Enhancing Single-Digit Addition Skills in Remedial Pupils using Laurnal’s Frame: A Case Study
DOI:
https://doi.org/10.37134/saecj.vol14.2.10.2025Keywords:
Laurnal’ frame, single-digit addition, remedial education, visual learning tool, Bruner's modes of representation, early arithmetic skillsAbstract
This research introduces "Laurnal’s frame," a novel visual tool designed to improve remedial pupils' understanding of single-digit addition. Rooted in Bruner’s enactive, iconic, and symbolic modes of representation, Laurnal’s frame comprises a rectangular frame divided into ten sections representing numbers 1 through 10, with blocks for hands-on, enactive learning. The study involved one remedial teacher and four remedial pupils, aged 8, who used Laurnal’s frame over a period of four weeks for addition instruction. The researchers employed a qualitative case analysis study design, and a purposive sampling method was used to obtain a sample of four remedial pupils and one remedial teacher. Data were gathered in in-depth interview, direct observations, and analysis of documents such as worksheets and journal entries were performed to gain a comprehensive picture of remedial pupils making sense of number patterns. Results indicated significant gains in addition skills, with pupils showing enhanced comprehension of number bonds through both iconic visualization and symbolic understanding. The structured design of Laurnal’s frame promoted interactive learning, increased enthusiasm, and fostered a positive attitude towards mathematics. The findings suggest that integrating Laurnal’s frame into early math curricula can potential useful bolster foundational arithmetic skills and create a supportive learning environment.
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Ahdhianto, E., Marsigit, M., Haryanto, H., & Nurfauzi, Y. (2020). Improving fifth-grade pupils' mathematical problem-solving and critical thinking skills using problem-based learning. Universal Journal of Educational Research, 8(5), 2012-2021.https://doi.org/10.13189/ujer.2020.080539
Bartolini, M. G., & Martignone, F. (2020). Manipulatives in mathematics education. Encyclopedia of Mathematics Education, 487-494. https://doi.org/10.1007/978-3-030-15789-0_93
Bruner, J. S. (1966). Toward a Theory of Instruction. Harvard University Press.
Bryant, D. P., Pfannenstiel, K. H., Bryant, B. R., Roberts, G., Fall, A. M., Nozari, M., & Lee, J. (2021). Improving the mathematics performance of second-grade pupils with mathematics difculties through an early numeracy intervention. Behavior Modifcation, 45(1), 99–121. https://doi.org/10.1177/0145445519873651
Carpenter, T. & Moser, J. (1984). The acquisition of addition and subtraction concepts in grades
Clarke, V., & Braun, V. (2013). Teaching thematic analysis: Overcoming challenges and developing strategies for effective learning. The Psychologists, 62 (2), 120–123.http://eprints.uwe.ac.uk/21155/3/Teaching%20thematic%20analysis%20Research%20Repository%20version.pdf
Clerkin, A., & Gilligan, K. (2018). Pre-school numeracy play as a predictor of children’s attitudes towards mathematics at age 10. Journal of Early Childhood Research, 16(3), 319–334. https://doi.org/10.1177/1476718X18762238
Clerkin, A., & Gilligan, K. (2018). Pre-school numeracy play as a predictor of children’s attitudes towards mathematics at age 10. Journal of Early Childhood Research, 16(3), 319-334. https://doi.org/10.1177/1476718X18762238
Darling-Hammond, L., Flook, L., Cook-Harvey, C., Barron, B., & Osher, D. (2020). Implications for educational practice of the science of learning and development. Applied Developmental Science, 24(2), 97–140. https://doi.org/10.1080/10888691.2018.1537791
Darling-Hammond, L., Flook, L., Cook-Harvey, C., Barron, B., & Osher, D. (2019). Implications for educational practice of the science of learning and development. Applied Developmental Science, 24(2), 97-140. https://doi.org/10.1080/10888691.2018.1537791
Fatwana, H., Dasari, D., & Juandi, D. (2023). The use of learning aids for dyscalculia: Systematic literature review. AL-ISHLAH: Jurnal Pendidikan, 15(1), 639-652. https://doi.org/10.35445/alishlah.v15i1.2633
Fuson, K. C. (1992). Research on learning and teaching addition and subtraction of whole numbers. In G. Leinhardt, R. T. Putnam, & R. A. Hattrup (Eds.), Analysis of arithmetic for mathematics teaching (pp. 53–187). Lawrence Erlbaum Associates, Inc.
Fuson, K. C., & Briars, D. J. (1990). Using a base-ten blocks learning/teaching approach for first- and second-grade place-value and multidigit addition and subtraction. Journal for Research in Mathematics Education, 21(3), 180–206. https://doi.org/10.2307/749373
Haylock, D., & Manning, R. (2019). Mathematics explained for primary teachers. SAGE.
Hinton, V., Flores, M., & Woods-Groves, S. (2024). The concrete-representational-Abstract integrated sequence as supplemental instruction to teach addition. Journal of Education for Students Placed at Risk (JESPAR), 1-19.https://doi.org/10.1080/10824669.2024.2321458
Jones, J. P., & Tiller, M. (2017). Using Concrete Manipulatives in Mathematical Instruction. Dimensions of Early Childhood, 45(1), 18–23.
Kwon, H., & Capraro, M. M. (2021). Nurturing problem posing in young children: Using multiple representation within students’ real-world interest. International Electronic Journal of Mathematics Education, 16(3), em0648. https://doi.org/10.29333/iejme/11066
Laux, K. (2022). An upper elementary teacher learns about making ten in first grade: Making a new ten, first grade (6-and 7-year-old) pupils. In Educators' Learning from Lesson Study (pp. 107-117). Routledge.
O’Leary, Z. (2014). The essential guide to doing your research project (2nd ed.). SAGE Publications one through three. Journal for Research in Mathematics Education, 15(3), 179–202. doi:10.2307/ 748348
Ozdem-Yilmaz, Y., Bilican, K. (2020). Discovery Learning—Jerome Bruner. In: Akpan, B., Kennedy, T.J. (eds) Science Education in Theory and Practice. Springer Texts in Education. Springer, Cham. https://doi.org/10.1007/978-3-030-43620-9_13
Raghubar, K. P., & Barnes, M. A. (2017). Early numeracy skills in preschool-aged children: a review of neurocognitive fndings and implications for assessment and intervention. The Clinical Neuropsychologist, 31(2), 329–351. https://doi.org/10.1080/13854046.2016.1259387
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. The Clinical neuropsychologist, 31(2), 329–351.https://doi.org/10.1080/13854046.2016.1259387
Sarama, J., & Clements, D. H. (2009). Early childhood mathematics education research: Learning trajectories for young children. Routledge.
Sunde, P. B., De Smedt, B., Verschaffel, L., & Sunde, P. (2023). Grade one single-digit addition strategies as predictors of grade four achievement in mathematics. European Journal of Psychology of Education. https://doi.org/10.1007/s10212-023-00761-x
Yin, R. K. (2018). Case study research: design and methods (6th ed.). Sage Publication.
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