The 8 Essential Heuristics
An educator's guide to the 8 problem-solving methods that define Singapore Math excellence.
The 8 Essential Heuristics guide is an educator's reference to the problem-solving methods that define Singapore Math excellence. From the Assumption Method to Model Drawing, these 8 heuristics are the strategic toolkit students need for PSLE Paper 2's highest-weighted word problems. This guide explains when to use each method and provides the decision framework for choosing the right heuristic.
1. Draw a Model
- • Comparison Model: Use when one quantity is 'more than' another
- • Stacking/Unit Model: Use for ratio and fraction 'Units and Parts' problems
2. Make a Systematic List
- • Organize data in a table to ensure no cases are missed (e.g. Area/Perimeter variations)
3. Work Backwards
- • Inverse Operations: Addition ↔ Subtraction, Multiplication ↔ Division
- • Start from the final quantity and reverse each step
4. Look for Patterns
- • Identify the 'Common Difference' or 'Common Ratio' in number sequences
- • Figure Numbers vs Number of Matchsticks patterns
5. Guess and Check / Assumption
- • Assumption Method: 'Assume all are Type A' to find the difference from the total
- • Guess & Check: Use a 3-column table (Guess, Calculation, Check)
6. Act It Out / Realia
- • Physically or mentally simulate the steps described in the problem (useful for 'Flow' problems)
7. Draw a Diagram
- • Timelines (for Speed/Time problems) or Venn Diagrams (for overlapping groups)
8. Simplify the Problem
- • Replace large numbers with simpler ones to identify the required operation
Frequently Asked Questions
What are math heuristics in Singapore Math?▾
Heuristics are systematic problem-solving strategies taught in the Singapore Math curriculum. They include Draw a Model, Make a Systematic List, Work Backwards, Look for Patterns, Guess and Check (Assumption Method), Act It Out, Draw a Diagram, and Simplify the Problem. Identifying the correct heuristic is considered 80% of solving a complex PSLE word problem.
Which heuristic is most important for PSLE?▾
The Model Drawing method (especially Stacking/Unit Models) and the Assumption Method are the two most frequently tested heuristics in PSLE Paper 2. Together they account for the majority of 4-5 mark word problems.
Get More Resources Like This
Subscribe to get ReLURN's latest formula sheets and math tips.