Teaching a child to count: why saying the numbers is not counting

Ask a four-year-old to count to twenty and many will do it perfectly. Put six buttons in front of the same child and ask how many there are, and a good number will touch four of them while saying eight numbers, then say "seven". Reciting the number names and counting a set of things are different skills, and the gap between them is where most early maths difficulty lives.

The four things a child has to learn

The number word sequence. One, two, three… in order, as a verbal chain. This is memory, not maths.
One-to-one correspondence. One number word per object. Exactly one. This is the hard one.
Cardinality. The last number you said is the answer. Children often recount when asked "so how many?" — that is the tell that cardinality has not landed.
Order irrelevance. It does not matter which object you start with; you get the same answer.

Each of these can be taught, and a child can be fluent at one while having none of the next.

Teaching one-to-one correspondence

The fix is physical. Make the child move each object as they count it.

Count objects into a cup, one at a time, so a counted object physically leaves the pile.
Count things in a line, left to right, touching each one firmly.
Put one bear on each chair, one sock in each shoe. Matching is one-to-one correspondence without the number words.

Two errors to watch for, because they need different fixes: skipping (saying fewer numbers than objects) usually means the number chain is running faster than the hand, so slow the chant down to the hand. Double-counting means counted objects are not being separated, so make them move.

Teaching cardinality

After the child counts, ask "so how many?" If they count again, do not correct them — just answer it yourself, immediately and plainly: "You counted one, two, three, four. So there are four." Then ask again.

A good game: count a set, then cover it. "How many are under the cloth?" There is nothing to recount, so the only way to answer is to have kept the number.

Say it out loud, and have the child say it back

This is the part a screen usually gets wrong. Counting is an out-loud skill. A child who taps six objects silently has not demonstrated anything — you cannot tell whether one number was said per tap, which is the whole thing being assessed. Every counting activity should have the number spoken, by the app and by the child.

It also matters for the awkward part of the sequence. Eleven, twelve, thirteen, fifteen are irregular in English and have to be learned as exceptions. (Thirteen says the three second; eleven and twelve say nothing useful at all.) Mandarin-speaking children learn this stretch faster, and it is entirely because their number words are regular — ten-one, ten-two. Nothing to do with ability, everything to do with the words.

Then: stop starting at one

Once counting to twenty is solid, the highest-value next step is counting on from any number. "Start at seven: seven, eight, nine…" Children who can only count from one will later add 7 + 3 by counting all ten, which is slow, error-prone and becomes a wall at around seven years old when addition facts are meant to become automatic.

Then counting backwards, which is much harder and is the foundation of subtraction. Then counting by tens, then by twos and fives.

Subitising: the skill nobody mentions

Subitising is seeing how many there are without counting. Three dots on a dice are three at a glance. It is the bridge from counting to arithmetic, and it is trainable: show a small group of objects for about a second, then hide them, and ask how many. Too long and the child counts, which defeats it.

The reason it matters: a child who sees seven as "five and two" can add. A child who sees seven as "one two three four five six seven" has to start over every time.

Practise it free, out loud

Ladderbug's counting rungs speak every number, have the child touch each object exactly once, and will not accept a tap on an object that is already counted. Counting on, counting back and counting by tens follow, and subitising runs alongside.

Try counting

Written by the Ladderbug team. We build a free reading and math site for ages 4 to 11, so we have an interest here — where that interest might bend an answer, we have tried to say so on the page rather than hide it.