Junior high school students’ mathematical reasoning skills on integer using PMRI and collaborative learning

Mutia Khoirunnisa, Ratu Ilma Indra Putri

Abstract


Students need to have good mathematical reasoning skills when learning integer material. The utilization of video media and collaborative learning through the PMRI technique can be used in learning activities to improve mathematical reasoning skills. This study aims to determine mathematical reasoning skills after implementing the learning process using video media with the PMRI approach and collaborative learning integer material for class VII students. This study is descriptive research in which participants are pupils in class VII SMP Srijaya Negara Palembang has 23 students (10 females and 13 males). This study consisted of two meetings. The first meeting focused on the learning process using video material with PMRI and collaborative learning. The second meeting was used to test the results. This study employs observational data gathering techniques, written tests, interviews, and descriptive data analysis approaches. The findings of a study are combining video media and the PMRI technique and collaborative learning on integer subjects in class VII. The skills of students in class VII to reason mathematically was discovered. On the subject of excellent integers, SMP Srijaya Negara Palembang students scored an average of 69.61. The sign of creating assumptions appears to be the most frequent in this study, while the indicator of concluding appears to be the least frequent. Students' mathematical thinking skills can be improved by using video media in conjunction with PMRI and Collaborative Learning during the learning process.

Keywords


collaborative learning; mathematical reasoning; PMRI; video media

Full Text:

PDF

References


Afandi, A. (2016). Penalaran deduktif dalam menyelesaikan masalah geometri berdasarkan perbedaan gender. [In order to solve geometric issues based on gender inequalities, deductive reasoning is used]. Education and Human Development Journal, 1(1), 9-21. https://doi.org/10.33086/ehdj.v1i1.284

Ariyanti, P. L., Dantes, N., & Marhaeni, A. A. I. N. (2020). Pengembangan RPP tema keluargaku pada siswa kelas 1 berbasis kecakapan belajar dan berinovasi abad 21 [My family and I developed theme lesson plans for grade 1 pupils that were centered on 21st century learning and innovative skills]. Jurnal Pendidikan Dasar Indonesia, 4(1), 147-158.

Asari, S. (2017). Sharing and jumping task in collaborative teaching and learning process. Jurnal Didaktika, 23(2), 183-188. https://doi.org/10.30587/didaktika.v23i2.28

Febriani, C. (2017). Pengaruh media video terhadap motivasi belajar dan hasil belajar kognitif pembelajaran IPA kelas V [In science class V the impact of video media on learning motivation and cognitive learning outcomes]. Jurnal Prima Edukasia, 5(1), 11-21. https://doi.org/10.21831/jpe.v5i1.8461

Firmadani, F. (2020). Media pembelajaran berbasis teknologi sebagai inovasi pembelajaran era revolusi industri 4.0. [In the era of the fourth industrial revolution, technology-based learning material can be used as a learning innovation]. Konferensi Pendidikan Nasional, 2(1), 93-97. https://ejurnal.mercubuanayogya.ac.id/index.php/Prosiding_ KoPeN/article/ download/1084/660

Furi, U. L. & Mustaji. (2017). Pengembangan media video mata pelajaran komposisi foto

digital bagi siswa kelas XI multimedia di sekolah menengah kejuruan [Video media development for photo composition subjects multimedia in vocational high school for kids in class XI digital media]. Jurnal Kwangsaan, 5(2), 91-100. https://doi.org/10.31800/jtp.kw.v5n2.p91--100

Hidayati, A. S., Eka, P. A., & Henry, P. (2019). Pengembangan media video pembelajaran untuk meningkatkan pemahaman materi gaya kelas IV di SDN Sukoiber 1 Jombang [SDN Sukoiber 1 Jombang developed learning video media to help students better understand class IV level subject]. Jurnal Inovasi dan Teknologi Pembelajaran, 6(1), 45-50. http://dx.doi.org/10.17977/um031v6i12019p045

Inah, E. N. & Utami, A. P. (2017). Penerapan collaborative learning melalui permainan mencari gambar untuk meningkatkan hasil belajar ipa kelas v di SDN Tabanggele kecamatan Anggalomoare kabupaten Konawe [Application of collaborative learning through games looking for pictures to improve science learning outcomes for class v at Tabanggele Elementary School Anggalomoare sub-district, Konawe district]. Jurnal Al Tadib, 10(1), 19-36.

