Jarimatika Guides: Counting on Ten Fingers

Jarimatika attaches meaning to finger positions, so what a child needs before the first finger goes up is the idea that the symbol 7 stands for seven things. A child who can recite one to ten yet still miscounts a pile of objects will copy the finger shapes without knowing what they mean. The hand may look right, and when the first addition question arrives there is nothing to check the answer against.

Checking readiness is simple and works with whatever is on the table. Lay out seven spoons or buttons, ask the child to count them while touching each one, then show a few number cards and ask which card matches. Repeat with other amounts in random order, including numerals that are easy to confuse such as 6 and 9. A child who touches two objects on one count, or stops halfway and starts again from the beginning, would benefit from a few more days of counting games with real things.

Readiness also covers the idea of more and fewer. A child who can say which pile is bigger, and how many buttons would make two piles equal, already carries the seed of addition and subtraction. The usual age is 4 to 5, though the matching skill is the real marker. Older children sometimes need a short return to this stage too before finger shapes are introduced.

The left hand uses exactly the same shapes as the right, with every value multiplied by ten. The left index finger is 10, index and middle together are 20, four fingers are 40, the thumb alone is 50, and the thumb with all four fingers is 90. Since the shapes are already familiar from the right hand, this stage feels lighter, and the challenge moves to reading both hands as a single number.

A helpful habit is to read from left to right: say the tens, then the ones. Three fingers on the left and four on the right read as thirty-four. Numbers with a zero on one hand deserve their own practice. Forty means four fingers on the left and a closed right fist, while 7 means a closed left fist and seven on the right. Children who are new to this often raise something on the right hand for a round ten, because an empty hand feels wrong to them.

Sitting face to face causes another mix-up. When a helper sits opposite, the helper's right hand appears on the child's left, and the child may swap the roles of their own hands. Sitting side by side or practising in front of a mirror clears this up. Numbers from everyday life keep the practice lively: ages, house numbers, shoe sizes, page numbers in a favourite book. This stage also opens the door to place value at school, because the child can see for themselves that the 3 in 34 and the 3 in 43 live on different hands.

Little friends are the pairs that make five: 1 with 4, and 2 with 3. They are needed when a question calls for single fingers that are not available while the thumb is still closed. Take three plus three. The right hand already has three fingers open, leaving only the little finger. The child opens the thumb, which adds five, then closes the little friend of three, which is two fingers. The hand now shows the thumb and one finger, which is six.

Subtraction uses the reverse rule: close five, open the partner. For six minus three, the right hand shows the thumb and the index finger. Only one single finger can be closed, so the child folds the thumb, taking away five, then opens the little friend of three, which is two fingers. The index finger plus two new fingers gives three. The rule is short and rhythmic, so children can chant it while they move: plus three, open five close two; minus three, close five open two.

The main source of confusion here is knowing when to use the rule. The test is simple. If there are enough single fingers, open or close them directly; if there are too few and the thumb is free to move, call a little friend. Coloured pair cards on the wall or quick-fire games help the pairs stick, with the helper calling 1 and the child answering 4. Little friends come in once plain adding and subtracting are fluent, and they get a few days to themselves before big friends arrive.

Some questions need more than one rule. Six plus six is the one that comes up most. The right hand shows six, the thumb and the index finger. The answer passes ten, so the child raises one left finger and must close the big friend of six, which is four. The difficulty is that the right hand has only one single finger open. To take four away from that shape, the child uses a little friend: close the thumb, then open the little friend of four, which is one finger. The right hand now shows two fingers, and with one finger on the left the answer is twelve.

A similar pattern turns up in subtraction such as twelve minus seven. The child lowers one left finger and must open the big friend of seven, which is three. Two right fingers are already up, and adding three more single fingers would need more than the four available, so a little friend steps in: open the thumb, close the little friend of three, which is two fingers. What remains is the thumb alone, which is five.

Two-digit addition with carrying follows the same logic. For 34 plus 28, the left hand adds twenty first. Three left fingers cannot open two more, so the left hand uses a little friend as well: open the thumb, close three fingers, and the left hand shows 50. Then four plus eight on the right hand calls a big friend. One more left finger goes up to make 60, and the big friend of eight, which is two, closes on the right. The answer is sixty-two. One or two questions of this kind per session is plenty, with each move broken down and said aloud.

Fingers serve as a bridge towards fluent working of simple sums. Once addition, subtraction and the 6 to 10 tables run smoothly, pupils begin picturing their finger moves without making them. The first step is to shrink the movement: fingers twitch slightly on the tabletop, then the hands stay still and the moves are imagined. Many pupils keep a small flicker of the fingers under the desk during this changeover, which is perfectly normal.

Guessing first and checking second helps the shift along. The pupil says an estimated answer, then proves it on the fingers. As the guesses land more often, the checking can be eased off gradually. Mixed KaBaTaKu practice, short for kali, bagi, tambah, kurang (multiply, divide, add, subtract), gives a variety of questions that make pupils choose the right rule quickly. Accuracy comes first and speed rises slowly afterwards, since chasing speed too early tends to make finger shapes wobble again.

A few signs show the skill has taken root. The pupil forms random numbers without a pause, can explain the friend rules in their own words, works written sums with the same steps their fingers would take, and notices when an answer looks wrong, such as a sum smaller than one of the numbers being added. When those signs appear, the fingers come out less and less, and the changeover moves at each pupil's own pace.