Online didactical design for subtraction fractions: A didactical design research through lesson study activities
Keywords:
fractions, learning barriers, online didactical design, didactical design research, lesson studyAbstract
When the COVID-19 pandemic struck, students encountered several obstacles during their learning, including the inability to implement optimal learning strategies. Therefore, this research aimed to develop an online didactic design that could potentially reduce barriers to student learning, particularly in fraction subtraction operations. The research employed a didactical design approach. At each step of the research design, the researcher used lesson study activities to produce a good online didactic design. Participants in this research were 56 students in grades VII and VIII, aged 13 to 18 years. The researcher was the main instrument, with several additional instruments, such as online didactic design, fraction tests, interview guides, and documentation studies. We used thematic analysis to analyze data on learning barriers, and qualitative analysis to analyze implementation data. The research results revealed that students indicated that they had experienced learning obstacles with ontogenic and epistemological obstacles during the COVID-19 pandemic. Upon compiling and implementing the online didactic design, we found no evidence of learning obstacles among the students. Although students encountered difficulties when solving fraction subtraction problems, this was not due to learning factors, but rather to internal factors such as a lack of study time.
References
Alhojailan, M. I., & Ibrahim, M. (2012). Thematic analysis: A critical review of its process and evaluation. West East Journal of Social Sciences, 1(2011), 8–21. https://faculty.ksu.edu.sa/sites/default/files/ta_thematic_analysis_dr_mohammed_alhojailan.pdf
Alsulami, N. M., Isnawan, M. G., Bahri, S., Pakhrurrozi, I., & Santosa, F. H. (2023). Meaning and learning fractions: analysis of learning barriers from a mathematics teacher's perspective. Polyhedron International Journal in Mathematics Education, 1(1), 7-14. https://doi.org/10.59965/pijme.v1i1.2
Arslan, S., Baran, D., & Okumus, S. (2011). Brousseau’s theory of didactical situations in mathematics and an application of adidactical situations. Necatibey Faculty of Education Electronic Journal of Sciene and Mathematics Education, 5(1), 204–224. https://www.academia.edu/813560/Brousseaus_Theory_of_Didactical_Situations_in_Mathematics_and_An_Application_of_Adidactical_Situations
Brousseau, G. (2002). Theory of didactical situations in mathematics. Kluwer Academic Publishers. https://id1lib.org/book/979725/fd6fae
Chen, X. I., & Li, Y. (2010). Instructional coherence in chinese mathematics classroom — a case study of lessons on fraction division. International Journal of Science and Mathematics Education, 8, 711–735. https://doi.org/10.1007/s10763-009-9182-y
Finkelstein, S., Sharma, U., & Furlonger, B. (2019). The inclusive practices of classroom teachers: a scoping review and thematic analysis. International Journal of Inclusive Education, 1–28. https://doi.org/10.1080/13603116.2019.1572232
Fitriati, F., Rosli, R., & Iksan, Z. H. (2023). Enhancing prospective mathematics teachers’ lesson planning skills through lesson study within school university partnership program. Journal on Mathematics Education, 14(1), 69–84. https://doi.org/10.22342/JME.V14I1.PP69-84
Gantina, I., & Herman, T. (2013). The Didactical Design of Fractions Addition Operation Using RME. The 2nd International Conference on Elementary Education, 2, 1779–1790. http://proceedings.upi.edu/index.php/icee/article/download/806/724
Huang, R., & Shimizu, Y. (2016). Improving teaching, developing teachers and teacher educators, and linking theory and practice through lesson study in mathematics: An international perspective. ZDM-Mathematics Education, 48(4), 393–409. https://doi.org/10.1007/s11858-016-0795-7
Isnawan, M. G., & Fakhrina, D. (2023). Perkembangan Kemampuan Pemecahan Masalah dan Motivasi Belajar Murid dalam Pembelajaran Pola Bilangan Geometri Selama Program KDS di SMP NW Mataram. Prosiding Seminar Nasional: Kemitraan Dosen Lembaga Pendidikan Tenaga Kependidikan (LPTK) Dengan Guru Di Sekolah Tahun 2023.
