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A Systematic Literature Review on Students Misconceptions in Mathematics

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The misconception in mathematics education has been highlighted in various studies. However, there is still a limited literature review on students’ misconceptions in mathematics. The purpose of this study is to review and analyze articles on student misconceptions in mathematics published between 2014 and 2019. The literature search for this study was conducted using four online databases, namely ERIC, Scopus, ScienceDirect, and Google Scholar. To ease the process, the researcher has set several inclusion and exclusion criteria before conducting the review. This study found that there is a decline in the number of articles published between 2014 to 2019 and that most studies have focused on primary school students. The study found that most of the studies conducted were aimed at determining misconceptions rather than overcoming students’ misconceptions in mathematics education. Also, the instruments and methods for obtaining data that researchers often use are through tests and interviews. Some suggestions on overcoming misconceptions in mathematics are also highlighted for further study.
Alghazo, Y. M., & Alghazo, R. (2017). Exploring common misconceptions and errors about fractions among college students in Saudi Arabia. International Education Studies, 10(4), 133-140. DOI:10.5539/ies.v10n4p133
Aliustao?lu, F., Tuna, A., & Biber, A. (2018). The Misconceptions of Sixth Grade Secondary School Students on Fractions. International Electronic Journal Of Elementary Education, 10(5), 591-599. Retrieved from https://www.iejee.com/index.php/IEJEE/article/view/512.DOI: 10.26822/iejee.201854130
Ang, L. H., & Shahrill, M. (2014). Identifying students’ specific misconceptions in learning probability. International Journal of Probability and Statistics, 3(2), 23-29.
DOI: 10.5923/j.ijps.20140302.01.
Booth, J. L., Newton, K. J., & Twiss-Garrity, L. K. (2014). The impact of fraction magnitude knowledge on algebra performance and learning. Journal of Experimental Child Psychology, 118, 110–118.DOI: 10.1016/j.jecp.2013.09.001
Brodie, K. (2014). Learning about learner errors in professional learning communities. Educational Studies of Mathematics, 85(2), 221–239. DOI: 10.1007/s10649-013-9507-1
Denbel, D. G. (2014). Students’ misconceptions of the limit concept in a first calculus course. Journal of Education and Practice, 5(34), 24-40.
Dhlamini, Z. B., & Kibirige, I. (2014). Grade 9 learners’ errors and misconceptions in addition of fractions. Mediterranean Journal of Social Sciences, 5(8), 236.
DOI: 10.5901/mjss.2014.v5n8p236
Durkin, K., & Rittle-Johnson, B. (2015). Diagnosing misconceptions: Revealing changing decimal fraction knowledge. Learning and Instruction, 37, 21-29.
DOI: 10.1016/j.learninstruc.2014.08.003
Fadillah, S., & Susiaty, U. D. (2019). Developing refutation text to resolve students’ misconceptions in addition and subtraction of integers. Beta: Jurnal Tadris Matematika, 12(1), 14-25. DOI: 10.20414/betajtm.v12i1.160
Gningue, S. M., Menil, V. C., & Fuchs, E. (2014). Applying Bruner's theory of representation to teach pre-algebra and algebra concepts to community college students using virtual manipulatives. Electronic Journal of Mathematics & Technology, 8(3).
Gurel, D. K., Ery?lmaz, A., & McDermott, L. C. (2015). A review and comparison of diagnostic instruments to identify students' misconceptions in science. Eurasia Journal of Mathematics, Science & Technology Education, 11(5), 989-1008.
https://doi.org/10.12973/eurasia.2015.1369a
Koray, Ö., & Bal, ?. (2002). Fen ö?retiminde kavram yan?lg?lar? ve kavramsal de?i?im stratejisi. Gazi Üniversitesi Kastamonu E?itim Fakültesi Dergisi, 10(1), 83-90.
Kula, S., & Güzel, E. B. (2014). Misconceptions emerging in mathematics student teachers’ limit instruction and their reflections. Quality & Quantity, 48(6), 3355-3372.DOI: 10.1007/s11135-013-9961-y
Lee, J. S., & Ginsburg, H. P. (2009). Early childhood teachers' misconceptions about mathematics education for young children in the united states. Australasian Journal of Early Childhood, 34(4), 37-45. https://doi.org/10.1177/183693910903400406
Li, V. L., Julaihi, N. H., & Eng, T. H. (2017). Misconceptions and errors in learning integral calculus. Asian Journal of Universiti Education, 13(2), 17-39.
Lin, C. Y., Ko, Y., & Kuo, Y. C. (2014). Changes in pre-service teachers’ algebraic misconceptions by using computer-assisted instruction. International Journal of Technology in Mathematics Education, 21(3), 89101. DOI: 10.1007/978-3-319-45053-7_4
Lin, Y. C. (2016). Diagnosing students' misconceptions in number sense via a web-based two-tier test. Eurasia Journal of Mathematics, Science & Technology Education, 12(1). https://doi.org/10.12973/eurasia.2016.1420a.
Luneta, K. (2015). Understanding students' misconceptions: An analysis of final grade 12 examination questions in geometry. Pythagoras, 36(1), 1-11. doi:10.4102/pythagoras.v36i1.261.
Machaba, F. M. (2016). The concepts of area and perimeter: insights and misconceptions of grade 10 learners. Pythagoras, 37(1), 1-11. DOI: 10.4102/pythagoras.v37i1.304
Makonye, J. P., & Fakude, J. (2016). A study of errors and misconceptions in the learning of addition and subtraction of directed numbers in grade 8. SAGE Open, 6(4), 2158244016671375.
