Articles | Open Access | DOI: https://doi.org/10.37547/tajssei/Volume07Issue04-07

Mental Arithmetic and Its Impact on the Development of Mathematical Abilities

Natella Нorodetska , Master of Pedagogy Director, Neuro Mental Math LLC Leading Expert in Mental Arithmetic Minnesota, USA

Abstract

This article examines the influence of mental arithmetic on the development of mathematical abilities. This domain represents a fundamental cognitive function that underpins mathematical thinking. Over the past decades, interest in this issue has significantly increased due to advancements in neuroscience, psychology, and educational technologies. However, despite extensive research, unresolved questions remain regarding the neural mechanisms underlying mental calculations, the impact of external factors on arithmetic performance, and the effectiveness of various training methods. The objective of this study is to systematize contemporary scientific perspectives on mental arithmetic and its effects on the development of mathematical abilities. A review of the literature reveals that researchers employ a wide range of approaches, from neuroimaging techniques to cognitive experiments focused on the role of auditory and visual stimuli. Nonetheless, scientific debates persist concerning the neuropsychological models of mental arithmetic, its interaction with working memory, and attentional processes. It is concluded that mental arithmetic is a complex, multifaceted process influenced by both individual characteristics and external conditions. The author’s contribution lies in proposing a conceptual framework for understanding the impact of mental arithmetic on the development of mathematical abilities. These findings will be of interest to psychologists, neuroscientists, educators, and developers of mathematical training programs.

Keywords

cognitive processes, mathematical abilities, mental arithmetic, neuroscience, numerical cognition, cognitive training

References

Abdul-Rahman A. A comparison of mental arithmetic performance in time and frequency domains / A. Abdul-Rahman // Frontiers in Psychology. – 2022. – Vol. 13.

Dattola S. Brain active areas associated with a mental arithmetic task: an Elreta study / S. Dattola, L. Bonanno, A. Ielo, A. Quercia, A. Quartarone, F. La Foresta // Bioengineering. – 2023. – Vol. 10. – No. 12.

Farahani F.A. Brain activity measurement during a mental arithmetic task in FNIRS signal using continuous WAVELET transform / F.A. Farahani, M. Dadgostar, Z. Einalou // Frontiers in Biomedical Technologies. – 2021. – Vol. 8. – No. 4. – Pp. 273-284.

Ghouse A. FNIRS complexity analysis for the assessment of motor imagery and mental arithmetic tasks / A. Ghouse, M. Nardelli, G. Valenza // Entropy. – 2020. – Vol. 22. – No. 7. – P. 761.

Kattner F. Task-specific auditory distraction in serial recall and mental arithmetic / F. Kattner, S. Hanl, L. Paul, W. Ellermeier // Memory and Cognition. – 2023. – Vol. 51. – No. 4. – Pp. 930-951.

Kim K. EEG microstate features according to performance on a mental arithmetic task / K. Kim, N.T. Duc, M. Choi, B. Lee // Scientific Reports. – 2021. – Vol. 11. – No. 1. – P. 343.

Lin Ch.H. Developing mental number line games to improve young children’s number knowledge and basic arithmetic skills / Ch.H. Lin // Journal of Experimental Child Psychology. – 2022. – Vol. 222.

Ma D. A modified multivariable complexity measure algorithm and its application for identifying mental arithmetic task / D. Ma, S. He, K. Sun // Entropy. – 2021. – Vol. 23. – No. 8.

Ross W. Mental arithmetic and interactivity: the effect of manipulating external number representations on older children’s mental arithmetic success / W. Ross, F. Vallée-Tourangeau, J. Van Herwegen // International Journal of Science & Mathematics Education. – 2020. – Vol. 18. – No. 5. – Pp. 985-1000.

Salvaggio S. The predictive role of eye movements in mental arithmetic / S. Salvaggio, N. Masson, M. Andres, A. Zénon // Experimental Brain Research. – 2022. – Vol. 240. – No. 5. – Pp. 1331-1340.

Ross W. Mental Arithmetic and Interactivity: the Effect of Manipulating External Number Representations on Older Children’s Mental Arithmetic Success / W. Ross, F. Vallée-Tourangeau, J. Van Herwegen // URL: https://link.springer.com/article/10.1007/s10763-019-09978-z (date of request: 03/06/2025).

Dawei L. Improving mental arithmetic ability of primary school students with schema teaching method: An experimental study / L. Dawei, I. Xin, Y. Huifen, L. Wei // URL: https://pmc.ncbi.nlm.nih.gov/articles/PMC11020525/ (date of request: 03/06/2025).

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Natella Нorodetska. (2025). Mental Arithmetic and Its Impact on the Development of Mathematical Abilities. The American Journal of Social Science and Education Innovations, 7(04), 48–54. https://doi.org/10.37547/tajssei/Volume07Issue04-07