Some Common Algebraic Misconceptions


  • Nonttakorn Prachumkayohmat
  • Rosnee Chariyamakarn
  • Chittima Manakarn
  • Yupawan Srisawat
  • Sureeluk Ma


Misconceptions in Algebra, Mathematics, Algebra


This article aims to examine the significance of learning algebra as a critical topic in mathematics education. Recognizing the importance of learning algebra is crucial for educators to address common misconceptions that hinder students' mathematical progress. Drawing on existing literature, it categorizes these misconceptions into five main categories: 1) variables;  2) algebraic expressions; 3) linear equations; 4) polynomials, exponents, and radical expressions; and 5) functions and graphs. Additionally, the article identifies the challenges of misconceptions that student encounter while learning algebra. It proposes expanding research in this field to develop effective teaching strategies that can address the common misconceptions in algebra that are often encountered in the classroom: that educators can enhance students' mathematical proficiency and promote an effective learning experience in algebra.


Barcellos, A. (2005). Mathematical Misconceptions of College-Age Algebra Students. (Doctor of Philosophy). University of California, USA.

Booth, J. L., Barbieri, C., Eyer, F., & Blagoev, J. P. (2014). Persistent and Pernicious Misconceptions in Algebraic Problem Solving. Journal of Problem solving, 7(1), 10-23.

Cai, Jinfa. (2004). Developing Algebraic Thinking in the Earlier Grades from an International Perspective. The Mathematics Educator, 8(1), 1-5.

Cai, J., & Knuth, E. (2005). The Development of Students’ Algebraic Thinking in earlier Grades from Curricular, Instructional, and Learning Perspectives. International Review on Mathematics Education, 24, 1-4.

Cambell, A. (2009). Remediation of First-Year Mathematics Students’ Algebra Difficulties. (Doctoral Dissertation). University of KwaZulu-Natal, South Africa.

Cansiz, S., Kucuk, B. & Isleyen, T. (2011). Identifying the Seconday School Students’ Misconceptions about Functions, Procedia Social and Behavioral Sciences, Turkey, 15, 3837-3842.

Cathcart, W. G., Pothier, Y. M., Vance, J. H., & Bezuk, N. S. (2003). Learning Mathematics in Elementary and Middle Schools. (3rd ed.). Englewood Cliffs, N.J.: Merrill/Prentice Hall.

Chaudhary, N. (2022). Students’ Errors in Learning Alegebra at Basic Level. (Master’s Thesis). Tribhuvan University, Nepal.

Chazan, D. & Yerushalmy, M. (2003). On Appreciating the Cognitive Complexity of School Algebra: Research on Algebra Learning and Directions of Curricular Change. In J. Kilpatrick, W. G. Martin, & D. Shifter (Eds.), A Research Companion to Principles and Standards for School Mathematics (pp. 123-135). Reston, VA: The National Council of Teachers of Mathematics.

Chrismas, T. P. & Fey, T. J. (1999). Communicating the Importance of Algebra to Students. In B. Moses (Ed.), Algebraic Thinking Grades K-12: Reading from NCTM’s School-Based Journals and Other Publications (pp. 5-13). Reston, VA: The National Council of Teachers of Mathematics.

Cobb, P., Wood, T., Yackel, E., Nicholls, J., Wheatley, G., Trigatti, B., & Perlwitz, M. (1991). Assesment of a Problem-Centered Second-Grade Mathematics Project. Journal for Research in Mathematics Education, 22, 3-29.

Demby, A. (1997). Algebraic Procedures used by 13-to-15-Year-Olds. Educational Studies in Mathematics, 33, 45-70.

Egodawatte, G. (2011). Secondary School Students Misconception in Algebra. (Doctoral Dissertation). University of Toronto, Canada.

Greenes, C., & Findell, C. (1999). Developing Students’ Algebraic Reasoing Abilities. In L.V. Stiff & F. R. Curcio (Eds.), Developing Mathematical Reasoning in Grades K-12 (pp. 127-137). Reston, VA: The National Council of Teachers of Mathematics.

Johnston, C. L., Willis, A. T., & Hughes, G. M. (1995). Developmental Mathematics (4th ed.). Boston: PWS Publishing.

Lew, H. C. (2004). Developing Algebraic Thinking in Early Grades: Case Study of Korean Elementary School Mathematics. The Mathematics Educator, 8(1), 1-5.

Li, X. (2006). Cognitive Analysis of Students’ Errors and Misconceptions in Variables, Equations, and Functions. (Doctoral Thesis). Texas A&M University, USA.

Liebenberg, R., Linchevski, L., Olivier, A., & Sasman, M. (1998). Laying the Foundation for Algebra: Developing an Understanding of Structure. Paper presented at the 4th Annual Congress of the Association for Mathematics Education of South Africa (AMESA), Pietersburg.

Mulungye, M. M. (2016). Sources of Students’ Errors and Misconceptions in Algebra and Influence of Classroom Practice Remediation in Secondary Schools Machakos Sub-Country, Kenya. (Master’s Thesis). Kenyatta University, Kenya.

Mulungye, M. M., O’Connor M., & Ndethiu S. (2016). Sources of Student Errors and Misconceptions in Algebra and Effectiveness of Classroom Practice Remediation in Machakos Country-Kenya. Journal of Education and Practice, 7(10), 31-33.

National Council of Teachers of Mathematics (NCTM). (2000). Principles and Standards for School Mathematics. Reston, VA: Author.

Öçal, M. F. (2016). Asymptote Misconception on Graphing Functions: Does Graphing Software Resolve It? Malaysian Online Journal of Educational Technology, 5, 21-33.

Ojose, B. (2015). Students’ Misconceptions in Mathematics: Analysis of Remedies and What Research Says. Ohio Journal of School Mathematics, Fall 2015, Vol. 72.

Osten, N. & Zakaria, N. (2018). Secondary School Students’ Errors and Misconceptions in Learning Algebra. Journal of Education and Learning (edulearn), 12(4), 690-701.

Stacey, K. & MacGregor, M. (1997). Ideas about Symbolism that Students Bring to Algebra. The Mathematics Teacher. 90(2), 110-113.

Titus, F. (2010). A Cognitive Analysis of Developmental Mathematics Students’ Errors and Misconceptions in Real Number Computations and Evaluating Algebraic Expressions. (Doctoral Dissertation). University of Houston, Texas.

Toka, Y., & Aşkar, P. (2002). The Effect of Cognitive Conflict and Conceptual Change Text on Students’ Achievement Related to First Degree Equations with One Unknown. Hacettepe Universitesi Egitim Fakultesi Dergisi-hacettepe University Journal of Education, 23.

Usiskin, Z. (1999). Doing Algebra in Grades K-4. In B. Moses (Ed.), Algebraic Thinking Grades K-12: Reading from NCTM’s School-Based Journals and Other Publications (pp. 5-13). Reston, VA: The National Council of Teachers of Mathematics.




How to Cite

Prachumkayohmat, N., Chariyamakarn, R., Manakarn, C., Srisawat, Y., & Ma, S. (2024). Some Common Algebraic Misconceptions. Pridiyathorn Science Journal, 2(2), 71–82. Retrieved from



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