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Understanding Singapore Math for homeschooling

Discover Singapore Math, a top choice for homeschoolers. It builds real understanding, not just memorization.
Lisa Thorsen
Written byLisa Thorsen
3 min read
Key takeaways
  • Singapore Math emphasizes a deep understanding of math concepts through the CPA approach (Concrete, Pictorial, Abstract), making it a top choice for homeschool families
  • Students often excel in global math rankings, and parents should start with a placement test and utilize the Home Instructor's Guide for effective teaching support.

Singapore Math is a teaching method that focuses on deep understanding of math concepts rather than memorization. It uses visual aids and problem-solving strategies to prepare students for advanced math.

Research from the National Home Education Research Institute (NHERI) shows that homeschooled students typically score 15 to 25 percentile points higher than public school students on standardized academic achievement tests. According to the National Center for Education Statistics (NCES), approximately 3.3 million students were homeschooled in the United States as of 2023, representing roughly 6% of the school-age population.

What is Singapore Math?

Singapore Math is a math curriculum created in Singapore in the 1980s. It’s now a popular choice for homeschool families everywhere. Students using this method often rank #1 in global math tests, like PISA and TIMSS. Instead of just memorizing facts, Singapore Math helps kids really understand math through visuals, mental math, and problem-solving skills. This solid foundation prepares them for higher-level math.

The CPA approach

Singapore Math is built on the CPA framework: Concrete, Pictorial, Abstract. This idea comes from psychologist Jerome Bruner. First, kids use real objects—like base-ten blocks or counters—to grasp concepts. Next, they draw pictures, like bar models and diagrams, to connect to abstract thinking. Finally, they work with numbers and symbols. Singapore’s Ministry of Education insists on this progression. It ensures that students know why math works, not just how to do it.

Bar modeling

Bar modeling is a key tool in Singapore Math. Students draw bars to show known and unknown amounts in word problems. This visual method helps them see what information they have, what they need to find, and how the numbers relate. Bar modeling makes it easier to transition from basic math to algebra. It’s useful in many areas, like fractions, ratios, and complex word problems that usually need algebraic equations.

Tips for success

Singapore Math is effective but requires some effort from parents, especially at first. Start with the free placement test—Singapore Math typically covers topics about a year ahead of U.S. programs. Use the Home Instructor's Guide for step-by-step teaching support. Don’t skip the concrete phase, even if your child seems ready for abstract work; that visual groundwork is important later on. The first month might be tough while you learn the method. If you find Primary Mathematics tricky, try the 2022 Edition for a more parent-friendly approach.

The bottom line

Singapore Math has a proven track record. Students from Singapore consistently lead in international math rankings. This curriculum fosters real understanding of math rather than surface-level skills. Parents need to be involved, especially in elementary years. If you're willing to learn and teach alongside your kids, Singapore Math offers a strong foundation for future math courses.

Frequently Asked Questions

Lisa Thorsen
Written by
Lisa Thorsen

Co-founder, BetterSchool

Lisa is the co-founder of BetterSchool and a homeschool mom of three. BetterSchool administers the largest independent homeschool community in the country — over 350,000 families across all 50 states.

When COVID hit, Lisa and her husband pulled their children out of school and hit the road. Homeschooling wasn't the plan — it was a necessity. But somewhere along the way, the family fell in love with it: the time together, the ability to tailor lessons to each child's interests, learning at their own pace, the freedom to travel, eating healthy on their own schedule, and the countless other benefits that come with homeschooling.

As they traveled, Lisa kept discovering incredible hands-on learning experiences that most homeschool families had no way of finding. She built BetterSchool to make it easy for every family to find and book the experiences that make learning come alive.

Through her community, Lisa has helped hundreds of thousands of parents navigate homeschooling, while also helping local businesses find and serve the homeschool community. She is the former managing partner of a law firm focused on business law and mergers and acquisitions — BetterSchool is her second technology startup. She holds a J.D. from California Western School of Law and a B.A. from Penn State.

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Understanding mental math for homeschoolingUnderstanding base ten blocks

Table of Contents

  • What is Singapore Math?
  • The CPA approach
  • Bar modeling
  • Tips for success
  • The bottom line
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