Directions are the first mathematics a child performs with their whole body. Forward three steps, turn right, stop — a handful of words moves a person across a room, a dog across a paddock, a robot across a mat. The curriculum asks for both halves of the skill: following directions faithfully, and giving directions exact enough that someone else can follow them blind. Both halves rest on the same discipline — how far, and which way — and both run into the same delicious complication: the words depend on which way the mover is facing.
The kelpie fetch
Ruby the kelpie only knows three words: forward, left, right. Herd her to the sheep.
Watch the arrow: forward goes wherever Ruby is facing.
Forward follows the facing
The kelpie teaches the two-command grammar of all movement: forward changes your square, turning changes your facing. Children driving Ruby quickly discover that forward does not mean up the screen — it means wherever the arrow points — and that a turn, on its own, moves nothing at all. Acting this out on the classroom floor, one child commanding and one obeying, makes the grammar physical before it is ever verbal.
Whose left?
Left and right travel with the person, and they flip when the person turns around.
The yellow L sits on Ruby’s left hand. Now ask her to step.
Whose left is it anyway?
Here is the trap every Year 1 meets: when Ruby faces you, her left is your right. Left and right are not painted on the floor — they ride along with the mover, and they flip the moment the mover turns around. Directions belong to the mover, not the watcher, and a child who can hold someone else’s left in mind while watching from the front has made a genuine leap in spatial thinking.
Say it exactly
Test a direction by asking: how many places could it land?
Over there could be any of these squares. Vague words land anywhere.
The one-landing test
Over there is not a direction; it is a hope. The test of a real direction is simple: run it, and count how many places it could land. Vague words scatter across the whole grid; forward three, turn right, forward two lands on exactly one square, every time, for every follower. Children love administering this test to each other — and being precise becomes a game rather than a demand.
Program the path
This time, write the whole plan first — then run it and watch.
Queue some commands for the robot dog, then run them one at a time. Target: the yellow spot.
Plan first, run after
Driving the kelpie live is one skill; writing the whole journey down before it runs is another, and it is the seed of programming. A queued plan makes order visible: the same four commands in a different order trace a different path. When a plan bumps the fence, the lesson is not failure but feedback — the run shows exactly where the thinking went wrong, and the plan can be cleared and rewritten. That loop is computational thinking, two years before anyone names it.
The picnic rug
No pointing allowed — place everything using position words alone.
Put the ball BETWEEN the hat and the bucket.
Placing the world with words
Directions move objects as well as people. Between, next to, in front of, behind — each phrase pins a spot on the picnic rug without a single pointed finger. Setting a table, packing the esky, arranging the classroom shelf: every one is a chance to give and follow placement words. A child who can park the cricket bat behind the esky on instruction alone is doing exactly what the descriptor asks — moving objects to locations within a space, guided by language. Try it at dinner tonight: one person gives the directions while the other sets the table with their eyes closed, steered by words alone — the giggles will hide just how much mathematics is being spoken.
Quick self-check
1. Ruby the kelpie faces the gate. The command turn right makes her...
2. Your friend stands facing you. Their left hand is on your...
3. Which direction lands in exactly one place?
4. In the plan F, F, R, F the robot turns...
5. Put the cup BETWEEN the plate and the jug. The cup goes...