PENGEMBANGAN LKPD PEMODELAN MATEMATIKA SISWA SMP PADA MATERI ARITMATIKA

HARDIAN MEI FAJRI(1*), Yusuf Hartono(2), Cecil Hiltrimartin(3),

(1) Universitas Sriwijaya
(2) Universitas Sriwijaya
(3) Universitas Sriwijaya
(*) Corresponding Author


Abstract


Tujuan penelitian ini ialah untuk menghasilkan LKPD pemodelan matematika siswa SMP pada materi aritmatika yang valid, praktis, dan memiliki efek potensial terhadap kemampuan pemodelan matematika siswa. Penelitian ini merupakan penelitian design research tipe development study yang terdiri dari dua tahap, yaitu preliminary dan formative evaluation (self-evaluation, expert reviews, one-to-one, small group, dan field test). Siklus pemodelan yang digunakan pada penelitian ini ialah DISUM-proyek. Subjek penelitian ini adalah siswa kelas IX SMP Negeri 1 Palembang. Teknik analisis data dilakukan secara deskriptif terhadap hasil angket, hasil wawancara, dan hasil tes siswa. Hasil penelitian menunjukan bahwa LKPD yang telah dikembangkan memiliki karakteristik valid berdasarkan hasil expert reviews dan one-to-one, praktis terlihat dari hasil ujicoba small group, serta memiliki efek potensial terhadap kemampuan pemodelan matematika berdasarkan hasil tes siswa setelah dilakukan pembelajaran menggunakan LKPD yang dikembangkan pada tahapan field test. Penilaian hasil tes siswa menunjukan bahwa 93% dengan 62% siswa tergolong kategori sangat baik, 21% siswa tergolong kategori baik, dan 10% siswa tergolong kategori cukup. Hanya 7% yang belum mencapai ketuntasan minimal yang tergolong kedalam kategori kurang.


Keywords


LKPD Berbasis Pemodelan Matematika; Pemodelan DISUM-proyek; Pemodelan Matematika; Pemodelan Pemilihan Trasportasi.

References


Agustina, A., & Zulkardi. (2021). Improving PISA-Like Questions Through Trialmusi Video Context: LRT, Damri and Transmusi. Jurnal Pendidikan Matematika, 15(1), 91-102.

Akker, J. V. (2012). Principles and Method of Development Research. In J. v. Akker, R. M. Branch, K. Gustafson, N. Nieveen, & T. Plomp, Design Approaches and Tools in Education and Training (pp. 1-14). Dordrecht: Springer. doi:doi.org/10.1007/978-94-011-4255-7

Ang, K. C. (2019). Mathematical Modelling for Teachers Resources, Pedagogy and Practice. New York: Routledge.

Anhalt, C. O., Cortez, R., & Bennett, A. B. (2018). The Emergence of Mathematical Modeling Competencies: An Investigation of Prospective Secondary Mathematics Teachers. Mathematical Thinking And Learning, 20(3), 202–221. doi:https://doi.org/10.1080/10986065.2018.1474532

Bliss, K., & Libertini, J. (2016). GAIMME: Guidelines For Assessment & Instruction In Mathematical Modeling Education. United States of America: Consortium for Mathematics and Its Applications COMAP, Inc. & Society for Industrial and Applied Mathematics SIAM.

Blum, W., & Leiß, D. (2007). How do Students and Teachers Deal with Modelling Problems? Mathematical Modelling Education: Engineering and Economics–ICTMA 12 (pp. 222-231). Chichester: Horwood. doi:doi.org/10.1533/9780857099419.5.221

Dawn, N. K. (2018). Towards a professional development framework for mathematical modelling: the case of Singapore teachers. ZDM Mathematics Education, 287–300 . doi:https://doi.org/10.1007/s11858-018-0910-z

Dundar, S., Gokkurt, B., & Soylu, Y. (2012). Mathematical Modelling at a Glance: A Theoretical Study. Procedia - Social and Behavioral Sciences, 3465–3470. doi:DOI:10.1016/j.sbspro.2012.06.086

Ferri, R. B. (2018). Theoretical Competency: For Your Practical Work. Learning How to Teach Mathematical Modelling in School and Teacher Education (pp. 13-38). Switzerland: Springer International Publishing AG. doi:doi.org/10.1007/978-3-319-68072-9

Frejd, P. (2014). Modes of Mathematical Modelling: An analysis of how modelling is used and interpreted in and out of school settings. Sweden: (Doctoral dissertation) Linköping University.

