When parents are researching maths enrichment programmes for primary-age children, Singapore maths and Kumon are two names that come up repeatedly. Both have strong advocates. Both have been running for decades. Understanding what each actually involves — and what each is designed to achieve — makes it considerably easier to decide which approach suits your child’s situation.

What Singapore Maths Is

Singapore maths is a teaching methodology, not a single product or franchise. It refers to the approach developed in Singapore over the past thirty years — an approach that has consistently produced some of the highest maths attainment results in the world, as measured by assessments such as TIMSS and PISA.

The methodology is built on three core principles. First, the Concrete–Pictorial–Abstract (CPA) progression: children begin with physical or digital manipulatives, move to visual representations (including the bar model), and only then work with purely symbolic notation. Second, a depth-first curriculum: fewer topics covered per year, but each one explored thoroughly before moving on. Third, a strong emphasis on problem-solving and reasoning rather than on repeating calculation procedures.

The bar model — a visual method for representing mathematical relationships — is particularly central at primary and 11+ level. You can read more about how it works in our post on the bar model method, and explore the wider teacher-training context through our sister company Bar Model Company, which trains teachers in CPA pedagogy across the UK and internationally.

What Kumon Is

Kumon is a structured worksheet programme developed in Japan in the 1950s. It operates through a franchise network of physical (and now some online) study centres. The model is based on daily practice: children work through carefully sequenced, incremental worksheets, beginning slightly below their current level and advancing through thousands of graded exercises over months and years.

Kumon’s strengths are consistency and fluency. Children who complete the programme over several years typically develop strong arithmetic speed and accuracy. The method is self-paced within its sequence, and the daily practice habit it builds is genuinely valuable.

The limitations are equally clear. Kumon is primarily procedural — it is designed to drill calculation methods rather than to develop mathematical reasoning or problem-solving. There is no CPA progression, no bar model, and no particular emphasis on the kind of multi-step reasoning that UK grammar-school exams and GCSE papers now demand. The role of the instructor is to mark worksheets and provide minimal guidance; it is not teaching in the conventional sense.

Singapore Maths vs Kumon: The Key Differences

Understanding vs Fluency

Kumon prioritises fluency — the ability to produce correct answers quickly. Singapore maths prioritises understanding — the ability to know why a method works and to adapt it when the problem changes shape. Both are valuable, but for the UK curriculum, understanding carries considerably more weight. GCSE and A-level papers reward reasoning and method, not speed.

Problem-Solving

Singapore maths is built around problem-solving. Children are regularly asked to encounter unfamiliar problems and work out how to approach them — a skill that transfers directly to the multi-step word problems on 11+ and GCSE papers. Kumon problems, by design, follow a predictable format. The method works within that format and only within it.

Visual Representation

The bar model and other pictorial tools are central to the Singapore approach. Research consistently shows that children who use visual representations in maths develop stronger problem-solving skills. Kumon has no equivalent — it is written calculation from the outset.

Teacher Involvement

In a Singapore maths tuition session, a qualified teacher is actively teaching. They are asking questions, adapting to what the child reveals, adjusting pace, choosing examples, and building understanding in real time. Kumon centres operate on a self-marking worksheet model. The two experiences are genuinely different in nature.

Which Is Right for Your Child?

For children who need to build arithmetic confidence and have the patience for a long-term independent practice programme, Kumon can be effective. It is particularly well-suited to children who are already strong mathematically and benefit from additional daily drills.

For children preparing for the 11+, for children who find maths more challenging or who need to understand rather than just practise, and for children whose school is using a mastery-based curriculum, the Singapore approach is likely to be a better fit. The reasoning skills it develops are exactly what grammar-school papers, national assessments, and later GCSE exams reward.

The two are not mutually exclusive — some families combine Kumon’s arithmetic practice with separate Singapore maths tuition. But if you are choosing one, the decision usually comes down to this: are you primarily looking to build speed and procedural fluency, or to develop genuine mathematical understanding? For most families approaching us, it is the latter.

How Singapore Maths Academy Delivers the Singapore Approach

Our founder was personally trained in Singapore by Dr Yeap Ban Har — the world’s leading Singapore Maths expert — and subsequently served as a consultant and trainer for Maths — No Problem, the company that introduced Singapore maths to the UK. With over two decades of maths teaching experience including a period as Head of Maths at an Ofsted Outstanding school, the methodology at Singapore Maths Academy is not adapted from a textbook — it is the real thing.

Our 11+ maths tuition and secondary maths tuition programmes are built on the same CPA foundations, applied in a way that reflects where each year group actually is. Primary and 11+ work is rich with bar models and pictorial reasoning. KS3 begins the transition to more abstract methods. GCSE and A-level students work primarily in the abstract, with the deep conceptual foundations laid in earlier years paying dividends throughout.

Sessions run in small groups of around four to five (max 8) for primary and secondary students, or one-to-one for students who need a fully tailored programme. You can see more of the approach in practice on our YouTube channel.

If you would like to talk through which approach might suit your child — or find out how our programme compares with what they are already doing — please get in touch. We are happy to have an honest conversation about whether Singapore maths tuition is the right next step.