A Reflective Analysis of the Development of Young Children’s Number Concepts

Author's Information:

Yi-Huang Shih

Center of Teacher Education, Minghsin University of Science and Technology, Hsinchu, Taiwan

Vol 03 No 02 (2026):Volume 03 Issue 02 February 2026

Page No.: 214-218

Abstract:

Early childhood is a critical period for the development of number concepts. During this stage, learning is not merely the mechanical memorization of abstract symbols; rather, children gradually construct their understanding of “quantity,” “relationships,” and “operations” through lived experiences, hands-on activities, and social interaction. A solid foundation in number concepts not only influences later mathematical achievement but is also closely related to problem-solving abilities, logical thinking, and the development of self-confidence. This article aims to provide a reflective analysis of the development of young children’s number concepts.

KeyWords:

mathematics learning, number concepts, young children.

References:

  1. Gelman, R., & Gallistel, C. R. (1978). The child’s understanding of number. Harvard University Press.
  2. Clements, D. H., & Sarama, J. (2020). Learning and teaching early math: The learning trajectories approach. Routledge.
  3. Craft, A. (2010). Creativity and education futures: Learning in a digital age.     Stoke-on-Trent, UK: Trentham Books. 
  4. Duncan, G. J., et al. (2007). School readiness and later achievement. Developmental Psychology, 43(6), 1428–1446. https://doi.org/10.1037/0012-1649.43.6.1428
  5. Onoshakpokaiye, E. O., & Eyetan, V. (2026). Strategic Framework for Enhancing Mathematical Understanding in Young Learners. Journal of Early Childhood Development and Education, 3(1), 8–14. https://doi.org/10.58723/junior.v3i1.516
  6. Elia, I., Mulligan, J., Anderson, A., Baccaglini-Frank, A., Benz, C. (2018). Early Childhood Mathematics Education: Reflections and Moving Forward. In: Elia, I., Mulligan, J., Anderson, A., Baccaglini-Frank, A., Benz, C. (eds) Contemporary Research and Perspectives on Early Childhood Mathematics Education. ICME-13 Monographs. Springer, Cham. https://doi.org/10.1007/978-3-319-73432-3_16
  7. Juan, C. Y., Shih, Y. H., & Kao, S. C. (2025). Wellbeing strategies for young children in Taiwan’s Early Childhood Education and Care Curriculum Framework: A holistic approach in early childhood education. International Journal of Research in Education, 
  8. Humanities and Commerce, 6(6), 370-375. 
  9. Julian Grenier (2026). Developing children’s early understanding of numbers: Two key research findings to put into action. https://educationendowmentfoundation.org.
  10. uk/early-years/developing-childrens-early-understanding-of-numbers-two-key-research-findings-to-put-into-action
  11. Lee, J. E. (2017). Preschool Teachers’ Pedagogical Content Knowledge in Mathematics. IJEC 49, 229–243. https://doi.org/10.1007/s13158-017-0189-1
  12. Lin, C. F. & Shih, Y. H. (2026). Place identity among Vietnamese women in Taiwan: educational challenges and opportunities for integration. Front. Psychol. 16:1703995. doi: 10.3389/fpsyg.2025.1703995
  13. Lin, J. C., & Shih, Y. H. (2025). Teaching philosophy for children’s learning: Inspiration from the Winnetka Plan. International Journal of Social Sciences and Artistic Innovations, 5(4), 8-16. https://doi.org/10.35745/ijssai2025v05.04.0017 
  14. Ministry of Education. (2026). Preschool curriculum and teaching quality assessment form. Taipei, Taiwan: Ministry of Education.
  15. NAEYC, & NCTM. (2010). Early childhood mathematics: Promoting good beginnings. National Association for the Education of Young Children.
  16. Piaget, J. (1952). The child’s conception of number. Routledge & Kegan Paul.
  17. Schoenherr, J., Schukajlow, S. & Pekrun, R. (2025). Emotions in mathematics learning: a systematic review and meta-analysis. ZDM Mathematics Education 57, 603–620. https://doi.org/10.1007/s11858-025-01651-w
  18. Shih, Y. H., Aslam, M. Z., Pang, PC-I., & Manditereza, B. (2025). Implications of creativity for early childhood science education. RA Journal of Applied Research, 11(8), 685-688. 
  19. Shih, Y. H. (2018). Towards a pedagogy of humanizing child education in terms of teacher-student interaction. Journal of Education and Learning, 7(3), 197-202. doi:10.5539/jel.v7n3p197
  20. Shih, Y. H. (2026a). Mathematics learning area in Taiwanese preschools: Philosophical foundations and educational goals. Social Science and Human Research Bulletin, 3(1), 179-183.
  21. Shih, Y. H. (2026b). Supporting young children’s learning of number concepts:  Possible 
  22. pedagogical approaches. International Journal of Research in Education, Humanities 
  23. and Commerce, 6(6), 308-312.
  24. Teacher A-Bao (2026). The developmental sequence of young children’s number concepts: A comprehensive teaching guide to spark children’s interest in numbers. https://aboakids.com/%E5%B9%BC%E5%85%
  25. Uğraş, M., Çakır, Z., Zacharis, G., & Kalogiannakis, M. (2025). ChatGPT in Early Childhood Science Education: Can It Offer Innovative Effective Solutions to Overcome Challenges? Computers14(9), 368. https://doi.org/10.3390/computers14090368
  26. Vygotsky, L. S. (1978). Mind in society: The development of higher psychological processes. Harvard University Press.
  27. Ye, Y., & Shih, Y. H. (2021). Development of John Dewey’s educational philosophy and its implications for children’s education. Policy Futures in Education19(8), 877-890. https://doi.org/10.1177/1478210320987678 (Original work published 2021)
  28. Zuhal YIMAZ (2017). Young children’s number sense development: Age related complexity across cases of three children. International Electronic Journal of Elementary Education, 9(4), 891-902.