Geiger, V., Galbraith, P., Niss, M., & Delzoppo, C. (2022). Developing a Task Design and Implementation Framework For Fostering Mathematical Modelling Competencies. Educational Studies in Mathematics, 313-336. doi:doi.org/10.1007/s10649-021-10039-y

Geiger, V., Stillman, G., Brown, P. J., Galbraith, P., & Niss, M. (2018). Using mathematics to solve real world problems: the role of enablers. Mathematics Education Research Journal, 30(1), 7-19. doi:10.1007/s13394-017-0217-3

Gravemeijer, K., Stephan, M., Julie, C., Lin, F.-L., & Ohtani, M. (2017). What Mathematics Education May Prepare Students for the Society of the Future? International Journal of Science and Mathematics Education, 105–123. doi:doi.org/10.1007/s10763-017-9814-6

Hartono, Y. (2020). Mathematical Modelling in Problem Solving. Journal of Physics: Conference Series, 1-6. doi:10.1088/1742-6596/1480/1/012001

Hidayati, V. R., Wulandari, N. P., Maulyda, M. A., Erfan, M., & Rosyidah, A. N. (2020). Literasi Matematika Calon Guru Sekolah Dasar Dalam Menyelesaikan Masalah Pisa Konten Shape And Space. JPMI: Jurnal Pembelajaran Matematika Inovatif, 3(3), 185-194.

Hilmi , N., & Sapri. (2022). The Development Of Student Worksheets (LKPD) Based On Islamic Characteristics In Mathematics Fractional Materials In Elementary School. BASICEDU, 6(2), 2222-2230.

Kemendikbud. (2017). Panduan Penilaian Oleh Pendidik Dan Satuan Pendidikan: Sekolah Menengah Pertama. Jakarta: Kementerian Pendidikan dan Kebudayaan Direktorat Pembinaan Sekolah Menengah Pertama.

Kemendikbud. (2022, Agustus 20). Capaian Pembelajaran Pada Pendidikan Anak Usia Dini, Jenjang Pendidikan Dasar, Dan Jenjang Pendidikan Menengah Pada Kurikulum Merdeka. Retrieved from kemdikbud.go.id: https://kurikulum.kemdikbud.go.id/wp-content/unduhan/CP_2022.pdf

Krawitz, J., Chang, Y.-P., Yang, K.-L., & Schukajlow, S. (2022). The role of reading comprehension in mathematical modelling: improving the construction of a real-world model and interest in Germany and Taiwan. Educational Studies in Mathematics, 337–359.

Lesh, R., & Zawojewski, J. S. (2007). Problem Solving and Modeling. In: Lester, F., Ed., Second Handbook of Research on Mathematics Teaching and Learning. Greenwich: NC: Information.

Lisnani. (2019). Pengaruh Penggunaan Konteks Daun terhadap Hasil Belajar Siswa. Mosharafa: Jurnal Pendidikan Matematika, 8(3), 423-433.

Maaß, K. (2007). What do We Want the Students to Learn? In C. G. Haines, Mathematical Modelling in Class. Chichester: Horwood Publishing.

Maaß, K. (2010). Classification Scheme for Modelling Tasks. J Math Didakt, 31, 285–311. doi:doi.org/10.1007/s13138-010-0010-2

Muslimah. (2020). Pentingnya LKPD pada Pendekatan Scientific Pembelajaran Matematika. Social, Humanities, and Educational Studies (SHEs): Conference Series, 3(3), 1471–1479.

Niss, M. (2015). Prescriptive modelling-challenges and opportunities. In G. A. Stillman, W. Blum, & M. S. Biembengut, Mathematical modelling in education, research and practice: Cultural, social, and cognitive influences (pp. 67–79). Cham: Springer.

Niss, M., Blum, W., Galbraith, P. L., & Henn, H. W. (2007). Modelling and Applications in Mathematics Education. The 14th ICMI Study. 10, pp. 3–32. Boston: Springer US. doi:doi.org/10.1007/978-0-387-29822-1_1

Nurdiyanto, T., Hartono, Y., & Indaryanti. (2020). Pengembangan LKPD Materi Trigonometri Berbasis Generative Learning di Kelas X. Jurnal Pendidikan Matematika, 14(1), 51-66.

