Counting Is More Than Saying 1 to 10: Building Number Sense Before School

What counting really involves

Psychologists Rochel Gelman and Randy Gallistel described the principles that sit underneath counting, and they're a handy checklist for parents. A child has to:

• say the number words in the same order every time (one, two, three…);
• match one number word to one object — no skipping, no double-counting;
• understand that the last number said tells you how many there are altogether;
• know that you can count anything — sounds, jumps, ideas — not just things you can touch;
• realise the total is the same whichever object you start with.

The third idea, often called cardinality, is the big one. A child who counts five ducks correctly and then, when asked “how many?”, starts counting again from one hasn't got it yet. A child who answers “five” straight away has.

Seeing amounts without counting

Grown-ups know there are three dots on a dice face without counting them. Children can learn this too for small amounts — it's called subitising — and it's a quiet foundation for adding later. Dice patterns, fingers and dominoes are all great for it.

A ten-frame takes the idea further. It's simply two rows of five boxes. Fill seven boxes and the top row is full, with two more underneath, so a child starts to see seven as “five and two” and as “three away from ten”. Those relationships make sums like 7 + 3 feel obvious rather than memorised.

How Number Quest builds these ideas

Number Quest never shows a child a sum without something to count. In the first two stages, children touch each apple, duck or star, and the game says the number aloud as each one is tapped and marks it with a small badge. That makes one-to-one matching visible: you can see if something was skipped. Only once everything is counted do the number choices appear, which nudges children towards “the last number is how many”.

If the answer is wrong, the badges clear and the game asks your child to count again — the honest fix for most counting errors. Fill the Frame shows a numeral and asks your child to build it in a ten-frame. The last stage tells little picture stories: three ducks are on the pond and two more swim over, or five apples are on a tree and two fall off.

It's designed to come before Number Adventure, which moves on to written sums.

What to watch while your child plays

Watch the finger, not the score. Is each object touched once? Does your child keep track of which ones are done, perhaps working left to right? After the last tap, do they answer straight away or start again? Those observations tell you far more than whether the right number was picked.

In Fill the Frame, you can also ask your child to show you seven without counting from one. A child who fills the top row and adds two is starting to think in fives — a lovely step forward.

Counting games for every day

1. 1Give me…

   “Can you give me four spoons?” is a better test of counting than “count to ten”. Vary the objects and amounts.

2. 2Set the table

   One plate per person, one cup per plate. Matching sets is the root of one-to-one counting.

3. 3Egg-box ten-frame

   Cut an egg box down to ten cups. Fill it with pasta to show numbers, and talk about how many more make ten.

4. 4Snack stories

   “You have three crackers. I'll add two. How many now?” Eating the answer is a strong motivator.

5. 5Under the cup

   Show five buttons, hide some under a cup and leave the rest out. How many are hiding? It's early subtraction and number bonds.

6. 6Board games with a dice

   Moving a counter one square per number builds counting on. Simple track games are ideal.

Pitching it at the right level

Still learning one-to-one? Use small sets, up to five, laid out in a line. Let your child move each object into a “counted” pile as they say its number — physically moving things prevents skipping.

Counting to ten reliably? Work on recognising the numerals 1 to 10, comparing amounts (“who has more?”) and recognising small amounts at a glance.

Ready for more? Try counting on: put five in a cup, say “five”, then count the extras — “six, seven”. Explore all the ways to make five and ten. Picture stories and the Number Adventure game come next.

Common slips — the child's and ours

Children often double-count an object or skip one when things are scattered, which is why lines and moving piles help. The teen numbers trip many children up because eleven and twelve don't sound like “ten-one” and “ten-two”. Writing numbers backwards, especially 2, 3, 5, 7 and 9, is normal for a long time.

On our side, the most common slip is focusing on how high a child can count instead of how well they count small amounts. Next is moving to written sums and symbols like + and = before the ideas are secure. It's also tempting to do the counting for a child who is slow — but slow, careful counting is exactly the practice they need.