Table of Contents

• Why Being Top of the Class Does Not Mean They Can Teach Your Child
• The Curse of Knowledge: Why Strong Students Struggle to Teach Maths
• Knowing Maths and Teaching Maths Are Two Different Skills
• Why the Teaching Gap Hurts Most in Maths
• What Does a Good Maths Tutor in Perth Do Differently?
• How to Spot a Qualified, Experienced Maths Tutor in Perth
• When a High Achiever Is the Right Choice, and When They Are Not
• Conclusion
• Helpful Links for Parents
• Resources Used

The Curse of Knowledge: Why Strong Students Struggle to Teach Maths

The main reason strong students struggle to teach is a well documented mental trap called the curse of knowledge. Once you understand something deeply, you lose the ability to remember what it felt like not to understand it, so you skip the very steps a beginner most needs to see.

This is not a personality flaw or laziness. It is how expertise works. First described by economists Colin Camerer, George Loewenstein and Martin Weber in 1989, the curse of knowledge has since been confirmed across teaching, medicine and communication. A classic Stanford study captured it perfectly: people asked to tap out the rhythm of a famous song were sure listeners would recognise it about half the time, yet listeners actually guessed correctly only around two to three per cent of the time. The tappers could hear the tune in their heads and could not imagine that others could not.

Maths makes this worse, because a strong mathematician has bundled dozens of small steps into a single intuitive leap. They look at a problem and simply see the answer forming. A struggling child needs each of those small steps made visible, one at a time, and the expert no longer knows the steps are there.

The effect is measurable in maths specifically. In a 2003 study published in the American Educational Research Journal, Mitchell Nathan and Anthony Petrosino found that people with more advanced mathematics education were actually more likely to misjudge what beginners find difficult, often assuming students must master symbols and equations before they can attempt word problems. That is frequently the opposite of how children really learn.

So when a top student tutor explains a concept and your child still looks blank, the tutor often has only one move: say the same thing again, slightly slower. The step your child is missing remains invisible to them. That is the curse of knowledge in action, and raw talent makes it stronger, not weaker.

If you are not yet sure whether your child needs extra support, our guide on signs your child needs a maths tutor is a useful starting point.

Knowing Maths and Teaching Maths Are Two Different Skills

Knowing maths and teaching maths draw on completely different skills, and being excellent at one does not produce the other. Subject mastery is about holding the knowledge. Teaching is about transferring it into another mind that does not yet think the way you do.

Education researcher Lee Shulman gave this a name in 1986: pedagogical content knowledge. It is the special skill of turning what you know into something a learner can actually grasp, and it sits separately from how much you personally know. A person can have enormous subject knowledge and very little pedagogical content knowledge, which is exactly the profile of many bright young tutors.

Think about what teaching maths really demands. A skilled tutor has to predict where a child will stumble before it happens, recognise the difference between a careless slip and a genuine misunderstanding, and hold three or four ways to explain the same idea so that when the first approach fails, a second is ready. None of that comes from a high mark. It comes from training, reflection and time spent watching real children get stuck.

This is why a registered teacher, or a tutor who has worked with many students over years, often outperforms a more naturally gifted but untrained one. They have built a map of the common wrong turns. When your child takes one, an experienced tutor recognises it instantly, because they have seen it a hundred times before, and they know the way back.

The practical takeaway is simple. When you assess a maths tutor in Perth, the question is not how much maths they know. The question is how well they can take what they know and rebuild it, piece by piece, inside your child’s head.

For more on how to approach this decision, see our full guide on how to choose a tutor in Perth.

Why the Teaching Gap Hurts Most in Maths

The teaching gap does real damage in every subject, but in maths it does double damage, because maths is cumulative and emotionally loaded. A missed step does not just cost one lesson. It quietly undermines everything built on top of it.

Maths is a ladder. Fractions lean on division, algebra leans on fractions, and senior pathways such as Mathematics Methods and Specialist lean on years of earlier foundations. If a tutor skips the invisible step a child needs in Year 6, that gap does not stay still. It widens with every new topic, until the child is failing tasks that look unrelated to where the trouble actually began.

The emotional cost compounds it. When a child repeatedly fails to follow an explanation, they rarely conclude that the teaching was unclear. They conclude that they are not a maths person. A 2024 study published in Frontiers in Education, which followed more than 1,000 students in Years 3 and 5 across 23 schools in metropolitan Perth, found that almost a quarter of the children expressed negative feelings about testing, a reminder of how early and how easily maths can start to feel like a source of stress rather than success.

That belief is sticky and expensive. A child who decides they are bad at maths stops trying, which guarantees they fall further behind, which confirms the belief. Western Australia has structural moments where this matters, such as the OLNA numeracy requirement that students must meet to graduate, and the maths pathways that shape ATAR outcomes in the senior years.

This is the heart of why teaching skill beats brilliance in a maths tutor. A tutor who cannot make the steps visible does not simply waste an hour. They can convince a capable child that the problem is permanent, when the real problem was only ever an explanation that skipped a step. Read more about understanding the maths performance gap and what it means for Perth students.

What Does a Good Maths Tutor in Perth Do Differently?

A good maths tutor does the opposite of what comes naturally to an expert: they slow down, break ideas into their smallest visible parts, and build understanding from the ground up rather than from the answer down. The difference is method, not memory.

