Journal of Research in Science, Mathematics and Technology Education

Year Five Pupils’ Understanding of Relationship Between Addition and Subtraction

Journal of Research in Science, Mathematics and Technology Education, Volume 1, Issue 2, May 2018, pp. 169-180
OPEN ACCESS VIEWS: 922 DOWNLOADS: 648 Publication date: 15 May 2018
ABSTRACT
Conceptual understanding of properties of operations is an important element of algebraic thinking in primary school. Mathematical processes should be focused rather than mathematical products starting from primary school. The purpose of this study was to examine the Year Five pupils' understanding of relationship between addition and subtraction. Researchers utilized quantitative approach to investigate Year Five pupils' conceptual understanding of addition and subtraction. Pencil and paper-based assessment consisting of three items was employed to collect the data. The three items comprised direction of change and relationship between addition and subtraction items. The three items also consist of reasoning sections. This article reports the analysis of the responses of 720 Year Five pupils from a district of Malacca. The findings showed the majority of the sample were unable to perform well for the items testing relationship between addition and subtraction. They could not work with addition and subtraction properties. The majority of them were also unable to provide conceptual reasoning for their answer. Only about half of the sample were aware about the inverse relationship of addition and subtraction.
KEYWORDS
Arithmetic Generalization, Algebraic Thinking, Early Algebra, Properties of Operations
CITATION (APA)
Somasundram, P., Syed Zamri, S. N. A., & Eu, L. K. (2018). Year Five Pupils’ Understanding of Relationship Between Addition and Subtraction. Journal of Research in Science, Mathematics and Technology Education, 1(2), 169-180. https://doi.org/10.31756/jrsmte.123
REFERENCES
  1. Carpenter, T. P., Franke, M. L., & Levi, L. (2003). Thinking mathematically: Integrating arithmetic and algebra in elementary school. Portsmouth, NH: Heinemann.
  2. Carraher, D. W., Schliemann, A. D., Brizuela, B. M., & Earnest, D. (2006). Arithmetic and algebra in early mathematics education. Journal for Research in Mathematics Education, 37(2), 87-115. Retrieved from http://www.jstor.org/stable/30034843
  3. Haldar, L. C. (2014). Students’ understandings of arithmetic generalizations (Doctoral dissertation). Available from Proquest Dissertations and Theses database. (UMI No. 3640454)
  4. Kaput, J. J. (2008). What is algebra? What is algebraic reasoning. In J. J. Kaput, D. W. Carraher, & M. L. Blanton (Eds.), Algebra in the early grades (pp. 5-17). New York, NY: Taylor and Francis.
  5. Mason, J. (2008). Making use of children’s power to produce algebraic thinking. In J. Kaput, D. Carraher, & M. Blanton, Algebra in the early grades (pp. 57-94). New York, NY: Taylor and Francis.
  6. Malara, N., & Navarra, G. (2003). ArAl Project: Arithmetic pathways towards favouring pre-algebraic thinking. Bologna, Italy: Pitagora Editrice.
  7. McNeil, N. M., & Alibali, M. W. (2005). Why won’t you change your mind? Knowledge of operational patterns hinders learning and performance on equations. Child Development, 76(4), 883-899. Retrieved from http://www.jstor.org/stable/3696735
  8. Rittle-Johnson, B., & Alibali, M. W. (1999). Conceptual and procedural understanding: Does one lead to the other? Journal of Educational Psychology, 91(1), 175-189. http://dx.doi.org/10.1037/0022-0663.91.1.175
  9. Slavit, D. (1999). The role of operation sense in transitions from arithmetic to algebraic thought. Educational Studies in Mathematics, 37(3), 251-274. doi: 10.1023/A:1003602322232
  10. Van Amerom, B. A. (2003). Focusing on informal strategies when linking arithmetic to early algebra. Educational Studies in Mathematics, 54(1), 63-75. doi: 10.1023/B:EDUC.0000005237.72281.bf
  11. Warren, E. (2003). The role of arithmetic structure in the transition from arithmetic to algebra. Mathematics Education Research Journal, 15(2), 122-137. doi: 10.1007/BF03217374
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