Paying for grades, screen time for homework, a treat for every test passed — it feels like good parenting, and it often works for a week or two. Then something strange happens: the child does maths only for the prize, and stops the moment it disappears. The research on motivation explains exactly why, and points to something sturdier than any bribe. Here is how to build the kind of motivation that doesn't need topping up.
A nine-year-old used to do extra maths puzzles for fun — she'd ask for them. Then her parents, wanting to encourage the habit, started paying her: a pound for every worksheet finished. For a fortnight it worked beautifully. Then the questions changed. "How much do I get for this one?" "Is this one worth doing?" The puzzles she once did for the pleasure of it had quietly become a job — and a few weeks later, when the novelty of the money wore off, she stopped doing them altogether, including the ones she used to love. The reward hadn't added motivation. It had eaten the motivation that was already there.
This is one of the most counter-intuitive and important findings in all of psychology, and it has direct, daily consequences for how families approach maths. This article is about the difference between motivation that lasts and motivation that evaporates — why the obvious tool (rewards) so often backfires, and what genuinely keeps a child willing to do hard maths over years. It connects closely to our pieces on confidence and mindset and on productive struggle.
The reward trap is so common because it's so reasonable. A child is reluctant about maths; a parent offers an incentive; the child does the maths; everyone's happy. But over weeks a pattern often emerges. The child works only when the reward is on offer. The size of the reward has to keep rising to have the same effect. And — most tellingly — interest in the activity itself seems to drain away, so that even tasks the child once quite liked now feel like chores that require payment.
What's happening is that the child's reason for doing maths has been quietly swapped out. It used to be "because I find this satisfying" or even just "because it's what we do"; now it's "because I get something for it." And once the reward becomes the reason, the activity lives or dies by the reward. Remove it, shrink it, or let it become familiar, and the motivation collapses — because the thing that used to power it from the inside has been displaced.
Here is the idea that makes sense of it all.
Psychologists distinguish two sources of motivation. Intrinsic motivation is doing something because it's interesting, satisfying or meaningful in itself — the child who solves a puzzle for the pleasure of cracking it. Extrinsic motivation is doing something for a separate consequence — a reward, a grade, praise, or to avoid a punishment. The naive assumption is that they add together: a bit of interest plus a reward equals more motivation. But the research shows they can interfere — and that piling extrinsic rewards onto an intrinsically interesting activity can actually reduce the intrinsic motivation underneath.
Think of intrinsic motivation as a slow-burning log fire and extrinsic rewards as a splash of petrol. The petrol gives a dramatic whoosh — instant, exciting, effective. But it burns out fast, leaves you needing more petrol each time, and if you keep dousing the logs in it, they never catch properly on their own. The log fire is harder to light and slower to build, but once it's going it sustains itself for hours with just the occasional poke. Bribes are petrol; genuine interest is the fire. Pour on too much petrol and you can stop the logs ever truly catching — which is exactly what happens when you pay a child for maths they used to enjoy.
This reframes the whole project of motivating a child. The goal isn't to find the perfect reward; it's to protect and grow the fire — the child's own sense that maths is interesting, that they're getting good at it, and that doing it is part of a warm relationship rather than a transaction. Rewards have their uses, but as we'll see, they're a tool to handle with real care.
This is one of the most studied questions in motivational psychology, and the findings are remarkably consistent.
The classic demonstration is Lepper, Greene and Nisbett (1973). Children who already enjoyed drawing were promised a reward for doing it. Afterwards, those who'd been rewarded drew less in free time than children who hadn't been — the reward had turned play into work. This "overjustification effect" has been replicated many times: attach an external reward to an already-interesting activity, and you risk replacing the internal reason with the external one, leaving less motivation when the reward is gone.
Deci, Koestner and Ryan (1999) pulled together 128 experiments and found that tangible, expected rewards (money, prizes, stickers promised in advance) significantly undermined intrinsic motivation, especially for tasks people already found interesting. Crucially, the picture is nuanced: unexpected rewards, and praise framed as information about doing well, were far less harmful — and sometimes helpful. It's not that all rewards are toxic; it's that the controlling, transactional ones tend to corrode interest.
