Anzan: the abacus in your head

What anzan is

Anzan is abacus arithmetic without the abacus. You picture the board and "flick" the beads in your imagination, using exactly the same complement moves you use on a real one. It is not a different kind of maths — it is the soroban, internalised. Experienced operators are often about twice as fast this way as on a physical board, simply because there are no beads to move.

When a child is ready

Anzan only works once the physical moves are automatic. If a child still hesitates over little friends or big friends on a real board, picturing them will just be frustrating: they would be imagining something they cannot yet do. Build fluency on the board first.

Picture beads, not numbers

Do not think "76" as a number. Picture the actual beads:

Then, for each number you add or take away, picture the same moves you would make with your fingers, digit by digit from left to right, and read the answer off the imagined board.

Let your fingers help

Many children flick their fingers in the air as though working a real board. That is not cheating: the movement helps hold the picture steady, especially early on.

Keeping track of hundreds

In a long running total it is easy to lose track of whether you have passed 100. A simple trick: fold down a finger on your free hand each time the total passes a multiple of 100, and keep the tens and ones on your mental board.

Flash anzan

In flash anzan, numbers appear one at a time and you keep the running total in your head. Start slowly with three one-digit numbers, then add more numbers, then speed up, then move to two-digit numbers. Sums that land on round answers such as 10 or 20 are a good start because you can feel when you have got it right.

Little and often

Anzan is closer to a reflex than a fact to memorise, and reflexes build through spread-out repetition. Five focused minutes every day will do more than an hour once a week.