Investigating fraction computation problem-solving among pre-service primary school teachers
DOI:
https://doi.org/10.29408/jel.v10i3.27462Keywords:
calculation, fraction, pre-service primary school teacher, workbookAbstract
The ability to solve problems involving fractions is a fundamental aspect of mathematics education. This study explores how Pre-Service Primary School Teachers approach problem-solving in fractional computations. A workbook is designed to support pre-service primary school teachers ' computational thinking in fraction-context challenges. The study employs a qualitative descriptive method encompassing interviews, study documentation, and observation to assess fraction computation problem-solving abilities. Twenty-seven participants were involved in this study. They were first-year students enrolled in the Primary School Teacher Education Department at one of the private universities in Jakarta, Indonesia. The findings reveal a notable outcome in pre-service primary school teachers ' understanding of fraction computation problem-solving, marked by recognizable strategies in their problem-solving approach. This research suggests that designing a series of workbooks containing various strategies in computational fractions and building a strong fractional number sense can help pre-service teachers reduce misconceptions and better understand fraction operations. These findings offer guidance for mathematics teacher education on how to effectively teach and embed the concept of fraction calculations to their future students so that they can only teach procedurally if they understand the meaning of fraction operations.
References
Ball, D. L. (2021). The mathematical understandings that prospective teachers bring to teacher education. The Elementary School Journal, 90(4), 450–466. http://www.journals.uchicago.edu/t-and-c
Bowie, L., Venkat, H., & Askew, M. (2019). Pre-service primary teachers’ mathematical content knowledge: An exploratory study. African Journal of Research in Mathematics, Science and Technology Education, 23(3), 286–297. https://doi.org/10.1080/18117295.2019.1682777
Brown, E. (2016). Fractions: A concept study. 1–52. https://www.researchgate.net/publication/305180570
Chinnappan, M. (2000). Preservice teachers’ understanding and representation of equality of fractions in a JavaBars environment. Mathematics Education Research Journal, 12(3), 234–253. https://doi.org/10.1007/BF03217087
Czarniawska. (2004). Narratives in social science research. Sage Publications, 41–44.
Dita, K. W., & Abate, M. T. (2023). An assessment of prospective mathematics teachers’ capability in performing basic operations, difficulties and misconceptions on fractions in Jimma College of Teachers’ Education, Ethiopia. The Ethiopian Journal of Education, XLIII(1), 71–97.
Duodu, S. B., Ennin, F. C., Borbye, S., & Amoaddai, S. (2019). Pre-service primary school teachers’ mathematical knowledge for teaching fractions through problem solving. International Journal of Advances in Scientific Research and Engineering, 5(3), 8–17. https://doi.org/10.31695/ijasre.2019.33085
Gencturk, Y. C. (2021). Teachers’ conceptual understanding of fraction operations: results from a national sample of elementary school teachers. Educational Studies in Mathematics, 107(3), 525–545. https://doi.org/10.1007/s10649-021-10033-4
Getenet, S., & Callingham, R. (2017). Teaching fractions for understanding: addressing interrelated concepts. Melbourne: MERGA, 277–284.
Hakim, L. L., & Yasmadi, B. (2021). Conceptual and procedural knowledge in mathematics education design engineering conceptual and procedural knowledge in mathematics education. Design Engineering, 9, 1271–1280. https://www.researchgate.net/publication/356711989
Huang, T.-W., Liu, S.-T., & Lin, C.-Y. (2013). Preservice teachers’ mathematical knowledge of fractions. Research in Higher Education Journal, 1–8.
Kasa, Y., Areaya, S., & Woldemichael, M. (2024). Mathematics teachers’ beliefs about mathematics, its teaching, and learning: The case of five teachers. Pedagogical Research, 9(2), 1–11. https://doi.org/10.29333/pr/14172
Kolar, V. M., Čadež, T. H., & Vula, E. (2018). Primary teacher students’ understanding of fraction representational knowledge in Slovenia and Kosovo. Center for Educational Policy Studies Journal, 8(2), 71–96. https://doi.org/10.26529/cepsj.342
Kwarteng, E. F., & Ahia, F. (2015). Learning mathematics in english at basic schools in Ghana: A benefit or hindrance? European Journal of Educational Research, 4(3), 124–139.
Lee, J., & Lee, M. Y. (2022). How elementary prospective teachers use three fraction models: Their perceptions and difficulties. Journal of Mathematics Teacher Eduaction, 26, 455–480. https://link.springer.com/article/10.1007/s10857-022-09537-4
Masingila, J. O., Olanoff, D., & Kimani, P. M. (2017). Mathematical knowledge for teaching teachers: Knowledge used and developed by mathematics teacher educators in learning to teach via problem solving. 21, 429–450. https://link.springer.com/article/10.1007/s10857-017-9389-8
Nasheeda, A., Abdullah, H. B., Krauss, S. E., & Ahmed, N. B. (2019). A narrative systematic review of life skills education: Effectiveness, research gaps and priorities. International Journal of Adolescence and Youth, 24(3), 362–379. https://doi.org/10.1080/02673843.2018.1479278
Nillas, L. (2003). Division of fractions: Preservice teachers’ understanding and use of problem-solving strategies. The Mathematics Educator, 7(2), 96–113.
Olanoff, D., Lo, J.-J., & Tobias, J. (2014). Mathematical content knowledge for teaching elementary mathematics: A focus on fractions. The Mathematics Enthusiast, 11(2), 267–310. https://doi.org/10.54870/1551-3440.1304
Pramudiani, P., Herman, T., Turmudi, Dolk, M., & Terlouw, B. (2024). Primary school teachers’ perspectives on teaching fractions. AIP Conference Proceedings, 3058(1). https://doi.org/10.1063/5.0202436
Ratnasari. (2018). Students’ errors and misconceptions about operations of fractions in an indonesian primary school. Southeast Asian Mathematics Education Journal, 8(1).
Silver, E. A., & Lesh, R. (2016). Rational number concepts. https://www.researchgate.net/publication/258510439
Sin, S. (2021). Examining Cambodian pre-service primary school teachers’ mathematical knowledge for teaching (MKT) on fractions. Cambodian Journal of Educational Development, 1, 86–107.
Walle, V. de. (2001). Chapter 1 teaching mathematics for understanding.
Widjaja, W. (2013). The use of contextual problems to support mathematical learning. Journal on Mathematics Education (IndoMS-JME), 4(2), 151–159.
Wilkie, K. J., & Roche, A. (2023). Primary teachers’ preferred fraction models and manipulatives for solving fraction tasks and for teaching. Journal of Mathematics Teacher Education, 26(6), 703–733. https://doi.org/10.1007/s10857-022-09542-7
Zerpa, C., Kajander, A., & Barneveld, C. van. (2009). Factors that impact preservice teachers’ growth in conceptual mathematical knowledge during a mathematics methods course. International Electronic Journal of Mathematics Education, 4(2), 57–76. https://doi.org/10.29333/iejme/230
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Puri Pramudiani, Fitri Alyani, Maarten Dolk, Wanty Widjaja
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Authors who publish with the Jurnal Elemen agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under Creative Commons Attribution-ShareAlike 4.0 International License (CC BY-SA 4.0).
- Authors are able to enter into separate, additional contractual arrangements for the distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.
Jurnal Elemen is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License