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Research Article

Exploring Learner Errors and Misconceptions in Algebraic Expressions with Grade 9 Learners Through the use of Algebra Tiles

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References

  • Adelman, C. (2006). The toolbox revisited: Paths to degree completion from high school through college. US Department of Education.
  • Booth, J.L., McGinn, K.M., Barbieri, C., & Young, L.K. (2017). Misconceptions and learning algebra. In S. Stewart (Ed.), And the Rest is Just Algebra (pp. 63–78). Springer, Cham.
  • Brodie, K. (2014). Learning about learner errors in professional learning communities. Educational Studies in Mathematics, 85(2), 221–239.
  • Bryant, D. P., Bryant, B. R., Dougherty, B., Roberts, G., Pfannenstiel, K. H., & Lee, J. (2020). Mathematics performance on integers of students with mathematics difficulties. The Journal of Mathematical Behavior, 58, 100776.
  • Chaurasia, P. (2019). Using algebraic tiles from secondary mathematics kit. Journal of Indian Education, 45(1), 19–31.
  • Cholily, Y.M., Kamil, T.R., & Kusgiarohmah, P.A. (2020). Secondary school students’ error of term of algebraic forms based on mathematical communication. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 9(2), 252–258.
  • Department of Basic Education (2011). Curriculum and Assessment Policy Statement (CAPS), mathematics Grades 7–9. Pretoria: Government Printing Works.
  • Department of Basic Education (2014). Annual National Assessments 2014. Pretoria: Government Printing Works.
  • Egodawatte, G. (2011). Secondary school learners’ misconceptions in algebra. Unpublished doctoral dissertation, University of Toronto.
  • Enu, J., & Ngcobo-Ndlovu, Z. (2020). Formative assessment: A tool for rectifying learners’ errors and misconceptions in mathematics. Journal of Education and Training, 4, 48–52.
  • Ergene, B.Ç., & Haser, Ç. (2021). Learners’ algebra achievement, algebraic thinking and views in the case of using algebra tiles in groups. Necatibey Eğitim Fakültesi Elektronik Fen ve Matematik Eğitimi Dergisi, 15(2), 254–281.
  • Faramarzpoor, N., & Fadaii, M.R. (2020). The investigation of learners’ mistakes in simplifying algebraic expressions and finding the source of these mistakes from the viewpoint of Mathematics teachers. Technology of Education Journal, 14(4), 959–970.
  • Gabina, S. (2019). The Effects of using manipulatives in teaching and learning of algebraic expression on senior high school (SHS) one learners’ achievements in Wa municipality. Journal of Educational Development and Practice, 3(3), 83–106.
  • Gardee, A. (2015). A teacher’s engagement with learner errors in her Grade 9 mathematics classroom. Pythagoras, 36(2), 1–9.
  • Hall, B.C. (1999). Using algebra tiles effectively: Tools for understanding. Prentice-Hall. https://www.bgsu.edu/content/dam/BGSU/nwo/documents/COMP-6-8/June20_2016/UsingAlgebraTilesEffectively.pdf
  • Komala, E. (2018). Analysis of learners’ mathematical abstraction ability by using discursive approach integrated peer instruction of structure algebra II. Infinity Journal, 7(1), 25–34.
  • Lim, K.S. (2010). An error analysis of Form 2 (Grade 7) learners in simplifying algebraic expressions: A descriptive study. Electronic Journal of Research in Educational Psychology, 8(1), 139–162.
  • Luneta, K., & Makonye, P.J. (2010). Learner errors and misconceptions in elementary analysis: A case study of a Grade 12 class in South Africa. Acta Didactica Napocensia, 3(3), 35–46.
  • Marpa, E.P. (2019). Common errors in algebraic expressions: A quantitative–qualitative analysis. International Journal on Social and Education Sciences, 1(2), 63–72.
  • McIntyre, D. (2005). Bridging the gap between research and practice. Cambridge Journal of Education: Special Issue: Teachers’ Good Practice and Research, 35(3), 357–382. http://doi.org/10.1080/03057640500319065
  • McNeil, N.M., Weinberg, A., Hattikudur, S., Stephens, A.C., Asquith, P., Knuth, E.J., & Alibali, M.W. (2010). A is for apple: Mnemonic symbols hinder the interpretation of algebraic expressions. Journal of Educational Psychology, 102(3), 625–634. http://doi.org/10.1037/a0019105
  • Moru, E.K., Qhobela, M., Wetsi, P., & Nchejane, J. (2014). Teacher knowledge of error analysis in differential calculus. Pythagoras, 35(2), 1–10.
  • Moyo, M. (2020). Exploring misconceptions of Grade 9 learners in the concept of fractions in a Soweto (township) school. Unpublished doctoral dissertation, University of South Africa.
  • Muchoko, C., Jupri, A., & Prabawanto, S. (2019, February). Algebraic visualization difficulties of learners in junior high school. Journal of Physics: Conference Series, 1157(3), 032108.
  • Mullis, I.V.S., Martin, M.O., Foy, P., Kelly, D.L., & Fishbein, B. (2020). TIMSS 2019 International Results in Mathematics and Science. Boston College, TIMSS & PIRLS International Study Center.
  • Ncube, M. (2016). Analysis of errors made by learners in simplifying algebraic expressions at Grade 9 level. Unpublished doctoral dissertation, University of South Africa.
  • Pournara, C. (2020). Grade 9 learners’ algebra performance: Comparisons across quintiles, insights from errors and curriculum implications. South African Journal of Science, 116(9–10), 1–7.
  • Pournara, C., Sanders, Y., Adler, J., & Hodgen, J. (2016). Learners’ errors in secondary algebra: Insights from tracking a cohort from Grade 9 to Grade 11 on a diagnostic algebra test. Pythagoras, 37(1), 1–10.
  • Pournara, C., Sanders, Y., & Takker, S. (2022). Learners’ errors with linear equations—and how to solve them! Learning and Teaching Mathematics, 2022(32), 3–9.
  • Pranada, J.R., Dizon, H.L., & Sabalza, L.R. (2019). Algebra tiles as teaching device in enhancing algebra skills. Ascendens Asia Journal of Multidisciplinary Research Abstracts, 3(2C).
  • Salifu, A.S. (2022). The effects of balance model and algebra tiles manipulative in solving linear equations in one variable. Contemporary Mathematics and Science Education, 3(2), ep22012.
  • Seng, L.K. (2010). Análisis de los errores de alumnos del primer curso de Educación Secundaria en la simplificación de expresiones algebraicas. Electronic Journal of Research in Educational Psychology, 8(1), 139–162.
  • Sfard, A. (1995). The development of algebra: Confronting historical and psychological perspectives. The Journal of Mathematical Behavior, 14(1), 15–39.
  • Sharp, J.M. (1995, October 11–14). Results of using algebra tiles as meaningful representations of algebra concepts. Paper presentation. Annual Meeting of the Mid-Western Education Research Association, Chicago, IL, USA.
  • Stemele, B.P. (2023) Exploring learner errors and misconceptions in algebraic expressions. Unpublished Master’s dissertation, University of the Witwatersrand.
  • Taban, J., & Cadorna, E. (2018). Structure sense in algebraic expressions and equations of groups of learners. Journal of Educational and Human Resource Development (JEHRD), 6, 140–154.
  • Thornton, G.J. (1995). Algebra tiles and learning styles. Unpublished doctoral dissertation, Simon Fraser University.
  • Vygotsky, L.S. (1978). Mind in society. Harvard University Press.
  • Wingett, A. (2019). Effectiveness of manipulatives within the Algebra 1 classroom. Unpublished Master’s dissertation, Goucher College.