Symmetry detection in early childhood as a foundation for spatial and STEM development
DOI:
https://doi.org/10.48489/quadrante.44327Abstract
Early spatial skills in children predict future mathematical and STEM performance.
This study investigates 4- and 5-year-old children's (N=41) detection of symmetry transformations using simplified coloured magic squares. We examined recognition of invariance through rotations and reflections with visual tasks and tissue paper activities. ANOVA results indicate that rotational symmetry was stable across ages, except for 270° rotations, which showed improvement at age five. In contrast, reflectional symmetry showed significant gains, particularly along vertical and horizontal axes. These findings suggest that reflection tasks demand greater cognitive effort than rotations.
Early educational experiences should therefore gradually introduce rotational activities before reflections to lay the groundwork for developing spatial abilities and symmetry reasoning.
This study also supplements recent discussions on the pedagogical significance of spatial, hands-on learning in early STEM education.
References
Bansil, A. G., & Yabut, E. V. (2025). Educational Intervention Involving Physical Manipulatives for Improving Grade 7 Learners’ Spatial Reasoning Skills. Journal of Practical Studies in Education, 6(3), 1-9. https://doi.org/10.46809/jpse.v6i3.99
Bornstein, M. H., Mash, C., Arterberry, M. E., & Esposito, G. (2023). Vertical Symmetry Is Special to Infants; Vertical Symmetry in Upright Human Faces More So. Symmetry, 15(9), 1767. https://doi.org/10.3390/sym15091767
Brasili, S., & Piergallini, R. (2021). Symmetry and Invariance: Interdisciplinary Teaching. In G. Darvas (Ed.), Complex Symmetries, (pp. 123-142). Birkhäuser. https://doi.org/10.1007/978-3-030-88059-0_11
Brasili, S., & Piergallini, R. (2022). Introducing Symmetry and Invariance with Magic Squares. In J. Morska & A. Rogerson (Eds.). Proceedings of the 16th International Conference; Building on the Past to Prepare for the Future, King’s College, Cambridge, (pp. 63-68). https://doi.org/10.37626/GA9783959872188.0.013
Crisci, R., Dello Iacono, U., & Ferrara Dentice, E. (2024). Axial Symmetry in Primary School Through a Milieu Based on Visual Programming. Digital Experiences in Mathematics Education, 10, 352–381 https://doi.org/10.1007/s40751-024-00146-9
Dehaene, S. (2005). Evolution of human cortical circuits for reading and arithmetic: The “neuronal recycling” hypothesis. Developmental Science, 8(1), 1–12.
Frick, A., Ferrara, K., & Newcombe, N. S. (2013). Using a mental transformation task to study spatial thinking in young children. Mind, Brain, and Education, 7(2), 103–112.
Gilligan-Lee, K. A., Bradbury, A., Bradley, C., Farran, E. K., Van Herwegen, J., Wyse, D., & Outhwaite, L. A. (2022). Spatial thinking in practice: A snapshot of teacher's spatial activity use in the early years' classroom. PsyArXiv. https://doi.org/10.31234/osf.io/zqc2x
Glattfelder, J. B. (2019). The Semantics of Symmetry, Invariance, and Structure. Information -Consciousness-Reality. Springer. https://doi.org/10.1007/978-3-030-03633-1_3
He, C., Rathbun, Z., Buonauro, D., Meyerhoff, H. S., Franconeri, S. L., Stieff, M., & Hegarty, M. (2022). Symmetry and spatial ability enhance change detection in visuospatial structures. Memory & Cognition, 50(6), 1186–1200. https://doi.org/10.3758/s13421-022-01332-z
Hu, Q., & Zhang, M. (2019). The development of symmetry concept in preschool children. Cognition, 189, 131–140. https://doi.org/10.1016/j.cognition.2019.03.022
Ives, W., & Rakow, J. (1978). Children’s ability to solve spatial perspective and rotation problems through language and pictures. Technical Report No. 17.
Krüger, M. (2018). Three-Year-Olds solved a mental rotation task above chance level, but no linear relation concerning reaction time and angular disparity presented itself. Journal of Cognition and Development, 19(1), 68–88.
Lipták, J. (2023). Symmetry perception in prospective preschool and primary school teachers: a pilot study. Zeszyty Naukowe Wyższej Szkoły Technicznej w Katowicach, 17, 169-177. https://doi.org/10.54264/0082
Maresch, G., & Sorby, S. (2022). Perspectives on Spatial Thinking. Journal for Geometry and Graphics, 2021(2), 271-293.
Mix, K., & Cheng, Y. (2012). The relation between space and math: developmental and educational implications. Advances in child development and behaviour, 42, 197–243. https://doi.org/10.1016/b978-0-12-394388-0.00006-x
Pedrett, R., Wiesmann, C. G., & Paunov, S. (2022). Age-related changes in how 3.5- to 5.5-year-olds observe and imagine rotational object motion. Developmental Psychology, 58(4), 679–692.
Piaget, J. (1952). The Origins of Intelligence in Children. International Universities Press.
Polyakov, F. (2019). Are cognitive processes encoded through sequences of geometric transformations? SSRN 3479636. http://dx.doi.org/10.2139/ssrn.3479636
Sarama, J., & Clements, D.H. (2009). Early childhood mathematics education research: Learning trajectories for young children (1st ed.). Routledge. https://doi.org/10.4324/9780203883785
Seah, R., & Horne, M. (2019). A learning progression for geometric reasoning. In D. Siemon, A. Barkatsas, & R. Seah, (Eds.), Researching and using progressions (trajectories) in mathematics education (pp. 157–180). Brill Sense. https://doi.org/10.1163/9789004396449_007
Shaw, R., McIntyre, M., & Mace, W. (1974). The role of symmetry in event perception. In R. B. MacLeod & H. L. Pick (Eds.), Perception: Essays in honor of James J. Gibson. Cornell University Press.
Sztuka, I. M., & Kühn, S. (2025). Neurocognitive dynamics and behavioral differences of symmetry and asymmetry processing in working memory: Insights from fNIRS. Scientific Reports, 15, Article 4740. https://doi.org/10.1038/s41598-024-84988-8
Tosto, M. G., Hanscombe, K. B., Haworth, C. M., Davis, O. S., Petrill, S. A., Dale, P. S., Malykh, S., Plomin, R., & Kovas, Y. (2014). Why do spatial abilities predict mathematical performance? Developmental Science, 17(3), 462–470. https://doi.org/10.1111/desc.12138
Uttal, D. H., Meadow, N. G., Tipton, E., Hand, L. L., Alden, A. R., Warren, C., & Newcombe, N. S. (2013). The malleability of spatial skills: a meta-analysis of training studies.
Psychological Bulletin, 139(2), 352–402. https://doi.org/10.1037/a0028446
Vallortigara, G. (2006). The evolutionary psychology of left and right: Costs and benefits of lateralization. Developmental Psychobiology, 48(6), 418–427.
Yang, C. N. (1996). Symmetry and Physics. Proceedings of the American Philosophical Society, 140(3), 267–288.
Yang, W., Liu, H., Chen, N., Xu, P., & Lin, X. (2020). Is early spatial skills training effective? A meta-analysis. Frontiers in Psychology, 11, 1938. https://doi.org/10.3389/fpsyg.2020.01938
Zaballa, I., Merino, M., Villarroel, J. D. (2025). Symmetry in children's spontaneous drawing and its progression over time. International Journal of Educational Research Open, 9, 100477. https://doi.org/10.1016/j.ijedro.2025.100477
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