Your child knows how to add fractions.
They can calculate percentages.
They remember the formula.
They can solve the examples from class.
Then the school gives them a question that looks slightly different.
Suddenly, they are stuck.
You hear:
“I don't know what they want me to do.”
Or:
“We didn't learn this.”
Yet when you look carefully, the Mathematics behind the question is something your child has already studied.
For many parents in Australia, this can be confusing.
How can my child know the Maths but still struggle with the question?
The problem may not simply be calculation.
Your child may need stronger mathematical reasoning and problem-solving skills.
This distinction is particularly important for learners studying the Australian Curriculum.
Australian Curriculum Maths Is Not Just About Getting the Calculation Right
Mathematics education is more than remembering formulas and completing routine calculations.
Under the Australian Curriculum, learners develop knowledge across areas including:
Number
Algebra
Measurement
Space
Statistics
and
Probability.
But knowing the content is only part of becoming mathematically capable.
Learners also need to understand concepts, work accurately and efficiently, reason mathematically and solve problems.
This means a child can know how to perform a calculation but still find a school assessment difficult.
The missing skill may be deciding which Mathematics to use and why.
A Simple Example
Suppose your child has learned percentages.
Ask:
What is 20% of $250?
The learner may immediately calculate the answer.
Good.
Now ask:
«A jacket originally costs $250. During a sale its price is reduced by 20%. A customer then uses a $15 voucher. How much does the customer pay?»
The underlying Mathematics is still manageable.
But now the learner must:
understand the situation;
identify the relevant information;
decide what to calculate first;
interpret 20% as a discount;
calculate the new price;
then account for the voucher.
The learner is no longer simply performing a calculation.
They are solving a problem.
That difference matters.
“But My Child Knows This Topic”
Parents often say this after seeing an unexpected test result.
And they may be correct.
The child may know the topic.
But knowing a topic can mean several different things.
Level 1: Recognition
“I remember seeing this.”
Level 2: Procedure
“I know the steps when the question looks familiar.”
Level 3: Understanding
“I understand what the Mathematics means.”
Level 4: Application
“I can recognize when to use this Mathematics in a different situation.”
Level 5: Reasoning
“I can explain why my approach works, compare strategies and determine whether my answer makes sense.”
A learner who has reached Level 2 may appear strong during routine homework.
A reasoning question can reveal that deeper understanding still needs development.
Why Repeating More Easy Questions May Not Solve the Problem
Imagine your child can correctly solve:
20% of 100.
30% of 200.
15% of 300.
25% of 80.
Giving another 50 questions in exactly the same format may improve speed.
But will it improve reasoning?
Not necessarily.
At some point, the learner needs questions where the method is not immediately announced.
For example:
Which offer gives better value? Explain your answer.
Or:
A price increased and then decreased by the same percentage. Did it return to its original value? Justify your answer.
Now the learner must think.
This is where tutoring can move beyond repetition.
Signs Your Child May Have a Maths Reasoning Gap
Your child may need more support with mathematical reasoning if they:
perform well on straightforward calculations but poorly on word problems;
frequently ask, “Which formula should I use?”;
struggle when a familiar topic is presented differently;
can produce an answer but cannot explain why it is correct;
wait for an adult to tell them the first step;
become confused by questions containing unnecessary information;
find multi-step problems particularly difficult;
struggle to decide whether an answer is reasonable;
or perform much better during practice than during unfamiliar assessment questions.
These behaviours do not mean your child is bad at Mathematics.
They help identify what kind of Mathematics support may be needed.
Understanding: Does Your Child Know Why?
A useful question for parents is:
“Why?”
Your child solves a fraction problem correctly.
Ask:
“Why did you use that operation?”
Your child solves an equation.
Ask:
“Why can you do that to both sides?”
Your child calculates an area.
Ask:
“Why does this formula make sense?”
You do not need to interrogate your child after every homework question.
But occasional explanation reveals a great deal.
A learner who understands Mathematics should gradually become more capable of discussing their thinking.
Fluency: Can Your Child Use the Maths Efficiently?
