Singapore Math refers to a family of math curricula based on the methods that made Singapore’s students the top-performing math students in the world on international assessments. The approach emphasizes deep conceptual understanding over procedural memorization, using a concrete-pictorial-abstract (CPA) progression that builds genuine number sense.

In the CPA method, students first work with physical objects (concrete), then move to visual representations like bar models (pictorial), and finally work with numbers and symbols (abstract). This three-step progression means students understand why math works, not just how to get the right answer. The bar model method for solving word problems is particularly powerful and is one of Singapore Math’s most distinctive features.

At a Glance

What to Know

For homeschoolers, there are several Singapore Math editions to choose from. Primary Mathematics (the original, most rigorous) and Dimensions Math (updated with color and modern design) are the most popular for home use. Math in Focus is the textbook version used in some American schools. Most homeschool families choose Primary Mathematics or Dimensions Math.

A typical year requires a Textbook (A and B for each semester), a Workbook (A and B), and a Home Instructor’s Guide. Optional supplements include Extra Practice books and Challenging Word Problems. The cost for a full year of materials runs roughly $50–$150 depending on which edition and supplements you choose.

Singapore Math is a mastery-based curriculum: students focus deeply on one topic before moving on. This contrasts with Saxon’s spiral approach. The trade-off is less built-in review of previously learned topics, which means some students may need supplemental review (flash cards, games, or a program like Xtra Math). The rigor level is high, particularly in the upper elementary grades, and some parents find the Challenging Word Problems genuinely difficult.

Singapore Math is secular, visually engaging (especially Dimensions Math), and produces students with exceptional conceptual understanding and mental math skills. It requires more parent involvement than self-paced programs like Teaching Textbooks, but the mathematical foundation it builds is among the strongest available in any homeschool curriculum.