The Development of Children's Early Numeracy Skills in The Piaget’s Preoperational Stage
Abstract
Early numeracy skills are crucial for young children's cognitive and mathematical development, particularly during the preoperational stage (ages 2-7), when they begin to develop symbolic thinking and foundational mathematical concepts. This study investigates the progression of early numeracy skills in two preschool-aged children (Child H and Child K), focusing on their ability to engage with numeracy concepts such as counting, cardinality, numeral identification, and number combination. Using a qualitative case study approach, the research observes the children's numeracy behaviors through assessments and direct observation during play-based learning activities. Findings reveal notable differences in the children’s numeracy development: Child H demonstrates stronger skills in one-to-one counting, subitizing, number ordering, and problem-solving, while Child K shows emerging abilities but struggles with tasks such as number comparison and number combination. These differences highlight the variability in the development of numeracy skills, with confident children progressing more rapidly in their understanding of numbers and relationships. The study emphasizes the importance of concrete, hands-on learning experiences in developing mathematical thinking, mainly through physical manipulatives and interactive, game-based activities. The results underscore the need for tailored learning experiences to support children in the preoperational stage, which has implications for early childhood educators in fostering a strong mathematical foundation.
Full Text:
PDFReferences
Ahmad, S., Phil, M., Hussain, A., Sittar, K., & Malik, M. (2016). Play and Cognitive Development: Formal Operational Perspectiveof Piaget’s Theory. Journal of Education and Practice, 7(28), 72–79. www.iiste.org
Babakr, Z. H., Mohamedamin, P., & Kakamad, K. (2019). Piaget’s Cognitive Developmental Theory: Critical Review. Education Quarterly Reviews, 2(3), 517–524. https://doi.org/10.31014/aior.1993.02.03.84
Claesens, A., & Engel, M. (2013). How Important is Where you Start? Early Mathematics Knowledge and Later School Success. Teachers College Record. https://doi.org/https://doi.org/10.1177/016146811311500603
Crystallography, X. D. (2016). Developing Early Numeracy and Early Literacy Skills in Preschool Children Through a Shared Parent/Child Book Reading Intervention: A Multiple-Baseline Single Case Design Study. 1–23.
Douglas, A. A., Zippert, E. L., & Rittle-Johnson, B. (2021). Parents’ numeracy beliefs and their early numeracy support: A synthesis of the literature. In Advances in Child Development and Behavior (1st ed., Vol. 61). Elsevier Inc. https://doi.org/10.1016/bs.acdb.2021.05.003
Elliott, L., & Bachman, H. J. (2018). How Do Parents Foster Young Children’s Math Skills? Child Development Perspectives, 12(1), 16–21. https://doi.org/10.1111/cdep.12249
Ghazi, S. R., & Ullah, K. (2016). Concrete Operational Stage of Piaget’s Cognitive Development Theory: An Implication in Learning General Science. Gomal University Journal of Research [GUJR], 31(1).
Girard, C., Bastelica, T., Léone, J., Epinat-Duclos, J., Longo, L., & Prado, J. (2021). The relation between home numeracy practices and a variety of math skills in elementary school children. PLoS ONE, 16(9 September), 1–25. https://doi.org/10.1371/journal.pone.0255400
Kanwal, W. (2023). Development of skills at the preoperational stage ; A comparative study on Cognitive development of Urban and rural children. 7(1), 15–28.
Kesicioğlu, O. S. (2021). Investigation of Counting Skills of Pre-School Children. International Journal of Progressive Education, 17(4), 262–281. https://doi.org/10.29329/ijpe.2021.366.16
Lee, J. S., & Ginsburg, H. P. (2009). Early childhood teachers’ misconceptions about mathematics education for young children in the United States. Australian Journal of Early Childhood, 34(4), 37–45. https://doi.org/10.1177/183693910903400406
Lowenthal, B. (1975). Piaget’s Preoperational Stage of Development and Applications for Special Preschoolers. 2–9. https://eric.ed.gov/?id=ED116438
Mantilla, A., & Edwards, S. (2019). Digital technology use by and with young children: A systematic review for the Statement on Young Children and Digital Technologies. Australasian Journal of Early Childhood, 44(2), 182–195. https://doi.org/10.1177/1836939119832744
Ojose, B. (2008). Applying Piaget’s Theory of Cognitive Development to Mathematics Instruction. The Mathematics Educator, 18(1), 26–30. https://files.eric.ed.gov/fulltext/EJ841568.pdf
Piaget, J. (1964). Part I: Cognitive development in children: Piaget development and learning. Journal of Research in Science Teaching, 2(3), 176–186. https://doi.org/10.1002/tea.3660020306
Purpura, D. J., & Lonigan, C. J. (2015). Early Numeracy Assessment: The Development of the Preschool Early Numeracy Scales. Early Education and Development, 26(2), 286–313. https://doi.org/10.1080/10409289.2015.991084
Rabillas, A. R., & Cañete, N. A. (2023). Elementary Math Learning Through Piaget ’ s Cognitive Development Stages. 1(4), 128–142.
Raghubar, K. P., & Barnes, M. A. (2017). Early numeracy skills in preschool-aged children: a review of neurocognitive findings and implications for assessment and intervention. Clinical Neuropsychologist, 31(2), 329–351. https://doi.org/10.1080/13854046.2016.1259387
Ransdell, S., & Hecht, S. (2003). Time and resource limits on working memory: Cross-age consistency in counting span performance. Journal of Experimental Child Psychology, 86(4), 303–313. https://doi.org/10.1016/j.jecp.2003.08.002
Segers, E., Kleemans, T., & Verhoeven, L. (2015). Role of Parent Literacy and Numeracy Expectations and Activities in Predicting Early Numeracy Skills. Mathematical Thinking and Learning, 17(2–3), 219–236. https://doi.org/10.1080/10986065.2015.1016819
Van Luit, J. E. H., & Toll, S. W. M. (2015). Remedial early numeracy education: Can children identified as having a language deficiency benefit? International Journal of Language and Communication Disorders, 50(5), 593–603. https://doi.org/10.1111/1460-6984.12159
Vandermaas‐Peeler, M., Nelson, J., Bumpass, C., & Sassine, B. (2009). Numeracy‐related exchanges in joint storybook reading and play. International Journal of Early Years Education, 17(1), 67–84. https://doi.org/10.1080/09669760802699910
Yu, Z., & Wang, J. (2023). Design Strategies of Outdoor Recreational Spaces for Preoperational Stage Children based on Embodied Cognitive Perspective. Highlights in Art and Design, 3(2), 68–72. https://doi.org/10.54097/hiaad.v3i2.10231
DOI: https://doi.org/10.33365/jm.v7i1.4484
Refbacks
- There are currently no refbacks.

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Articles in Jurnal Mathema are licensed under a Creative Commons Attribution-ShareAlike 4.0 International License