the TetraIdron Philosophy.
Insight
- Reflective Teaching
- Incorporate real-world examples
- Cultivate curiosity
- Visualization and interactive activities
Inspiration
- Constructivist approach
- Inquiry and problem based learning techniques
- Positive feedback and encouragement
- Foster a Growth mindset
Inclusion
- Establish a support system
- Recognize barriers and challenges
- Implement Assistive Technology
- Tailored teaching experiences
- Equitable access to opportunities
Innovation
- Differentiated Teaching
- Technology Integration
- Diverse teaching practices and assessment methods
- Reflective and Classroom Engagement