Use of Virtual Manipulatives in Addition of Fractions Among Year Four Pupils
One of the challenging concepts that many primary school pupils deal with is adding fractions. However, the problem of adding fractions in the classro.
- Pub. date: June 15, 2024
- Pages: 19-29
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One of the challenging concepts that many primary school pupils deal with is adding fractions. However, the problem of adding fractions in the classroom might be resolved by employing virtual manipulatives. This study aimed to compare the use of virtual manipulatives and conventional lecture-based methods in two groups of Year 4 pupils to examine the effects of understanding the addition of fractions. Sixty-four pupils participated in this study. This study occurred throughout a six-week time frame in a primary school in Temerloh, Malaysia. A quasi-experimental non-equivalent pre-post test was implemented to compare the effects of the control and experimental groups. The first finding showed that the experimental group's conceptual understanding of adding fractions was significantly better after using virtual manipulatives during the intervention, t (62) = 11.682, p<0.005. Cohen's D demonstrated the effect size for comparison (d=2.06), showing a significant effect. The second finding revealed that the conceptual understanding of adding fractions was significantly better after the intervention with virtual manipulatives when controlling the pre-test score, F (1, 61) = 9.475, p < .001, η2 = 0.134. This study showed that pupils in the experimental group improved their conceptual understanding of adding fractions.
conceptual understanding of adding fractions fractions quasi experimental virtual manipulative year 4 pupils
Keywords: Conceptual understanding of adding fractions, fractions, quasi-experimental, virtual manipulative, year 4 pupils.
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References
Abdul Ghani, S. N., & Maat, S. M. (2018). Misconception of fraction among middle grade year four pupils at primary school. Research on Education and Psychology, 2(1), 111-125. https://bit.ly/3YEWSOX
Aliustaoğlu, F., Tuna, A., & Biber, A. Ç. (2018). The misconceptions of sixth grade secondary school students on fractions. International Electronic Journal of Elementary Education, 10(5), 591–599. https://doi.org/10.26822/iejee.2018541308
Alshehri, S. (2017). The Comparison of Physical/Virtual Manipulative on Fifth-Grade Students' Understanding of Adding Fractions [Doctoral dissertation, University of Cincinnati]. OhioLINK. https://bit.ly/3WLyjgD
Bouck, E. C., Park, J., Sprick, J., Shurr, J., Bassette, L., & Whorley, A. (2017). Using the virtual-abstract instructional sequence to teach addition of fractions. Research in Developmental Disabilities, 70, 163–174. https://doi.org/10.1016/j.ridd.2017.09.002
Bouck, E. C., Park, J., & Stenzel, K. (2020). Virtual manipulatives as assistive technology to support students with disabilities with mathematics. Preventing School Failure, 64(4), 281–289. https://doi.org/10.1080/1045988x.2020.1762157
Braithwaite, D. W., Pyke, A. A., & Siegler, R. S. (2017). A computational model of fraction arithmetic. Psychological Review, 124(5), 603–625. https://doi.org/10.1037/rev0000072
Deringöl, Y. (2019). Misconceptions of primary school students about the subject of fractions: views of primary teachers and primary pre-service teachers. International Journal of Evaluation and Research in Education, 8(1), 29-38. https://doi.org/10.11591/ijere.v8i1.16290
Fitri, N. L., & Prahmana, R. C. I. (2019). Misconception in fraction for seventh-grade students. Journal of Physics. Conference Series, 1188, Article 012031. https://doi.org/10.1088/1742-6596/1188/1/012031
Fitzsimmons, C. J., Thompson, C. A., & Sidney, P. G. (2020). Confident or familiar? The role of familiarity ratings in adults' confidence judgments when estimating fraction magnitudes. Metacognition and Learning, 15(2), 215–231. https://doi.org/10.1007/s11409-020-09225-9
