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Linear Algebra for Comp Sci Majors (WIP)
A personal VR teaching project to help support CS majors in Trans Academy (a transgender community in VRChat).
The curriculum of this Linear Algebra course is more computational based rather than proof-based.
The topics are also chosen for the sake of fundamentals and computer science applications.
This project is still a work in progress unfortunately, but here's what I got so far: Linear Algebra for CS Majors (WIP).
The old videos of me lecturing in VR were first attempts before I developed an actual curriculum.
Clearly, it was a flop due to multiple reasons:
- Linear Algebra lessons were improvised and had not enough good reason to be implemented into the course
- not enough convincing motivation for CS majors to engage and be intrigued into the topic
- I wasn't comfortable/knowledgeable into the further topics of Linear Algebra (need to develop better teaching notes)
Utilizing "Geometry Hunting" to Gamify our Geometry Courses
This was a professional development WTAMU project proposal for prospective Geometry Teachers.
This was a culminating experience project for Geometry Concepts for Math Teachers course.
Final Culmination Project Powerslide for Video.pdfThe Flaws of WolframAlpha with Advanced Integral Calculus Problems
WolframAlpha's False and Inefficient Answers in Advanced Integration Technique Problems
This informal paper showcases the flaws of WolframAlpha's methodology when computing integrals.
This paper provides multiple cases and integral examples, revealing that certain techniques where you must "unsimplify" causes WolframAlpha to not find an exact answer, an exact antiderivative, or an efficient answer.
This paper was made in 2021. I'm pretty sure nowadays we have AI that can now handle monstrous integrals. AI today can now solve integrals just like humans: "unsimplify" and thinking outside the box. Don't believe me? Have a look at this terrifying video...
Algebraically Using Venn Diagrams in Equations for Beginner Proof Students
Proving Sets Equationally with Venn Diagrams for High School Level/Beginner Math Proofs Students
This was just my own teaching methodology I came up with during my sophomore year.
Sometimes set theory can be a bit hard to visualize from formal notations and definitions for students completely new to proving sets.
Visually drawing them and conceptually solving them equationally helps map out their scratchwork to prove sets formally.
This method helps easily understand what's going on in each variable set to prove set identities.
This was just an amateur ideology of my idea for intro to mathematical proofs. Still helps me and others, but currently this is just an informal paper.
This was informally presented at my university's math club.
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