Investigating fraction computation problem-solving among pre-service primary school teachers

Authors

  • Puri Pramudiani Universitas Muhammadiyah Prof. Dr. HAMKA https://orcid.org/0000-0002-9620-5283
  • Fitri Alyani Universitas Muhammadiyah Prof. DR. HAMKA
  • Maarten Dolk Utrecht University
  • Wanty Widjaja Deakin University

DOI:

https://doi.org/10.29408/jel.v10i3.27462

Keywords:

calculation, fraction, pre-service primary school teacher, workbook

Abstract

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.

Author Biographies

Puri Pramudiani, Universitas Muhammadiyah Prof. Dr. HAMKA

Department of Primary School Teacher Education

Fitri Alyani, Universitas Muhammadiyah Prof. DR. HAMKA

Department of Mathematics Education

Maarten Dolk, Utrecht University

Freudenthal Institute

Wanty Widjaja, Deakin University

School of Education, Faculty of Arts and Education

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

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Published

05-10-2024

How to Cite

Pramudiani, P., Alyani, F., Dolk, M., & Widjaja, W. (2024). Investigating fraction computation problem-solving among pre-service primary school teachers. Jurnal Elemen, 10(3), 685–710. https://doi.org/10.29408/jel.v10i3.27462

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