Mathematics Should be Taught Like Art

Imagine you had to take an art class in which you were taught how to paint a fence or a wall, but you were never shown the paintings of the great masters, and you weren't even told that such paintings existed. Pretty soon you'd be asking, why study art? That's absurd, of course, but it's surprisingly close to the way we teach children mathematics. In elementary and middle school and even into high school, we hide math's great masterpieces from students' view. The arithmetic, algebraic equati...

 tokamak

It is called a tokamak—old Soviet shorthand for a more precise and geometrical name, toroidalnaya kamera s aksialnym magnitnym polem, or “toroidal chamber with an axial magnetic field.” Sakharov’s rough sketch depicted a doughnut-shaped vacuum chamber, or torus, ringed with electromagnets, and that is how iter’s core will look, too, once it is completed. In myriad ways, the project is a fragment of the Cold War stranded in the present day. Sakharov had predicted that a reactor based on his s...

 Explanation of the Higg's Boson

Protons are more massive than electrons, for example, and electrons are way more massive than neutrinos. Photons have no mass at all. For most us, that's no more than a fun fact (and not all that much fun, really). For physicists, though, it's a mystery that demands a solution. Why are the masses so different — and why do any particles have any mass at all? The answer, suggested several scientists back in the 1960's, is that the entire universe is suffused with a sort of energy field — it's ...