Singapore Math Review:Dimensions vs Primary Mathematics

The one most families mean when they say “math that makes kids actually understand.” Brilliant if you’ll sit with it.

See Singapore Math on Amazon ↗

At a glance

Style
Mastery
Grades
K–8
Taught by
You
Your time
High
Cost
$$
Content
Secular

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Overview

The short version

Singapore Math is the program people mean when they say “math that makes kids understand, not just memorize.” It’s based on how math is taught in Singapore, a country that regularly ranks near the top in international math comparisons, and it has a devoted homeschool following.

The heart of it is a simple sequence: kids handle real objects first, then draw pictures, and only then use symbols. Its famous bar models turn tricky word problems into simple drawings. Lessons are short and compact. The catch is that it expects you, the parent, to be involved.

The materials

What you actually get

Textbook

Short, colorful lessons that introduce each idea with pictures and examples.

Workbook

Practice for each lesson. This is the consumable part.

Teacher’s guide / Home Instructor’s Guide

Explains how to teach each lesson, with activities and answers. The secret to success for most parents.

Optional extras

Extra Practice, Intensive Practice and Challenging Word Problems books for more practice or more challenge.

Levels

Levels and where to start

  1. 1Dimensions MathThe newer program, from pre-K to 8th grade. More colorful, with a clear teacher’s guide. Many homeschoolers now start here.
  2. 2Primary MathematicsThe original program for grades 1–5 (plus K), in several editions: US, Standards, Common Core and 2022.
  3. 3Grades 6–8Dimensions Math 6–8 continues the approach through middle school.

The many editions confuse almost everyone. Pick one program (Dimensions or one edition of Primary Mathematics) and stick with it, so the teacher’s guide, textbook and workbook all match. Free placement tests are on the publisher’s website.

Day to day

What a lesson looks like

  1. 01

    Hands-on start

    Explore the idea with objects or a quick activity from the teacher’s guide.

  2. 02

    Textbook together

    Read the short lesson with your kid and talk through the pictures.

  3. 03

    Guided practice

    Work a few problems together right in the textbook.

  4. 04

    Workbook

    A page or two of independent practice.

  5. 05

    Mental math

    Quick mental strategies, a big part of the Singapore approach.

Pros and cons

What we love, and what to watch out for

What we love

✓ Real understanding

The concrete-pictorial-abstract sequence means kids understand why, not just how. It pays off hugely in algebra later.

✓ Bar models

A simple drawing technique that makes even tough word problems approachable. Parents often say it changed how they think too.

✓ No busywork

Lessons are compact. Kids do fewer problems, but each one does real work.

✓ Strong problem solving

Word problems and mental math are taken seriously, building flexible thinkers.

Heads up

! You need to teach it

The student books are spare. Without the teacher’s guide, nervous parents can feel lost.

! Edition confusion

Dimensions, US, Standards, Common Core, 2022. Mixing editions causes trouble. Buy matching materials.

! It can be ahead

Kids switching in from another program often place a level lower at first. That’s normal and they usually catch up.

The verdict

Is Singapore Math right for your family?

A great fit for

  • ✓Visual and conceptual learners
  • ✓Parents who are willing to teach every lesson
  • ✓Families who want strong problem solvers
  • ✓Kids headed for algebra and beyond

Probably skip it if

  • ×Families who need a program the kid can do alone
  • ×Parents who are very anxious about math and won’t use a teacher’s guide
  • ×Kids who need lots of review built in

Sounds like your kid? Download a free sample and try a lesson together.

See Singapore Math on Amazon ↗

Money and tips

Cost, and how to use it well

A mid-range cost per grade: two textbooks, two workbooks and a teacher’s guide (or two). Textbooks and guides can be reused for siblings; only workbooks need to be bought new.

1

Buy the teacher’s guide, even if you’re good at math. It’s where the teaching lives.

2

Use the free placement test, and don’t worry if your kid places a level lower than their grade.

3

Add a few review problems from older chapters each week, since mastery programs review less.

4

Get comfortable with bar models yourself first. A short video or two is enough.

5

Use Challenging Word Problems for a kid who needs more stretch.

Try the sample. Watch your kid’s face. That’s the real review.

Other options

Alternatives to Singapore Math

Math Mammoth

Similar philosophy, cheaper and written so kids can work alone.

Beast Academy

Even more challenge and puzzles, for curious kids.

Math-U-See

Mastery too, but with video lessons if you don’t want to teach.

Saxon Math

If your kid needs constant review instead of depth.

Want to see everything side by side? Our homeschool math curriculum comparison has all 13 programs, a finder and quick picks.

Questions

Singapore Math FAQ

Is Singapore Math good for homeschool?

Yes, especially for families who want deep understanding and are willing to teach each lesson. It’s one of the most respected homeschool math programs, but it works best with the teacher’s guide.

What is the difference between Dimensions Math and Primary Mathematics?

Both come from Singapore’s approach. Dimensions Math is the newer program, running from pre-K to 8th grade, with a more colorful look and detailed teacher’s guides. Primary Mathematics is the original program for the elementary grades, available in several editions.

Is Singapore Math mastery or spiral?

Singapore Math is mastery-based. It focuses on one topic at a time until it’s understood, with some review built in.

Do I need the Singapore Math teacher’s guide?

Most homeschool parents find it essential. The student books are compact, and the guide explains how to teach each idea with activities and examples.

Ready to try Singapore Math?

Take the placement test, grab a sample lesson, and give it six to eight weeks before you judge it.