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PSLE Math Heuristics: Problem-Solving Strategies

Learn how PSLE Math Heuristics help Primary 3 to 6 students recognise problem types, choose suitable strategies and solve challenging Math problems systematically.


Taught by Mr Lawrence Ong, NIE-trained former MOE Primary School teacher and Primary Math Heuristics Specialist.

Why Are PSLE Math Heuristics Important?

Not every challenging Math problem can be solved by simply applying a formula. Students need to understand the problem, recognise the relationships between the information given and decide which problem-solving strategy to use.


PSLE Math Heuristics provide students with a structured approach to solving unfamiliar and challenging problems. Rather than memorising solutions, students learn to think through problems systematically and apply appropriate strategies with greater confidence.

A Systematic 3-Step Approach to Solving Math Problems

Recognise

Recognise

Recognise

Understand the problem structure and identify the important information and relationships. 

Select

Recognise

Recognise

Choose an appropriate heuristic or problem-solving strategy for the problem.

Apply

Recognise

Apply

Use the selected strategy systematically to work towards the solution.

Essential PSLE Math Heuristics Students Should Learn

Model Drawing heuristic for solving Primary Math word problems visually

Model Drawing

Finding a Pattern

Finding a Pattern

Visualise quantities and relationships to understand complex problems

Finding a Pattern heuristic for identifying relationships and solving Primary Math problems systemat

Finding a Pattern

Finding a Pattern

Finding a Pattern

Identify patterns and use them to solve complex problems systematically. 

Guess and Check heuristic for solving Primary Math problems through systematic trial and adjustment

Guess and Check

Finding a Pattern

Guess and Check

Make systematic guesses and refine them logically to find the solution. 

Draw a Diagram heuristic for visualising information and solving Primary Math problems systematicall

Draw a Diagram

Finding a Pattern

Guess and Check

Use simple diagrams to visualise information and uncover relationships. 

Grouping Method heuristic for organising quantities into groups to solve Primary Math problems syste

Grouping Method

Before and After Table

Before and After Table

Organise quantities into groups to reveal relationships and simplify the problem. 

Before and After Table heuristic for comparing changes in quantities to solve Primary Math problems

Before and After Table

Before and After Table

Before and After Table

Organise information before and after a change to solve problems systematically. 

Systematic Listing heuristic for organising possibilities and solving Primary Math problems systemat

Systematic Listing

Before and After Table

Systematic Listing

List out possibilities systematically to identify all possible solutions without missing any. 

Assumption Method heuristic for solving Primary Math problems by making an assumption and adjusting

Assumption Method

Before and After Table

Systematic Listing

 Assume all items are of one type, then use the resulting difference to determine the number of each type. 

Visual Spatialization Skills for developing spatial reasoning and solving Primary Math problems invo

Visual Spatialization Skills

Visual Spatialization Skills

Visual Spatialization Skills

Visualise shapes, positions and spatial relationships mentally to understand and solve challenging Math problems. 

Logical Reasoning skills for analysing information, identifying relationships and solving Primary Ma

Logical Reasoning

Visual Spatialization Skills

Visual Spatialization Skills

 Use the clues given to make logical deductions and work systematically towards the correct solution.

Working Backwards heuristic for solving Primary Math problems by starting from the final result and

Working Backwards

Visual Spatialization Skills

Speed Distance Time Line

 Start with the final result given in the problem and work backwards step by step to find the starting value. 

Speed Distance Time Line for understanding the relationship between speed, distance and time in Prim

Speed Distance Time Line

Visual Spatialization Skills

Speed Distance Time Line

Organise speed, distance and time on a timeline to make the journey easier to understand and solve. 


PSLE Math Heuristics Worked Example

Using the Assumption Method

The Assumption Method is useful when a problem involves two different quantities or values and provides information about their combined total. Here is an example of how Mr Lawrence Ong teaches students to recognise and apply this heuristic systematically. 

The Problem

Mrs Chua bought 116 lollipops for her class of 40 pupils. She gave the girls 5 lollipops each and the boys 2 lollipops each. How many girls were there in Mrs Chua’s class? 

Recognise

The problem involves two groups — boys and girls — receiving different numbers of lollipops, while the total number of pupils and lollipops are known. These are useful clues that the Assumption Method can be applied. 

Select

 Assume that all 40 pupils are boys, so each pupil receives 2 lollipops. 

Apply

If all 40 pupils were boys:
40 × 2 = 80 lollipops

But Mrs Chua bought 116 lollipops:
116 − 80 = 36 lollipops

Each girl receives 3 more lollipops than each boy:
5 − 2 = 3 lollipops

Therefore, the number of girls is:
36 ÷ 3 = 12

Answer: 12 girls

By first assuming that all the pupils were boys, we can use the difference in the number of lollipops to determine how many pupils must actually be girls. This is how the Assumption Method helps simplify a problem involving two different quantities.  

Mr Lawrence Ong explaining the Assumption Method in a PSLE Math Heuristics lesson

Watch Mr Ong Explain the Assumption Method

 Watch Mr Lawrence Ong work through this problem and explain how the Assumption Method can be applied step by step. 

Watch Lesson
WATCH FREE HEURISTICS LESSONS →

Want to See More Heuristics in Action?


 Watch Mr Ong work through PSLE Math problems and explain how different heuristics can be applied step by step. 

Bring Effective Primary Math Learning into Your Home


Learning PSLE Math heuristics is most effective when students have the opportunity to see strategies explained clearly, ask questions and receive guidance as they practise. With live online lessons, your child can develop these skills through structured learning with Mr Ong — all from the convenience of your home. 


DISCOVER PRIMARY MATH ONLINE →
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Looking for Other Ways to Support Your Child's Math Learning?


PSLE Math Heuristics is just one of the learning pathways available at Heuristics Mind. Whether your child needs to strengthen specific Math concepts, develop problem-solving skills or receive more comprehensive support, explore our programmes to find the learning option that best matches their needs. 


For broader learning support, learn more about Primary Math Tuition in Singapore. 

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