Every student of physics has had that “aha!” moment. It’s the instant you realize that the formula for the gravity of a planet looks suspiciously like the one for the electric field of a particle. You sense a deeper pattern, a hidden unity in the laws of nature. This project began with a simple goal:…
As a physics teacher, I realized my students struggled with basic motion concepts, often thinking that objects need constant pushing to keep moving or that speed and acceleration are the same. To tackle this confusion, I created a police chase game that brings physics to life! Through AI coding, I transformed my ideas into a fun, interactive simulation where students can experiment with physics principles. They can adjust speeds, analyze outcomes, and see first hand how physics applies to real-world situations. Join me on this journey of using technology to enhance learning and engage students in a whole new way!
In the age of generative AI, where tools can write entire essays in seconds, a paradox has emerged in education: while producing text has never been easier, understanding the craft of writing is at risk of being lost. Reflecting on this, I have developed the Scientific Writing Coach—not as a tool to write for you, but as a mentor to…
Finding the Quantum Elevators From Static Blueprint to Dynamic Action In the previous phase of our research (App #7), we achieved a fundamental breakthrough: we mapped the static anatomy of the integers. We discovered the Collatz Atomic Model, revealing that odd integers reside in discrete, quantized “energy shells” based on their Crash Power (r). We…
1. Simulation Overview 🎯 Click here to Access the Simulation Concept: This app lets you plot a real-road route (distance) and the straight-line shortcut (displacement) between any two points on Earth.Why it matters: Students often treat distance and displacement as synonyms; visualising both on an actual map makes it crystal-clear that distance ≥ displacement and that only vectors…
Visualizing the Decoherence of Arithmetic Linearity From Mapping to Measuring In the previous posts of this series, we focused on Mapping the Collatz Conjecture. We built the Collatz Periodic Table (App 4) to classify integers into “Crash Families” (r) and assign them unique coordinates. We organized the chaos. But as any physicist knows, drawing a…
In my last post, I shared how I used AI to explore the strange “mirror world” of negative integers in the Collatz Conjecture. Today, I want to talk about why I built this visualization app in the first place. The Pen and Paper Struggle Back in 1996, and later during my PhD research, my “computer”…
That Sunday Night Feeling We’ve all been there—Sunday evening, staring at Monday’s lesson plan. You know the content inside and out, but the spark is missing. How do you make the water cycle exciting for the third time this semester? How do you explain photosynthesis without losing half the class? I’ve been there too. That’s…
Taming the Matrix: I Built a Tool to End the Frustration of Manual Linear Algebra Remember the pain? You’re an hour deep into calculating a 4×4 matrix inverse by hand. You’ve meticulously found the minors, the cofactors, the adjoint, and the determinant. You write down your final answer, check it against the solution, and… it’s…
The Anatomy of Integers From Dynamics to Structure For the first six installments of this research series, we have been obsessed with the motion of the Collatz Conjecture. We have built instruments to track the chaotic trajectories, measure their dizzying heights, and time their eventual decay. We have studied the dynamics of the problem. But…