Reasoning does not mean basic skills are unimportant.
A learner also needs fluency.
If every basic multiplication fact requires enormous effort, a complex problem becomes harder because the learner's attention is consumed by simple calculations.
Similarly, weak fraction skills can interfere with algebra.
Weak integer skills can cause repeated errors in equations.
Strong mathematical development therefore requires balance.
Learners need:
understanding + fluency + reasoning + problem-solving.
It should not be one instead of the others.
Reasoning: Can Your Child Explain and Justify?
Suppose two learners both answer:
36
One learner can explain:
“I divided the shape into two rectangles, calculated both areas and added them.”
The other learner says:
“I don't know. I just did it.”
The final answer is identical.
The evidence of understanding is not.
Reasoning encourages learners to communicate how they know something is true.
A tutor can develop this by regularly asking:
How do you know?
Why does that work?
Is there another way?
Which method is more efficient?
What would happen if this value changed?
How can you check your answer?
Problem-Solving: Can Your Child Start Without Being Told the Method?
This is one of the biggest differences between routine exercises and genuine problem-solving.
A routine exercise often tells the learner what skill is being practised.
A problem may not.
The learner needs to decide:
What information is useful?
What am I trying to find?
What Mathematics might help?
Have I seen a related problem before?
Should I draw something?
Should I create a table?
Should I estimate first?
What should I calculate?
Does my answer make sense?
These are learnable skills.
Why Word Problems Can Be Difficult Even for Children Who Are Good at Maths
A word problem combines Mathematics with language.
Your child must read the question accurately before doing any calculation.
This means a learner can struggle because of:
mathematical understanding;
reading comprehension;
vocabulary;
attention;
difficulty identifying relevant information;
or difficulty translating words into mathematical relationships.
This is why simply saying:
“Practise more Maths”
may be too vague.
The tutor needs to identify the actual obstacle.
Australian Curriculum Maths: Number
Number is fundamental.
Learners need increasingly strong understanding of numbers and operations.
Depending on the learner's year level, tutoring may involve concepts related to:
whole numbers;
fractions;
decimals;
percentages;
rates;
ratios;
integers;
financial contexts;
and number relationships.
But reasoning questions require more than calculation.
A learner may need to compare strategies, interpret results and apply number concepts to unfamiliar situations.
Australian Curriculum Maths: Algebra
Algebra becomes a major difficulty for some learners because it feels more abstract.
A child may need to understand:
patterns;
relationships;
variables;
expressions;
equivalence;
equations;
and connections between different representations.
If earlier number foundations are weak, algebra can become even harder.
A tutor should therefore avoid assuming:
“The learner struggles with algebra, so we need more algebra worksheets.”
The underlying problem might be fractions, negative numbers, operations or equivalence.
Australian Curriculum Maths: Measurement
Measurement provides excellent opportunities for reasoning.
Instead of only asking a learner to calculate area, ask:
Which measurement do you need?
What unit should the answer use?
Is your answer realistic?
How could you estimate it first?
These questions help connect procedures to meaning.
Australian Curriculum Maths: Space
Spatial reasoning is also important.
Learners may work with shapes, position, transformations and geometric relationships depending on year level.
A learner should increasingly be able to interpret visual information rather than simply memorize geometric formulas.
Australian Curriculum Maths: Statistics
Statistics provides an excellent example of why calculation alone is insufficient.
A learner might correctly calculate an average.
But can they interpret what the average means?
Can they compare data?
Can they identify whether a graph could be misleading?
Can they choose an appropriate representation?
Can they draw a reasonable conclusion?
That requires reasoning.
Australian Curriculum Maths: Probability
Similarly, probability should become more than memorizing a formula.
Learners should develop an understanding of uncertainty, likelihood and how probability can be interpreted in different contexts.
Again:
calculation + interpretation.
“My Child Is in Year 7 and Maths Suddenly Became Difficult”
Glareminds already has a dedicated article addressing Year 7 Maths difficulty in Australia.
But the reasoning problem can affect learners across several year levels.
