Repeated failure can quietly shape the way we see ourselves.

Constant failure can take us down one of two paths. We can become desensitised to it and eventually accept poor performance as normal, or every failure can become a painful reminder of what we believe we cannot do. Either way, failure can affect more than our results—it can affect our identity, confidence, and willingness to try.

I know this because I experienced it myself.

I remember not particularly liking Maths at school. At one point, I scored 15% in a Maths exam. I even tried to argue for an extra mark because I believed a question had not been marked correctly. You can imagine the looks I received!

But something changed for me in Year 7.

I went on to score 88% in Maths.

What changed?

It wasn't that I suddenly became a different person or woke up one morning with a mathematical brain. I'd had private tutors here and there, but this tutor was different. His approach fundamentally changed how I thought about Maths and, perhaps more importantly, how I thought about my ability to learn Maths.

Looking back, I can now identify five foundational principles that made a dramatic difference.

1. Change Your Belief About Your Ability

Before my performance changed, my thinking had already limited me.

I had developed a worldview that I simply didn't have the "brain" for Maths. I didn't necessarily say it out loud, but somewhere within me was the belief that some people were naturally good at Maths and I wasn't one of them.

My tutor challenged that belief.

Interestingly, he didn't simply tell me, "You can do Maths." Instead, he took me through a process of thinking differently. Through subtle questions and conversations, he began to challenge the assumptions I had made about my own ability.

That was significant.

Because sometimes the biggest obstacle to improving at Maths isn't the Maths itself. It is what you believe about yourself in relation to the Maths.

If you continually tell yourself, "I'm just not a Maths person," every difficult question becomes evidence that you're right.

But if you begin with the belief that you can learn, improve and develop your mathematical ability, difficulty becomes part of the learning process rather than confirmation of your inability.

Your starting belief matters.

2. Learn Concepts Until You Understand Them

My tutor didn't simply teach me how to get answers.

He taught me why.

If I didn't understand something, we didn't move on just because we'd got the answer. We went back over it until I understood.

That distinction is incredibly important.

There is a difference between knowing that

2 × 6 = 12

and understanding what multiplication represents.

There is a difference between memorising a formula and understanding why and when you should use it.

Maths is interconnected. One concept often becomes the foundation for another. If the foundation is weak, gaps eventually begin to accumulate.

Therefore, don't be afraid to stop and ask:

"Do I actually understand this?"

If the answer is no, go back.

Understanding may take time, but once something genuinely makes sense, it becomes much easier to build upon.

3. Learn to Communicate What You Understand

Another important part of my development was learning that understanding something isn't merely about being able to produce an answer.

You should be able to communicate your thinking.

Explain it.

Talk through it.

Write down your reasoning.

Teach it to someone else.

When you can articulate why you did something—not merely what you did—you begin to expose the depth of your understanding.

Sometimes a student will say, "I understand it," but when asked to explain the process, they struggle to put their thoughts into words.

That's not necessarily a bad thing. In fact, it can be extremely useful because it reveals exactly where the gap in understanding lies.

So don't just practise getting answers.

Practise expressing your mathematical thinking.

4. Develop a Culture of Regular Practice

Improvement doesn't usually happen through occasional bursts of effort.

It happens through consistency.

My improvement wasn't simply because I had a tutor. It was also because I began developing a different relationship with practice.

Maths requires repetition.

You encounter a concept, attempt it, make mistakes, receive feedback, try again, and gradually become more familiar with the process.

Think of it like training a muscle. One workout won't transform you. But consistent training, over time, produces adaptation.

I have a personal example from the archives.

In Year 6, I had a friend in my class who could do mental maths almost effortlessly. He could work through additions, subtractions and equations in his head, and more often than not, he was right.

I remember finding it strange because I hadn't really seen anyone do that before. So I decided to try it myself. Whenever I got Maths homework, I challenged myself to solve the questions in my head before putting anything down on paper.

At first, it was extremely difficult. I would try to hold the numbers in my mind, work through the calculation and inevitably lose track somewhere along the way. But I kept going.

The following week, I tried again.

Then again.

And again.

Eventually, something happened.

I solved one question entirely in my head.

Then it became two.

Then three.

And gradually, what had initially felt almost impossible became something my mind had learned to attempt naturally.

That experience taught me something I have never forgotten:

Your brain adapts to what you repeatedly ask it to do.

The more I practised mentally processing mathematical problems, the more naturally my brain began to anticipate the solution before I reached for my pen.

It was almost as though I was developing an internal mathematical pathway—a habit of thinking through the problem first and then using the written working to confirm what I already expected.

And that, I realised, is a powerful form of quality assurance.

Instead of simply writing down a method and hoping that the answer is correct, you begin to develop an expectation of what the answer should look like. When you eventually calculate it on paper, you have something to check your result against.

If the answer doesn't make sense, you have a reason to pause.

If it does, you can be more confident in your working.

Of course, mental maths isn't about avoiding written methods. Many mathematical problems require writing things down. The point is to develop the ability to think mathematically before you calculate mechanically.

And that ability wasn't created in one afternoon.

It was built through repetition.

One question.

Then another.

Then another.

Until something that once required conscious effort became increasingly natural.

That is why I often tell students that practice isn't simply about doing more questions. It is about training your brain to get better at the thing you repeatedly ask it to do.

The first attempt may feel difficult.

The tenth may feel easier.

And after enough deliberate practice, you may suddenly realise that your brain is doing something today that it couldn't do before.

That's progress.

The same principle applies to learning.

You don't need to spend five hours doing Maths every day. But you do need regular, deliberate practice.

A little done consistently can be far more powerful than a lot done occasionally.

5. Always Seek Improvement

Perhaps the most important principle is this:

Never become satisfied with simply being where you are. Seek improvement.

This doesn't mean you should constantly criticise yourself.

It means developing the mindset of asking:

"What can I do better?"

If you scored 40%, how can you get to 50%?

If you scored 60%, how can you get to 70%?

If you scored 90%, what would it take to become even more accurate, efficient and confident?

And importantly, improvement isn't always represented by a higher percentage.

Perhaps you made fewer careless mistakes.

Perhaps you understood a concept that previously confused you.

Perhaps you can now explain your reasoning more clearly.

Perhaps you can solve a problem independently that previously required help.

These are all forms of progress.

The goal isn't perfection. The goal is progression.

From 15% to 88%

Looking back, that jump from 15% to 88% wasn't simply a story about becoming better at Maths.

It was a story about changing how I approached learning.

I had to change what I believed.

I had to learn concepts rather than simply chase answers.

I had to communicate my understanding.

I had to practise consistently.

And I had to develop a mindset that continually sought improvement.

That experience has stayed with me because it taught me something I now try to pass on to the students I teach:

Sometimes a student doesn't need to be told that they are bad at Maths. They need someone to help them discover that they can become good at it.

Your current grade measures where you are right now.

It doesn't have to define where you will always be.

Start with what you believe.

Build understanding.

Communicate what you know.

Practise consistently.

And keep seeking improvement.

15% doesn't have to be the end of the story.