Algebraic Terms Collect Arcade

About Algebraic Terms Collect Arcade

Algebraic Terms Collect Arcade is where algebra begins for most students, and where a surprising number of them quietly decide it is arbitrary. Three x plus five x equals eight x looks, on first meeting, like a rule handed down by authority — the letters just sit there, apparently untouched, while the numbers do something. Presented that way it is one more thing to remember. Presented properly it is nothing new at all: three lots of something plus five lots of the same something is eight lots of it, in precisely the way three apples plus five apples is eight apples, and the letter is doing no work beyond naming what is being counted. Getting that across at the very start matters more than almost anything else in the year, because every later manipulation assumes it. This game keeps the coefficients large and visible and the arithmetic ordinary, so what is happening is plainly addition rather than a special algebraic operation. The wrong terms drifting past are the two errors students genuinely produce: multiplying the coefficients instead of adding them, which comes from half-remembering a different rule, and landing one either side, which is simple arithmetic slippage and worth distinguishing from the conceptual error. Subtraction joins from the third level, where the possibility of a smaller answer makes the ordering of the terms matter. Terms drift slowly and stop entirely under reduced motion. Free, no sign-up, no advertising to children.