Desain Pembelajaran PMRI Melalui Lesson Study pada Materi Menentukan Luas Permukaan Balok
Abstract
This study aims to produce Student Worksheets 1 and 2 that use the Indonesian Realistic Mathematics Education approach on the material of surface area of ​​the beam that is valid, practical and has a potential effect on the teaching and learning process in the classroom. This study uses a design research method of development studies at the preliminary analysis and formative evaluation stages. In addition, lesson study is also used as a system used during design and implementation in the classroom. The research subjects were 25 students of the Palembang IBA Foundation Elementary School. The results showed that Student Worksheets 1 and 2 which had been designed using the context of wrapping paper were valid, practical and had a potential effect on the learning process in the classroom. In conclusion, the use of Indonesian Realistic Mathematics Education and lesson study at the time of implementation in the form of Student Worksheets with the context of wrapping paper in the classroom has helped students understand the concept of surface area of ​​a block, be able to solve problems and make learning more meaningful.
Keywords: PMRI, Design Research, Lesson Study
References
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Bonotto, C. (2003). About students’ understanding and learning the concept of surface area. In D. H. Clements & G. Bright (Eds.). Learning and teaching measurement (157-168). Reston: NCTM.
Cavanagh, M. (2008). Area measurement in year 7. Educational Studies in Mathematics, 33, 55-58.
Clements, D. H., & Sarama, J. (2011). Early childhood teacher education: The case of geometry. Journal of Mathematics Teacher Education, 14(2), 133–148. https://doi.org/10.1007/s10857-011-9173- 0.
Fauziah, A., Putri R.I.I., Zulkardi, & Somakim. (2017). Primary school student teachers’perception to Pendidikan Matematika Realistik Indonesia (PMRI) instruction. Journal of Physics: Conference Series, 943(1), 012044. https://doi/org/10.1088/1742-6596/943/1/012044.
Fauziah, A., Putri, R. I. I., Zulkardi, Z., & Somakim, S. (2020). Developing PMRI learning environment through lesson study for pre-service primary school teacher. Journal on Mathematics Education (JME) , 11(2), 193-208. https://doi.org/10.22342/jme.11.2.10914.193-208.
Fauziah, A., Putri, R. I. I., & Zulkardi, Z. (2022). Collaborative learning through lesson study in pmri training for primary school pre-service teacher: the simulation of polygon matter. Infinity Journal, 11 (1), 1-16. https://doi.org/10.22460/infinity.v11i1.p1-16.
Gravemeijer, K. (2004). Learning trajectories and local instruction theories as means support for teachers in reform mathematics education. Mathematical Thinking and Learning, 6(2),105 -128.
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Herdiman, I., Nurismadanti, I. F., Rengganis, P., & Maryani, N. (2018). Kemampuan berpikir kritis matematik siswa smp pada materi lingkaran. Prisma, 7(1), 1-10. https://jurnal.unsur.ac.id/prisma
Megawati, M., Wardani, A. K., & Hartatiana, H. (2020). Kemampuan berpikir tingkat tinggi siswa SMP dalam menyelesaikan soal matematika model PISA. Jurnal Pendidikan Matematika, 14(1), 15-24. https://doi.org/10.22342/jpm.14.1.6815.15-24.
Meitrilova, A. & Putri, R.I.I. ( 2020). Learning design using PMRI to teach central tendency materials. Journal of Physics: Conference Series, 1470(1), 012086. https://doi.org/10.1088/1742-[6596/1470/1/012086.
Nursyahidah, F., Saputro, B. A., Albab, I.U., & Aisyah, F. (2020). Pengembangan learning trajectory based instruction materi kerucut menggunakan konteks megono gunungan. Mosharafa: Jurnal Pendidikan Matematika, 9 (1), 47-58. https://doi.org/10.31980/mosharafa.v9i1.560.
Putri, R.I.I., & Zulkardi. (2019). Designing jumping task on percent using PMRI and collaborative learning. International Journal on Emerging Mathematics Education, 3(1), 1-8. https://dx.doi.org/10.12928/ijeme.v3il.12208.
Putri, R.I.I., & Zulkardi, Z. (2020). Designing pisa-like mathematics task using asian games context. Journal on Mathematics Education, 11(1), 135-144. http://doi.org/10.22342/jme.11.1.9786.135-144.
