MOVE IT TO LEARN IT: Enhancing Multiplication Skills of Grade 3 Pupils Using Manipulatives
Leizl L. Abrahan | Lovely Mae G. Apostol | Mary Lovely Suzzeth P. Mendez
Discipline: Education
Abstract:
Multiplication is a necessary skill that is needed to be learned yet, researchers found out that learners performance in this field is declining. With this, our research paper focuses on enhancing multiplication skills of Grade three pupils using manipulatives at San Rafael Integrated School. The respondents were subdivided into two groups, the experimental and the control group, which both comprises of 30 Grade three pupils. The instrument for collecting the data was through researcher’s made pre-test and post-test questionnnaires. Results proved that before the utilization of manipulatives, both control and experimental group have not met the expected level of performance which posted 63.74 and 63.34 grade percentage respectively. However, after the implementation of the intervention, the results posted a grade percentage of 76.14 for control group and 97.26 for the experimental which indicates an improvement in the multiplication skills of the Grade three learners most especially for the experimental group for the outstanding grade percentage. Overall, the results showed that using manipulatives such as square tiles and counters is effective in enhancing the multiplication skills of Grade three learners. Hence, the use of manipulatives in enhancing multiplication skills is recommended for a successful teaching and learning process.
References:
- Acharya, B. B. (2017). Factors Affecting Difficulties in Learning Mathematics by Mathematics Learners. International Journal of Elementary Education, 6, 8-15. doi: 10.11648/j.ijeedu.20170602.11
- Aguhayon, H., Tingson, R., & Pentang, J. (2023). Addressing students learning gaps in mathematics through differentiated instruction. International Journal of Educational Management and Development Studies, 4(1), 69-87. https://doi.org/10.53378/352967
- Ahmad, S. (2024). Effect of an Instructional Model “Utilizing Hands-on Learning Concrete and Virtual Manipulatives” on Fifth-Grade Students’ Academic Achievement in Mathematics (Doctoral dissertation, Universität Würzburg).
- Alloway, T. P., & Copello, E. (2013). Working memory: The what, the why, and the how. The Australian Educational and Developmental Psychologist, 30(2), 105–118. doi:10.10172013.13
- Alsaleh, N. J. (2020). Teaching Critical Thinking Skills: Literature Review. Turkish Online Journal of Educational Technology-TOJET, 19(1), 21-39. doi:10.1002/3640170209
- Ariyanti, G., & Santoso, F. (2020). The effects of online mathematics learning in the COVID-19 pandemic period: A case study of senior high school students at Madiun City, Indonesia. Mathematics Teaching Research Journal, 12(3), 4-11. doi:10.1088/1742-6596/1663/1/012037
- Assem, H. D., Nartey, L., Appiah, E., & Aidoo, J. K. (2023). A review of students’ academic performance in physics: Attitude, instructional methods, misconceptions and teachers’ qualification. European Journal of Education and Pedagogy, 4(1), 84-92.
- Bahadir, E. (2017). Teaching Multiplication and Multiplication Tables by the Application of Finger Multiplication. European Journal of Education Studies. ISSN 2501-1111. doi:10.4324/9780203464359-21
- Butcher, K. K. (2023). A Case Study Examining the Experiences of Middle School Teachers Who Use Manipulatives to Foster the Self-Efficacy of Students with Math Difficulties.
- Butterworth, G. (2022). Thought and things: Piaget’s theory. In Thinking in perspective (pp. 65-89). Routledge. doi:10.4324/9781003349679-4
- Button, L. (2021). 21st-Century Teachers and Learners – Meeting the Needs of All Learners. Curriculum Essentials: A Journey. doi:10.4018/978-1-5225-3173-9
- Byrne, E. M., Jensen, H., Thomsen, B. S., & Ramchandani, P. G. (2023). Educational interventions involving physical manipulatives for improving children’s learning and development: A scoping review. Review of Education, 11(2). doi:10.1002/3.3400
- Carbonneau, K. J., Marley, S. C., & Selig, J. P. (2013). A meta-analysis of the efficacy of teaching mathematics with concrete manipulatives. Journal of Educational Psychology, 105(2), 380–400. doi:10.1037/0031084
- Cardino, J., & Dela Cruz, R. (2020). Understanding of learning styles and teaching strategies towards improving the teaching and learning of mathematics. doi:10.31129/8.1.1348
- Clements, D. H., & Sarama, J. (2016). Math, science, and technology in the early grades. The Future of Children, 75-94. doi:10.1353/2016.0013
- Cui, Y., Zhang, D., & Leung, F. K. (2023). The influence of parental educational involvement in early childhood on 4th grade students’ mathematics achievement. In Developing Culturally and Developmentally Appropriate Early STEM Learning Experiences (pp. 113-133). Routledge.
