Didactical design for online learning in ordering fractions
DOI:
https://doi.org/10.33830/ijdmde.v1i1.7653Keywords:
Fraction sequences, learning barriers, didactical design research, didactical design for online learningAbstract
During COVID-19, various obstacles were experienced during learning, including in learning mathematics. Learning had to be carried out online. Therefore, learning designs were also attempted to be made online. The learning design in this research was prepared using didactical design research. Participants in this research were 29 students at one of the junior high schools in Indonesia. The researcher was the main instrument in this research, along with several additional instruments, such as the fraction sequence test, interview guide, and online learning design. The data were analyzed using thematic analysis and qualitative analysis. The research results revealed that the factor that caused students to experience obstacles in ordering fractions was due to students’ low prerequisite knowledge regarding LCM (conceptual ontogenic obstacle). The online learning design offered then facilitated students to solidify their understanding of LCM before entering the core learning activities. Online learning design was also developed using the theory of didactical situations. After implementation, information was obtained that the learning obstacles experienced by students had no longer reappeared. Therefore, learning in schools should ensure that students have a good understanding of the prerequisites before starting the core learning activities.
References
Aksoy, N. C., & Yazlik, D. O. (2017). Student errors in fractions and possible causes of these errors. Journal of Education and Training Studies, 5(11), 219–233. https://doi.org/10.11114/jets.v5i11.2679
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
Aylward, R. (2012). The three phases of learning. International Proceedings of Economics Development and Research, 63(15), 32–36. https://doi.org/10.7763/IPEDR
Brousseau, G. (2002). Theory of didactical situations in mathematics. Kluwer Academic Publishers. https://id1lib.org/book/979725/fd6fae
Erol, M. (2021). Determination of 5th grade students strategies in comparing fractions. Acta Didactica Napocensia, 14(1), 17–28. https://doi.org/10.24193/adn.14.1.2
Fitriani, Y., Muhtadi, D., & Setialesmana, D. (2022). Desain pembelajaran materi membandingkan dan mengurutkan pecahan melalui discovery learning berbantuan Geogebra. Lebesgue: Jurnal Ilmiah Pendidikan Matematika, Matematika Dan Statistika, 3(3), 609–623. https://doi.org/10.46306/lb.v3i3
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
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. (2022). Desain didaktis pembelajaran pecahan di SMP Negeri 1 Narmada Kabupaten Lombok Barat [Dissertation]. Universitas Pendidikan Indonesia.
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. (2022a). 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. (2022b). Strategies to minimize students’ learning obstacle in fractions: A grounded theory. Jurnal Pendidikan MIPA, 23(1), 87–99. https://doi.org/10.23960/jpmipa/v23i1.pp87-99
Laurens, T. (2016). Analisis etnomatematika dan penerapannya dalam meningkatkan kualitas pembelajaran. Lemma, 3(1), 86–96. https://media.neliti.com/media/publications/145598-ID-analisis-etnomatematika-dan-penerapannya.pdf
Lee, S. J., & Shin, J. (2015). Distributive partitioning operation in mathematical situations involving fractional quantities. International Journal of Science and Mathematics Education, 13, 329–355. https://doi.org/https://doi.org/10.1007/s10763-013-9478-9
Malone, A. S., & Fuchs, L. S. (2017). Error paterns in ordering fractions among at-risk fourth-grade students. Journal of Learning Disabilities, 176(5), 139–148. https://doi.org/10.1016/j.physbeh.2017.03.040
Manhattan GMAT. (2012). Fraction, decimals, & percents GMAT strategy guide (5th ed.). Mahhattan GMAT. https://www.pdfdrive.com/manhattan-gmat-strategy-guide-1-fractions-decimals-percents-e157181368.html
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
Miftah, R., Kurniawati, L., & Solicha, T. P. (2019). Mengatasi learning obstacle konsep transformasi geometri dengan didactical design research. ALGORITMA Journal of Mathematics Education, 1(2), 156–166.
Miles, M. B., Huberman, A. M., & Saldana, J. (2014). Qualitative data analysis: A methods sourcebook. (3rd ed.). SAGE Publications, Inc. https://id.id1lib.org/book/3593988/83e08f
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
Petit, M. M., Laird, R. E., & Marsden, E. L. (2010). A focus on fractions: Bringing research to the classroom. Routledge. https://id.id1lib.org/book/889851/78871e
Prabowo, A., Suryadi, D., Dasari, D., Juandi, D., & Junaedi, I. (2022). Learning obstacles in the making of lesson plans by prospective mathematics teacher students. Education Research International, 2022, 1–15. https://doi.org/10.1155/2022/2896860
Prasetya, P. L., & Mahmudah, F. N. (2021). Mathematics learning using Zoom cloud meeting during the COVID-19 pandemic for elementary school students. Pedagogik Journal of Islamic Elementary School, 4(1), 45. https://doi.org/10.24256/pijies.v4i1.1776
Sasidharan, S., & Kareem, J. (2023). Student perceptions and experiences in mathematics classrooms: A thematic analysis. International Journal of Innovation in Science and Mathematics Education, 31(2), 47–59. https://doi.org/10.30722/IJISME.31.02.004
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
Sunariah, & Rijal, R. (2017). Analisis kesulitan belajar siswa pada pembelajaran matematika materi pecahan. Primary, 9(1), 93–108. https://repository.uinjkt.ac.id/dspace/bitstream/123456789/73002/1/11160183000075_skripsi%20syifa%20dwi%20insani.pdf
Suryadi, D. (2019a). Landasan filosofis penelitian desain didaktis (DDR). Pusat Pengembangan DDR Indonesia.
Suryadi, D. (2019b). Penelitian desain didaktis (DDR) dan implementasinya. Gapura Press.
The Learning Centres. (2013). Three phases of salvation. https://www.milligazette.com/news/5709-three-phases-of-jinnahs-political-life/
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
Yang, D., & Liu, Y. (2013). Examining the differences on comparing fraction size for 5 th -graders between contextual and numerical problems. Asian Journal of Education and E-Learning, 1(2), 112–117.
Yanti, T. (2020). Using Zoom in distance learning on currency. Workshop Nasional Penguatan Kompetensi Guru Sekolah Dasar 2020, 3(3), 1073–1078. https://jurnal.uns.ac.id/SHES/article/view/46162/29037
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
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