Plomp, T. (2013). Educational Design Research: An Introduction. In J. Van den Akker, B. Bannan, A.E. Kelly, N. Nieveen, & T. Plomp. Educational Design Research, (pp. 10-51). Enschede: SLO.
Romano, D. A. (2017). Prospective B&H elementary school teachers’ understanding of processes with basic geometric concepts. Open Mathematical Education Notes, 7, 29–42. https://doi.org/10.7251/OMEN1701029R.
Saskiah, S.A., & Putri, R.I.I. (2019). Jumping task using the context of kain jumputan on the fractional operation. Journal of Physics: Conference Series, 1315, 012091. https://doi:10.1088/1742-6596/1315/1/012091.
Sato, M. (2014). Dialogue and collaboration in the middle school: A community learning practice [in Bahasa]. Jakarta: Pelita-JICA.
Tessmer. (1993). Planning and conducting formative evaluations : Improving the quality of education and training. London : Kopan Page.
Turidho, A., Putri, R.I.I., Susanti, E., & Johan, M. (2021). Developing PISA-like math tasks on algebra using arabic contexts. Jurnal Pendidikan Matematika, 15(2), 203-216. https://doi.org/10.22342/jpm.15.2.14847.203-216.
Trisnawati, D.1, Putri, R.I.I, & Santoso, B. (2015). Desain pembelajaran materi luas permukaan prisma menggunakan pendekatan PMRI bagi siswa kelas VIII. Kreano : Jurnal Matematika Kreatif-Inovatif, 6(1), 74-81. http://dx.doi.org/10.15294/kreano.v6i1.4504
Zulkardi, & Putri, R.I.I. (2019). New school mathematics curricula, PISA and PMRI in Indonesia. In. C.P. Visto.Yu and T.L.Toh (Eds.), School Mathematics Curricula, Mathematics Education- An Asian Perspective (pp. 39-49). https://doi.org/10.1007/978-981-13-6312-2_3.
Aisah, L. S., Kusnandi, & Kartika, Y. (2016). Desain didaktis konsep luas permukaan dan volume prisma dalam pembelajaran matematika SMP. Mathline: Jurnal Matematika dan Pendidikan Matematika, 1(1), 14-22.
Arini, A., & Putri, R.I.I. (2018). Implementasi kolaborasi siswa materi penjumlahan dan pengurangan bilangan bulat melalui lesson study di kelas VII. Prosiding Seminar Nasional Pendidikan Matematika Ahmad Dahlan 2018, 11-16). Yogyakarta : Universitas Ahmad Dahlan.
Asari, S. (2017). Sharing and jumping task in collaborative teaching and learning process. DIDAKTIKA: Jurnal Pemikiran Pendidikan, 23(2), 184-188. https://doi.org/10.30587/didaktika.v23i2.28.
Awwalin, A. A. (2021). Analisis kesulitan siswa SMP kelas VIII pada materi bangun ruang sisi datar. JPMI – Jurnal Pembelajaran Matematika Inovatif, 4 (1), 225-230. http://doi.ord/10.22460/jpmi.v4i1.225-230.
Bonotto, C. (2003). About students’ understanding and learning the concept of surface area. In D. H. Clements & G. Bright (Eds.). Learning and teaching measurement (157-168). Reston: NCTM.
Cavanagh, M. (2008). Area measurement in year 7. Educational Studies in Mathematics, 33, 55-58.
Clements, D. H., & Sarama, J. (2011). Early childhood teacher education: The case of geometry. Journal of Mathematics Teacher Education, 14(2), 133–148. https://doi.org/10.1007/s10857-011-9173- 0.
Fauziah, A., Putri R.I.I., Zulkardi, & Somakim. (2017). Primary school student teachers’perception to Pendidikan Matematika Realistik Indonesia (PMRI) instruction. Journal of Physics: Conference Series, 943(1), 012044. https://doi/org/10.1088/1742-6596/943/1/012044.
Fauziah, A., Putri, R. I. I., Zulkardi, Z., & Somakim, S. (2020). Developing PMRI learning environment through lesson study for pre-service primary school teacher. Journal on Mathematics Education (JME) , 11(2), 193-208. https://doi.org/10.22342/jme.11.2.10914.193-208.
Fauziah, A., Putri, R. I. I., & Zulkardi, Z. (2022). Collaborative learning through lesson study in pmri training for primary school pre-service teacher: the simulation of polygon matter. Infinity Journal, 11 (1), 1-16. https://doi.org/10.22460/infinity.v11i1.p1-16.
