Singapore Math (Primary Mathematics)
by Singapore Math Inc. (Marshall Cavendish) (website )
Mastery-based math using concrete-pictorial-abstract approach and visual bar model method for deep conceptual understanding.
Best Fit For
Families committed to mastery-based learning who value conceptual depth over speed. Parents willing to invest time learning the Singapore method and teaching daily (15-30 min). Students who think logically and respond well to visual representations. Families seeking strong number sense and word problem skills. Those wanting internationally-proven curriculum with above-grade-level rigor.
Not Recommended For
Parents seeking 'open and go' curriculum with minimal teaching required. Families needing spiral review and daily repetition rather than mastery approach. Parents uncomfortable with math or unwilling to learn new teaching methods. Students who need constant variety and gamification. Families without time for daily one-on-one math instruction or preparation.
What Reviewers Say
Singapore Math Primary Mathematics is widely praised by reviewers for teaching deep conceptual understanding rather than rote memorization, using a concrete-pictorial-abstract approach that builds strong number sense and problem-solving skills. Cathy Duffy includes it in her Top Picks, noting it 'teaches children to think mathematically' through visual bar models and systematic progression. The curriculum's international reputation is strong - Singaporean students ranked #1 in math in multiple international assessments. However, reviewers consistently note that it requires significant parent involvement and understanding of the Singapore method. Parents on Well-Trained Mind forums report divided experiences: some describe it as 'a game changer' that built 'rock solid arithmetic skills,' while others struggled with the mental math emphasis and felt concepts moved too quickly without enough reinforcement. Multiple parents mention initial confusion and a learning curve of 'about a month' before the method 'clicked.' The curriculum is approximately one year ahead of U.S. programs, introducing multiplication in 1st grade. Common challenges include juggling three books per semester (textbook, workbook, guide), the need for parent preparation before teaching, and the requirement for manipulatives. The program is particularly praised for word problem instruction via the bar model method, which helps students visualize mathematical relationships.
How It Works
A parent typically begins a 30-to-45-minute daily session by using physical objects like counting cubes or base-ten blocks to introduce a new concept, following the step-by-step lesson plan in the Home Instructor’s Guide. After this hands-on start, the parent and child look at the textbook together to see how those same math concepts are represented through drawings and diagrams called bar models. The child then moves to a separate workbook to practice the math problems independently while the parent stays nearby to check for understanding. A typical week consists of four days of these guided lessons and one day dedicated to cumulative review or solving complex word problems.
Switching to This?
Because this curriculum is generally one grade level ahead of standard U.S. programs, parents should always use the free placement tests provided on the publisher’s website before purchasing. A common community rule of thumb is to place the child one semester or even a full grade level 'behind' their age-based grade to ensure they understand the specific mental math and bar modeling techniques required for higher levels. Families can start mid-year, but it is best to begin at the start of an 'A' or 'B' semester book rather than jumping into the middle of a sequence. If you are switching from a program that emphasizes memorization, expect a transition period of several weeks where the child may feel challenged by the requirement to explain 'why' a math problem works.
Curriculum Details
- Price
- $85 - $150
- Grades
- 1 - 6
- Available As
- Print Digital
- Coverage
- Single subject
- Subjects
- Math
- Pacing
- Some flexibility
- Parent Time
- 15-30 min/day
- Parent Involvement
- Moderate
- Student Independence
- Semi-independent
- Academic Level
- Above grade level
- Worldview
- Secular
Each grade level requires textbooks (2), workbooks (2), and Home Instructor's Guide (2) for approximately $85-100 per year. Workbooks are consumable; textbooks and guides can be reused. Additional costs for manipulatives (~$30-50). Multiple editions available: U.S. Edition, Standards Edition, Common Core Edition, and 2022 Edition at similar price points.
Parent Role:
Parent teaches new concepts using concrete manipulatives and pictorial representations (10-15 min), then student completes workbook practice independently (15-20 min). Parent must understand the Singapore method and CPA approach. Grading and review required. Significant prep time needed initially to learn the methodology.
Videos
Primary Mathematics Curriculum Review- Books 1, 2, & 3 (Singapore Math)
by Kids Learning for Life
Reviews We Consulted
Admits to a steep learning curve for parents who were taught via traditional rote methods but highlights the massive improvement in mental math skills for both student and teacher.
"My son and I BOTH have noticeable better mental math and we are just finishing up 1A! Wow. We are playing math games and learning how to group numbers to make addition and subtraction easier."
Praises the program's transition to U.S.-friendly editions and its emphasis on teaching children how to think mathematically rather than just memorizing mechanics.
"Primary Mathematics has taken the homeschool market by storm, and with good reason. This program teaches children to think mathematically rather than just having them memorize the mechanics of problem solving."
Recommends the program for building exceptional number sense but cautions parents that it requires significant time and teacher involvement, particularly in the younger grades.
"Singapore Math is one of my top recommendations for homeschool math curriculum—but that doesn’t mean it’s right for every child or parent. It requires a lot of teacher involvement, especially in the younger grades."
Appreciates the curriculum's reliability and effectiveness over a decade of use with multiple children, though managing the various books requires organizational commitment.
"This curriculum has been through 10 years and all three of my children. Now that is something that I don’t think I can say about every other curriculum we have used!"
Highly rates the curriculum for its Concrete-Pictorial-Abstract approach, which prioritizes genuine number sense and deep conceptual understanding over repetitive rote practice.
"Singapore Math delivers exceptional conceptual understanding through its concrete-pictorial-abstract approach. Students develop strong mental math skills and genuine number sense."
Applauds the 2022 edition's colorful layout and the structured Home Instructor Guide for fostering student confidence and providing a holistic, rigorous math experience.
"If you are looking for a more holistic way of learning math that is colorful, rigorous, and multifaceted I highly recommend it."
Encourages parents to overcome initial intimidation regarding "new math" because the program's visual approach effectively bridges the gap between abstract symbols and actual understanding.
"Different wasn’t bad at all... It was important that my child understand new math. Come what may to the cat. So I told myself to be brave and decided to dive into new math—Singapore Math—knowing that if all ended in a conflagration of frustration, I could supplement with the more traditional techniques."
Updated: March 2026
How This Compares
Compared to Saxon Math, which uses a spiral approach to review many different topics every day, Singapore Math uses a mastery approach that focuses on one specific concept for weeks until the child fully understands it. When weighed against Math-U-See, Singapore moves much faster from physical blocks to visual drawings and abstract numbers, making it more rigorous for students who pick up concepts quickly. Parents choosing between Singapore and Beast Academy often find that while both are challenging, Beast Academy is more puzzle-focused and can be done more independently, whereas Singapore is more systematic and requires more parent-led instruction. Compared to Math Mammoth, which is an all-in-one worktext, Singapore Math is more logistically complex because it requires parents to juggle a teacher’s guide, a textbook, and a workbook simultaneously. Finally, unlike RightStart Math which relies heavily on oral lessons and games, Singapore provides significantly more written practice, which helps parents who want a clear paper trail of their child’s daily progress.
Getting Started
Find Your Level
Provides diagnostic tools to help parents determine the correct starting grade level (A or B) for their student.
See What It Looks Like
A essential breakdown of the technical differences between the multiple versions of the curriculum to help parents choose the best fit.
Offers a detailed look at the internal components of the most popular homeschool edition, including the Home Instructor's Guides.
Purchase
The primary site for purchasing textbooks, workbooks, and teacher guides for the 2022, US, and Standards editions.
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