Case Study Studi Kasus: Metode Pembelajaran Drill Berbantuan Open-Ended Problem untuk Mengembangkan Kemampuan Penalaran Matematis Siswa SMP
Keywords:
Open-ended Problem, Penalaran Matematis
Abstract
Tujuan yang mendasari penulisan artikel ini untuk mengetahui kemampuan penalaran matematis siswa selama proses pembelajaran dengan metode drill (latihan) yang memanfaatkan soal open-ended problems pada materi SPLDV. Subjek penelitian ini adalah 20 siswa kelas VIII SMP Dharma Lestari di Desa Pulutan. Jenis penelitian yang digunakan adalah kualitatif deskriptif dengan desain studi kasus. Teknik pengumpulan data yang digunakan adalah observasi, wawancara, dan tes uraian open-ended problems sebanyak empat soal. Teknik analisis data yang adalah penskoran, siswa yang telah memenuhi indikator akan diberikan skor 1 dan siswa yang belum memenuhi indikator diberikan skor 0. Hasil penelitian menunjukkan bahwa beberapa siswa yang belum memiliki beberapa indikator kemampuan penalaran matematis. Hal ini dapat dilihat pada tabel instrumen penskoran. Hal tersebut diakibatkan siswa kurang teliti dan kurang memahami materi SPLDV yang dijelaskan guru pada pertemuan sebelumnya.
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References
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Creswell, J. W. (2021). Research Design Pendekatan Metode Kualitatif, Kuantitatif, dan Campuran. Pustaka Pelajar.
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Firdausy, A. R., Triyanto, & Indriati, D. (2021). Creative Thinking Based on Mathematical Reasoning Ability in Solving Geometry Problems in High School. Proceedings of the International Conference of Mathematics and Mathematics Education, 597, 14–24.
Fransiska, C., Masykur, R., & Putra, F. G. (2019). Analisis Kemampuan Pemecahan Masalah Matematis : Dampak Metode Drill ditinjau dari Gaya Belajar. Desimal: Jurnal Matematika, 2(2), 131–140. https://doi.org/10.24042/djm.v2i2.4147
Gita, T. I. P., & Marlina, R. (2019). Kemampuan Penalaran Matematis Siswa Kelas IX Pada Materi Persamaan Linear Dua Variabel (SPLDV). Prosiding Seminar Nasional Matematika Dan Pendidikan Matematika Sesiomadika 2019, 1045–1051.
Hadi, A. (2019). Peningkatan Hasil Belajar Matematika melalui Strategi Interaktif dengan Menggunakan Metode Pembelajaran Drill pada Siswa Kelas XI MIPA 6 SMA Negeri 16 Makassar. EQUALS Jurnal Ilmiah Pendidikan Matematika, 2(2), 53–61. http://ejournals.umma.ac.id/index.php/equals/article/view/375
Hamidah, Junaedi, I., Mulyono, & Kusuma, J. W. (2021). Kurikulum dan Pembelajaran Matematika di Jepang dan di Indonesia. Jurnal Pendidikan Matematika, 7(2), 153–167.
Hasanah, S. I., Tafrilyanto, C. F., & Aini, Y. (2019). Mathematical Reasoning : The characteristics of students ’ mathematical abilities in problem solving Mathematical. IOP Conference. https://doi.org/10.1088/1742-6596/1188/1/012057
Kusumawati, E., & Irwanto, R. A. (2016). Penerapan Metode Pembelajaran Drill untuk Meningkatkan Kemampuan Pemecahan Masalah Matematis Siswa Kelas VIII SMP. EDU-MAT, 4(April), 49–57.
Mandasari, N. (2021). Problem-based learning model to improve mathematical reasoning ability. Journal of Physics: Conference Series, 1731(1). https://doi.org/10.1088/1742-6596/1731/1/012041
Maryani, A., & Setiawan, W. (2021). Analisis Kesulitan Peserta Didik Kelas VIII dalam Menyelesaikan Soal Sistem Persamaan Linear Dua Variabel (SPLDV) di MTs Atsauri Sindangkerta. Jurnal Cendekia : Jurnal Pendidikan Matematika, 5(3), 2619–2627. https://doi.org/10.31004/cendekia.v5i3.915
Meidiana, S., Nyimas, A., Indaryanti, & Pratiwi, W. D. (2021). Investigating Student’s Mathematical Reasoning Ability by Using PMRI Based on Emergent Modeling. Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020), 550(Icmmed 2020), 339–344. https://doi.org/10.2991/assehr.k.210508.085
Melani, F., & Sutirna. (2019). Analisis kemampuan penalaran matematis siswa smp kelas viii pada materi relasi dan fungsi. Prosiding Seminar Nasional Matematika Dan Pendidikan Matematika Sesiomadika, 188–193.
Muhammad, G. M. (2017). PADA MATA KULIAH STRUKTUR ALJABAR II. Jurnal PRISMA Universitas Suryakancana, VI(1), 66–78.
Mumu, J., & Tanujaya, B. (2019). Measure reasoning skill of mathematics students. International Journal of Higher Education, 8(6), 85–91. https://doi.org/10.5430/ijhe.v8n6p85
Muslimin, & Sunardi. (2019). Analisis Kemampuan Penalaran Matematika Siswa SMA pada Materi Geometri Ruang. Kreano, 10(2), 171–178.
