Enhancing students’ understanding of linear equation with one variable through teaching

Solomon Melesse Mengistie(1Mail),
(1) Bahir Dar University, Ethiopia

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Copyright (c) 2020 Solomon Melesse Mengistie

DOI : https://doi.org/10.33122/ijtmer.v3i2.148

Full Text:  
Pages: 69-80
Language : en


The objective of this study is to enhance students’ understanding of solving linear equation with one variable through teaching using balancing model. To achieve this research objective, design-based research approach was chosen. The target population of the study was grade five students and their mathematics teacher. From this population, the participants of the study were grade five section A students and their respective mathematics teacher who were selected using simple random sampling and comprehensive sampling techniques, respectively. The data were collected through observation, teacher made tests and interview. The test results were analyzed using paired samples t-test and percentage, and the interview and classroom observation data were analyzed through thematic description. Findings showed that most students performed better in the post-test as compared to the pre-test, and most students came to use more flexible strategies to solve linear equation after a series of learning attempts made using balancing model. Moreover, the students and their mathematics teacher showed positive attitude towards learning linear equation through balancing model. On the basis of these findings, the researchers have forwarded relevant recommendations in the paper.


Balancing Model; Linear Equation; Conceptual Understanding;


Anthony, G., & Walshaw, M. (2014). Characteristics of Effective Teaching of Mathematics : A View from the West. Journal of Mathematics Education, 11, 148–164.

Atteh, E., Andam, E. A., & Amoako, J. (2017). The Impact of Using Balance Model in Teaching Linear Equation. International Journal Article, 11(3), 1–12. Retrieved from https://doi.org/10.9734/ACRI/2017/35310.

Bal, A. (2016). The Effect of the Differentiated Teaching Approach in the Algebraic Learning Field on Students' Academic Achievements. Research on Mathematics Education (63), 185 - 204.

Brizuela, B., & Schliemann, A. (2004). Ten - years old Students Solving Linear Equations. For the Learning of Mathematics, 24 (2), pp. 33 - 40.

Cai, J. &. Moyer, P. (2008). Developing Algebraic Thinking in Earlier Grades:. In C. E. Greene, Algebra and Algebraic Thinking in School Mathematics. (pp. 169 - 179). National Council of Teachers of Mathematics.

Caglayan, G., &. Olive, J. (2010). Eighth Grade Students Representations of Linear Equations on Cups and Tiles Model. Educational Studies in Mathematics, 74, 143 - 162.Retrieved from: https//doi:10.1007/s10649-010-9231.

Eichhorn, M., Perry, L., & Brombacher, A. (2018). Students ’ Early Grade Understanding of the Equal Sign and Non-standard Equations in Jordan and India. International Journal of Research in Education and Science, 4(2), 656- 669. Retrieved from: https://doi.org/10.21890/ijres.432520.

Ernest, P. (1994). Social Constructivism and the Psychology of Mathematics Education. In P. Ernest (Ed), Constructing Mathematical Knowledge: Epistemology and Mathematics Education (pp. 68 -77).

Herscovics, N. &. Linchevski, L. (1994). A Cognitive gap between Arithmetic and Algebra:. Educational Studies in Mathematics, 27, 59 - 78.

Hopkins, C. (2012). Education for Sustainable Development. Journal of Education Sustainable Development , 6, 1 - 4.

Jaworski, B. (2006). Theory and practice in mathematics teaching development: Critical inquiry as a mode of learning in teaching. Journal of Mathematics Teacher Education, 9, 187 - 211.

Johnson, K. (1993) Manipulative allow everyone to learn mathematics. Contemporary Education, 65, 10–11.

Kieran, C. (2003). The Twentieth-century Emergence of the Canadian Mathematics Education Research Community. In G. S. Kilpatrick (Eds.), A History of School Mathematics (pp. 1701 - 1778). National Council of Teachers of Mathematics.

Kilpatrick, J. &. Izsak, A. (2008). History of Algebra in the School Curriculum. In C. E. Greene (Ed.), Algebra and Algebraic Thinking in School Mathematics (pp. 3 - 18). National Council of Teachers of Mathematics.

Mahmood, A., Fauzi, M., & Mohammad, Y. (2012). A Conceptual Framework for Mathematical Ability Analysis through the Lens of Cultural Neuroscience: 56, pp. 175 - 182. Retrieved From: https// doi.org/ 10.1016/ j. sbspro.2012.09.644.

Ministry of Education (2003). A National Curriculum Guideline for Pre-Service Teacher- Education Programs. Addis Abeba: Ministry of Education.

Polly, D. (2011). Technology to Develop Algebraic Reasoning. Teaching Children Mathematics, 17, 472 - 478.

Vlassis, J. (2002). The Balanced Model: support for solving of linear equation with one variable. Educational Studies in Mathematics, 49, 341 - 359.

Von Glasersfeld, E. (1990). An Exposition of Constructivism: Why some like it Radical. Journal for Research in Mathematics Education, 4, 19 - 29.

Warren, E., & Cooper, T. (2005). Young Children ’ s Ability to Use the Balance Strategy to Solve for Unknowns. Mathematics Education Research Jornal, 17(1), 58–72.

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