A child may perform well in earlier years because routine calculations are strong.
As mathematical tasks become more complex, the learner is increasingly expected to connect ideas.
Suddenly, the gap becomes visible.
This is why parents should investigate the type of questions their child gets wrong.
Don't only count the incorrect answers.
Classify them.
Try This With Your Child's Next Maths Test
When your child brings home an assessment, divide incorrect questions into categories.
Category A: Knowledge
They did not know the concept.
Category B: Calculation
They understood what to do but made an arithmetic error.
Category C: Interpretation
They misunderstood what the question was asking.
Category D: Strategy
They understood the information but could not decide how to begin.
Category E: Multi-step reasoning
They completed part of the problem but could not connect the steps.
Category F: Communication
They had the right idea but could not explain or justify it sufficiently.
Category G: Carelessness
They knew exactly what to do but made an avoidable mistake.
Now the result becomes more useful.
Instead of:
“My child got 58% in Maths,”
you can say:
“My child understands the basic calculations, but most lost marks came from multi-step reasoning and interpreting word problems.”
That gives a tutor something specific to work on.
Why a Diagnostic Consultation Can Be Useful
A good diagnostic should not simply tell you:
“Your child scored 60%.”
You already know the child has gaps.
The useful information is:
Where are those gaps?
For example:
Strong calculation.
Weak reasoning.
Good number sense.
Weak algebra foundations.
Good routine fractions.
Weak fraction word problems.
Good understanding when guided.
Weak independent problem-solving.
That creates a more useful tutoring plan.
What Should a Maths Tutor Do Differently?
If reasoning is the problem, the tutor should not spend the entire lesson solving questions for the learner.
The learner needs to think.
A useful progression might be:
Step 1: Tutor demonstrates
The learner sees how a problem can be approached.
Step 2: Tutor and learner solve together
Questions guide the learner's thinking.
Step 3: Learner attempts a related problem
The tutor provides limited support.
Step 4: The question changes
Now the learner must transfer the concept.
Step 5: Learner explains
The learner describes the strategy and reasoning.
Step 6: Learner checks
Does the answer make sense?
That final stage is often overlooked.
Don't Rescue Your Child Too Quickly
This applies to parents and tutors.
Your child looks confused.
You immediately say:
“Multiply by 4.”
The child multiplies by 4 and obtains the correct answer.
But who solved the problem?
You did.
Sometimes a better response is:
“What do you know?”
Then:
“What are you trying to find?”
Then:
“What could you try first?”
Allow productive struggle.
The objective is not to make children frustrated.
It is to give them enough time to think before an adult removes the thinking from the task.
Online Maths Tutoring for Australian Curriculum Learners
Glareminds provides one-to-one online tutoring for learners studying in Australia.
Instead of using a generic international Maths programme, parents can provide:
the child's year level;
current school topics;
recent assessments;
teacher feedback;
homework;
and examples of questions causing difficulty.
This allows tutoring to remain connected to the learner's actual Australian school experience.
Australian Curriculum Maths Tutor in Sydney
Parents searching for a Maths tutor in Sydney may not necessarily need someone physically located in Sydney.
Online tutoring allows families to choose based on:
curriculum understanding;
teaching ability;
availability;
learner compatibility;
and the specific academic problem.
A Sydney learner struggling with reasoning can work online with a tutor who understands the learning objective and can provide targeted one-to-one practice.
Australian Curriculum Maths Tutor in Melbourne
For families searching for a private Maths tutor in Melbourne, the same principle applies.
The first question should not be:
“How many worksheets will my child receive?”
Ask:
“How will you identify why my child is losing marks?”
The answer tells you much more about the tutoring approach.
Maths Tutor for Brisbane Students
Families in Brisbane and Queensland may seek additional support because a learner is struggling with Maths, needs greater challenge or requires more individual attention.
The programme should begin with the child's current year level and schoolwork rather than assumptions based only on age.
Online Maths Tutor for Perth Students
For learners in Perth and Western Australia, online tutoring can also provide one-to-one support without requiring travel to a tutoring centre.