- De Santana, A. N., Roazzi, A., & Nobre, A. P. M. C. (2022). The relationship between cognitive flexibility and mathematical performance in children: A meta-analysis. Trends in Neuroscience and Education, 28, 100179.
- Drljević, N., Botički, I., & Wong, L.-H. (2022). Investigating the different facets of student engagement during augmented reality use in primary school. British Journal of Educational Technology: Journal of the Council for Educational Technology, 53(5), 1361–1388. doi:10.1111/13197
- Dumagat, C. R., Dones, N. C., & Susada, B. L. (2024). Integrating Japanese Line Method: A tool for multiplication in third grade in the context of Philippine curriculum. Davao Research Journal, 15(4), 46-58. https://doi.org/10.59120/drj.v15i4.271
- Fuson, K. C. (2020). Research on learning and teaching addition and subtraction of whole numbers. In Analysis of arithmetic for mathematics teaching (pp. 53-187). Routledge.
- Ghazi, N. G., Abboud, E. B., Nowilaty, S. R., Alkuraya, H., Alhommadi, A., Cai, H., & Alkuraya, F. S. (2016). Treatment of retinitis pigmentosa due to MERTK mutations by ocular subretinal injection of adeno-associated virus gene vector: results of a phase I trial. Human Genetics, 135, 327-343. doi:10.1007/00439-016-1637
- Goldin, G. A. (2020). Mathematical representations. Encyclopedia of Mathematics Education, 566-572.
- Ignacio, L. B., Cristobal, A. G. A., & David, P. C. (2022). Impact of policy implementation on education quality: A case study on Philippines’ low ranking in international and local assessment programs. Asian Journal on Perspectives in Education, 3, 41-54.
- Kling, G. (2023). Using Visual Imagery to Develop Multiplication Fact Strategies. Western Michigan University.
- Larbi, E., & Mavis, O. (2016). The use of manipulatives in mathematics education. Journal of Education and Practice, 7(36), 53–61. doi:10.7468/2016.19.1.61
- Larsson, K. (2016). Students’ understandings of multiplication (Doctoral dissertation, Department of Mathematics and Science Education, Stockholm University).
- Laski, E. V., Ermakova, A., Vasilyeva, M., & Halloran, K. (2023). Effects of using one or more manipulatives on strategy mastery and generalization. The Journal of Experimental Education, 91(2), 230-248.
- Lee, U., Jung, H., Jeon, Y., Sohn, Y., Hwang, W., Moon, J., & Kim, H. (2024). Few-shot is enough: exploring ChatGPT prompt engineering method for automatic question generation in English education. Education and Information Technologies, 29(9), 11483-11515.
- Lortie-Forgues, H., Tian, J., & Siegler, R. S. (2015). Why is learning fraction and decimal arithmetic so difficult? Developmental Review, 38, 201-221. doi:10.1016/2015.07.008
- Lugosi, E., & Uribe, G. (2022). Active learning strategies with positive effects on students’ achievements in undergraduate mathematics education. International Journal of Mathematical Education in Science and Technology, 53(2), 403-424.
- Mabena, N., Mokgosi, P. N., & Ramapela, S. S. (2021). Factors contributing to poor learner performance in mathematics: A case of selected schools in Mpumalanga province, South Africa. Problems of Education in the 21st Century, 79(3), 451.
- McLeod, S. (2024). The Concrete Operational Stage of Cognitive Development. Simply Psychology.
