What Is Singapore Math? A Complete Guide for Parents
Singapore math is an American term to describe Singapore's approaches to teaching math. It is not a brand, a textbook, or even a term used in Singapore. The goal of Singapore's math curriculum isn't to teach math. It's to develop problem-solvers.
Singapore uses three key approaches, a spiral curriculum, the Concrete-Pictorial-Abstract (CPA) approach, and bar modeling (the Model Method). The results speak for themselves. Singapore has ranked #1 or near the top of the TIMSS and PISA international math assessments for almost 30 years.
Singapore math doesn't exist in Singapore
There's no such thing as “Singapore math” in Singapore. Math is just math, the same way American football is just “football” in the U.S. The term “Singapore math” was coined in 2001 by Singapore Math Inc., the American company that had started importing Singapore's curriculum materials a few years earlier, in the late 90s. They needed a way to set those textbooks apart from every other program on the U.S. market, so they gave it a name.
The name is iconic, but misleading. Say “Singapore math” and most people picture a specific set of textbooks. But what makes Singapore's approach work has never been about any single textbook. The real advantage is its teaching philosophy, one that Singapore's Ministry of Education spent decades building and refining, and that almost nobody outside Singapore ever talks about.
Why did Singapore math become famous?
In 1995, Singapore ranked #1 in math in the very first cycle of TIMSS (Trends in International Mathematics and Science Study). Singapore has stayed at the top of TIMSS in nearly every cycle since, including the 2023 cycle, where it remained #1. It has also ranked highly in every PISA cycle since its first participation in 2009. In PISA 2022, Singapore scored 575 in math, more than 100 points above the OECD average of 472, and came in first out of all 81 participating countries and economies. (Full breakdown)
Singapore's TIMSS and PISA rankings have attracted global interest in its curriculum and its way of teaching math. By 2015, more than 2,500 U.S. schools, and an even larger number of homeschool families, had adopted some form of Singapore math. Curriculum developers, policymakers, and eventually publishers were all asking the same thing. What was Singapore doing differently? And the answer wasn't in a single textbook. It was in a framework.
The framework behind the curriculum (SMCF)
Most explanations of Singapore math stop at bar models and the CPA approach because they're the most visual and glamorous parts. But what really makes Singapore's curriculum work is the School Mathematics Curriculum Framework (SMCF), something almost nobody outside Singapore talks about. It's what holds the whole approach together.
At the center is a single goal, mathematical problem-solving. It's supported by five components arranged in a pentagon: conceptual understanding, procedural skill, problem-solving processes, metacognition, and productive attitudes toward math. Bar models and the CPA approach are tools used in Singapore's curriculum, but the SMCF is the reason those tools exist in the first place. (Full breakdown, build as its own page, see checklist)
Three key methods of Singapore math
1. A spiral curriculum
In the U.S., Singapore's approach is often described as a “mastery” curriculum rather than a “spiral” one, but that's a huge misconception. Singapore introduces advanced topics early and revisits them at increasing difficulty every year. Take addition for example. Children don't jump straight to adding 3,459 + 2,789 in first grade. They learn to add within 10, then within 20, then within 100, slowly building toward addition within 10,000. And once a topic is introduced, it doesn't disappear until the next grade level. It keeps showing up alongside new topics throughout the year, so understanding compounds instead of resetting. (Full breakdown)
2. The CPA approach
CPA moves students through three stages. First, manipulating physical objects (concrete). Then drawing representations (pictorial). Finally, using numbers and symbols alone (abstract). Manipulatives and bar modeling are both tools within the CPA approach. It's one of the most talked-about parts of Singapore's curriculum, and also the most misused. Many people think CPA is linear. Teach with concrete objects first, take the manipulatives away, move to pictures, take those away too, and finally move to numbers alone. But that's not how the CPA approach actually works. All three stages are meant to work together to build understanding, not get swapped out one after another. (Full breakdown)
3. Bar modeling (the Model Method)
Dr. Kho Tek Hong and his team developed bar modeling in 1983. It's a method that uses rectangular bars to visually represent the relationships in a word problem. It's the secret weapon of Singapore's math curriculum, because it prolongs the pictorial stage of CPA longer than almost any other curriculum in the world, giving students a visual bridge all the way to algebraic thinking.
