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DIAGNOSTIC TOOL

ReLURN Learning
Gap Analyzer

Stop guessing. Identify exactly where your child's mathematical foundation is leaking marks with our MOE-aligned diagnostic framework.

What is a "Learning Gap"?

A learning gap isn't just a wrong answerβ€”it's a missing brick in the mathematical pyramid. If a student struggles with Secondary 3 A-Math Calculus, the "gap" often lies in Primary 6 Algebra or Secondary 2 Factorization.

Traditional tuition treats every symptom as an isolated problem. The Learning Gap Analyzer does the opposite β€” it traces every wrong answer back through the syllabus to find the root cause. Fix the foundation, and the advanced topics fall into place.

A Real Example

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Scenario: Sec 2 student scoring 55% in Algebra

A typical tutor would assign more Sec 2 Algebra practice. Here is what the analyzer actually found:

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Surface Symptom:Cannot solve 2x + 5 = 3x βˆ’ 1
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Layer 1 Gap:Does not understand transposition of terms (P6)
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Layer 2 Gap:Unclear on additive inverse β€” why adding βˆ’5 cancels +5 (P5)
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Root Cause:Number sense: does not intuitively grasp that equalities must remain balanced (P3/P4)

Conceptual Gaps

Misunderstanding the 'Why' behind a formula β€” the student memorises steps but cannot adapt to unfamiliar problems.

Procedural Gaps

Errors in the systematic steps of calculation β€” wrong order of operations, sign errors, misapplied methods.

Pedagogical Gaps

Gaps created by rapid syllabus transitions β€” topics introduced in P6 that rely on P5 concepts never fully mastered.

How the Analyzer Works

Four stages from raw answers to a complete remediation plan.

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Step 01

Adaptive Assessment

The student answers 15-25 questions that adapt in real-time. Each correct answer increases difficulty; each wrong answer drills deeper into that topic. The system identifies the student's frontier β€” the edge between what they know and what they almost know.

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Step 02

Knowledge Graph Mapping

Every answer is plotted against the full MOE syllabus graph β€” over 400 topics from P1 to S4 with prerequisite relationships. The analyzer does not just record a score; it builds a directed graph showing exactly which topics are mastered, which are shaky, and which are missing entirely.

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Step 03

Root Cause Tracing

The system walks backward through the graph. A wrong answer on Sec 2 Factorisation triggers a cascade check: is P6 Algebra solid? Is P5 Number Patterns secure? It pinpoints the earliest topic in the chain that is weak β€” that is the true gap. Treat that, and every topic above it stabilises.

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Step 04

Personalised Study Plan

The output is not a score report β€” it is a ranked remediation list. Priority 1: the root-cause topics to fix first. Priority 2: the bridge skills needed before advancing. Priority 3: the current-level topics ready for mastery. Each gap comes with targeted practice questions and estimated time to close it.

From Gaps to Grades

The analyzer gives every student a clear path from where they are to where they want to be.

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For the PSLE Student

  • βœ“Identify which AL band your child is currently operating at per subject
  • βœ“Pinpoint the exact topics preventing them from reaching the next AL band
  • βœ“Close gaps in 2-3 focused sessions instead of weeks of undirected revision
  • βœ“Enter the exam hall knowing exactly what they know and what they have fixed
Target AL1 β†’β†’
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For the O-Level Student

  • βœ“Map current performance to a predicted A1-F9 grade with topic-level breakdown
  • βœ“Identify cascade gaps β€” a Sec 3 A-Math gap that traces back to Sec 1 Algebra
  • βœ“Get a ranked list: fix these 3 topics first for the fastest grade improvement
  • βœ“Stop wasting time on topics already mastered; focus only on what moves the grade
Target A1 β†’β†’
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For the Foundation Builder

  • βœ“Students scoring below 50% often have gaps 2-3 years behind their current level
  • βœ“The analyzer finds those hidden foundation gaps that tuition centres miss
  • βœ“Rebuild the mathematical pyramid from the ground up, one secure topic at a time
  • βœ“Every session includes bridge practice β€” questions that connect the gap topic to the current syllabus
Build Foundation β†’β†’
Behind the Technology

The Knowledge Graph: How the Analyzer Thinks

Most diagnostic tools use a linear model: answer 40 questions, get a percentage score, and a vague statement like "weak in Algebra." That is not a diagnosis β€” it is a label.