Furner, J. M., & Worrell, N. L. (2017). The importance of using manipulatives in teaching math today. Transformations, 3(1), Article 2. https://nsuworks.nova.edu/transformations/vol3/iss1/2
Geller, E. H., Son, J. Y., & Stigler, J. W. (2017). Conceptual explanations and understanding fraction comparisons. Learning and Instruction, 52, 122–129. https://doi.org/10.1016/j.learninstruc.2017.05.006
Hakim, L. L., Alghadari, F., & Widodo, S. A. (2019). Virtual manipulatives media in mathematical abstraction. Journal of Physics. Conference Series, 1315, Article 012017. https://doi.org/10.1088/1742-6596/1315/1/012017
Hurst, M. A., & Cordes, S. (2018). Children's understanding of fraction and decimal symbols and the notation-specific relation to pre-algebra ability. Journal of Experimental Child Psychology, 168, 32–48. https://doi.org/10.1016/j.jecp.2017.12.003
Kor, L., Teoh, S., Mohamed, S. S. E. B., & Singh, P. (2019). Learning to Make Sense of Fractions: Some Insights from the Malaysian Primary 4 Pupils. International Electronic Journal of Mathematics Education, 14(1). https://doi.org/10.29333/iejme/3985
Lenz, K., Dreher, A., Holzäpfel, L., & Wittmann, G. (2019). Are conceptual knowledge and procedural knowledge empirically separable? The case of fractions. British Journal of Educational Psychology, 90(3), 809–829. https://doi.org/10.1111/bjep.12333
Malone, A. S., & Fuchs, L. S. (2016). Error patterns in ordering fractions among At-Risk Fourth-Grade students. Journal of Learning Disabilities, 50(3), 337–352. https://doi.org/10.1177/0022219416629647
Massachusetts Comprehensive Assessment System. (2018). MCAS digital item library. https://bit.ly/4dF0RPW
Moyer-Packenham, P., Baker, J., Westenskow, A., Anderson, K., Shumway, J., Rodzon, K., & Jordan, K. (2013). A Study Comparing Virtual Manipulatives with Other Instructional Treatments in Third- and Fourth-Grade Classrooms. Journal of Education, 193(2), 25-39. https://doi.org/10.1177/002205741319300204
National Assessment of Educational Progress. (2009). Sample questions. https://bit.ly/46OuYSY
National Assessment of Educational Progress. (2013). What questions are students able to answer? https://bit.ly/3yE6EX0
Reiten, L. (2018). Promoting student understanding through virtual manipulatives. The Mathematics Teacher, 111(7), 545–548. https://doi.org/10.5951/mathteacher.111.7.0545
Rittle‐Johnson, B. (2017). Developing mathematics knowledge. Child Development Perspectives, 11(3), 184–190. https://doi.org/10.1111/cdep.12229
Schumacher, R. F., & Malone, A. S. (2017). Error patterns with fraction calculations at fourth grade as a function of students' mathematics achievement status. The Elementary School Journal, 118(1), 105–127. https://doi.org/10.1086/692914
Shin, M., Bryant, D. P., Bryant, B. R., McKenna, J. W., Hou, F., & Ok, M. W. (2017). Virtual manipulatives: Tools for teaching mathematics to students with learning disabilities. Intervention in School and Clinic, 52(3), 148–153. https://doi.org/10.1177/1053451216644830
Such, J., & Moyer-Packenham, P. S. (2016). How affordances and constraints of physical and virtual manipulatives support the development of procedural fluency and algorithmic thinking in mathematics. International Journal for Research in Mathematics Education, 6(2), 245-265. https://digitalcommons.usu.edu/teal_facpub/2387/
Tan, K. J., Ismail, Z., & Abidin, M. (2018). A comparative analysis on cognitive domain for the Malaysian Primary Four textbook series. Eurasia Journal of Mathematics Science and Technology Education, 14(4), 1273-1286. https://doi.org/10.29333/ejmste/82625
Trends in International Mathematics and Science Study. (2003). TIMSS 2003 released items. https://timss.bc.edu/timss2003i/released.html
Wilkins, J. L. M., & Norton, A. (2018). Learning progression toward a measurement concept of fractions. International Journal of STEM Education, 5, Article 27. https://doi.org/10.1186/s40594-018-0119-2