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Abstract

Understanding of fractions is difficult for Indonesian students. This often leads to misinterpretation in solving fractional problems. In this study, a task aiming at identifying students’ struggles in understanding the basic concept of part-whole relationships in fractions was developed and tested with six 4th-grade students. The task uses Indonesian sweet food, martabak, that has a rounded pizza-like shape as a context in which one slice was missing. Realistic Mathematics Education underlies the context designed, that was also inspired by the Dutch textbook Alles telt Q Basiswerkschrift. The study used a qualitative methodology through an interview, observation, and written test. The result of this study indicated that the students’ struggles can be identified as follows: making references to the whole, making references to the complete partition, and making sense of the incomplete partition. The study showed that the designed tasks have potentials to provoke students' reasoning in learning fractions. The findings indicate that when students learn fractions, their understanding of the meaning of fractions should be well addressed with problems that challenge this part-whole relationship. Challenging this relationship can be supported with problems that have some ambiguity about what is the ‘whole’
using the missing part context.

Keywords

Fractions Primary School Realistic Mathematics Education Student

Article Details

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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite
Pramudiani, P., Herman, T., Turmudi, Dolk, M., & Doorman, M. (2022). How does a missing part become important for primary school students in understanding fractions?. Journal on Mathematics Education, 13(4), 565–586. https://doi.org/10.22342/jme.v13i4.pp565-586
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References

  1. Baker, W., Czarnocha, B., Dias, O., Doyle, K., & Kennis, J. R. (2012). Procedural and Conceptual Knowledge: Adults Reviewing Fractions. Adults Learning Mathematics – An International Journal, 7(2), 39–65.
  2. Behr, M. J., Harel, G., Post, T., & Lesh, R. (1992). Rational Number, Ratio, and Proportion. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning: A project of the National Council of Teachers of Mathematics (pp. 296–333).
  3. Bennett, A. B., Laurie J. Burton, & Nelson, L. T. (2018). Mathematics for Elementary Teachers: A Conceptual Approach. In Mcgraw-Hill (9th ed.). The McGraw-Hill Companies, Inc.
  4. Blair, A. (2008). Hot Ideas for Fractions. 13(2), 16–18. https://archive.org/details/ERIC_EJ802701
  5. Bright, G. W., & Litwiller, B. H. (2002). Classroom Activities for Making Sense of Fractions, Ratios, and Proportions. 2002 Yearbook. National Council of Teachers of Mathematics.
  6. Čadež, T. H., & Kolar, V. M. (2018). How fifth-grade pupils reason about fractions: a reliance on part-whole subconstructs. Educational Studies in Mathematics, 99(3), 335–357. https://doi.org/10.1007/s10649-018-9838-z
  7. Cwikla, J. (2014). Can Kindergartners Do Fractions? National Council of Teachers of Mathematics, 20(6), 354–364. https://www.jstor.org/stable/10.5951/teacchilmath.20.6.0354
  8. Fosnot, C. T., & Dolk, M. (2002). Young Mathematicians at Work: Constructing Fractions, Decimals, and Percents (V. Merecki & L. Peake (eds.)). HEINEMANN • Portsmouth, NH.
  9. Gravemeijer, K. P. E. (1994). Developing Realistic Mathematics Education: Ontwikkelen Van Realistisch Reken/wiskundeonderwijs. , 1994. CD-[Beta] Press, 13(3).
  10. Hoon, T. S., Mohamed, S. S. E., Singh, P., & Kee, K. L. (2020). In Search of Strategies Used by Primary School Pupils for Developing Fraction Sense. Malaysian Journal of Learning and Instruction, 17(2), 25–61. https://doi.org/10.32890/mjli2020.17.2.2
  11. Jordan, N. C., Rodrigues, J., Hansen, N., & Resnick, I. (2017). Fraction Development in Children: Importance of Building Numerical Magnitude Understanding. In D. C. Geary, D. B. Berch, R. J. Ochsendorf, & K. M. Koepke (Eds.), Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts. Elsevier Academic Press. https://doi.org/10.1016/B978-0-12-805086-6.00006-0
  12. Keijzer, R. (2015). Teaching Formal Mathematics in Primary Education. Fraction Learning as Mathematising Process. Wilco, Amersfoort.
  13. Kerie, B., Banda, B., Tyomane, N., & MOE-JICA, E. (2019). Students’ Understanding of the Concept of Fraction and Computational Skills: A Case of Grade Seven and Eight in Selected Regions of Ethiopia. Researchgate.Net, January 2022.
  14. Nattrass, G. (2017). Review Reviewed Work ( s ): Fractions in Realistic Mathematics Education : A Paradigm of Developmental Research by Leen Streefland. The Arithmetic Teacher, 39(7), 41.
  15. Pantziara, M., & Philippou, G. (2012). Levels of Students’ “Conception” of Fractions. Educational Studies in Mathematics, 79(1), 61–83. https://doi.org/10.1007/s10649-011-9338-x
  16. Ratnasari, R. (2018). Students’ Errors and Misconceptions about Operations of Fractions in an Indonesian Primary School. Southeast Asian Mathematics Education Journal, 8(1), 83–98. https://doi.org/10.46517/seamej.v8i1.66
  17. Shahbari, J. A., & Peled, I. (2017). Modelling in Primary School: Constructing Conceptual Models and Making Sense of Fractions. International Journal of Science and Mathematics Education, 15(2), 371–391. https://doi.org/10.1007/s10763-015-9702-x
  18. Streefland, L. (1993). The design of a mathematics course. A theoretical reflection. Educational Studies in Mathematics, 25(1–2), 109–135. https://doi.org/10.1007/BF01274105
  19. Tekin-Sitrava, R., Kaiser, G., & Işıksal-Bostan, M. (2022). Development of Prospective Teachers’ Noticing Skills Within Initial Teacher Education. International Journal of Science and Mathematics Education, 20(7), 1611–1634. https://doi.org/10.1007/s10763-021-10211-z
  20. Vale, C., Widjaja, W., Herbert, S., Bragg, L. A., & Loong, E. Y.-K. (2016). Mapping Variation in Children’s Mathematical Reasoning: The Case of ‘What Else Belongs?’ International Journal of Science and Mathematics Education, 15(5), 873–894. https://doi.org/10.1007/s10763-016-9725-y
  21. Wetering, van de M., Bekkema, C., Coenen, F., Eijnden, van den M., Harten, C., Ootermeijer, J., Nillesen, C., Santen, van Y., Westheest, Y., & Woltjer, M. (2020). Alles telt Q Basiswerkschrift. ThiemeMeulenhoff.
  22. Wilkins, J. L. M., & Norton, A. (2018). Learning progression toward a measurement concept of fractions. International Journal of STEM Education, 5(1), 27. https://doi.org/10.1186/s40594-018-0119-2
  23. Zhang, X., Clements, M. A., & Ellerton, N. F. (2015). Conceptual mis (understandings) of fractions: From area models to multiple embodiments. Mathematics Education Research Journal, 27(2), 233–261. https://doi.org/10.1007/s13394-014-0133-8
  24. Zulkardi, & Putri, R. I. I. (2006). Mendesain sendiri soal kontekstual matematika [Designing your own contextual math problems]. Konferensi Nasional Matematika XIII Semarang, 1–7.

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