- Mitchell, D., & Sutherland, D. (2020). What really works in special and inclusive education: Using evidence-based teaching strategies. Routledge. doi:10.4324/9780429401923
- Moreno, C. J. F., & Susada, B. L. (2024). Utilizing the lattice method to enhance multiplication automaticity in Grade 4 Pupils. Davao Research Journal, 15(3), 122-132. https://doi.org/10.59120/drj.v15i3.258
- Mullis, I., Martin, M., Foy, P., Kelly, D., & Fishbein, B. (2019). TIMSS 2019 international results in mathematics and science (TIMSS and PIRLS International Study Center, Lynch School of Education and Human Development, Boston College and International Association for the Evaluation of Educational Achievement). [IEA] Report No. 9).doi: 10.1007/978-3-030-85802-5_1
- Newman-Naami, F. E. L. I. C. I. A. (2023). Factors contributing to poor academic performance in mathematics among Junior High School pupils in the Hohoe Municipality, Ghana (Doctoral dissertation, University of Education, Winneba).
- Oliveira, G., Grenha Teixeira, J., Torres, A., & Morais, C. (2021). An exploratory study on the emergency remote education experience of higher education students and teachers during the COVID-19 pandemic. British Journal of Educational Technology, 52(4), 1357-1376.
- Paas, F., Van Gog, T., & Pouw, W. T. J. L. (2014). An embedded and embodied cognition review of instructional manipulatives. Educational Psychology Review, 26(1), 51–72. doi:10.1007/10648-014-9255-5
- Piaget, J. (1976). Piaget’s theory. doi:10.1007/978-3-642-46323-5_2
- Rahayuningsih, S., Sirajuddin, S., & Nasrun, N. (2020). Cognitive flexibility: Exploring students’ problem-solving in elementary school mathematics learning. JRAMathEdu Journal of Research and Advances in Mathematics Education, 6(1), 59–70. doi:10.23917/6111630
- Resnick, L. B. (2020). From protoquantities to operators: Building mathematical competence on a foundation of everyday knowledge. In Analysis of arithmetic for mathematics teaching (pp. 373-429). Routledge.
- Rotem, A., & Henik, A. (2020). Multiplication facts and number sense in children with mathematics learning disabilities and typical achievers. Cognitive Development, 54, 100866.
- Saracho, O. N. (2023). Theories of child development and their impact on early childhood education and care. Early Childhood Education Journal, 51(1), 15-30.
- Sarama, J., & Clements, D. H. (2016). Physical and virtual manipulatives: What is “concrete”? In International Perspectives on Teaching and Learning Mathematics with Virtual Manipulatives (pp. 71–93). Springer International Publishing. doi:10.1007/978-3-319-32718-1_4
- Sealander, K. A., Johnson, G. R., Lockwood, A. B., & Medina, C. M. (2012). Concrete-semiconcrete-abstract (CSA) instruction: A decision rule for improving instructional efficacy. Assessment for Effective Intervention. doi:10.1177/1534508412453164
- Smith, C., & Morgan, C. (2016). Curricular orientations to real-world contexts in mathematics. The Curriculum Journal, 27(1), 24–45. doi:10.1080/09585176.2016.1139498
- Song, C., Shin, S. Y., & Shin, K. S. (2023). Optimizing foreign language learning in virtual reality: A comprehensive theoretical framework based on constructivism and cognitive load theory (VR-CCL). Applied Sciences, 13(23), 12557.
- Sönmez, N., & Alptekin, S. (2020). Teaching a student with poor performance in mathematics to recall multiplication facts using simultaneous prompting with systematic review and corrective feedback. World Journal of Education, 10(3), 33-46. doi:10.5430/10333
- Sooknanan, J., & Seemungal, T. (2023). Mathematics education in the time of COVID-19: A public health emergency exacerbated by misinterpretation of data. Teaching Mathematics and its Applications: An International Journal of the IMA, hrac025. doi:10.1093/025
- Ugwuegbulem, L. N. (2018). Exploring parental involvement in public secondary schools in Imo State, Nigeria: The role of socioeconomic status. Seton Hall University. doi:10.15415/2017.51005
- Velez, A. J. B., Dayaganon, D. G. F., Robigid, J. C., Demorito, J. D., Villegas, J. P., & Gomez, D. O. (2023). Difficulties and coping strategies in understanding mathematical concepts in a private higher education in Tagum City, Davao Del Norte, Philippines. Davao Research Journal (DRJ), 14(1), 45-54. https://doi.org/10.59120/drj.v14i1.10
- Zhang, H. (2023). Out-of-school Art Curriculum Design based on Piaget’s Cognitive Theory. Journal of Education and Educational Research, 3(1), 156-159.
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