Making sense of fraction in elementary on montessori didactic materials

Abstract

This study aims to explore how Montessori didactic materials help elementary school students understand the concept of fractions. Using qualitative methods and a Design Didactic Research (DDR) approach, data were collected through classroom observations, semi-structured interviews with Montessori teachers, and documentation of student work. The data analysis technique used was thematic analysis, where the researcher identified patterns and main themes from the data collected. Triangulation was conducted to validate the research results by combining findings from interviews, observations, and documentation. The results showed that the use of concrete manipulative materials significantly improved students' understanding of fractions, developed problem-solving skills, and built a strong connection between abstract and real concepts. The teacher acts as a facilitator, allowing students to learn independently while still guiding them in the exploration process. This study concludes that the Montessori method is effective in teaching fractions at the primary school level, by providing a deep and meaningful learning experience for students.
Keywords
  • Fractions
  • Manipulative
  • Montessori Didactic Materials
References
  1. Ahlquist, E.-M. T., & Gynther, P. (2020). Teaching in the Montessori Classroom: Investigating Variation Theory and Embodiment as a Foundation of Teachers’ Development. Journal of Montessori Research, 6(1), 33–45.
  2. Alshehri, S. (2017). The Comparison of Physical/Virtual Manipulative on Fifth-Grade Students’ Understanding of Adding Fractions. University of Cincinnati.
  3. Anggreini, D., & Priyojadmiko, E. (2022). Penerapan Media Inovatif dalam Meningkatkan Pembelajaran Matematika Materi Pecahan Sekolah Dasar pada Era Merdeka Belajar. Jurnal Pendidikan Dasar, 3(2), 82–93.
  4. Asoy, E., Boston, E., Madagmit, I. M., & Bacatan, J. (2022). Manipulatives in learning fraction for improving first-year elementary students’ understanding. Indonesian Journal of Teaching in Science, 2(2), 175–182.
  5. Aziza, A., Pratiwi, H., & Koernarso, D. A. P. (2020). Pengaruh Metode Montessori dalam Meningkatkan Pemahaman Konsep Matematika Anak Usia Dini di Banjarmasin. Al-Athfal: Jurnal Pendidikan Anak, 6(1), 15–26.
  6. Azizah, F. P. (2024). Dunia Pendidikan: Epistimologi Pendidikan Anak Usia Dini Dalam Perspektif Maria Montessori. TANJAK: Journal of Education and Teaching, 5(1), 31–45.
  7. Beilstein, S. O. (2019). Supporting children’s conceptual understanding of fractions with manipulatives and gesture. University of Illinois at Urbana-Champaign.
  8. Bungao-Abarquez, E. (2020). The use of manipulative in teaching elementary mathematics. International Journal of Linguistics, Literature and Translation, 3(11), 18–32.
  9. Cipta, D. A. S., Kartika, E. D., & Kurniawati, A. (2020). Pembelajaran Matematika Untuk Siswa Pervasive Developmental disorder-Not Otherwise Specified Melalui Montessori. Media Nusa Creative (MNC Publishing).
  10. Crneckiy, A. E. (2022). Montessori early childhood teachers’ preparedness to teach mathematics.
  11. Culclasure, B. T., Daoust, C. J., Cote, S. M., & Zoll, S. (2019). Designing a logic model to inform Montessori research. Journal of Montessori Research, 5(1), 35–49.
  12. Fauzi, I., & Arini, R. (2021). Desain didaktis penjumlahan dan pengurangan pecahan campuran di sekolah dasar. Jurnal Didaktika Pendidikan Dasar, 5(1), 1–30.
  13. Goss, A. M. (2022). Young Children’s Mathematical Spatial Reasoning in a Montessori Classroom. Université d’Ottawa/University of Ottawa.
  14. Hallumoğlu, K. Ö., Karsak, H. G. O., & Maner, A. F. (2023). The Effect of the Montessori Method Integrated with Collaborative Learning on Early Mathematical Reasoning Skills. International Journal of Contemporary Educational Research, 10(4), 917–929.
  15. Hamsa, H. A. (2020). Implementasi Metode Montessori Dalam Membentuk Arakter Kemandirian Pada Anak Usia Dini Di Brainy Bunch International Islamic Montessori School Malaysia.
  16. Hanifah, N., Magfiroh, N. H., & Assa’diy, A. A. (2024). Analisa Efektivitas Metode Montessori terhadap Kemampuan Atensi Anak ADHD. Aulad: Journal on Early Childhood, 7(2), 434–444.
  17. Isnawan, M. G. (2023). Didactical Design Research (I. K. Sukarna, Ed.; 1st ed.). Nashir Al-Kutub Indonesia.
  18. Isnawan, Muhamad G, Suryadi, D., & Turmudi, T. (2022). Barriers to student learning in operating fractions. AIP Conference Proceedings, 2566(1).
  19. Jackson, J. R. (2022). Maintaining the montessori method in louisiana public schools: a qualitative descriptive study. Grand Canyon University.
  20. Kofa, L. (2017). Elementary teachers’ perceptions of mathematics instruction in Montessori and traditional classrooms.
  21. Lillard, A. S. (2017). Montessori: The science behind the genius. Oxford University Press.
  22. Mavric, M. (2020). The Montessori Approach as a Model of Personalized Instruction. Journal of Montessori Research, 6(2), 13–25.
  23. Meiana, P. U. (2023). Manajemen Kurikulum Pendidikan Montessori Dalam Perspektif Merdeka Belajar. UIN Prof. KH Saifudidin Zuhri.
  24. Monzon, E. (2020). A Whole-Making Fractions Tangible. Diploma Work.
  25. Okoth, O. P. (2021). Exploring the use of concrete materials in teaching and learning of fractions in grade three: a case study of a public primary school in Homa-bay County, Kenya.
  26. Parungao, R. C. (2021). Manipulative Approach in Teaching Fractions. International Journal of Multidisciplinary: Applied Business and Education Research, 2(5), 435–447.
  27. Phillips, B. (2022). The Montessori Method and the Neurosequential Model in Education (NME): A Comparative Study. Journal of Montessori Research, 8(2), 33–43.
  28. Pouw, W. (2017). The cognitive function of manual activity in learning and problem solving.
  29. Rosanah, E. (2022). Pengaruh Penggunaan Media Puzzle Berbasis Metode Montessori untuk Meningkatkan Kemampuan Pemecahan Masalah pada Anak Usia 4 tahun. Jaktarta: Fakultas Ilmu Tarbiyah dan Keguruan UIN Syarif Hidayatullah Jakarta.
  30. Saylor, L. L., McKenzine, G. K., & Sacco, C. C. (2018). Teacher-Centered Mentorship as Meaningful Professional Montessori Development. Journal of Montessori Research, 4(2), 10–32.
  31. Suryadi, D. (2019). Penelitian desain didaktis (DDR) dan implementasinya. Gapura Press Bandung.
  32. Tamara, R. (2022). AZ Tanya Jawab Montessori & Parenting. Bentang Pustaka.
  33. Ummah, S. K. (2021). Media Pembelajaran Matematika (Vol. 1). UMMPress.
  34. Utami, M. P. (2023). Manajemen kurikulum pendidikan Montessori dalam perspektif Merdeka Belajar. Universitas Islam Negeri Saifuddin Zuhri (Indonesia).
  35. Vivant, S. (2022). Investigating if Montessori Education Creates Deep Learning Ecologies in the Classroom: A Case Study. Northcentral University.
  36. 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.
  37. Yayuk, E. (2019). Pembelajaran Matematika Sekolah Dasar (Vol. 1). UMMPress.