Jannah, R., Zubainur, C. M., & Syahjuzar. (2020). Kemampuan siswa dalam mengajukan dugaan dan manipulasi matematika melalui discovery learning di sekolah menengah Aceh [The ability of students to make assumptions and to manipulate mathematics through the discovery learning model in Aceh middle school]. Jurnal Ilmiah Mahasiswa Pendidikan Matematika, 5(1), 70-78. https://doi.org/10.32672/si.v21i1.1893

Juliawati, E., Sugiatno, & Astuti, D. (2016). Pola penalaran matematis siswa dalam materi bilangan bulat di sekolah menengah pertama [In junior high school, students' mathematical reasoning patterns in the material integers]. . Jurnal Pendidikan dan Pembelajaran Khatulistiwa, 5(5), 1-10. https://jurnal.untan.ac.id/index.php/jpdpb /article/view/15175

Kurniawan, O. & Putri, R. I. I. (2020). Pemecahan masalah matematis siswa kelas VIII menggunakan PMRI dan LSLC pada materi gradien [Using PMRI and LSLC on gradient material to solve mathematics problems for class VII students]. Jurnal Elemen, 6(2), 346-356. https://doi.org/10.29408/jel.v6i2.2214

Lestari, D. & Sardin. (2020). Efektifitas model pembelajaran Knisley terhadap penalaran matematis siswa [The Knisley learning model's usefulness in improving student math reasoning]. Academic Journal of Mathematics Education, 6(1), 49-52. https://ejournal.lppmunidayan.ac.id/index.php/matematika/article/view/195

Lestariningsih & Trismawati, A. (2020). Penerapan pendekatan PMRI pada sistem

persamaan linier tiga variabel [The PMRI method is used to solve a three-variable linear equation problem]. Jurnal Pendidikan Matematika, 11(1), 117-125. https://doi.org/10.36709/jpm.v11i1.10078

Liu, A. (2019). Hipotesis lintasan belajar matematika siswa pendekatan pendidikan matematika realistik indonesia pada siswa kelas VII SMP Negeri Maubeli tahun ajaran 2019/2020 [The educational approach's premise about the student's mathematical learning trajectory for the academic year 2019/2020, Indonesian realistic mathematics will be taught to students in class VII at SMP Negeri Maubeli]. Jurnal Ilmu Pendidikan Matematika, 4(1), 9-15. https://jurnal.unimor.ac.id/JIPM/article/view/706

Mairing, J. P. (2016). Kemampuan mahasiswa pendidikan matematika dalam memecahkan masalah [Students' capacity to solve problems in mathematics education]. Jurnal Edumatica, 6(2), 11-30.

Maulidah, E. (2021). Keterampilan 4C dalam pembelajaran untuk anak usia dini [4C learning skills for early childhood]. Jurnal Pendidikan Anak Usia Dini, 2(1), 52-68.

Meitrilova, A. & Putri, R. I. I. (2020). Learning design using PMRI to teach central tendency materials. Journal of Physics: Conf. Series, 1470(1), 012086. https://doi.org/10.1088/1742-6596/1470/1/012086

Munawaroh, S., Surahmat, & Fathani, A. H. (2019). Kemampuan penalaran dan pemecahan masalah matematis melalui model pembelajaran (air) menggunakan media mind mapping pada materi bilangan bulat kelas VII SMP Shalahuddin Malang [For class VII SMP Salahuddin Malang, the capacity to reason and solve mathematical issues utilizing a learning model (water) and mind mapping media on integer material]. Jurnal Pendidikan dan Profesi Pendidik, 14(8), 91-99. http://riset.unisma.ac.id/index.php/jp3/article/view/4936

Muthy, A. N. & Pujiastuti, H. (2020). Analisis media pembelajaran e-learning melalui pemanfaatan teknologi dalam pembelajaran matematika di rumah sebagai dampak 2019 N-Covid [As a result of the 2019 N-Covid, an analysis of e-learning learning media through the use of technology in learning mathematics at home was conducted]. Jurnal Math Educator Nusantara, 6(1), 94-103. https://doi.org/10.29407/jmen.v6i1.14356

NCTM. (2000). Principles and standars for school mathematics. NCTM. https://www.nctm.org/uploadedFiles/Standards_and_Positions/PSSM_ExecutiveSummary.pdf

Nisa, H., Disman, & Dahlan, D. (2018). Pengaruh penerapan model pembelajaran kolaboratif teknik group investigation terhadap kemampuan berpikir analisis peserta didik [The impact of using the group inquiry technique's collaborative learning model on students' analytical thinking skills]. Jurnal Manajerial, 3(5), 157-166. https://doi.org/10.17509/manajerial.v17i2.10277

OECD. (2019). PISA 2018 Mathematics Framework in PISA 2018 assessment and analytical framework. OECD Publishing. https://www.oecd.org/education/pisa-2018-assesment-and-analytical-framework-b25efab8-en.htm

Octriana, I., Putri, R. I. I., & Nurjannah. (2019). Penalaran matematis siswa dalam pembelajaran pola bilangan menggunakan PMRI dan LSLC [Students' mathematical reasoning in learning number patterns uses PMRI and LSLC. Jurnal Ilmiah Pendidikan Matematika, 13(2), 131-142. https://doi.org/10.22342/jpm.13.2.6714.131-142