Parents can share current school material digitally and allow the tutor to build lessons around identified gaps.
Tutoring for Adelaide, Canberra, Hobart and Other Australian Families
The same online model can support learners in:
Adelaide
Canberra
Hobart
Darwin
Gold Coast
Newcastle
and other Australian communities.
Location should not determine the quality of academic support a child can access.
Nigerian and African Parents in Australia: Look Beyond “Harder Maths”
For Nigerian and African parents living in Australia, there can sometimes be a temptation to equate academic strength with giving a child more difficult calculations.
Challenge is valuable.
But challenge should match the skills the learner actually needs.
If the Australian school is asking the learner to explain, reason, interpret and solve unfamiliar problems, giving 100 additional routine calculations may not address the weakness.
High expectations are valuable.
But those expectations should be connected to the curriculum the child is actually studying.
Can a Nigerian Tutor Teach Australian Curriculum Maths?
Yes—provided the tutor does the necessary curriculum work.
Nationality does not determine curriculum competence.
A tutor working with an Australian learner should understand:
the learner's year level;
relevant curriculum expectations;
current school content;
the child's strengths and gaps;
and the type of mathematical thinking being expected.
The tutor should not simply import a Nigerian, British or American worksheet and assume it is automatically appropriate.
What About NAPLAN?
NAPLAN matters to Australian families, but this article is deliberately not another NAPLAN-preparation guide.
The bigger objective is to develop mathematical skills that remain useful beyond one assessment.
Reasoning and problem-solving should be developed as part of the learner's normal Mathematics education, not introduced only when a test approaches.
What Progress Should Parents Look For?
If reasoning is improving, you may notice that your child:
starts unfamiliar questions more independently;
asks more specific questions;
explains strategies more clearly;
recognises which information matters;
uses diagrams or other representations without being told;
tries a second strategy when the first fails;
checks whether an answer is reasonable;
makes connections between topics;
and becomes less dependent on someone telling them what operation to use.
These changes matter.
What If My Child Is Already Good at Maths?
Reasoning is equally important for high-performing learners.
A child who quickly completes routine schoolwork may benefit from richer problems rather than simply moving faster through content.
Ask them to:
find multiple solutions;
justify a generalisation;
compare strategies;
create their own problem;
identify an incorrect solution and explain the error;
or apply familiar Mathematics in an unfamiliar context.
Extension should develop thinking, not simply produce a larger pile of worksheets.
What Should You Ask Before Hiring an Australian Curriculum Maths Tutor?
Ask:
Do you understand the Australian Curriculum Mathematics structure?
How will you identify my child's actual Maths gap?
Will you use my child's current schoolwork?
How do you teach reasoning and problem-solving?
Will my child solve questions during the lesson or mostly watch you?
How will you know whether understanding is improving?
Can you show me what my child should practise between lessons?
How will you communicate progress?
These questions are more useful than simply asking:
“Are you good at Maths?”
Looking for an Australian Curriculum Maths Tutor?
Glareminds provides personalised one-to-one online tutoring for learners in Australia, including families in:
Sydney
Melbourne
Brisbane
Perth
Adelaide
Canberra
and other Australian communities.
Support can include:
Australian Curriculum Mathematics
English
Science
academic support
problem-solving
mathematical reasoning
and, separately, coding and technology education.
If your child can perform calculations but struggles when Maths questions require deeper thinking, don't simply add more worksheets.
First identify the problem.
Tell Glareminds:
Your child's year level
City/state
Current Maths topics
Recent assessment result
Examples of difficult questions
and
what you have noticed at home.
This gives us a better starting point for determining the kind of support your child may need.
Your Child May Not Need “More Maths”
They may need better-targeted Maths.
More calculation if fluency is weak.
More explanation if understanding is weak.
More unfamiliar problems if application is weak.
More discussion if reasoning is weak.
More independence if the learner relies heavily on adult guidance.
That is the advantage of one-to-one tutoring.
The lesson can respond to the actual learner.
Glareminds — helping Australian Curriculum learners move from knowing a method to knowing when, why and how to use it.