Mental abacus vs Singapore math: how they differ — and how they complement
Two of the most-discussed math methods online, often presented as rivals. They are not. They solve different problems — and the families who do best with their kids use both, deliberately.
Type "best math method for my child" into a search bar and you will find two camps shouting at each other: the Singapore-math camp and the mental-abacus camp. Each insists the other is incomplete. They are both right, because they are not actually arguing about the same thing.
Singapore math, in one paragraph
Singapore math (and its many descendants — including the "Concrete-Pictorial-Abstract" approach you see in modern primary curricula) is about building strong number sense through carefully sequenced word problems and pictorial reasoning. Bar models, ten-frames, part-whole diagrams. The student spends a lot of time understanding what a problem is asking before computing anything. The output is a child who reads a maths problem and reaches for the right tool.
Mental abacus, in one paragraph
Mental abacus (the soroban / Anzan tradition) is about building a vivid mental image of an abacus and then performing arithmetic on that image at the speed of sight. Beads, columns, places. The student spends a lot of time on raw computation: adding, subtracting, multiplying, dividing — first on a physical abacus, then in the head. The output is a child who can compute fast, accurately, and without writing anything down.
They solve different problems
- Singapore math trains comprehension and reasoning: "what kind of problem is this, and what operation does it call for?"
- Mental abacus trains computation and working memory: "given this operation, what is the answer, and how fast?"
- A child strong in Singapore but weak in mental computation gets stuck mid-problem because the arithmetic step takes too long.
- A child strong in computation but weak in problem reading gets the wrong answer fast — the worst combination.
- The child who has both reads the problem cleanly and computes the answer before others have set up the equation.
How families combine the two
Most of the families in our community do not pick one. They use whatever the school is using for the comprehension side — often Singapore-style methods if they are in a primary curriculum that has adopted them — and add a daily 10-minute mental-abacus drill on top. The drill is not competing with the school maths; it is filling in the computation gap the school does not have time to drill.
The reverse pattern works too: schools doing pure mental-arithmetic curricula (we see a lot of these in MENA and East Asia) often add a problem-comprehension supplement at home to round out the child’s reasoning.
I stopped thinking of them as competing methods. Singapore taught my daughter what a problem is asking. Abacus taught her to answer it before the bell.— Parent in Amman, two years in
A practical starting point
If your child is in a Singapore-influenced curriculum and you want to add the missing computation piece, ten minutes a day on a mental abacus drill closes the gap fast. The Kani ladder is designed exactly for that — start at the level the placement exam recommends, do daily flash drills, and watch the word-problem timed sections get easier in three months.