Eurasia Journal of Mathematics, Science and Technology Education

Declaration of Conflict of Interest: No conflict of interest is declared by author(s).

Data sharing statement: Data supporting the findings and conclusions are available upon request from the corresponding author(s).

• Baroody, A. J., & Dowker, A. (Eds.). (2003). The development of arithmetic concepts and skills: Constructing adaptive expertise. Lawrence Erlbaum. https://doi.org/10.4324/9781410607218
• Baroody, A. J., Feil, Y., & Johnson, A. (2007). An alternative reconceptualization of procedural and conceptual knowledge. Journal for Research in Mathematics Education, 38(2), 115-127. https://doi.org/10.2307/30034952
• Blöte, A. W., Van der Burg, E., & Klein, A. S. (2001). Students’ flexibility in solving two-digit addition and subtraction problems: Instruction effects. Journal of Educational Psychology, 93(3), 627-638. https://doi.org/10.1037/0022-0663.93.3.627
• Brown J., Skow K., & the IRIS Center. (2016). Mathematics: Identifying and addressing student errors. http://iris.peabody.vanderbilt.edu/case_studies/ics_matherr.pdf
• Byrnes, J. P., & Wasik, B. A. (1991). Role of conceptual knowledge in mathematical procedural learning. Developmental Psychology, 27(5), 777-786. https://doi.org/10.1037/0012-1649.27.5.777
• Crooks, N. M., & Alibali, M. W. (2014). Defining and measuring conceptual knowledge in mathematics. Developmental Review, 34(4), 344-377. https://doi.org/10.1016/j.dr.2014.10.001
• Chi, M. T. H. (2005). Commonsense conceptions of emergent process: Why some misconceptions are robust. The Journal of the Learning Science, 14(2), 161-199. https://doi.org/10.1207/s15327809jls1402_1
• Hiebert, J., & Lefevre, P. (1986). Conceptual and procedural knowledge in mathematics: An introduction analysis. In J. Hiebert. (Ed.), Conceptual and procedural knowledge: The case of mathematics (pp. 1-28). Lawrence Erlbaum.
• Hiebert, J., & Capenter, T. P. (1992). Learning and teaching with understanding. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 65-97). Macmillan.
• Kieran, C. (1981). Concepts associated with the equality symbol. Educational Studies in Mathematics, 12(3), 317-326. https://doi.org/10.1007/BF00311062
• Kieran, C. (1992). The learning and teaching of school algebra. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 390-419). Macmillan.
• Kilpatrick, J., Swafford, J., & Findell, B. (2001). Adding It Up: Helping Children Learn Mathematics. National Academy Press. https://doi.org/10.17226/9822
• Knuth, E. J., Stephens, A. C., McNeil, N. M., & Alibali, M. W. (2006). Does Understanding the Equal Sign Matter? Evidence from Solving Equations. Journal for Research in Mathematics Education, 36(4), 297-312. https://doi.org/10.2307/30034852
• Li, X. (2006). Cognitive Analysis of students’ errors and misconceptions in variables, equations and functions (Doctoral dissertation), Texas A&M University.
• Malle, G. (1993). Didaktische Probleme der elementaren Algebra [Didactic problems in elementary algebra]. Vieweg. https://doi.org/10.1007/978-3-322-89561-5
• McNeil, N. M., & Alibali, M. W. (2005). Why won’t you change your mind? Knowledge of operational patterns hinders learning and performance. Child Development, 76(4), 883-899. https://doi.org/10.1111/j.1467-8624.2005.00884.x
• National Research Council. (2001). Classroom Assessment and the National Science Education Standards. National Academies Press.
• Perry M. (1991). Learning and transfer: Instructional conditions and conceptual change. Cognitive Development, 6(4), 449-468. https://doi.org/10.1016/0885-2014(91)90049-J
• Prediger, S. (2010). How to develop mathematics-for-teaching and for understanding: The case of meanings of the equal sign. Journal of Mathematics Teacher Education, 13(1), 73-93. https://doi.org/10.1007/s10857-009-9119-y
• Riccomini, P. J. (2016). How to use math error analysis to improve instruction. In Webinar error analysis to inform instruction. The Pennsylvania State University.
• Rittle-Johnson, B., & Alibali, M. W. (1999). Conceptual and Procedural Knowledge of Mathematics: Does One Lead to the Other?. Journal of Educational Psychology, 91(1), 175-189. https://doi.org/10.1037/0022-0663.91.1.175
• Sfard, A., & Linchevski, L. (1994). The gains and the pitfalls of reification: The case of algebra. Educational Studies in Mathematics, 26(2), 191-228. https://doi.org/10.1007/978-94-017-2057-1_4
• Sleeman, D. (1984). An attempt to understand students’ understanding of basic algebra. Cognitive Science, 8(4), 387-412. https://doi.org/10.1016/S0364-0213(84)80008-7
• Star, J. R. (2005). Reconceptualizing procedural knowledge. Journal for Research in Mathematics Education, 36(5), 404-411. https://doi.org/10.2307/30034943
• Star, J. R., & Seifert, C. (2006). The development of flexibility in equation solving. Contemporary Educational Psychology, 31(3), 280-300. https://doi.org/10.1016/j.cedpsych.2005.08.001
• Star, J. R., & Rittle-Johnson, B. (2008). Flexibility in problem solving: The case of equation solving. Learning and Instruction, 18(6), 565-579. https://doi.org/10.1016/j.learninstruc.2007.09.018
• Steinberg, R., Sleeman, D., & Ktorza, D. (1990). Algebra students’ knowledge of equivalence of equations. Journal for Research in Mathematics Education, 22(2), 112-121. https://doi.org/10.2307/749588

