Articles
Guides and resources about math education.
Codes and Ciphers: The Secret Math of Messages
Every letter cipher fails for one reason, and it is not the maths: English has a fingerprint. A shift moves the fingerprint but does not hide it, word lengths survive untouched, and rearranging the letters leaks even more.
Big Numbers: Millions, Billions, Trillions and Beyond
You do not need to memorise a single one of these names. Million is six zeros, every other name is three more, and the Latin prefix on the front is quietly doing the arithmetic. Plus why a million seconds is a fortnight and a billion seconds is your entire adult life.
Distance = Rate x Time: The Formula That Moves the World
One equation, three questions, and a triangle that rearranges itself. Why the average of two speeds is usually wrong, how a fuel gauge runs this formula backwards with worse data than you have, and the two-subtraction method that solves any catch-up problem.
Converting Units: When to Divide, When to Multiply
There is no divide button and no multiply button in unit conversion. A conversion factor is just a fraction equal to 1, and the question dissolves once you write it facing the right way. Plus the three word traps that make a correct method produce a wrong answer.
Congruent vs Similar: The Same Shape or Just in Proportion
Same shape is a trap word. Congruent means every single length and angle matches with zero tolerance; similar means only the proportions match. How to tell them apart without measuring everything, why almost nothing in the real world is exactly congruent, and what engineers mean when they allow a fraction of a millimetre.
Quadrilaterals and Polygons: The Angle Family
Why a quadrilateral can never have four blunt corners: the corner budget of (n-2) x 180, why exactly three right angles is impossible but four gives you a rectangle, and how every new side buys exactly two more obtuse angles.