Isnawan, M. G., Sudirman, S., Sukarma, I. K., Wahyuni, F., & Alsulami, N. M. (2023). Optimizing students’ mathematical problem-solving abilities through geoboard-assisted didactic design on triangular number pattern material. Journal of Didactic Mathematics, 4(3), 200-213. https://doi.org/10.34007/jdm.v4i3.2073
Isnawan, M. G., Alsulami, N. M., Rusmayadi, M., Samsuriadi., Sudirman & Yanuarto, W. N. (2023). Analysis of student learning barriers in fractional multiplication: A hermeneutics phenomenology study in higher education. Edumatica: Jurnal Pendidikan Matematika, 13(1), 11–22. https://doi.org/https://doi.org/10.22437/edumatica.v13i01.24190
Isnawan, M. G., Suryadi, D., & Turmudi, T. (2022). How do secondary students develop the meaning of fractions? A hermeneutic phenomenological study. Beta: Jurnal, 15(1), 1–19. https://doi.org/10.20414/betajtm.v15i1.496
Isnawan, M. G., Suryadi, D., Turmudi, T., & Marfuah, M. (2022). Parental obstacles during distance learning mathematics in Indonesia: A phenomenology study. European Journal of Educational Research, 11(2), 873–883. https://doi.org/10.12973/eu-jer.11.2.873
Jarrah, A. M., Wardat, Y., & Gningue, S. (2022). Misconception on Addition and Subtraction of Fractions in Seventh-grade Middle School students. Eurasia Journal of Mathematics, Science and Technology Education, 18(6). https://doi.org/10.29333/ejmste/12070
Joubert, J., Callaghan, R., & Engelbrecht, J. (2020). Lesson study in a blended approach to support isolated teachers in teaching with technology. ZDM-Mathematics Education, 52, 907–925. https://doi.org/10.1007/s11858-020-01161-x
Kasim, F. F. (2017). Desain Didaktis Konsep Operasi Hitung Bilangan Pecahan pada Pembelajaran Matematika SMP [Universitas Pendidikan Matematika]. http://repository.upi.edu/28781/
Marfuah, M., Suryadi, D., Turmudi, T., & Isnawan, M. G. (2022). Providing online learning situations for in-service mathematics teachers’ external transposition knowledge during Covid-19 pandemic: Case of Indonesia. Electronic Journal of E-Learning, 20(1), 69–84. https://doi.org/10.34190/ejel.20.1.2388
Miles, M. B., Huberman, A. M., & Saldana, J. (2014). Qualitative data analysis: A methods sourcebook. In SAGE Publications, Inc. https://id.id1lib.org/book/3593988/83e08f
Muhibban, M., Isnawan, M. G., & Aziz, A. (2023). Android-based Didactical Design for Learning Lines and Angles: An Interpretive Didactical Design Research. Polyhedron International Journal in Mathematics Education, 1(2), 106-118. https://doi.org/10.59965/pijme.v1i2.54
Nowell, L. S., Norris, J. M., White, D. E., & Moules, N. J. (2017). Thematic analysis: Striving to meet the trustworthiness criteria. International Journal of Qualitative Methods, 16, 1–13. https://doi.org/10.1177/1609406917733847
Parwadi, P., Susanta, A., & Muchlis, E. E. (2020). Analisis Kesalahan Siswa dalam Menyelesaikan Soal Matematika Materi Pecahan Kelas VII SMP Negeri 16 Kota Bengkulu. Jurnal Penelitian Pembelajaran Matematika Sekolah (JP2MS), 4(3), 442–454. https://doi.org/10.33369/jp2ms.4.3.442-454
Rianasari, V., & Julie, H. (2018). Secondary School Students’ Construction of Knowledge: the Case of Fractions Division. International Journal of Indonesian Education and Teaching, 2(2), 137–146. https://doi.org/10.24071/ijiet.2018.020205
Rønning, F. (2021). Opportunities for language enhancement in a learning environment designed on the basis of the theory of didactical situations. ZDM-Mathematics Education, 53(2), 305–316. https://doi.org/10.1007/s11858-020-01199-x
Singh, P., Hoon, T. S., Nasir, N. A. M., Han, C. T., Rasid, S. M., & Hoong, J. B. Z. (2021). Obstacles Faced by Students in Making Sense of Fractions. The European Journal of Social & Behavioural Sciences, 30(1), 34–51. https://doi.org/10.15405/ejsbs.287
Sollervall, H., & Iglesia, D. G. de la. (2016). Designing a Didactical Situation with Mobile and Web Technologies. CERME9, 2410–2417. https://hal.archives-ouvertes.fr/hal-01289292
Stewart, W. H., Baek, Y., & Lowenthal, P. R. (2022). From emergency remote teaching (ERT) to sustained remote teaching (SRT): A comparative semester analysis of exchange students’ experiences and perceptions of learning online during Covid-19. Online Learning Journal, 26(2), 170–197. https://doi.org/10.24059/olj.v26i2.2661
Sukarma, I. K., Isnawan, M. G., & Alsulami, N. M. (2024). Research on nonroutine problems: A hybrid didactical design for overcoming student learning obstacles. Human Behavior and Emerging Technologies, 2024(Article ID 5552365), 1–12. https://doi.org/10.1155/2024/5552365
Sulistiawati, S., Suryadi, D., & Fatimah, S. (2015). Desain Didaktis Penalaran Matematis untuk Mengatasi Kesulitan Belajar Siswa SMP pada Luas dan Volume Limas. Kreano, Jurnal Matematika Kreatif-Inovatif, 6(2), 135. https://doi.org/10.15294/kreano.v6i2.4833
Suryadi, D. (2019a). Landasan filosofis penelitian desain didaktis (DDR). Pusat Pengembangan DDR Indonesia.
Suryadi, D. (2019b). Penelitian desain didaktis (DDR) dan implementasinya. Gapura Press.
Wahyu, K. (2021). How students understand smaller fractions divided by greater fractions? Beta: Jurnal Tadris Matematika, 14(1), 85–92. https://doi.org/10.20414/betajtm.v14i1.447
Widiawati, W., & Deniansyah, D. (2022). Desain Pembelajaran Penjumlahan dan Pengurangan Pecahan dengan Konteks Kaplet di Kelas VII. Jurnal Ilmiah Soulmath : Jurnal Edukasi Pendidikan Matematika, 10(1), 53–62. https://doi.org/10.25139/smj.v10i1.4552
Zhang, X., Clements, M. A. K., & Ellerton, N. F. (2014). 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
Zhou, L., Li, F., Wu, S., & Zhou, M. (2020). “School’s out, but class’s on”, the largest online education in the world today: Taking China’s practical exploration during the COVID-19 Epidemic prevention and control as an example. Best Evidence in Chinese Education, 4(2), 501–519. https://doi.org/10.15354/bece.20.ar023
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