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Apr 27, 2021
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Abstract

Fraction division is one of the most difficult subjects in elementary school. Not only elementary students but many prospective teachers don’t understand the fraction division concept yet—most of them using a keep-change-flip algorithm to solve fraction division problems. A study using rectangle representation was conducted by us to prospective teachers. This study aims to see whether this rectangle representation will make prospective teachers understand or not. To do so, we made a mixed-method study with 80 prospective teachers as participants. The results show that 53,75% of prospective teachers use the keep-change-flip algorithm without understanding the concept of fraction division, and just 15% of prospective teachers understand fraction division. We assume that most prospective teachers still can’t imagine how fraction division works in a real-life context. They remember what they used to do to finish the fraction division problem that their teacher has introduced in primary school. Based on the results, we conclude that the study with rectangle representation still needs an improvement, whether the teacher’s explanation or the rectangle media.

Keywords

Fraction Division Keep-Change-Flip Algorithm Prospective Teachers Rectangle Representation

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References

  1. Adu-Gyamfi, K., Schwartz, C. S., Sinicrope, R., & Bossé, M. J. (2019). Making sense of fraction division: domain and representation knowledge of preservice elementary teachers on a fraction division task. Mathematics Education Research Journal, 31(4), 507-528. doi:10.1007/s13394-019-00265-2

  2. [Article]     [Google Scholar]

  3.  

  4. Alenazi, A. (2016). Examining middle school pre-service teachers’ knowledge of fraction division interpretations. International Journal of Mathematical Education in Science and Technology, 47(5), 696-716. doi:10.1080/0020739X.2015.1083127

  5. [Article]     [Google Scholar]

  6.  

  7. Apsari, R. A., Sariyasa, S., Indrawan, G., & Maulyda, M. A. (2020). Why should you reverse the order when dividing a fraction? A study of pre-service mathematics teachers’ pedagogical content knowledge in fractional concept. Journal of Physics: Conference Series, 1503(1), 012019. doi:10.1088/1742-6596/1503/1/012019

  8. [Article]     [Google Scholar]

  9.  

  10. Bentley, B., & Bossé, M. J. (2018). College students' understanding of fraction operations. International Electronic Journal of Mathematics Education, 13(3), 233-247. doi:10.12973/iejme/3881

  11. [Article]     [Google Scholar]

  12.  

  13. Ervin, H. K. (2017). Fraction multiplication and division models: A practitioner reference paper. International Journal of Research in Education and Science, 3(1), 258-279.

  14. [Article]     [Google Scholar]

  15.  

  16. Fitri, N. L., & Prahmana, R. C. I. (2019). Misconception in fraction for seventh-grade students. Journal of Physics: Conference Series, 1188(1), 012031. doi:10.1088/1742-6596/1188/1/012031

  17. [Article]     [Google Scholar]

  18.  

  19. Haji, S. (2013). Pendekatan Iceberg Dalam Pembelajaran Pembagian Pecahan di Sekolah Dasar. Infinity Journal, 2(1), 75-84.

  20. [Article]     [Google Scholar]

  21.  

  22. Klemer, A., Rapoport, S., & Lev-Zamir, H. (2019). The missing link in teachers’ knowledge about common fractions division. International Journal of mathematical education in science and technology, 50(8), 1256-1272. doi:10.1080/0020739X.2018.1522677

  23. [Article]     [Google Scholar]

  24.  

  25. Konak, A., Clark, T. K., & Nasereddin, M. (2014). Using Kolb's Experiential Learning Cycle to improve student learning in virtual computer laboratories. Computers & Education, 72, 11-22. doi:10.1016/j.compedu.2013.10.013

  26. [Article]     [Google Scholar]

  27.  

  28. Purnomo, Y. W., Widowati, C., & Ulfah, S. (2019). Incomprehension of the Indonesian elementary school students on fraction division problem. Infinity Journal, 8(1), 57-74. doi:10.22460/infinity.v8i1.p57-74

  29. [Article]     [Google Scholar]

  30.  

  31. Retnowati, R. P., Kamsiyati, S., & Matsuri, M. (2018). Improving fraction operation skills of multiplication and division through the application of domino card to student of grade v sdn 02 pulosari academic year 2017/2018. Social, Humanities, and Educational Studies (SHEs): Conference Series, 1(1), 711-717. doi:10.20961/shes.v1i1.23626

  32. [Article]     [Google Scholar]

  33.  

  34. Sahin, N., Gault, R., Tapp, L., & Dixon, J. K. (2020). Pre-service teachers making sense of fraction division with remainders. International Electronic Journal of Mathematics Education, 15(1), em0552. doi:10.29333/iejme/5934

  35. [Article]     [Google Scholar]

  36.  

  37. Stohlmann, M., Yang, Y., Huang, X., & Olson, T. (2020). Fourth to sixth grade teachers’ invented real world problems and pictorial representations for fraction division. International Electronic Journal of Mathematics Education, 15(1), em0557. doi:10.29333/iejme/5939

  38. [Article]     [Google Scholar]

  39.  

  40. Whitehead, A., & Walkowiak, T. A. (2017). Preservice elementary teachers’ understanding of operations for fraction multiplication and division. International Journal for Mathematics Teaching and Learning, 18(3), 293-317.

  41. [Article]     [Google Scholar]

  42.  

  43. Widada, W., Herawaty, D., Lusiana, D., Afriani, N. H., Sospolita, N., Jumri, R., & Trinofita, B. (2020). How are the process of abstraction of the division of fraction numbers by elementary school students?. Journal of Physics: Conference Series, 1657(1), 012040. doi:10.1088/1742-6596/1657/1/012040

  44. [Article]     [Google Scholar]

  45.  

  46. Yeo, S. (2019). Investigating children's informal knowledge and strategies: The case of fraction division. Research in Mathematical Education, 22(4), 283-304. doi:10.7468/jksmed.2019.22.4.283

  47. [Article]     [Google Scholar]