contact: jcristobal2[at]unl[dot]edu

**My curriculum vitae is here**.

As a personal project to learn how to develop a course from the ground up, I have started making an introduction to proofs course. This course would be intended for students who have never taken a proofs course, and may have some knowledge about Calculus already. I am not assuming my imaginary students know more than pre-calculus.
You can check out the course syllabus here: Math X01 Introduction to Proofs Syllabus.

Here are the weekly materials I have developed so far. If you end up using this un-tested material, please let me know how it goes! (and of course, give credit please).

- Week 1 Lesson Plan and Materials.
- Week 2
*pending...*

- Fall 2024 - Math 103, College Algebra & Trigonometry
- Fall 2024 - Math 97, Seminar for Mathematics Learning Assistants
- Spring, Summer 2024 - not teaching
- Fall 2023 - Math 221, Differential Equations as TA (three sections)
- Summer 2023 - Algebra Course Developer
- Spring 2023 - Math 302, Mathematical Modeling (for Pre-service Mathematics Teachers) as Instructor
- Fall 2022 - Math 101C, College Algebra Co-requisite as Instructor and as Course Developer
- Summer 2022 - Math 221, Differential Equations as Tutor
- Summer 2022 - Math 830/831, Ordinary and Partial Differential Equations as Qualifying Exam Review Facilitator
- Spring 2022 - Math 101, College Algebra as Instructor
- Fall 2021 - Math 100A, Intermediate Algebra as Instructor
- Summer 2021 - Math 804T, Experimentation, Conjecture, and Reasoning as TA
- Spring 2021 - MATH 107, Calculus II as TA
- Spring 2021 - MATH 104, Applied Calculus as Grader
- Fall 2020 - MATH 106, Calculus I as TA (two sections)
- Fall 2019 through Spring 2020 - Physics 1A, Mechanics, as Peer-Learning Facilitator at UCLA

As a Course Developer, I mainly focused on the Algebra courses of the department, Intermediate Algebra, College Algebra, and College Algebra Co-Requisite. The changes I've made in Intermediate Algebra and College Algebra are a direct change to the Co-Requisite. During Summer 2024, I had the pleasure of further developing the seminar course for the Learning Assistants of the Mathematics Department, where I worked to establish a better timeline of topics and assignments that better addressed equitable teaching practices.

For the Intermediate Algebra course, I recorded 30+ videos to be embedded into the Online Education Resource (OER) we provide to students for free. This is the textbook used for the course. You can find the videos in each section of the textbook, scrolling down to the "Supplemental Videos" section. Here is the link for the first section of Intermediate Algebra: **https://mathbooks.unl.edu/PreCalculus/Numbers-and-Operations.html**. Here is the link for all the supplemental videos for the Intermediate Algebra course that I recorded: **https://mathbooks.unl.edu/PreCalculus/subsection-179.html**.

For the College Algebra course, I reordered the sections of the first chapter to have better scaffolding and sequencing of topics. For example, putting the function notation topic before the rate of change formula which uses function notation. This required updating the course workbook and homework to also scaffold accordingly.

For both courses, I learned how to update the OER and work with the Online Homework Platform (WeBWorK) for these courses.

On an unofficial capacity, for Math 302 Mathematical Modeling (for Pre-Service Mathematics Teachers), I developed guided notesheets for students to use for notetaking during class, as well as guide the instructors in lecture. These have been passed onto the new instructors. If you would like to access them, please email me.