Mehmetlio?lu, D. (2014). Misconceptions of elementary school students about comparing decimal numbers. Procedia-Social and Behavioral Sciences, 152, 569-574. doi: 10.1016/j.sbspro.2014.09.245
Ming, C. Y., Eng, C. P., Foong, N. S., & Ng, K. S. (2017). Undergraduates’ error patterns and misconceptions in further differential equations. International Academic Research Journal of Social Science, 3(1), 65-70. DOI: https://doi.org/10.26858/jds.v5i3.4843
Rustam, M. R., & Azlina, M. K. (2017). Challenges in mathematics learning: A study from school student’ s perspective. Research on Educational Study 1. DOI: 10.1016/j.sbspro.2013.10.243
Mohyuddin, R. G., & Khalil, M. (2014). Misconceptions of students learning in Mathematics at primary level. Bulletin of Education and Research June 2016, Vol. 38, No. 1 pp. 133-162. DOI: 10.11591/ijere.v8.i1.16290 29
Öçal, M. F. (2017). Asymptote misconception on graphing functions: Does graphing software resolve it? Malaysian Online Journal of Educational Technology, 5(1), 21-33. DOI: 10.17220/mojet.
Ozkan, M., & Bal, A. P. (2017). Analysis of the misconceptions of 7th grade students on polygons and specific quadrilaterals. Eurasian Journal of Educational Research, 16(67). DOI: 10.14689/ejer.2017.67.10
Rakes, C. R., & Ronau, R. N. (2018). Rethinking mathematics misconceptions: using knowledge structures to explain systematic errors within and across content domains. International Journal of Research in Education and Science, 5(1), 1-21.
Rana, G. M., & Usman, K. (2016). Misconceptions of students in learning mathematics at primary level. Bulletin of Education and Research. DOI: 10.11591/ijere.v8i1.16290
Sar?mano?lu, N. U. (2019). The investigation of middle school students’ misconceptions about algebra. Studies in Educational Research and Development, 3(1), 1-22.
Sarwadi, H. R. H., & Shahrill, M. (2014). Understanding students’ mathematical errors and misconceptions: The case of year 11 repeating students. Mathematics Education Trends and Research, 2014(2014), 1-10. DOI: 10.5899/2014/metr-00051
Sisman, G. T., & Aksu, M. (2016). A study on sixth grade students’ misconceptions and errors in spatial measurement: Length, area, and volume. International Journal of Science and Mathematics Education, 14(7), 1293-1319. DOI: 10.1007/s10763-015-9642-5
Smith, J. P., diSessa, A. A., & Roschelle, J. (1993). Misconceptions reconceived: A constructivist analysis of knowledge in transition. The Journal of Learning Sciences, 3(2), 115-163. https://doi.org/10.1207/s15327809jls0302_1
Stavrou, S. G. (2014). Common errors and misconceptions in mathematical proving by education undergraduates. Issues in the Undergraduate Mathematics Preparation of School Teachers, 1.
Tabak, S. (2019). 6th, 7th and 8th grade students’ misconceptions about the order of operations. International Journal of Educational Methodology, 5(3), 363-373. https://doi.org/10.16949/turkbilmat.333037
Tiwari, C., & Fatima, R. (2019). Secondary school students’ misconceptions in algebra concepts. Mahatma Gandhi Central Universiti Journal of Social, 1(1), 22-33.
Trivena, V., Ningsih, A. R., & Jupri, A. (2017). Misconception on addition and subtraction of fraction at primary school students in fifth-grade. In Journal of Physics: Conference Series (Vol. 895, No. 1, p. 012139). IOP Publishing.
Türkdo?an, A., Güler, M., Bülbül, B. Ö., & Dani?man, ?. (2015). Studies about misconceptions in mathematics education in Turkey: A thematic review. Mersin Universiti Journal of the Faculty of Education, 11(2).
Türnüklü, E. (2014). Construction of inclusion relations of quadrilaterals: analysis of pre- service elementary mathematics teachers’ lesson plans. Education and Science, 39(173), 197-208. DOI:10.21890/ijres.428968
Üce, M., & Ceyhan, I. (2019). Misconception in chemistry education and practices to eliminate them: Literature analysis. Journal of Education and Training Studies, 7(3), 202-208. https://doi.org/10.11114/jets.v7i3.3990
Üzel, D. (2018). Investigation of misconceptions and errors about division operation in fractions. Universal Journal of Educational Research, 6(11), 2656-2662.
DOI: 10.13189/ujer.2018.061131
Vermeulen, C., & Meyer, B. (2017). The equal sign: teachers’ knowledge and students’ misconceptions. African Journal of Research in Mathematics, Science and Technology Education, 21(2), 136-147. DOI: 10.1080/18117295.2017.1321343
Williams, J., & Ryan, J. (2000). National testing and the improvement of classroom teaching: Can they coexist? British Educational Research Journal, 26(1), 49-73. DOI: 10.1080/014119200109516
Winarso, W. (2017). a case study of misconceptions students in the learning of mathematics; the concept limit function in high school. Jurnal Riset Pendidikan Matematika, 4.
Yang, D. C., & Lin, Y. C. (2015). Assessing 10-To 11-year-old children’s performance and misconceptions in number sense using a four-tier diagnostic test. Educational Research, 57(4), 368-388. DOI: 10.1080/00131881.2015.1085235
Zulnaidi, H., & Oktavika, E. (2018). The effect of geogebra on students’ misconceptions of limit function topic. JuKu: Jurnal Kurikulum & Pengajaran Asia Pasifik, 6(1), 1-6.
In-Text Citation: (Jamaludin & Maat, 2020)
To Cite this Article: Jamaludin, N. H., & Maat, S. M. (2020). A Systematic Literature Review on Students Misconceptions in Mathematics. International Journal of Academic Research in Business and Social Sciences, 10(6), 115–131.