Few comparisons cause more confusion among parents researching maths tuition than Shanghai maths vs Singapore maths. Both systems produce outstanding international results. Both are often held up as models for the UK to follow. And yet they are genuinely different — in classroom style, teaching philosophy, and the kind of thinking they cultivate in children.
This guide is for parents who want to understand the difference clearly, decide which approach suits their child, and choose a programme that delivers real results rather than borrowed branding.
Where each system comes from
Shanghai maths developed from the high-performing school system in mainland China’s largest city. It is characterised by large-class whole-group teaching, an exceptionally well-trained specialist teaching profession, and a rhythm of frequent, focused practice. When Shanghai’s students topped the PISA international rankings, UK policy makers flew to see what made the difference — and imported much of what they saw into the English mastery curriculum.
Singapore maths, by contrast, emerged from Singapore’s national effort in the 1980s to build a curriculum that would move children from concrete experience to abstract reasoning through deliberate, carefully sequenced teaching. Singapore has topped the PISA and TIMSS rankings repeatedly, and its curriculum has been adopted — in whole or in part — by schools across the world.
Both systems rest on the same foundation: mathematics is a subject every child can succeed in, given the right teaching. The differences lie in how that belief is put into practice.
The classroom experience
A Shanghai maths lesson is highly structured and teacher-led. The teacher presents a single problem, models the solution with great precision, and then leads the whole class through carefully chosen practice questions. Discussion is directed and efficient. Practice is intense.
A Singapore maths lesson is also structured — but the rhythm feels different. Teachers move more deliberately through the concrete–pictorial–abstract (CPA) sequence. Children handle physical objects, then move to visual representations such as bar models, then to abstract symbols. There is more discussion between pupils, more use of visual reasoning, and more time spent on a single concept before moving on.
Both approaches work brilliantly in the right hands. Shanghai’s style plays to disciplined, attentive students in larger classes. Singapore’s style plays to curious, discussion-oriented learners in smaller groups — the format most UK tutoring uses.
The teaching philosophy
The core difference is how each system views the journey to understanding.
Shanghai teaching emphasises precise modelling and intensive practice. The teacher gives the method; the student masters it through careful repetition. Understanding follows fluency.
Singapore teaching puts visual understanding and problem solving at the heart of the lesson. Bar models are not a classroom tool — they are a way of thinking. Children are taught to represent problems before solving them, and to explain their reasoning before moving to a formal method. Understanding leads fluency.
Neither philosophy is “better”. Both produce world-class mathematicians. But for families in the UK and at British-curriculum international schools, the Singapore approach usually fits more naturally — because UK assessments, particularly 11+ and GCSE, reward the kind of flexible reasoning that Singapore maths deliberately cultivates.
The visual tools
One of the most recognisable features of Singapore maths is the bar model — a rectangular diagram used to represent word problems visually. It transforms questions about ratio, fractions, percentages and algebra into a single consistent language that children can reason through.
Shanghai maths uses visual representations too, but less systematically. The emphasis in Shanghai is more often on the written solution than on the intermediate diagram.
For children who find word problems intimidating — and most do — the bar model is transformative. Once a child can draw the problem, they can almost always solve it. This is one of the reasons Singapore maths has become so dominant in UK tutoring, particularly for 11+ and GCSE preparation.
Which approach produces stronger UK exam results
Because UK assessments reward reasoning and problem solving over procedural speed, Singapore maths tuition typically delivers stronger exam results for UK-track children than pure Shanghai-style teaching. This is not a comment on the quality of Shanghai methods — it is a reflection of what the UK exam system is actually testing.
A grade 9 GCSE paper has perhaps a quarter of its marks in unfamiliar, multi-step problems that cannot be solved by procedural recall. A grammar school entrance paper has a similar structure. In both cases, the bar-model reasoning and CPA structure that sit at the heart of Singapore maths translate directly into exam performance.
What to look for in a tuition provider
If you are choosing between Shanghai maths and Singapore maths tuition, three practical questions matter more than any philosophical debate.
What is the class size? Shanghai-style teaching works best in larger classes with strong discipline. Most UK tutoring is delivered in smaller groups, which plays to Singapore’s strengths.
Is bar modelling central to the teaching? If yes, you are looking at Singapore maths tuition, whether or not the provider calls it that. If no, you are looking at something else.
How is reasoning assessed? Strong Singapore maths tutors ask children to explain and justify their thinking in every lesson. Strong Shanghai-style tutors emphasise precise written solutions. Both are rigorous — but the skills they build are different.
Why Singapore maths is our foundation
At Singapore Maths Academy, we teach through the Singapore approach because we believe it is the best fit for UK and British-curriculum international school families. Bar modelling, CPA, and mastery-style sequencing sit at the heart of every lesson. Every teacher is trained in the method. Groups are small. Reasoning and problem solving are central to every session.
That does not mean we dismiss Shanghai’s excellent results — only that the Singapore approach delivers more of what UK parents are actually trying to achieve, more reliably. It is the method that has put children into grammar schools, independent schools, top GCSE grades and strong A Level results for over a decade.
If you would like to see the Singapore approach in action, get in touch via our contact page and experience the Singapore approach first-hand.