Gravemeijer, K. (2004). Learning trajectories and local instruction theories as means support for teachers in reform mathematics education. Mathematical Thinking and Learning, 6(2),105 -128.
French, D. (2004). Teaching and Learning education. New York : Continuum.
Hanun, A., & Prahmana, R.C.I. (2019). Pembelajaran luas permukaan prisma menggunakan konteks packaging. JRPIPM : Jurnal Riset Pendidikan dan Inovasi Pembelajaran Matematika, 2(2), 70-79. https://journal.unesa.ac.id/index.php/jrpipm.
Herdiman, I., Nurismadanti, I. F., Rengganis, P., & Maryani, N. (2018). Kemampuan berpikir kritis matematik siswa smp pada materi lingkaran. Prisma, 7(1), 1-10. https://jurnal.unsur.ac.id/prisma
Megawati, M., Wardani, A. K., & Hartatiana, H. (2020). Kemampuan berpikir tingkat tinggi siswa SMP dalam menyelesaikan soal matematika model PISA. Jurnal Pendidikan Matematika, 14(1), 15-24. https://doi.org/10.22342/jpm.14.1.6815.15-24.
Meitrilova, A. & Putri, R.I.I. ( 2020). Learning design using PMRI to teach central tendency materials. Journal of Physics: Conference Series, 1470(1), 012086. https://doi.org/10.1088/1742-[6596/1470/1/012086.
Nursyahidah, F., Saputro, B. A., Albab, I.U., & Aisyah, F. (2020). Pengembangan learning trajectory based instruction materi kerucut menggunakan konteks megono gunungan. Mosharafa: Jurnal Pendidikan Matematika, 9 (1), 47-58. https://doi.org/10.31980/mosharafa.v9i1.560.
Putri, R.I.I., & Zulkardi. (2019). Designing jumping task on percent using PMRI and collaborative learning. International Journal on Emerging Mathematics Education, 3(1), 1-8. https://dx.doi.org/10.12928/ijeme.v3il.12208.
Putri, R.I.I., & Zulkardi, Z. (2020). Designing pisa-like mathematics task using asian games context. Journal on Mathematics Education, 11(1), 135-144. http://doi.org/10.22342/jme.11.1.9786.135-144.
Plomp, T. (2013). Educational Design Research: An Introduction. In J. Van den Akker, B. Bannan, A.E. Kelly, N. Nieveen, & T. Plomp. Educational Design Research, (pp. 10-51). Enschede: SLO.
Romano, D. A. (2017). Prospective B&H elementary school teachers’ understanding of processes with basic geometric concepts. Open Mathematical Education Notes, 7, 29–42. https://doi.org/10.7251/OMEN1701029R.
Saskiah, S.A., & Putri, R.I.I. (2019). Jumping task using the context of kain jumputan on the fractional operation. Journal of Physics: Conference Series, 1315, 012091. https://doi:10.1088/1742-6596/1315/1/012091.
Sato, M. (2014). Dialogue and collaboration in the middle school: A community learning practice [in Bahasa]. Jakarta: Pelita-JICA.
Tessmer. (1993). Planning and conducting formative evaluations : Improving the quality of education and training. London : Kopan Page.
Turidho, A., Putri, R.I.I., Susanti, E., & Johan, M. (2021). Developing PISA-like math tasks on algebra using arabic contexts. Jurnal Pendidikan Matematika, 15(2), 203-216. https://doi.org/10.22342/jpm.15.2.14847.203-216.
Trisnawati, D.1, Putri, R.I.I, & Santoso, B. (2015). Desain pembelajaran materi luas permukaan prisma menggunakan pendekatan PMRI bagi siswa kelas VIII. Kreano : Jurnal Matematika Kreatif-Inovatif, 6(1), 74-81. http://dx.doi.org/10.15294/kreano.v6i1.4504
Zulkardi, & Putri, R.I.I. (2019). New school mathematics curricula, PISA and PMRI in Indonesia. In. C.P. Visto.Yu and T.L.Toh (Eds.), School Mathematics Curricula, Mathematics Education- An Asian Perspective (pp. 39-49). https://doi.org/10.1007/978-981-13-6312-2_3.
Published
2022-08-02
Section
Articles