Ozulu, Y. E. (2021). Investigation of middle school seventh-and eighth-grade students' modelling skills. International Journal of Learning and Teaching, 13(2), 69-93. doi:10.18844/ijlt.v13i2.5742

Pandiangan, L. V., & Zulkarnaen, R. (2021). Keterkaitan Pemodelan Matematis Dalam Penyelesaian Soal Cerita. JPMI: Jurnal Pembelajaran Matematika Inovatif, 4(3), 559-570. doi:10.22460/jpmi.v4i3.559-570

Pelesko, J. A. (2014). Initial Thoughts On The Mathematical Perspective. Proceedings of the 38th Conference of the International Group for the Psychology of Mathematics Education and The 36th Conference of the North American Chapter of the Psychology of Mathematics Education (pp. 145-172). Canada: Springer. Retrieved from )http://www.pme38.com/wp-content/uploads/2014/05/RF-Cai-et-al.pdf

Putri, R. I., & Zulkardi. (2020). Designing Pisa-Like Mathematics Task Usingasian Games Context. Journal on Mathematics Education, 11(1), 135-144.

Ramadhani, R., Farid, F., Lestari, F., & Machmud, A. (2020). Improvement of Creative Thinking Ability through Problem-Based Learning with Local Culture Based on Students’ Gender and Prior Mathematics Ability. Al-Jabar: Jurnal Pendidikan Matematika, 11(1), 61 – 72.

Riyanto, B. (2021). Designing Mathematical Modeling Tasks for Learning Mathematics. 2nd National Conference on Mathematics Education 2021 (NaCoME 2021) (pp. 39-46). Palembang: Atlantis Press.

Riyatuljannah, T., & Fatonah, S. (2021). Analisis Kemampuan Literasi Matematika Siswa Pada Penyelesaian Soal Berorientasi Konten Quantity. EDU-MAT: Jurnal Pendidikan Matematika, 9(1), 59 – 68.

Safrudiannur, & Rott, B. (2019). The different mathematics performances in PISA 2012 and a curricula comparison: enriching the comparison by an analysis of the role of problem solving in intended learning processes. Mathematics Education Research Journal, 175–195.

Saputri, N. N., & Zulkardi. (2022). Pengembangan LKPD Pemodelan Matematika Siswa SMP Menggunakan Konteks Ojek Online . Jurnal Pendidikan Matematika, 14(1), 1-14.

Septian, R., Irianto, S., & Andriani, A. (2019). Pengembangan Lembar Kerja Peserta Didik (Lkpd) Matematika Berbasis Model Realistic Mathematics Education. Jurnal Educatio FKIP UNMA, 5(1), 59-67.

Stillman, G. A., & Brown, J. P. (2019). Lines of Inquiry in Mathematical Modelling Research in Education. Hamburg: Springer Cham. doi:doi.org/10.1007/978-3-030-14931-4

Tan, L. S., & Ang, K. C. (2016). A School-Based Professional Development Programme for Teachers of Mathematical Modelling in Singapore. Journal of Mathematics Teacher Education, 399–432. doi:doi.org/10.1007/s10857-015-9305-z

Tessmer, M. (1993). Planing And Conducting Formative Evaluations: Improving The Quality of Education And Training. London: Kogan page.

Yansen, Putri, R. I., Zulkardi, & Fatimah, S. (2019). Developing Pisa-Like Mathematicsproblems On Uncertainty And Data Using Asian Games Football Context. Journal on Mathematics Education, 10(1), 37-46.

Zulkardi. (2006, April 2). Formative Evaluation: What, Why, When, and How. Retrieved from Online: http://www.geocities.com/ zulkardi/books.html),

Zulkardi, Meryansumayeka, Putri, R. I., Alwi, Z., Nusantara, D. S., Ambarita, S. M., . . . Puspita, L. (2020). How Students Work With Mathematical Tasks Using COVID-19 context. Journal on Mathematics Education, 11(3), 405-416. doi:10.22342/jme.11.3.12915.405-416




DOI: http://dx.doi.org/10.24127/ajpm.v11i4.6248

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