Ball, D. L. (1990). Prospective elementary and secondary teachers’ understanding of division. Journal for Research in Mathematics Education, 21(2), 132–144.
Bergstra, J. A. (2021). Division by zero in logic and computing. arXiv preprint arXiv:2101.05277.
Blake, R., & Verhille, C. (1985). The story of 0. For the Learning of Mathematics, 5(3), 35–47.
Cankoy, O. (2010). Mathematics teachers’ topic-specific pedagogical content knowledge in the context of teaching a°, 0! and a÷0. Educational Sciences: Theory & Practice, 10(2), 749–769.
Clark-Wilson, A., Robutti, O., & Thomas, M. (2024). Mathematics teaching, learning, and assessment in the digital age. ZDM – Mathematics Education, 56, 965–980. https://doi.org/10.1007/s11858-024-01612-9
Crespo, S., & Nicol, C. (2006). Challenging preservice teachers’ mathematical understanding: The case of division by zero. School Science and Mathematics, 106(2), 84–97.
Dahal, N. D. (2022). Enhancing student-teachers’ assessment skills: A self- and peer-assessment tool in higher education. Journal of Education, Teaching and Learning, 7(2), 152–160.
de Freitas, E., & Sinclair, N. (2014). Mathematics and the body: Material entanglements in the classroom. Cambridge University Press.
Duncan, H. F. (1991). Division by zero. Arithmetic Teacher, 18(6), 381–382.
Ernest, P. (1988). The impact of beliefs on the teaching of mathematics. Presented at the 6th International Congress on Mathematical Education (ICME VI), Budapest, Hungary.
Fishbein, E. (1987). Intuition in science and mathematics: An educational approach. Springer.
Hartshorne, R. (2013). Geometry: Euclid and beyond. Springer Science & Business Media.
Işıksal, M., & Çakıroğlu, E. (2011). The nature of prospective mathematics teachers’ pedagogical content knowledge: The case of multiplication of fractions. Journal of Mathematics Teacher Education, 14(3), 213–230.
Johnson, H. L., & Hwang, J. (2016). Relationship between problem-solving and conceptual understanding. Journal of Mathematical Behavior, 44, 53–69.
Kaplan, R. (2000). The nothing that is: A natural history of zero. Oxford University Press.
Karakus, F. (2018). Investigation of pre-service teachers’ pedagogical content knowledge related to division by zero. International Journal for Mathematics Teaching and Learning, 19(1).
Kim, Y. O. (2007). Explaining the impossibility of division by zero: Approaches of Chinese and Korean middle school mathematics teachers. Research in Mathematics Education, 11(1), 33–51.
Lamon, S. J. (1994). Ratio and proportion: Cognitive foundations in unitizing and norming. In G. Harel & J. Confrey (Eds.), The development of multiplicative reasoning in the learning of mathematics (pp. 89–120). SUNY Press.
Lerman, S. (1998). Why children fail and what mathematics education studies can do about it: The role of sociology. In P. Gates (Ed.), Proceedings of the First International Conference on Mathematics Education and Society (pp. 26–33). Centre for the Study of Mathematics Education, University of Nottingham.
Li, Y., Chen, X., & Kulm, G. (2011). Mathematics teachers’ practices and thinking in lesson plan development: A case of teaching fraction division. ZDM Mathematics Education, 43(5), 717–731.
Liburd, K. K. D., & Jen, H.-Y. (2021). Investigating the effectiveness of using a technological approach on students’ achievement in mathematics: Case study of a high school in a Caribbean country. Sustainability, 13(10), 5586.
Lo, J. J., & Luo, F. (2012). Prospective elementary teachers’ knowledge of fraction division. Journal of Mathematics Teacher Education, 15(6), 481–500.
McLoughlin, P., & Droujkova, M. (2013). A geometric approach to defining multiplication. arXiv preprint arXiv:1301.6602.
Mehri Takmeh, M., Fariberzi Araki, M. A., & Reihani, E. (1401). The effectiveness of instruction using GeoGebra‑generated examples on learning secondary geometry theorems. Educational Technology, 17(1), 23–38. . [In Persian]
Quinn, R. J., Lamberg, T. D., & Perrin, J. R. (2008). Teacher perceptions of division by zero. The Clearing House: A Journal of Educational Strategies, Issues and Ideas, 81(3), 101–104.
Russell, G., & Chernoff, E. J. (2011). Seeking more than nothing: Two elementary teachers’ conceptions of zero. The Mathematics Enthusiast, 8(1), 77–112.
Skemp, R. R. (1989). Mathematics in the primary school. Routledge.
Skemp, R. (1397). Mathematics in the Primary School, translate by, Haghverdi, M. and Heidari Ghezeljeh, R. Arak Branch, Islamic Azad University Press. [In Persian]
Smith, J., & Doe, A. (2021). A visual approach for solving problems with fractions. Education Sciences, 11(11), 727.
Smith, M. S., & Boston, M. D. (2009). Transforming secondary mathematics teaching: Increasing the cognitive demands of instructional tasks used in teachers’ classrooms. Journal for Research in Mathematics Education, 40(2), 119–156.
Son, J. W., & Crespo, S. (2009). Prospective teachers’ reasoning and response to a student’s non-traditional strategy when dividing fractions. Journal of Mathematics Teacher Education, 12(4), 235–261.
Sundar, V. K. (1990). Thou shalt not divide by zero. The Arithmetic Teacher, 37(7), 50–51.
Tirosh, D. (2000). Enhancing prospective teachers’ knowledge of children’s conceptions: The case of division of fractions. Journal for Research in Mathematics Education, 31(1), 5–25.
Tsamir, P. (1996). The development of the concept of zero in young children [Unpublished doctoral dissertation]. Tel Aviv University.
Tsamir, P., & Sheffer, R. (2000). Concrete and formal arguments: The case of division by zero. Mathematics Education Research Journal, 12(2), 92–106.
Wijers, M., Jonker, V., & Drijvers, P. (2023). Characterizing external visualization in mathematics education research: A scoping review. ZDM – Mathematics Education, 55, 1161–1180. https://doi.org/10.1007/s11858-023-01494-3.
Zahedi, M. (1401). Examining the flexibility of elementary student‑teachers with whole units in solving fraction division problems (Unpublished master’s thesis). Islamic Azad University, Arak. [In Persian]
Zahedi, M., & Hagverdi, M. (1401). Strategies for fraction division: An aspect of mathematical content knowledge. Roshd Journal of Mathematics Education, (142), 4–11. [In Persian]
Zhang, Y., Wang, P., Jia, W., Zhang, A., & Chen, G. (2023). Dynamic visualization by GeoGebra for mathematics learning: A meta-analysis of 20 years of research. Journal of Research on Technology in Education, 55, 1–22.
