Fraction Understanding in Children: Bibliometric Analysis
Abstract
This study used a bibliometric analysis approach to investigate the literature on children’s development of fraction understanding. Fraction understanding is crucial in early mathematics education because it is the foundation for more advanced concepts. Bibliometric analysis gives a comprehensive data-driven assessment of research trends, significant contributors, and emerging themes in this field. The data were sourced from the Scopus journal database, encompassing 228 articles from 1975 to 2023. Analytical and visualization tools, including VOS Viewer and the Bibliometrix R-Package, were utilized to map connections among journals, authors, countries/regions, and keywords. The findings indicated a trend of increasing publication volume over the past 15 years, with a yearly growth in articles on this topic. Keyword analysis revealed that, within these publications, “fraction” was the most frequently encountered term, followed by “mathematics” and “decimals”. Moreover, there has been a shift in research focus from studying the challenges in conceptual understanding of fractions among children to investigating alternative interventions designed to address these challenges. This study is a foundational reference for future research on the progression of fraction understanding in children.
Keywords
DOI: 10.22146/buletinpsikologi.97139
References
Baiduri. (2020). Understanding of fraction concepts of elementary school students through problem solving. Advances in Social Science, Education and Humanities Research, 477(Iccd), 126–129. https://doi.org/10.2991/assehr.k.201017.029
Bailey, D. H., Siegler, R. S., & Geary, D. C. (2014). Early predictors of middle school fraction knowledge. Developmental Science, 17(5), 775–785. https://doi.org/10.1111/desc.12155
Bhattacharyya, S. S., & Verma, S. (2020). The intellectual contours of corporate social responsibility literature. International Journal of Sociology and Social Policy, 40(11/12), 1551–1583. https://doi.org/10.1108/IJSSP-12-2019-0263
Braithwaite, D. W., Leib, E. R., Siegler, R. S., & McMullen, J. (2019). Individual differences in fraction arithmetic learning. Cognitive Psychology, 112, 81–98. https://doi.org/10.1016/j.cogpsych.2019.04.002
Donthu, N., Kumar, S., Mukherjee, D., Pandey, N., & Marc, W. (2021). How to conduct a bibliometric analysis: An overview and guidelines. Journal of Business Research, 133, 285–296. https://doi.org/10.1016/j.jbusres.2021.04.070
Fitri, N. L., & Prahmana, R. C. I. (2019). Misconception of fraction for seventh-grade students. Journal of Physics: Conference Series. https://doi.org/10.1088/1742-6596/1188/1/012031
Halberda, J., Mazzocco, M. M. M., & Feigenson, L. (2008). Individual differences in non-verbal number acuity correlate with maths achievement. Nature, 455(7213), 665–668. https://doi.org/10.1038/nature07246
Hansen, N., Jordan, N. C., Fernandez, E., Siegler, R. S., Fuchs, L., Gersten, R., & Micklos, D. (2015). General and math-specific predictors of sixth-graders’ knowledge of fractions. Cognitive Development, 35, 34–49. https://doi.org/10.1016/j.cogdev.2015.02.001
Kadar, K., Kodirun, Cahyono, E., Hadi, A. L., Sani, A., & Jafar. (2020). The ability of prospective teachers to pose contextual word problem about fractions addition. Journal of Physics: Conference Series. https://doi.org/10.1088/1742-6596/1581/1/012025
Lewis, M. R., Matthews, P. G., & Hubbard, E. M. (2015). Neurocognitive architectures and the nonsymbolic foundations of fractions understanding. In D. B. Berch, D. C. Geary, & K. M. Koepke (Eds.), Development of mathematical cognition: Neural substrates and genetic influences (Vol. 1, Issue 2, pp. 157–170). https://doi.org/10.1016/S0885-2014(86)80017-X
McMullen, J., Hannula-Sormunen, M. M., Lehtinen, E., & Siegler, R. S. (2022). Predicting adaptive expertise with rational number arithmetic. British Journal of Educational Psychology, 92, 688–706. https://doi.org/10.1111/bjep.12471
Schiller, L. K., Fan, A., & Siegler, R. S. (2022). The power of one: The importance of flexible understanding of an identity element. Journal of Numerical Cognition, 8(3), 430–442. https://doi.org/10.5964/jnc.7593
Seethaler, P. M., Fuchs, L. S., Star, J. R., & Bryant, J. (2011). The cognitive predictors of computational skill with whole versus rational numbers: An exploratory study. Learning and Individual Differences, 21(5), 536–542. https://doi.org/10.1016/j.lindif.2011.05.002
Sidney, P. G., Thompson, C. A., & Opfer, J. E. (2019). Development of fraction understanding. In J. Dunlosky & K. A. Rawson (Eds.), The Cambridge handbook of cognition and education (pp. 148–182). Cambridge University Press. https://doi.org/10.1017/9781108235631.008
Siegler, R. S., & Lortie-Forgues, H. (2015). Conceptual knowledge of fraction arithmetic. Journal of Educational Psychology, 107(3), 909–918. https://doi.org/10.1037/edu0000025
Siegler, R. S., & Pyke, A. A. (2013). Developmental and individual differences in understanding of fractions. Developmental Psychology, 49(10), 1994–2004. https://doi.org/10.1037/a0031200
Siegler, R. S., Thompson, C. A., & Schneider, M. (2011). An integrated theory of whole number and fractions development. Cognitive Psychology, 62(4), 273–296. https://doi.org/10.1016/j.cogpsych.2011.03.001
Spitzer, M. W. H., & Moeller, K. (2021). Predicting fraction and algebra achievements online: A large-scale longitudinal study using data from an online learning environment. Journal of Computer Assisted Learning, 38, 1797–1806.
Spitzer, M. W. H., Ruiz-Garcia, M., Strittmatter, Y., Richter, E., Gutsfeld, R., & Moeller, K. (2024). Achievements in arithmetic and measurement units predict fraction understanding in an additive and linear manner. Cognitive Development, 72(November), 101517. https://doi.org/10.1016/j.cogdev.2024.101517
Stafylidou, S., & Stella, V. (2004). The development of students’ understanding of the numerical value of fractions. Learning and Instruction, 14, 503–518. https://doi.org/10.1016/j.learninstruc.2004.06.015
Stelzer, F., Vernucci, S., & Aydmune, Y. (2023). Longitudinal relationship with general cognitive skills and prior mathematics knowledge. European Journal of Psychology of Education. Advance online publication. https://doi.org/10.1007/s10212-023-00700-w
Tian, J., & Siegler, R. S. (2017). Fractions learning in children with mathematics difficulties. Journal of Learning Disabilities, 50(6), 614–620. https://doi.org/10.1177/0022219416662032
Watts, T. W., Duncan, G. J., Siegler, R. S., & Davis-Kean, P. E. (2014). What’s past is prologue: Relations between early mathematics knowledge and high school achievement. Educational Researcher, 43(7), 352–360. https://doi.org/10.3102/0013189X14553660
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