Maths Enrichment vs Regular School Maths Lessons

About the Author

Terry Chew, B.Sc. is a pioneering Singapore mathematics author and educator, best known as the first in Singapore to publish a Maths Olympiad workbook series in 2007. His acclaimed titles, including Unleash the Maths Olympian in You! and Wicked Mathematics, are widely used across Southeast Asia and internationally. He founded Terry Chew Academy to bring competition-level mathematical thinking to mainstream Singapore students. Read full profile ->

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AI Summary

Maths enrichment differs from regular school maths in depth, not content. MOE school lessons cover the national syllabus at a fixed pace for a full class of 30-40 students, limiting how deep any topic can go. Enrichment builds on the same foundation but uses smaller class sizes (6-10 students) and spends more time on non-routine problems that develop reasoning, pattern recognition, and flexibility. Enrichment works best for students who already handle classroom material comfortably and show signs of readiness, such as finishing work quickly or asking "why" instead of "what". It supplements school maths, does not replace it.

A parent recently showed me a Primary 5 school test alongside one of our enrichment worksheets. Same topic. Barely looked like the same subject.

That's not an accident or a flaw in either one. Regular school maths lessons are built to teach the MOE syllabus to a whole class at a steady pace. Enrichment is built to go further, for students who are ready to.

Key Takeaways

• Regular school maths lessons teach the MOE syllabus to a full class at a fixed pace, which limits how deep any one topic can go.
• Maths enrichment builds on the same foundation but adds depth, unfamiliar problem types, and active exploration of ideas and strategies, rather than focusing on any single question.
• The MOE syllabus itself values "thinking, reasoning, communication, application and metacognitive skills", and enrichment builds these same skills, just more deeply.
• Enrichment tends to help students who already understand classroom material well and are ready for more of a challenge.

How Does Maths Enrichment Help Students Stay Ahead of the Singapore MOE Syllabus?

Maths enrichment builds on the strong foundation of the MOE Maths Syllabus by exposing students to a wider range of challenging and unfamiliar problems. 

The syllabus is built around problem-solving, supported by five interrelated components known as the Pentagon Method: 

1. Concepts
2. Skills
3. Processes
4. Metacognition (thinking about how you think)
5. Attitudes. 

Enrichment extends these same ideas beyond routine classroom exercises. Students encounter non-routine questions that require them to think critically, recognise patterns, justify their reasoning, and apply familiar concepts in unfamiliar situations. 

Rather than racing through more questions, they develop the confidence and habits of mind needed to solve problems they have never seen before. This isn't about covering topics earlier than the syllabus but about exploring the same topics with more depth.

"In nearly two decades of teaching Olympiad mathematics, the strongest sign of a student's growth isn't how many problems they finish — it's how long they're willing to sit with one hard problem before giving up." — Terry Chew, B.Sc., Founder, Terry Chew Academy

What Regular School Maths Lessons Are Designed to Do 

School maths lessons are built to teach the national syllabus to every student in a class, within a fixed number of hours each week. 

In Singapore primary schools, this is usually around 5 hours of mathematics instruction per week for a class of 30 to 40 students, in line with MOE class-size guidelines.

MOE's stated aim for the Mathematics syllabus is to help all students learn maths for everyday use and further learning, and to build thinking, reasoning, and problem-solving skills.

However, time and range are limiting factors.

A teacher managing a full class at different paces has to plan for the middle of the class, cover a wide set of topics each term, and move on once most students understand a concept. That's a sensible way to run a classroom. But it’s not built to stretch a student who's already mastered the material weeks ahead of everyone else.

What Maths Enrichment Adds

Enrichment starts from the same syllabus but changes what a student does with it. 

Instead of moving through more questions at the same level, students explore ideas, discuss strategies, and reason through problems they haven't seen before.