Diagnose First

Instead of launching into the topic, a strong tutor works out where the understanding actually broke. A child struggling with algebra in Year 9 may really be missing something from Year 7, and a skilled tutor traces the problem to its source rather than drilling the surface symptom over and over.

Make Thinking Visible

A strong tutor narrates every step out loud, including the tiny ones an expert usually performs silently, so the child can see the full path rather than just the destination. They check understanding constantly, asking the child to explain the reasoning back, because a nod is not proof that anything landed.

Teach the Same Idea More Than One Way

When the standard explanation does not work, an experienced tutor reaches for a picture, a real world example, or a different starting point. Among experienced tutors in Perth, this flexibility is the clearest sign of genuine teaching skill, and it is precisely what a tutor relying on talent alone cannot offer.

Protect Confidence While Rebuilding Gaps

A good tutor normalises mistakes as part of learning, celebrates the moment a concept clicks, and slowly replaces the belief that the child cannot do maths with evidence that they can. That emotional repair is often half the work, and it is impossible without patience and skill.

How to Spot a Qualified, Experienced Maths Tutor in Perth

You can spot a qualified, experienced maths tutor in Perth by testing for teaching ability rather than personal achievement. Because the tutoring industry is lightly regulated, the responsibility to check sits with you, and a few targeted questions reveal a great deal.

Ask how the tutor works out where a child is going wrong. A strong answer describes a process of diagnosis, working backwards to find the missing foundation. A weak answer is some version of more practice, which usually means the tutor only knows how to repeat content, not how to locate a gap.

Ask what they do when a child does not understand the first explanation. You want to hear that they have several different ways to teach the same idea. A tutor who pauses, or who simply says they would go over it again, is telling you they may not have the flexibility your child needs.

Ask about credentials and experience honestly. A qualified maths tutor in Perth who is a registered teacher has trained specifically in how to teach, and any tutor should hold a current Working With Children Check. Experience matters just as much as paperwork, because the map of common mistakes is built over years with many students, not earned in a single exam.

Finally, look for evidence rather than promises. Ask how progress will be tracked and reported over a term, and how the lessons will connect to the Western Australian curriculum and assessments your child actually faces, from NAPLAN numeracy to OLNA and the WACE maths pathways. A structured tutoring centre often answers these concerns by design, since vetting, method and progress tracking are built into how it works. If you would like help finding the right fit, a friendly conversation with a local tutoring centre is a sensible place to begin.

When a High Achiever Is the Right Choice, and When They Are Not

A high achiever can be an excellent maths tutor, so this is not an argument against bright young tutors. It is an argument for choosing on teaching ability rather than marks alone. The two simply need to be assessed separately.

A talented student tutor is often a strong choice in specific situations. If your child is already capable and wants extension, faster pacing, or a study partner who recently sat the same exams, a sharp recent graduate can be ideal and good value. Some high achievers are also natural teachers who instinctively remember their own struggles and explain with real patience. When that is true, you have found something special.

The mismatch appears when a struggling child is paired with a tutor who has never struggled. A child who is well behind, who has lost confidence, or who keeps repeating the same error needs diagnosis and rebuilding, and that is precisely the skill set raw talent does not guarantee. Here, an experienced tutor or a registered teacher will usually achieve far more.

The honest rule is to match the tutor to the need. For confidence repair and foundational gaps, prioritise teaching experience. For extension and exam sharpening, a strong achiever with genuine patience can shine. Either way, the marks alone are never the deciding factor. The ability to make maths make sense always is.

Read more about why consistency matters in tutoring and how regular, structured sessions compound results over time. You may also find our overview of online versus in person tutoring explained helpful when deciding on the format that suits your child best.

Conclusion

A top mark is real evidence of one thing only: that a person learned maths well. It is not evidence that they can teach it, and the very fluency that earns those marks can make a person worse at explaining, not better, because the steps a beginner needs have become invisible to them.

For your child, the tutor who matters is the one who can slow maths down, make every hidden step visible, find the exact point where understanding broke, and rebuild confidence along the way. That is a learned skill, shaped by training and experience, and it is why an experienced or qualified maths tutor in Perth so often outperforms a more naturally gifted one.

So when you choose, look past the headline score. Ask how they diagnose a gap, how they explain an idea a second and third way, and how they will track real progress against the Western Australian curriculum. Choose for teaching, not for talent, and your child gets the thing they actually need: maths that finally makes sense, and the belief that they can do it after all.

Book a free consultation with Champion Tutors today and let us match your child with the right maths tutor for where they actually are.

Helpful Links for Parents

Understand what your child is assessed on in numeracy — School Curriculum and Standards Authority (SCSA)
https://www.scsa.wa.edu.au

NAPLAN numeracy information and example materials for parents — National Assessment Program
https://www.nap.edu.au

Verify a teacher’s registration or learn the standards teachers must meet — Teacher Registration Board of Western Australia
https://www.trb.wa.gov.au

Resources Used

Australian Curriculum, Assessment and Reporting Authority (ACARA), 2024 NAPLAN numeracy results

Grattan Institute analysis of Australian mathematics performance, reported 2025

Camerer, Loewenstein and Weber, the curse of knowledge in economic settings, Journal of Political Economy, 1989

Nathan and Petrosino, expert blind spot among preservice teachers, American Educational Research Journal, 2003

Shulman, pedagogical content knowledge, Educational Researcher, 1986

Roberts and Barblett, young students’ views of NAPLAN, Frontiers in Education, 2024