The ReLURN Knowledge Graph is different. It is a directed graph of every topic in the Singapore MOE Mathematics syllabus from Primary 1 to Secondary 4, connected by prerequisite relationships:

  • β†’Addition of Fractions (P3) β†’ Addition of Unlike Fractions (P4) β†’ Algebraic Fractions (Sec 1)
  • β†’Number Patterns (P3) β†’ Linear Sequences (P5) β†’ Coordinate Geometry (Sec 2)
  • β†’Area of Rectangle (P4) β†’ Area of Triangle (P5) β†’ Area of Circle (P6) β†’ Volume of Pyramid (Sec 2)

When a student answers a question incorrectly, the analyzer does not stop at that topic. It walks backward through the graph β€” checking each prerequisite in sequence β€” until it finds the first topic that is not secure.

What this means for your child

  • βœ“No more reteaching topics they already know
  • βœ“Every practice session targets the exact gap β€” not the symptom
  • βœ“Progress is measurable: the graph shows topics moving from red β†’ amber β†’ green
  • βœ“Study time is concentrated on the 20% of topics causing 80% of the mistakes

What You Get After the Analysis

The output is not a score. It is an actionable remediation roadmap.

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Topic-Level Mastery Map

Every topic colour-coded: green (secure), amber (shaky), red (gap). See at a glance which areas of the syllabus are safe and which need work.

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Gap Chain Report

For every red topic, the chain of prerequisites is shown. You will see not just what is wrong, but why it is wrong β€” traced back to the root cause.

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Ranked Priority List

Topics sorted by impact. Priority 1 gaps block the most future learning. Fixing them delivers the fastest improvement across multiple topics.

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Time-to-Close Estimates

Each gap comes with an estimated number of practice sessions to move it from red to green. Plan your revision schedule with confidence.

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Grade Projection

Current estimated grade (AL1-AL8 for PSLE, A1-F9 for O-Level) with a clear statement: fix these 3 gaps and the projected grade improves by X bands.

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Progress Tracking

Re-take the analyzer after closing gaps. See the graph change in real-time as topics shift from red to amber to green. Watch the grade projection improve.

With vs. Without the Gap Analyzer

ScenarioWithout AnalyzerWith Analyzer
Student scores 60% in examsTutor assigns more of the same topics β€” inefficient revisionAnalyzer traces root gaps to P5/P6 foundations. Fix those in 3 sessions. Score rises to 78%.
Cannot solve word problemsPractice more word problems β€” addresses symptom, not causeAnalyzer finds weak number sense from P3. Fix the number sense gap. Word problems become solvable.
Pre-PSLE revision planningRandom past-year paper practice β€” luck-based coverageAnalyzer shows exactly which AL band each subject is at. Target the subjects with the biggest gap to the target AL.
Multiple weak topicsSpread effort evenly across all topics β€” slow progress everywhereAnalyzer ranks topics by impact. Fix top 3 priority gaps. 80% of mistakes disappear.
Get Started Free

Know the Gap. Close the Gap.

Stop guessing where the problem is. Start fixing it β€” at the root.

Frequently Asked Questions

Why should I use a diagnostic tool before starting tuition?

Generic tuition often teaches topics the student already knows. A diagnostic tool allows you to bypass the 'filler' and focus 100% of study time on fixing actual gaps, saving months of wasted effort and thousands of dollars in unnecessary lessons.

Is this analyzer aligned to the PSLE and O-Level syllabus?

Yes. Our knowledge graph is updated for the 2026 MOE syllabus changes, including topic removals (e.g., Speed for P6) and new emphasis areas like metacognition and non-routine problem solving.

How long does a diagnostic assessment take?

A typical session takes 20-30 minutes. The adaptive algorithm asks fewer questions by identifying your child's ability band early β€” it stops asking easy questions once it confirms mastery and focuses on the frontier of what they almost know.

How accurate is the grade projection?

The grade projection is based on the knowledge graph density β€” what percentage of topics at each level are secure. It is a directional indicator, not a guarantee. The real value is the gap chain report that shows exactly what to fix to improve the projection.

How often should my child use the analyzer?

We recommend an initial full analysis, then targeted re-assessments every 4-6 weeks. Each re-assessment focuses only on previously identified gaps to measure progress. The knowledge graph updates in real-time as your child practices.

Can the analyzer replace a human tutor?

No β€” and it is not designed to. The analyzer replaces the guesswork in tutoring. It tells the tutor (or parent) exactly what to teach. The combination of AI-driven gap analysis + human instruction is far more effective than either alone.

Questions?

Chat with our SG Math Experts