The myth of the “math gene”: what cognitive science says about practice and success

Neuroplasticity

1. The brain changes when we learn

For much of the last century, intelligence was often discussed as though it were largely fixed. Modern neuroscience gives us a more useful picture. The brain changes in response to experience: networks become more efficient, connections are strengthened or reorganised, and repeated practice can make previously effortful processes easier to retrieve and use.

That does not mean the brain is literally a muscle, and it does not mean every learner will progress at the same rate. It does mean that difficulty today is not a reliable verdict on what a child will be capable of later.

Struggle is not evidence that learning has failed. Often, it is the point at which learning is being built.

Carol Dweck’s work on growth mindset helped popularise the idea that students benefit from viewing ability as improvable rather than fixed [1]. Later research suggests the effects of mindset interventions are usually modest and depend heavily on context, but the core lesson remains valuable: children are better served by language that connects improvement to strategy, effort, feedback and practice than by labels such as “good at maths” or “not a maths person.”

Deliberate practice

2. Practice works best when it targets the weak spot

A child may happily complete three pages of addition and then freeze when fractions appear. Repeating what is already comfortable can build speed and confidence, but it does not automatically repair the area that is causing difficulty.

Research on expert performance, including the work of K. Anders Ericsson and colleagues, emphasised the importance of practice that is purposeful, focused and directed at specific weaknesses [2]. In school mathematics, this translates into a simple principle: find the point of breakdown and practise that point deliberately.

• If equivalent fractions are secure but comparing fractions is not, practise comparison.
• If the calculation is correct but the word problem is misunderstood, practise interpretation.
• If the concept is understood but errors appear under time pressure, practise retrieval and fluency.

Targeted worksheets are useful here because they make the practice narrow enough to diagnose. Instead of asking a child to “do more maths,” they let the learner work repeatedly on a particular mechanism until it becomes more reliable.

Spacing

3. Regular practice is more powerful than occasional intensity

Why can a child understand long division on Tuesday and seem to have forgotten it by Friday? Because forgetting is a normal part of learning.

Hermann Ebbinghaus’s early work showed that newly learned information becomes harder to retrieve over time when it is not revisited. More recent research on distributed practice confirms that learning is generally retained better when practice is spread across time rather than packed into one long session [4].

This is why short, repeated practice sessions can be so effective. Each return to a concept asks the learner to retrieve it again. That retrieval effort strengthens access to the knowledge and makes later recall more dependable.

Feedback

4. Getting something wrong can be useful—if the error is examined

Practice is not simply the act of producing answers. The learning value often comes from comparing an attempt with the correct method and understanding why the first approach failed.

If a child repeatedly practises the same misconception without feedback, repetition can reinforce the wrong pattern. Productive practice therefore needs a feedback loop: attempt, check, explain, correct, try again.

This is one reason visible pen-and-paper working is so useful. A wrong answer is not just a score. It leaves a trail that can reveal whether the problem was conceptual, procedural, attentional or simply a calculation slip.

A practical routine

How to build a science-informed maths practice habit

The research does not suggest that every child needs hours of extra work. It suggests something more manageable: regular, targeted practice with feedback.

Our approach

How this shapes SheetSpectrum

At SheetSpectrum, we design practice around the idea that progress should be specific and visible. Worksheets are organised to help learners strengthen foundations, practise application, move into reasoning and revisit concepts through progressively more demanding work.

The goal is not to prove that every learner is identical. It is to reject the more damaging assumption that a difficult topic reveals a fixed limit. A learner who struggles with fractions today may simply need a clearer explanation, more targeted practice, better feedback and another opportunity tomorrow.