At Terry Chew Academy, this means:

• Fewer repeated routine questions, more unfamiliar ones
• Smaller class sizes (usually 6–10 students), so each child can actively discuss their thinking and explore different approaches
• Different problem types, including number theory, combinatorics, and heuristics like the assumption method, working backwards, and the units-and-parts model

None of this goes against the MOE syllabus. It stays within it, just explored more deeply than a regular timetable usually allows.

"The MOE syllabus lists 'non-routine problem solving' as a core skill, but with 30-plus students to get through the term's topics, a school teacher rarely has time to build a whole lesson around one non-routine question. That's the gap enrichment fills." — Terry Chew, B.Sc.

This aligns with the broader research consensus. Peer-reviewed studies have found that students' ability to tackle non-routine problems is strongly correlated with overall mathematics achievement.

Enrichment vs Regular Lessons at a Glance 

A Worked Example: Same Topic, Different Depth 

Take a common topic: percentages. 

A regular classroom question might look like this:

This is a one-step sum. $40 × 25% = $10, so the sale price is $30. Most students who understand percentages solve this quickly. 

That’s the point of a syllabus question: it checks that the concept has been learned.

An enrichment question builds on the same idea but removes the easy path to the answer:

Here, a student can't just use a formula once. They have to work through two changes in a row and notice that a 20% increase followed by a 20% decrease doesn't cancel out because the second percentage is applied to a different starting amount. 

Trying it with real numbers, say a $100 item, shows the final price is $96, which is 4% lower than the original.

Same concept. Much harder for the student to think through. This is the kind of question we build our enrichment lessons around, and it's closer to the trickier long-answer questions students later face in PSLE and O Level.

5 Signs Your Child Is Ready for Maths Enrichment 

Not every student needs enrichment, and starting too early can backfire. Based on our experience with our students at Terry Chew Academy, these are the clearest signs a child is ready:

1. They finish school maths homework quickly and without much trouble.
2. They consistently score in the top band on class tests and exams.
3. They ask, "Why does this work?" instead of "What is the answer?"
4. They enjoy puzzles or logic games outside of maths lessons.
5. They get restless or bored when a topic is being re-taught to the class.

If three or more apply, enrichment is likely a good fit. If none apply, building a stronger foundation first usually works better.

Who Benefits Most From Maths Enrichment

Enrichment works best for a student who already handles regular classroom material well and finishes school homework without much trouble. 

If a child is still working on the basics, we usually suggest strengthening the foundation first, as enrichment builds on solid ground. 

For secondary students preparing for O Level, the same idea applies. I have written more about how our Secondary O Level Maths Tuition uses critical-thinking training to help students tackle the trickier questions that increasingly appear in E Maths and A Maths papers.

How to Tell If Now Is the Right Time for Enrichment

Regular school maths lessons and maths enrichment work best as complementary approaches.

One teaches the syllabus broadly, the other deepens it for students who are ready to go further. If your child is comfortable with their current classroom material and looking for more of a challenge, that's usually the right time to consider enrichment.

You can find out more about our full range of maths courses at Terry Chew Academy, from Primary Maths through to Senior Math Olympiad, or contact us to assess where your child currently stands.

Frequently Asked Questions

What is the difference between maths tuition and maths enrichment?

Maths tuition usually reinforces the school syllabus by covering the same material at a slower pace or with more repetition. Maths enrichment goes deeper, not necessarily into new topics, using non-routine problems, competition-style questions, and heuristics that stretch a student who already understands the classroom material.

At what age should a child start maths enrichment?

Students generally start maths enrichment once they are comfortable with their current school-level material, typically from Primary 3 or Primary 4. Some enrichment programmes, including HAL-preparation and Junior Olympiad tracks, accept students as young as K2 who show strong interest in numbers.

Is maths enrichment only useful for competitions like the Math Olympiad?

No. While enrichment does prepare students well for Olympiad-style competitions, the reasoning skills it builds also carry over directly to the harder problem sums in PSLE and O Level exams- the questions that most often separate an A from an AL1.