Daon Opus

Articles

Guides and resources about math education.

Math in Space: Light-Years, Rockets, and Gravity

Reaching orbit needs about twenty kilos of fuel for every kilo you want to keep, and the reason is a logarithm. Why gravity falls off with distance squared, why ten times the propellant only doubles the speed change, and why a light-year is a distance wearing a time unit's name.

Math in Medicine: Dosages, Percentiles, and Growth

The dosage rule almost everyone learns is the one that fails. Why scaling a dose by body weight is a proportion when the real rule scales by surface area, why that turns the error into a power of two-thirds, and why a 60th percentile does not mean sixty percent of anything.

Math in Fitness: Steps, Calories, and Heart-Rate Zones

Two watches, one walk, two different effort zones. Why a percentage of the wrong number is the whole argument, why 60% of your maximum heart rate is not 60% of what you can actually do, and why a calorie number is only honest once you give it a range.

Math in Photography: Shutter Speed, Aperture, and Focus

Every camera setting is a purchase of light, and every purchase costs something else. Why one stop is always a doubling, why f/2.8 gathers barely half the light of f/2 even though the number only moved 0.8, and why focus is a tolerance rather than a boundary.

Math in Video Games: XP Curves, Loot Odds, and Power-Ups

A game is a machine built out of three numbers. Why the XP curve is a brake rather than a reward, why a 1% drop rate stays a 1% drop rate no matter how long you wait, and why damage per second is the one calculation every player is really doing.

Binary and Base Systems: The On-Off Math of Computers

Base ten is a habit, not a law. Any number of boxes is legal, which is why dozen comes from twelve, why an hour has sixty minutes, and why every computer uses two. How a base changes the digits but never the quantity, and why binary arithmetic is genuinely bad at decimal.