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PT Reflections
This page is dedicated to the musings of Panda Theorems—thoughts, observations, and reflections that offer insight into our approach to learning and teaching.
Through these articles, we explore not only academic concepts but also their connections to the world around us, demonstrating how knowledge extends far beyond the classroom and into everyday life.
We invite you to read on, reflect, and, if you find value in these ideas, share them with others.
"Every concept in the textbook exists because it explains something in the real world."
Why Doesn't the International Space Station Fall?
Ever wondered – you throw a ball into the air, and after tracing a beautiful curved path, it falls back to the ground. Now think about the International Space Station (ISS). It has been orbiting the Earth for over two decades without crashing. Both the ball and the ISS are under the influence of Earth's gravity. So why does one fall, while the other keeps going round and round? Let's investigate. The Ball Experiment Imagine throwing a ball gently. It travels a short d
Panda Theorems
3 days ago2 min read
Energy, Frequency, and Vibration
"If you want to find the secrets of the universe, think in terms of energy, frequency and vibration."— Nikola Tesla Whether Tesla actually intended this statement to be interpreted scientifically, philosophically, or both, it is certainly a thought-provoking idea. Let's explore it. Imagine two tuning forks of the same frequency. Strike one, and the other begins to vibrate even though it was never touched. Why? Because they are tuned alike. One vibration influences ano
Panda Theorems
Jul 242 min read
E = mc²: We Are Made of Sunlight
E = mc² is perhaps the most famous equation in the history of science. It is so iconic that consulting firms, hotels, and countless businesses have borrowed its name. This remarkable equation was proposed by Albert Einstein, where: E stands for Energy m stands for Mass c stands for the Speed of Light Einstein's insight was profound: mass and energy are two forms of the same thing. Under the right conditions, mass can be converted into energy, and energy can be converted into
Panda Theorems
Jul 32 min read
The Power of Compounding
Albert Einstein is often credited with calling compounding the "Eighth Wonder of the World." Whether or not he actually said it, the sentiment remains true. Let's look at two fascinating examples. Instance 1: The Chessboard Story Legend has it that a king wished to reward one of his commanders for years of distinguished service. When asked what reward he desired, the commander made a surprisingly modest request: 1 grain of rice on the first square of a chessboard 2 grains on
Panda Theorems
Jun 292 min read
Sales: The Life Skill We Rarely Teach
Sales is one of the most important life skills, yet it receives very little attention during our academic years. It is often viewed as something relevant only to business owners, entrepreneurs, or those pursuing careers in commerce. This is a significant oversight. Sales is far more than the exchange of products for money. At its core, sales is the ability to influence, persuade, and create value for others. In that sense, every one of us is a salesperson. The sooner we recog
Panda Theorems
Jun 182 min read
Driving a Car: Should you use the Cruise Control?
From Newton's Second Law, we know that: F = ma This means that a force “F” acting on a body of mass “m” produces an acceleration “a”. This principle can be observed every time we drive a car. Imagine starting your car from a parking spot and gradually increasing its speed—from 0 km/h to 10 km/h, then 20 km/h, 30 km/h, and so on until it reaches 100 km/h. At that point, you engage Cruise Control. Scenario 1: Accelerating from 0 km/h to 100 km/h The velocity of the car
Panda Theorems
Jun 112 min read
Is Gravity a Force?
This question came up during a recent discussion with my students. Most agreed that gravity is a force, after all, it is gravity that pulls objects toward the Earth. I followed up with another question: "What is the unit of gravity?" The answer came quickly: m/s² Interesting! That is the unit of acceleration, not force. If gravity itself were a force, we would expect its unit to be Newton (N). The room fell silent—a curious, thinking silence. And that is exactly the kind of m
Panda Theorems
Jun 91 min read
Rational and Irrational
This is one pair of terms that we encounter both in Mathematics and in everyday English. We often hear statements such as, "She is a very rational person" or "Don't be irrational!" So, is there a connection between the mathematical meaning and the English one? Let's begin with the Mathematical point of view. Rational Numbers A rational number is any number that can be written in the form: p/q where p and q are integers and q ≠ 0. Rational numbers have one of the following dec
Panda Theorems
Jun 82 min read
Why should you not sleep under a tree at night?
During the night, plants do not produce oxygen. This is because photosynthesis requires sunlight, and without sunlight, photosynthesis cannot occur. However, plants still need energy to carry out their life processes. Just like animals, they undergo respiration, in which glucose is broken down to release energy. Glucose → Energy + Water Vapour + Carbon Dioxide As a result, plants consume oxygen and release carbon dioxide during the night. This is why it is generally advised n
Panda Theorems
Jun 51 min read
A Perspective: Potential Energy & Human Potential
Imagine a block resting on the ground. In that state, it has little capacity to perform any useful work. (It may cause someone to trip over it, but that is hardly productive!) Now suppose the same block is lifted and placed at a height above the ground. It then possesses Potential Energy, given by: Potential Energy = mgh where m is the mass of the block, h is the height to which it is raised, and g is the acceleration due to gravity. This energy did not appear out of nowhere.
Panda Theorems
May 191 min read
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