(Full breakdown)
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| Curriculum | Publisher | Best for |
|---|---|---|
| Dimensions Math (add Amazon affiliate link) | Singapore Math Inc. | The most comprehensive Singapore math curriculum available, meaning less need for supplementary materials. One thing to note, it's designed entirely by an American curriculum team, without any involvement from Singapore. |
| Primary Mathematics 2022 (add Amazon affiliate link) | Marshall Cavendish | Homeschoolers who want the strongest teaching support. This program has the best Singapore math home instructor's guides. It's designed by a Singaporean team with American consultants. |
| Primary Mathematics (US/Standards editions) | Marshall Cavendish | Not recommended for new adopters. They're dated programs with poor teaching guides for both homeschool and school use. |
| Primary Mathematics (SIE edition) | Star Publishing | Families who want the closest match to what Singaporean students use today. But it only comes with a teacher's guide. No home instructor's guide is available yet. |
| Math in Focus | Houghton Mifflin Harcourt | Geared toward school adoption. Not ideal for homeschoolers. |
| Think! Mathematics | Shing Lee Publishers | For school adoption only. Not available for homeschoolers. |
(Full breakdown of which one fits your family)
Is Singapore math the same as Common Core, or “new math”?
No, and this is the single most common confusion parents run into. Number bonds, bar models, and manipulatives show up in Common Core-aligned curricula too, because most current U.S. math programs borrowed surface features from Singapore's approach over the last 30 years. Borrowing a visual tool isn't the same as adopting the framework behind it, though. (Full comparison)
Is Singapore math a good fit for homeschoolers?
Singapore's actual school system runs on a fast, high-stakes timeline that most homeschoolers wouldn't want to replicate. Singapore's curriculum was also never designed to be rushed. It was designed to build deep understanding over time. Homeschool is arguably the best setting for Singapore's approach, because you get to control the pace and can let your child get the most out of it.
Frequently Asked Questions
Is Singapore math a real curriculum in Singapore?
No. “Singapore math” isn't a term used in Singapore. It's a term created in the U.S. to market textbooks built on Singapore's approach. In Singapore itself, students and teachers use Ministry of Education-approved textbooks, taught as part of the country's single, nationally standardized math syllabus. There's no separate “Singapore math” track or brand to opt into. The version now sold in the U.S. as Primary Mathematics (SIE edition) is the direct international adaptation of those same MOE-approved books, published by Star Publishing with the Ministry's approval. Every other Singapore math curriculum sold in the U.S., including Dimensions Math, Primary Mathematics 2022, and Math in Focus, is one step further removed. It's adapted from Singapore's approach, rather than a copy of the textbooks Singaporean students use today.
Who invented Singapore math?
No single person invented Singapore math. Its methods weren't dreamed up. They were synthesized from and backed by research, which is why Singapore's approach is, simply put, the scientific way of teaching mathematics. SMCF's core structure closely resembles the five-strand model the National Research Council later synthesized from decades of research in its landmark 2001 report, Adding It Up, which arrived 13 years after Singapore had already implemented its own framework. The spiral curriculum and the CPA approach are both adapted from American psychologist Jerome Bruner's work on how children build understanding, and the Model Method (bar modeling) was created in 1983 by Dr. Kho Tek Hong and his curriculum team, based on how the mind represents relationships between quantities.
Is Singapore math the same as Common Core or “new math”?
No, and this is the most common confusion parents run into. Common Core is a set of academic standards adopted by U.S. states, describing what students should know at each grade level. It doesn't say how to teach it. Singapore math, by contrast, is an entire system. It's a complete curriculum and teaching methodology built around one goal, developing problem-solvers, not just a checklist of grade-level standards. The two can look similar because many Common Core-aligned U.S. math programs have borrowed visual tools like number bonds and bar models from Singapore's approach over the last two decades. But borrowing a visual tool isn't the same as adopting the philosophy behind it. Singapore's curriculum ties every method back to a single framework in a way most U.S. programs never attempt.
Which Singapore math curriculum should I use?
Dimensions Math gives you the most complete coverage with the least need for supplements, but it's designed by an American team. Primary Mathematics 2022 is closer to authentic Singapore pedagogy and comes with the best home instructor's guides available, which matters if you're teaching this yourself for the first time. Primary Mathematics (SIE edition) is the closest match to what students in Singapore use today, but it only comes with a teacher's guide, not a home instructor's guide, which makes it a harder starting point without training. Math in Focus and Think! Mathematics are built for school adoption, not homeschooling. Here's the honest answer, though. Which textbook you pick matters less than how you teach it. Singapore math is a method, not a set of books. You can teach it with Saxon or Horizons if you know what you're doing. That's exactly what I teach parents to do in my courses, apply the method regardless of which curriculum sits on your shelf.
Is Singapore math good for homeschoolers?
Yes, arguably a better fit for homeschoolers than for a traditional classroom. Singapore's school system runs on a fast, high-stakes timeline built around national examinations, which pushes teachers to move through the curriculum quickly even when students haven't fully absorbed a concept. But Singapore's curriculum itself was never designed to be rushed. It's built to develop deep understanding through the CPA progression and real problem-solving, not speed. In a homeschool setting, a parent controls the pace instead of a classroom clock, which means Singapore math finally gets to work the way it was designed to. It moves at your child's pace, with room to go deeper instead of racing to keep up with a class average.