March 2025

Math Game Rewards: What Research Says About Engagement & Anxiety

Rewards in math games — points, badges, unlocks — are common. But what does the research actually show about their effects on engagement and math anxiety? This article summarizes findings from peer-reviewed studies and meta-analyses, with sources you can verify.

Engagement: The Evidence Is Positive

Several meta-analyses and studies support that game-based math learning can improve motivation and engagement. A 2018 meta-analysis of 17 studies on digital game-based learning in K–12 mathematics found that digital games improved both mathematics achievement and motivation compared to traditional instruction.[1] A 2019 meta-analysis of 24 studies reported a small but statistically significant effect (d = 0.13, p = .02) on math achievement when video games were used versus conventional teaching.[2]

Gamification elements like levels, stickers, and progress tracking have been shown to boost behavioral and cognitive engagement in elementary students. A mixed-methods study of fifth graders using a gamified math platform found significant increases in participation, persistence, and strategic thinking.[3] When rewards provide immediate feedback and visible progress, learners tend to practice more voluntarily.

Math Anxiety: The Picture Is More Nuanced

Math anxiety — fear or tension around math that impairs performance — is a real barrier for many learners. Can games help? A 2023 meta-analysis of 16 experimental studies (686 participants) on game-based interventions for math anxiety reported a small, non-significant overall reduction (effect size ES = -0.32).[4]

Importantly, the results depended on design. Non-digital games showed stronger effects than digital games, which had a negligible mean effect (ES = -0.13). The meta-analysis also found that games were more effective when they included:

All of the digital games in that analysis were single-player, which may explain the weaker results. The authors conclude that games explicitly designed for math-anxious students — with collaboration, adaptability, and features that promote intrinsic motivation — could be more effective.[4]

Competitive Design Can Backfire

Not all game elements help anxious learners. A 2024 study of 1,389 students found that math-anxious students disliked competitive leaderboards more than their non-anxious peers.[5] That suggests high-pressure, ranking-heavy games may worsen anxiety for some, while low-pressure, progress-focused designs may be better suited to those who struggle with math.

This aligns with broader research on math anxiety interventions: approaches that offer cognitive support and reduce performance pressure tend to be more effective.[6]

What This Means for Choosing (or Designing) Math Games

Evidence supports that well-designed reward systems can boost engagement and motivation. For anxiety reduction, design matters: collaborative, low-pressure, and mastery-focused games may help more than competitive, single-player formats. For learners who already experience math anxiety, games that avoid harsh competition and emphasize progress over speed are worth seeking out.

Arithmia is built around exploration and discovery rather than rankings and timers. Progress unlocks new worlds; there are no public leaderboards or punitive scoring. If you're looking for a pressure-free math game that aligns with what research suggests helps anxious learners, it's worth a try.

Join the Beta

Keep learning

Read what makes a math game relaxing for kids or explore our free math tutorials.

References

  1. Byun, J., & Joung, E. (2018). Digital game-based learning for K–12 mathematics education: A meta-analysis. School Science and Mathematics. doi.org/10.1111/ssm.12271
  2. Tokac, U., Novak, E., & Thompson, C. G. (2019). Effects of game-based learning on students' mathematics achievement: A meta-analysis. Journal of Computer Assisted Learning, 35(3), 407–420. doi.org/10.1111/jcal.12347
  3. Özhan, Ş. Ç. & Kocadere, S. A. (2025). Levels, stickers, and strategies: how gamified math tasks foster elementary student engagement. Education and Information Technologies. Springer
  4. Dondio, P., Filonenko, V., & Rocha, M. (2023). Do games reduce math anxiety? A meta-analysis. PsyArXiv. doi.org/10.31234/osf.io/pbq27 — also at arrow.tudublin.ie
  5. Dondio, P., Brennan, A., Rocha, M., & Almo, A. (2024). Exploring the impact of player traits on the leaderboard experience in a digital maths game. International Journal of Serious Games, 11(4), 173–196. Study of 1,389 Irish primary students using "Seven Spells"; math-anxious players disliked leaderboards more than non-anxious peers. doi.org/10.17083/ijsg.v11i4.794
  6. Sammallahti, E. et al. (2023). A meta-analysis of math anxiety interventions. Journal of Numerical Cognition. 50 studies, 75 effect sizes; cognitive support and emotion-regulation interventions showed moderate effects (g ≈ -0.47 for anxiety, 0.50 for performance). jnc.psychopen.eu