Permendikbud. (2016). Permendikbud No 21 Tahun 2016 tentang standar isi pendidikan dasar dan sekolah menengah [Regulation No. 21 of 2016 of the Minister of Education and Culture on content standards for primary and secondary education]. https://bsnpindonesia.org/wpcontent/uploads/2009/06/Permendikbud_Tahun2016_Nomor021_Lampiran.pdf

Permendikbud. (2016). Permendikbud No 22 Tahun 2016 tentang standar isi pendidikan

dasar dan sekolah menengah [Regulation No. 22 of 2016 of the Minister of Education and Culture on educational content standards for elementary and intermediate schools]. https://bsnpindonesia.org/wpcontent/uploads/2009/06/Permendikbud_Tahun2016_Nomor022_Lampiran.pdf

Purwanti, S., Mardiyah, S., & Risnanosanti. (2020). Soal tentang bilangan bulat untuk mengukur kemampuan penalaran matematis [Integer questions are used to assess mathematical reasoning skills]. Jurnal Pendidikan Matematika Raflesia, 5(2), 145-152.

Putri, D. K., Sulianto, J., & Azizah, M. (2019). Kemampuan penalaran matematis ditinjau dari kemampuan pemecahan masalah [In terms of problem-solving skill, mathematical reasoning]. International Jurnal Of Elementari Education, 3(3), 351-357. https://doi.org/10.23887/ijee.v3i3.19497

Putri, R. I. I. (2015). Pengaruh interaksi pendekatan pembelajaran dan bentuk tes formatif terhadap hasil belajar matematika [The impact of combining learning modalities and different types of formative testing on arithmetic learning outcomes]. Jurnal Pendidikan dan Pembelajaran, 22(1), 69-75. http://journal.um.ac.id/index.php/pendidikandan pembelajaran/article/view /7723

Rahayu, P. T. & Putri, R. I. I. (2021). The data package in learning mean using LSLC and PMRI, Jurnal Pendidikan Matematika, 15(1), 61–70. https://doi.org/10.22342/jpm.15.1.9431.61-70

Ramadania, F., Wulandari, N. I., & Nahlini. (2017). Peranan komunikasi bahasa dalam pembelajaran matematika pada siswa kelas V SDN Keraton 3 Martapura [The role of language communication in Mathematics learning in class V SDN Keraton 3 Martapura]. Jurnal Pendidikan Matematika, 3(1), 23-32. https://doi.org/10.33654/math.v3i1.52

Sato, M. (2014). In junior high schools, dialogue and collaboration are used to create a "learning community". JICA.

Sofyana, U. M. & Kusuma, A. B. (2018). Upaya meningkatkan kemampuan penalaran matematis siswa menggunakan pembelajaran generative pada kelas VII SMP Muhammadiyah Kaliwiro [Efforts in class VII SMP Muhammadiyah Kaliwiro to improve pupils' mathematical thinking skills through generative learning]. Jurnal Penelitian Didaktik Matematika, 2(2), 11-23. http://dx.doi.org/10.30659/kontinu.2.1.1429

Suciati, I. (2020). Penggunaan metode “perang mental matematika” dengan menggunakan media kartu pecahan pada materi penjumlahan bilangan pecahan.

[The use of fraction cards in the material for adding fractions as a medium for the "mathematical mental war" method]. Jurnal Pendidikan dan Pembelajaran, 3(1), 35-42. https://doi.org/10.31970/gurutua.v3i1.44

Trisnawati, D., Putri, R. I. I. & Santoso, B. (2015). Desain pembelajaran materi luas permukaan prisma menggunakan pendekatan PMRI bagi siswa kelas VIII [For class VIII students, learning design for prismatic surface area utilizing the PMRI technique]. Jurnal Matematika Kreatif-Inovatif, 6(1), 76-85. https://doi.org/10.15294/kreano.v6i1.4504

Zulkardi & Putri, R. I. I. (2010). Pengembangan blog support untuk membantu siswa dan guru matematika indonesia belajar pendidikan matematika realistik indonesia (PMRI). [Support blog for siswa and guru matematika indonesia to learn real-world matematika indonesia (PMRI)]. Jurnal Penelitian Inovasi dan Perekayasaan Pendidikan, 2(1), 1-24, https://repository.unsri.ac.id/id/eprint/6777




DOI: https://doi.org/10.29408/jel.v8i2.4779

Refbacks

  • There are currently no refbacks.


Copyright (c) 2022 Mutia Khoirunnisa, Ratu Ilma Indra Putri

Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.


 Creative Commons License
Jurnal Elemen is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

View My Stats