APA

Qetrani, S., Ouailal, S., & Achtaich, N. (2021). Enhancing Students’ Conceptual and Procedural Knowledge Using a New Teaching Approach of Linear Equations Based on the Equivalence Concept. Eurasia Journal of Mathematics, Science and Technology Education, 17(7), em1978. https://doi.org/10.29333/ejmste/10938

Vancouver

Qetrani S, Ouailal S, Achtaich N. Enhancing Students’ Conceptual and Procedural Knowledge Using a New Teaching Approach of Linear Equations Based on the Equivalence Concept. EURASIA J Math Sci Tech Ed. 2021;17(7):em1978. https://doi.org/10.29333/ejmste/10938

AMA

Qetrani S, Ouailal S, Achtaich N. Enhancing Students’ Conceptual and Procedural Knowledge Using a New Teaching Approach of Linear Equations Based on the Equivalence Concept. EURASIA J Math Sci Tech Ed. 2021;17(7), em1978. https://doi.org/10.29333/ejmste/10938

Chicago

Qetrani, Safâ, Salek Ouailal, and Naceur Achtaich. "Enhancing Students’ Conceptual and Procedural Knowledge Using a New Teaching Approach of Linear Equations Based on the Equivalence Concept". Eurasia Journal of Mathematics, Science and Technology Education 2021 17 no. 7 (2021): em1978. https://doi.org/10.29333/ejmste/10938

Harvard

Qetrani, S., Ouailal, S., and Achtaich, N. (2021). Enhancing Students’ Conceptual and Procedural Knowledge Using a New Teaching Approach of Linear Equations Based on the Equivalence Concept. Eurasia Journal of Mathematics, Science and Technology Education, 17(7), em1978. https://doi.org/10.29333/ejmste/10938

MLA

Qetrani, Safâ et al. "Enhancing Students’ Conceptual and Procedural Knowledge Using a New Teaching Approach of Linear Equations Based on the Equivalence Concept". Eurasia Journal of Mathematics, Science and Technology Education, vol. 17, no. 7, 2021, em1978. https://doi.org/10.29333/ejmste/10938