Dimensions Math vs Primary Mathematics: Which Singapore Math Curriculum for Homeschool?

If you've decided to use a Singapore Math curriculum for homeschooling, you immediately hit a second decision: which version? There are three main options — Primary Mathematics 2022, Dimensions Math, and Math in Focus — and they're different in ways that matter significantly depending on whether you're preparing for the Singapore PSLE, following the US Common Core, or just want a rigorous maths program without a specific exam destination.

This comparison covers the practical differences that homeschooling parents actually care about: what each program includes, what it costs, how scripted the parent materials are, and which one aligns closest to Singapore's PSLE.

The CPA Method: What All Three Share

All three programs are built around the Concrete-Pictorial-Abstract (CPA) progression, which is the pedagogical foundation of Singapore's internationally recognized mathematics approach.

Concrete: Students work with physical manipulatives — counters, base-ten blocks, fraction tiles — to build intuitive understanding before any symbols appear.

Pictorial: Concepts are represented visually using Singapore's signature bar model method, which makes abstract relationships between quantities visible and manipulable.

Abstract: Only after students demonstrate understanding at the concrete and pictorial levels are formal symbols, algorithms, and equations introduced.

This sequence produces students with genuine number sense and strong mental math skills rather than rote procedural knowledge. It is the reason Singapore consistently tops international maths assessments, and why US, UK, and Australian schools have adopted "Singapore Math" widely. All three programs maintain this methodology — the differences lie in scope, sequence, target market, and parent support materials.

Primary Mathematics 2022

Who it's for: Families in Singapore who need close alignment with the current MOE Maths syllabus, or families anywhere who want the most up-to-date Singapore curriculum for PSLE preparation.

What's in the box: Primary Mathematics 2022 consolidates the traditional textbook/workbook split into an integrated format. Each level includes a Student Book, a Workbook, and a Home Instructor's Guide (HIG). The HIG is heavily scripted — lesson by lesson, with discussion questions, common misconceptions flagged, and suggested manipulative activities. For parents who don't have a strong Maths background or who are managing multiple children simultaneously, the scripted HIG substantially reduces preparation time.

Scope and sequence: Aligned directly with the current MOE Maths syllabus, updated for 21st-century skills and the 2022 curriculum refresh. If your child is preparing for the PSLE, this is the most direct mapping available outside of Singapore's national school system.

Cost: Approximately SGD 120–180 per level for the complete set (Student Book + Workbook + HIG), depending on the supplier.

Limitations: Because it targets the Singapore national market, Primary Mathematics 2022 does not include US Common Core alignment. For families based outside Singapore who may need their children to transition into an American school system, this is a consideration.

Dimensions Math (PK-8)

Who it's for: Developed by Singapore Math Inc. for the US market. Ideal for expatriate families in Singapore, or families elsewhere who want Singapore's methodology with US standards alignment.

What's in the box: Dimensions Math includes a Teacher's Guide (TG), Textbook, Workbook, and Tests. The Teacher's Guide is comprehensive but less prescriptive than the Primary Mathematics HIG — it provides guidance and discussion frameworks rather than word-for-word scripts.

Scope and sequence: Integrated with US Common Core standards alongside the Singapore methodology. The scope and sequence differs from Primary Mathematics in some areas, particularly in how fractions are introduced and how algebra concepts are previewed in upper primary. This can matter if you're mapping to a specific US grade level or state standard.

PSLE alignment: Dimensions Math is not designed for PSLE preparation. It covers Singapore's methodology rigorously but does not follow the exact Singapore MOE scope and sequence. Families in Singapore using Dimensions Math and planning for the PSLE will need to supplement with local assessment books and past-year papers to cover content areas that differ from the MOE syllabus.

Cost: Comparable to Primary Mathematics at approximately USD 100–150 per level for Teacher's Guide + Textbook + Workbook.

Strengths: The integration of CPA methodology with US Common Core makes it the best choice for families who want Singapore-style instruction but are uncertain about whether they'll remain in Singapore or relocate to a US-curriculum environment.

Math in Focus (2020)

Who it's for: Parents who want the most resource-heavy, classroom-style Singapore Math program available — particularly those who prefer highly structured lesson delivery with extensive differentiation materials.

What's in the box: Math in Focus is the most exhaustive of the three programs. Each level includes a Teacher's Edition (significantly thicker than either competitor), Student Editions A and B, Workbooks, reteach modules, enrichment activity books, and online assessment tools. The Teacher's Edition includes scope and sequence charts, lesson plans, pacing guides, and pre-assessment and post-assessment resources.

Cost: The most expensive option. A full year's materials typically cost SGD 250–300, and the Teacher's Edition alone is substantial. For families homeschooling multiple children, the cost multiplies quickly.

PSLE alignment: Math in Focus follows a scope and sequence broadly consistent with Singapore Math methodology but was developed primarily for the US market by Houghton Mifflin Harcourt. Like Dimensions Math, it is not specifically aligned to the current MOE syllabus for PSLE purposes.

Strengths: The depth of differentiation materials (reteach, enrichment, extension) makes Math in Focus genuinely useful if you have a child who needs either remediation or acceleration. The sheer volume of practice problems is also an advantage for exam-oriented families, though the style is more US-standardized-test than PSLE in format.

Singapore Math vs Saxon Math

A separate question that comes up frequently: how does Singapore Math compare to Saxon Math?

Saxon Math uses a spiral approach: topics are introduced incrementally and revisited repeatedly across many lessons. This is the opposite of Singapore Math's mastery approach, where fewer topics are covered per year but at significantly greater depth.

Research on outcomes consistently favors Singapore Math for conceptual depth and problem-solving ability. Saxon Math produces strong computational fluency through repetition, but students often struggle with novel problem types that require reasoning rather than procedure recall. Singapore's bar model method, in particular, equips students to handle multi-step word problems — which are a significant component of the PSLE Maths paper — in ways that Saxon-trained students often cannot replicate without explicit retraining.

For families in Singapore preparing for the PSLE, Saxon Math is not recommended as a primary curriculum. The problem-solving format and content areas diverge too significantly from the MOE syllabus.

Which One Should You Choose?

If you're in Singapore and preparing for the PSLE: Primary Mathematics 2022 is the lowest-risk choice. The direct MOE alignment reduces the supplementation burden in P5 and P6.

If you're an expatriate or plan to relocate: Dimensions Math gives you Singapore's methodology with the flexibility to transition into US or other English-speaking school systems.

If you want maximum resources and have the budget: Math in Focus provides the most exhaustive teaching support, though it comes at a cost premium and requires supplementation for PSLE alignment.

If you're teaching multiple levels simultaneously: The scripted HIG in Primary Mathematics 2022 is the most time-efficient for managing multiple children. Math in Focus provides the best differentiation tools if your children are at very different levels.

One factor that often gets overlooked in this comparison: the curriculum you choose affects more than just Maths outcomes. It affects what your MOE exemption application looks like, how your annual progress reports read, and how easily you can demonstrate PSLE alignment to the Compulsory Education Unit. Primary Mathematics 2022's direct MOE syllabus alignment makes that documentation straightforward in a way that Dimensions Math or Math in Focus doesn't.

The Singapore Curriculum Matching Matrix maps all three programs against MOE requirements and PSLE benchmarks alongside the full range of homeschool curriculum choices, so you can see not just the Maths decision but how the whole curriculum picture fits together for Singapore's regulatory environment.

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