Math, in Practice
Mathematics is the language I teach, but it's also the language I use to build, model, and decide. My graduate work in mechanical engineering and data analytics directly informs how I teach — especially the precision habits, modeling skills, and quantitative reasoning that show up on the AP Precalculus and AP Calculus exams.
This page collects the engineering research and data work I've done outside the classroom, plus the analyses I run on my own student data each year to figure out what's actually working.
Degrees & Programs
Texas Tech · in progress
WTAMU
UT Austin
WTAMU
Selected Papers & Projects
Graduate-level work from my M.S. in Mechanical Engineering at Texas Tech. The full set lives on GitHub.
Cross-Impact Analysis of Engineering Ethics
Applies cross-impact analysis methodology to identify cascading factors in engineering research-integrity case studies. Builds out a quantitative framework for reasoning about how decisions interact.
Dimensionless Numbers in Engineering Modeling
A reference and analytical exploration of dimensionless quantities (Reynolds, Nusselt, Prandtl, etc.) used to scale and compare physical systems. Includes worked examples and modeling implications.
Engineering Ethics Case Library
A collection of case studies analyzing real-world engineering decisions through a research-integrity and ethics lens — with ties back to the engineering education curriculum.
Python, Statistics & Student Outcomes
I run my own statistical analysis in Python because the data tells me where to push, who is two points away from clearing TSI, and which interventions are actually working. Same techniques I learned in the UT Austin Data Analytics PGP, applied to a live classroom of 147 students.
(April 2026)
of prep-week effect
retake / support / enrichment
across honors & on-level
Data Analytics Projects
Coursework and capstone projects from the UT Austin Post Graduate Program in Data Analytics. Python, Jupyter, statistical inference, and data visualization.
LaTeX Templates
Reusable LaTeX and Overleaf source for unit assessments, worksheets, and curriculum handouts — the typesetting backbone of materials I share department-wide.
GitHub: happypurple1
The full collection of repositories — Algebra 2 curriculum, TSI Strategy Trainer, Inverse Function Transformations, data analytics projects, engineering papers, and more.
How This Shows Up Every Day
The bridge between graduate-level STEM work and a high school classroom isn't decorative — it shapes the way I teach.
AP-Style Decimal Discipline
Engineering and statistics both teach you that precision matters and that where you round changes the answer. Students practice carrying full precision and rounding to three decimals only at the final step — the AP Precalculus convention.
Sentence-Stem Reasoning
Research writing and engineering ethics both demand that conclusions be defended in clear, structured prose. The same habit shows up in my classroom as sentence stems for AP free-response justification.
Real Data, Real Decisions
Modeling is more than fitting a curve. Students see real datasets, choose appropriate models, evaluate fit, and interpret results in context — the way an engineer or analyst actually uses precalculus.