How to Build Strong Maths Foundations in Primary School

Strong maths skills start with basic concepts. If a child understands numbers, place value, operations and simple problem-solving early, they have a better base for learning more difficult topics later.

But building maths foundations does not mean making your child complete pages of worksheets every day. Primary students need to understand what numbers mean, explain their thinking and use maths in different situations.

I wrote this topic because I often see parents focus on whether their child can get the correct answer, while the bigger question is whether they understand how they got there. I checked the current Australian Curriculum mathematics guidance to make sure the advice matches what primary students are expected to develop at school.

This guide is for parents and primary school students who want to strengthen basic maths skills, whether your child is doing well or needs extra support.

What Are Maths Foundations?

Maths foundations are the basic concepts and skills children use to understand more advanced mathematics.

The Australian Curriculum: Mathematics covers areas including Number, Algebra, Measurement, Space, Statistics and Probability. It also places importance on mathematical understanding, fluency, reasoning and problem-solving.

For a primary student, strong foundations can include:

• Counting and understanding numbers.
• Place value.
• Addition and subtraction.
• Multiplication and division.
• Fractions and decimals.
• Measurement.
• Shapes and spatial thinking.
• Patterns and relationships.
• Reading simple graphs and data.
• Explaining how an answer was reached.

A child does not need to master everything at once. Skills develop progressively across year levels.

Start With Number Sense

Number sense is one of the most important parts of early maths learning.

It means understanding how numbers work rather than only memorising them.

For example, a child should gradually understand that 48 can be seen as 40 + 8, that 50 is close to 48, and that 6 × 4 means six groups of four.

You can build this at home with simple activities.

Ask questions such as:

1. “Which is bigger, 47 or 74? How do you know?”
2. “What numbers can you add to make 20?”
3. “Can you make 36 in three different ways?”
4. “What comes before and after 500?”

These questions make children explain their thinking instead of simply giving an answer.

Make Place Value a Priority

Place value becomes important as numbers get larger and calculations become more complex.

A child who does not understand that the 5 in 50 represents five tens can struggle later with addition, subtraction, multiplication and decimals.

Try using everyday examples.

For 352, ask your child to identify:

3 hundreds

5 tens

2 ones

Then change one digit and ask what happens to the number.

You can also use blocks, coins or drawings to represent hundreds, tens and ones.

Practise Operations With Understanding

Children need practice with addition, subtraction, multiplication and division. However, speed should not be the only goal.

Ask your child to explain different ways to solve a problem.

For example:

36 + 27 can be solved as 36 + 20 + 7.

Or 36 + 30 – 3.

Both methods reach the same answer, but the child is also learning about numbers and relationships.

The Australian Curriculum describes mathematical proficiency through concepts, skills, procedures and processes, with reasoning and problem-solving integrated into mathematics learning.

Use Real-Life Maths

Children see maths outside school every day.

Use these situations as short learning opportunities.

1. Cooking: Ask your child to measure ingredients or double a simple quantity.
2. Shopping: Ask which item costs more or how much change you should receive.
3. Time: Ask how long an activity lasts.
4. Travel: Read a timetable together.
5. Sports: Calculate scores, distances or averages.

These activities help children connect mathematical ideas with situations they already understand.

Build Multiplication Understanding

Times tables are useful, but memorising them should come with understanding.

Instead of asking only “What is 7 × 8?”, ask:

1. “What does 7 × 8 mean?”
2. “Can you work it out using 7 × 4?”
3. “Can you show 7 groups of 8?”
4. “If 7 × 8 is 56, what is 8 × 7?”

This helps children recognise relationships between multiplication facts.

Work on Fractions Early

Fractions can become difficult when children only learn them as numbers written above and below a line.

Start with real objects.

Cut a sandwich into halves.

Divide a pizza into quarters.

Ask which is larger, 1/2 or 1/4.

Later, connect these examples to fraction notation.

You can also ask your child to identify fractions in everyday situations, such as “We have eaten 3 out of 8 pieces. What fraction is left?”

Teach Children to Explain Their Answers

Getting the answer right is useful. Explaining why it is right is even more useful for long-term learning.

Ask:

• “How did you work that out?”
• “Can you solve it another way?”
• “How do you know your answer makes sense?”
• “What information helped you?”

These questions develop reasoning and help you identify exactly where your child is struggling.

The Australian Curriculum places mathematical reasoning and problem-solving alongside mathematical understanding and fluency.

Use Short, Regular Practice

You do not need a two-hour maths session every night.

A simple routine could be:

• 5 minutes of number facts.
• 10 minutes of one focused skill.
• 5 minutes of a word problem or reasoning question.
• 5 minutes reviewing mistakes.

That is 25 minutes of focused practice.

If your child is struggling with a specific topic, spend more time on that foundation before moving to a harder topic.

Watch for Gaps

Sometimes a child appears to struggle with a Year 4 or Year 5 topic when the actual problem started earlier.

For example, difficulty with fractions may come from weak multiplication or division skills.

Difficulty with decimals may come from weak place-value understanding.

Difficulty with word problems may come from trouble understanding mathematical language.

The Australian Curriculum’s numeracy learning progression recognises that students can progress at different rates across different areas of numeracy.

So instead of repeatedly practising the same difficult worksheet, identify the missing skill first.

When Extra Maths Support Can Help

Extra support may be useful when a child repeatedly struggles with the same concept despite regular practice.

Look for patterns such as:

• Frequent calculation errors.
• Difficulty recalling basic number facts.
• Trouble understanding word problems
• Confusion with place value.
• Difficulty explaining their working.
• Avoiding maths activities.
• Falling behind expected classroom work.

A tutor can help identify specific gaps, teach the concept in smaller steps and give the student targeted practice.

A strong maths foundation develops through consistent practice and understanding. Start with the skills your child currently needs, use everyday situations to make maths meaningful, and give them opportunities to explain their reasoning.

If a child has gaps in a basic concept, going back and fixing that gap is often more useful than rushing into harder topics. The aim is to help your child understand how maths works and feel confident using it in different situations.

FAQs