Embedded Files
"Mathematics is not a spectator sport" - George Pólya
Teaching Experience
Teaching Experience
University of Colorado, Boulder
University of Colorado, Boulder
MATH 2510: Introduction to Statistics - This 3 credit course covers elementary statistical measures and introduces statistical distributions, statistical inference, hypothesis testing, and linear regression. This coordinated course operates as a "flipped-classroom" with an emphasis on group work and active learning.
Instructor of record: Fall 2025
MATH 5905: Mathematics Teacher Training - This 1 credit course is designed to train graduate students to become effective teachers, specifically in teaching mathematics.
Co-instructor: Fall 2023, Spring 2024, Fall 2024, Spring 2025
MATH 2400: Calculus 3 - This 5 credit course covers vectors, three-dimensional analytic geometry, partial differentiation, multiple integrals, and vector analysis. This coordinated course incorporates Inquiry Based Learning and active learning.
Assistant Coordinator: Spring 2024, Fall 2024, Spring 2025
Instructor of record: Fall 2023
Teaching assistant: Fall 2022
MATH 2300: Calculus 2 - This 5 credit course covers transcendental functions, methods of integration, parametric equations, polar coordinates, differential equations, improper integrals, infinite sequences and series, Taylor polynomials, and Taylor series. This coordinated course incorporates Inquiry Based Learning and active learning.
Instructor of record: Spring 2022, Spring 2023
Teaching assistant: Fall 2020
MATH 1300: Calculus 1 - This 5 credit course covers limits, derivatives of algebraic and transcendental functions, applications of the derivative, integration, and applications of the definite integral. This coordinated course incorporates Inquiry Based Learning and active learning.
Instructor of record: Fall 2021, Summer 2022
Teaching assistant: Spring 2021
California State University, Long Beach
California State University, Long Beach
MATH 123: Calculus 1 - This 4 credit course covers continuous functions, derivatives and applications including graphing, related rates, optimization, transcendental functions, L'Hospital's Rule, antiderivatives, definite integrals, and area under a curve.
Supplemental Activity Instructor: Spring 2018, Fall 2018
Jensen SAS Peer Tutor
NSCI 190A - This 1 credit course helps freshman undergraduate students learn and adopt organization, time management, study and test taking skills, increase their awareness of science and mathematics related career options, and make connections with College of Natural Science and Mathematics (CNSM) programs, resources, and people.
Co-instructor: Fall 2017, Fall 2018
Tutored college math courses ranging from pre-calculus up to abstract algebra.
Teaching Presentations
Teaching Presentations
Sample course materials
Sample course materials
Written Homework Questions (Calculus 3)
Written Homework Questions (Calculus 3)
Below are some selected written homework questions I wrote for the Calculus III course at the University of Colorado, Boulder.
These questions were written as part of a revamp of the written homework for Calculus III at CU Boulder in an effort to have inquiry-based homework that focused on enhancing students conceptual understanding and developing students critical thinking and communication skills. This was done in collaboration with Lee Roberson and Kevin Manley.
Content Guide and Learning Objectives -- Excerpt (Calculus 3)
Content Guide and Learning Objectives -- Excerpt (Calculus 3)
Below is an excerpt of a document (MATH 2400 Content Guide and Learning Objectives) I made for the Calculus III course at the University of Colorado, Boulder when I was the Assistant Coordinator. This document serves as a record and reference of the expected content coverage and learning objectives for MATH 2400 at CU Boulder. It includes what topics must be covered, what topics are optional but encouraged, what topics should not be covered, examples that instructors are asked to cover, other suggested examples, and language/notation that instructors are expected to use with students.
The purpose of this document is to aid in instructional consistency across sections in this coordinated course and act as a guide of expectations for instructors teaching the course for the first time.
The Fundamental Theorem of Calculus (Calculus 3; active learning tactile-activity)
The Fundamental Theorem of Calculus (Calculus 3; active learning tactile-activity)
Developed from an existing activity by Will Murray at California State University, Long Beach.
Activity and Follow-up Questions
This 50-minute activity is meant to be a tactile active learning project (tactivity) where students have colored cut outs of the content that fills in the table and then they work in groups to fill in the table. To help students fill in the table faster, we printed each row of the table in different colored cardstock. After completing the table, students are given a handout of follow-up questions with the goal of having students summarize the main ideas of the activity and answer related questions students struggled with earlier in the semester.
Manipulating Taylor Series (Calculus 2; discovery activity)
Manipulating Taylor Series (Calculus 2; discovery activity)
Developed in collaboration with Emily Montelius. Do not reuse or distribute without explicit permission from the authors.
This 50-minute activity is meant to be a discovery activity in which students are guided through learning how to manipulate Taylor series through substitution, algebraic manipulation, differentiation, and integration. The first page is meant to be a place for students to summarize what they have learned from the activity. Students can rip out this first page and place them in their notes for future reference!
Calculus 1 Exam 1 Review Sheet (Calculus 1; student resource)
Calculus 1 Exam 1 Review Sheet (Calculus 1; student resource)
Created in my first semester teaching Calculus 1 at CU Boulder as a student resource to aid in students studying for midterm 1.
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