The Quillino Methodology

Build Math intuition through play with visual interactives and pictures. Practise concepts with a 24/7 AI tutor that asks questions back instead of giving answers. Build critical thinking through heuristics under the MOE syllabus.

Singaporean primary student having an aha moment with a math visualisationPrimary student holding an iPad exploring a Quillino math visualisation
The Quillino Methodolgy

How Students Learn with Quillino

Step 01Hand-drawn doodle of a child dragging a glowing counter — Play and Visualise

Play & Visualise

Every topic starts with an interactive visualisation. Students drag, regroup, fold, and pour until the concept clicks. Free for every student.

Step 02Hand-drawn doodle of a pencil with a checkmark trail — Practice

Practice

99+ adaptive questions per topic, with a 24/7 AI tutor that uses the Socratic method — guiding students with questions instead of handing over answers, so they learn to break each problem into small, manageable steps on their own.

Step 03Hand-drawn doodle of a glowing lightbulb with a bar model inside — Critical Thinking

Think Critically

Word problems to encourage critical thinking and problem solving skills, preparing students for challenging questions that Singapore's MOE syllabus commonly asks.

MOE-specific & Universally aligned Math Pedagogy

The CPA, Polya's and Socratic method

Quillino is built on three long-standing ideas in math education: how children learn a concept (Concrete → Pictorial → Abstract), how they solve a problem once they’ve learned it (Polya’s four steps), and how a tutors guide students when they get stuck (the Socratic method).

CPA.

Concrete → Pictorial → Abstract

Children grasp a concept first by handling it (concrete), followed by seeing it in picture format (pictorial) and finally, working with words and symbols (abstract). Quillino’s visualisations bring math textbooks to life, allowing students to see and learn how math works in real life.

Polya’s four steps.

Understand → Plan → Solve → Check

Many students are able to solve pure math questions but freeze when a question is wrapped in a story, which MOE syllabus commonly asks. Quillino’s AI tutor and word problems are guided by Polya’s four steps, Understand, Plan, Solve, Check. Where students practice breaking down a complex problem.

The Socratic.

Ask → Think → Reason → Discover

When a student is stuck, Quillino’s AI tutor doesn’t hand over the answer. One that gets them unstuck. Students learn by reasoning their way through, not by copying a worked solution, so understanding sticks when they are given a different question which requires the same concepts.

The CPA approach is grounded in Jerome Bruner’s research on how children learn. Polya’s four steps come from George Pólya’s How to Solve It, the book most modern math heuristics trace back to. The Socratic method, teaching by guided questioning, traces back to Socrates and underpins how good tutors have worked one-to-one for centuries.

Try the methodology

Place-Value Discs

Visualisation first. Drag, regroup, watch numbers behave.

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Number Line

Trace the hops. The thinking is visible, not just the answer.

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Measuring Cylinder

Volumes, ratios, fractions. Pour them, fill them, see them.

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Symmetry

Fold. Rotate. Find the line of symmetry yourself.

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More than 200 visualisation explorers

Why an AI tutor that doesn’t give answers

Hints, not answers.

The fastest way to make a child worse at math is to give them the answer. They learn to wait for help instead of working through the problem. Our AI tutor is bound by Polya’s four steps: it asks what the student understands, what they’ve tried, and what step they’re stuck on. It hints. It doesn’t solve.

MOE syllabus alignment

Every visualisation maps to specific P1–P6 strands under the MOE syllabus.

VisualisationP1P2P3P4P5P6
Place-Value Discs
Number Line
Beaker
Symmetry

Coverage reviewed by ex-MOE Curriculum Resource Developer (see advisor).

Gabriel Soh
Curriculum Advisor

Gabriel Soh

Our curriculum advisor brings 10+ years inside MOE: from teacher to curriculum resource developer to pioneering E2K for High Ability Learners. Every Quillino visualisation is reviewed against MOE syllabus alignment.

  • SMU Institute of Innovation & Entrepreneurship
  • Ex-MOE
  • BCG
  • =DREAMS Singapore

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