Ryan and Deci's (2000) self-determination theory identifies what actually sustains motivation: autonomy (a genuine sense of choice and ownership), competence (feeling that you're capable and improving), and relatedness (warm connection with people who support you). When these three needs are met, motivation tends to become self-sustaining and is linked to deeper, more durable learning. Maths a child has some say in, can succeed at, and shares with a caring adult generates its own fuel.
It's worth being fair about the debate: not every researcher agrees rewards are as risky as the strongest claims suggest, and for a genuinely tedious task that a child has no interest in, a modest, well-judged reward can help get them over the threshold to start. The honest, balanced conclusion is this: rewards are a blunt, short-term tool with real risks for anything a child might otherwise enjoy — and they are no substitute for autonomy, competence and relatedness, which are what make motivation last.
Three mechanisms explain the pattern, and each suggests a different practical move.
Rewards re-label the reason. When a child is paid for maths, their mind quietly re-files the activity from "something I do because I want to" to "something I do for payment." Once the reward is the official reason, the original interest is no longer needed — and tends to wither. This is the overjustification effect, and it's strongest precisely when the child already had some interest to lose.
Control crowds out ownership. A lot of motivation hinges on autonomy — the sense that I chose this. Rewards (and threats, and nagging) feel controlling: now I'm doing maths because someone is making it worth my while, not because I decided to. The more controlled a child feels, the less the motivation is truly theirs, and the faster it collapses when the controller looks away. Forced enthusiasm is a contradiction.
Competence feeds the fire — which is why success matters more than prizes. The most reliable generator of motivation isn't a reward; it's the feeling of getting good at something. A child who can actually do the maths, who experiences the click of understanding and the satisfaction of a hard problem cracked, has a renewable source of motivation no sticker can match. This is why fixing the skill (see fluency and securing foundations) is often the real motivation strategy — competence and motivation grow together.
Cultures motivate children very differently, and the contrasts are revealing. Tap through five.
UK families often lean on grade-based incentives and the high-stakes pull of exams — strong extrinsic motivators that can drive effort but also breed the "what's it for?" mindset and exam-season burnout. The challenge, widely recognised, is keeping any genuine interest in maths alive underneath a system that constantly signals it's all about the next grade.
The United States produced the foundational motivation research (Deci, Ryan, Lepper) and also has a strong culture of rewards, incentives and gamification in education. It's a live laboratory for the tension this article describes: enormous enthusiasm for motivating with prizes and points, alongside the very science showing those tools can quietly erode the interest they aim to spark.
Several East Asian cultures emphasise effort, duty and family expectation as motivators, with a strong belief that ability grows with hard work. This can sustain impressive persistence in maths — though at times at the cost of intrinsic enjoyment and wellbeing. The transferable lesson is the effort-can-grow-ability belief; the caution is that pressure and obligation are not the same as durable, self-driven motivation.
Finland leans less on high-stakes rewards and pressure and more on a relaxed, interest-respecting approach, with considerable trust placed in students. It's a system that, by lowering the controlling, transactional pressures, leaves more room for autonomy and genuine interest to develop — closer to the conditions the research says sustain motivation.
Across the research, the durable-motivation recipe is consistent regardless of country: support autonomy (real choice), build competence (winnable challenge and visible progress), and provide relatedness (warm, caring support). Systems and families that hit these three tend to grow students who keep going at maths without needing to be bribed — because the motivation has become their own.
The pattern across systems is clear: extrinsic pressure — grades, prizes, obligation — can drive short-term effort, but the cultures and homes that produce willing, durable mathematicians are the ones that also feed autonomy, competence and connection. The prize gets the homework done tonight; the three needs get the child to still care next year.
The aim is to build motivation that doesn't need you to keep paying for it. These moves protect interest, build competence, and offer support without control.
Before you offer your child a prize for maths, ask: "Is this something they might do, or even enjoy, without the reward?" If yes, a reward is risky — you may be about to turn play into work and trade long-term interest for short-term compliance. If it's a genuinely dreaded task and they need a nudge to start, a small, low-key reward can help — but pair it with autonomy ("you choose when"), competence (make it winnable), and warmth, so the motivation has somewhere to take root once the reward fades. The goal is always to make yourself, and the prize, unnecessary.
Educators shape motivation powerfully, often through small choices about how tasks and feedback are framed.
Favour informational feedback over controlling rewards. Feedback that tells a student how they're doing and how to improve supports competence; points, prizes and rankings used to control behaviour can erode the interest underneath. Where possible, let the satisfaction of progress and understanding be the reward.
Build in autonomy and the right challenge. Offering choices in how to approach a problem, and pitching tasks where students can succeed with effort, feeds both autonomy and competence. A class that regularly experiences "I can do this, and I had some say in how" is a class growing its own motivation.
Invest in the relationship. The "relatedness" pillar means a student who feels genuinely supported by a teacher or tutor is more motivated to persist — one reason the human warmth of one-to-one tutoring matters so much. Knowing someone believes in you and is on your side is itself a powerful, durable motivator.
Our practice portal is designed to deliver the steady wins that grow competence: the right level of challenge, instant feedback, and visible progress — the satisfaction of getting good at maths, which no sticker chart can match.
Open the practice portal →"Paying for grades is a great way to motivate maths."
For anything a child might otherwise care about, rewards risk replacing interest with the prize (overjustification), so motivation collapses once the reward stops. Use them sparingly and carefully.
"A bit of interest plus a reward just means more motivation."
They don't simply add — rewards can interfere with and erode intrinsic motivation. The two sources interact, and controlling rewards often crowd out the child's own reasons.
"Motivation is a fixed trait — some kids just have it."
Motivation grows from conditions you can shape: autonomy, competence and warm support. Build those, and even a reluctant child's motivation can become self-sustaining.
It's tempting, when a child resists maths, to reach for the nearest lever — a prize, a threat, a deal. And sometimes a gentle nudge is fine. But the research carries a deeper, more hopeful message: the motivation worth having can't be bought, and trying to buy it can quietly spend the very thing you're trying to build. What lasts is grown, not purchased — from a child's sense that they have some say, that they're getting good at this, and that someone who cares is in their corner. Tend those three things patiently, and one day you'll notice your child doing maths without being asked, without being paid, for the oldest and best reason there is: because, somewhere along the way, it became theirs.
Intrinsic motivation is doing maths because it's interesting or satisfying in itself. Extrinsic motivation is doing it for a separate reward or to avoid a punishment — money, screen time, praise, or fear of a bad grade. Both get a child to do maths, but intrinsic motivation is far more durable and linked to deeper learning, while extrinsic motivation tends to fade the moment the reward or threat is removed.
It depends. Rewarding a child for something they already enjoy can backfire — the "overjustification effect" shows that paying for an activity can replace the interest with the reward, so they do less once it stops. For a genuinely disliked task, a modest reward can help get started. Use rewards sparingly, favour praising effort and progress, and protect the child's own sense of interest and choice.
This is the overjustification effect. When you attach a reward to something a child did for its own sake, their mind can re-file the activity as "work I do for payment" rather than "something I enjoy." Once the reward becomes the reason, the original interest fades — and when the payment stops or feels too small, so does the motivation. The reward crowded out the spark.
Research on self-determination points to three ingredients: autonomy (genuine choice and ownership), competence (a sense of getting better and succeeding at the right level), and relatedness (warm support from people who care). Maths a child has some say in, can succeed at, and shares with a supportive adult tends to generate motivation that sustains itself — no bribery required.
The right kind is. Praising effort, strategy and specific progress ("I love how you kept trying different approaches") supports motivation and a sense of competence. Praising fixed ability ("you're so clever") or using praise to control ("good boy for finishing") can backfire, making children risk-averse or approval-dependent. Aim for genuine, specific, process-focused encouragement.
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