Novianda, D., Darhim, & Prabawanto, S. (2021). Analysis of students’ mathematical reasoning ability in geometry through distance learning. Journal of Physics: Conference Series, 1882(1). https://doi.org/10.1088/1742-6596/1882/1/012085
Perwitasari, D., & Surya, E. (2017). The Development of Learning Material Using Problem Based Learning to Improve Mathematical Communication Ability of Secondary School Students. International Journal of Sciences: Basic and Applied Research (IJSBAR) International Journal of Sciences: Basic and Applied Research, 33(3), 200–207. http://gssrr.org/index.php?journal=JournalOfBasicAndApplied
Pratiwi, N., Aisyah, N., Susanti, E., & Pratiwi, W. D. (2021). Analysis of Junior High School Student’s Mathematical Reasoning Ability in Solving Non-routine Problems on Material of Two-variable Linear Equation Systems. Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020), 550(Icmmed 2020), 318–326. https://doi.org/10.2991/assehr.k.210508.082
Purnamasari, M., Isman, J., Damayanti, A., & Ismah. (2017). Upaya Meningkatkan Hasil Belajar Matematika Terhadap Konsep Bangun Ruang materi luas dan volume balok dan kubus menggunakan metode drill sekolah smp islam al-ghazali kelas viii. FIBONACI : Jurnal Pendidikan Matematika & Matematika, 3(1), 45–52.
Purwaningtyas, K. (2019). PENALARAN SISWA SMP TERHADAP SOAL GEOMETRI TIPE. APOTEMA: Jurnal Program Studi Pendidikan Matematika, 5(2), 95–102.
Putri, A. A., & Isnaningrum, I. (2021). Analisis Kemampuan Penalaran Matematis Pada Materi Sistem Persamaan Linear Dua Variabel. Diskusi Panel Nasional …, 10, 201–210. http://www.proceeding.unindra.ac.id/index.php/DPNPMunindra/article/view/5523
Ratnasari, G. I., & Abadi, A. M. (2018). Investigating mathematical literacy, mathematical reasoning skill, and self esteem of a public high school. Journal of Physics: Conference Series, 1097(1). https://doi.org/10.1088/1742-6596/1097/1/012096
Rizqi, N. R., & Surya, E. (2017). AN ANALYSIS OF STUDENTS ’ MATHEMATICAL REASONING ABILITY IN VIII GRADE OF SABILINA TEMBUNG JUNIOR. IJARIIE, 3(2), 3527–3533.
Rusyani, E., Ratnengsih, E., Putra, A. S., Maryanti, R., Fitria, D., Husaeni, A., & Ragadhita,
R. (2022). Indonesian Journal of Community and The Drilling Method Application Using Abacus to Arithmetic Operations Skills in Student with Hearing Impairment at Special School. 2(1), 1–10.
Saleh, M., Charitas, R., Prahmana, I., & Isa, M. (2018). Improving the Reasoning Ability of Elementary School Student Through the Indonesian Realistic. Journal on Mathematics Education, 9(1), 41–54. https://ejournal.unsri.ac.id/index.php/jme/article/view/5049
Santoso, A. S. (2013). Pengaruh Pemberian Soal Open-Ended Terhadap Kemampuan Penalaran Matematis Siswa. Kreano, Jurnal Matematika Kreatif-Inovatif, 4(2), 138–150. https://doi.org/10.15294/kreano.v4i2.3138
Saputri, I., Susanti, E., & Aisyah, N. (2017). Kemampuan Penalaran Matematis Siswa Menggunakan Pendekatan Metaphorical Thinking pada Materi Perbandingan Kelas VIII di SMPN 1 Indralaya Utara. Jurnal Elemen, 3(1), 15. https://doi.org/10.29408/jel.v3i1.302
Selvia, S., Rochmatin, T., & Zanthy, L. S. (2019). Analisis Kemampuan Pemecahan Masalah Dan Kemampuan Penalaran Matematik Siswa Smp Pada Materi Spldv. JPMI (Jurnal Pembelajaran Matematika Inovatif), 2(5), 261. https://doi.org/10.22460/jpmi.v2i5.p261-270
Sutarsih, N. W. (2020). Penerapan Model Pembelajaran Direct Instruction Dengan Metode Drill Guna Meningkatkan Prestasi Belajar Matematika Siswa Kelas IX E Semester I SMP Negeri 1 Tampaksiring Tahun Pelajaran 2018/2019. Widyadari, 27(27), 1–13.
Suyitno, A., Suyitno, H., Rochmad, & Dwijanto. (2017). Use of open-ended problems as the basis for the mathematical creativity growth disclosure of student. International Conference on Mathematics, Science, and Education, 0–5. https://doi.org/10.1088/1742-6596/983/1/012110
Tambunan, H. (2018). Impact of Heuristic Strategy on Students’ Mathematics Ability in High Order Thinking. International Electronic Journal of Mathematics Education, 13(3), 321–328. https://doi.org/10.12973/iejme/3928
Tao, L., & Cheng, J. (2021). The application of discrete mathematics to microeconomics. Journal of Physics: Conference Series, 1955(1). https://doi.org/10.1088/1742-6596/1955/1/012046
Wahyuni, E. S., Hadi, A. F., Subekti, F. E., Simanjuntak, E., & Hutabarat, H. D. M. (2019). Gender and mathematical reasoning ability. https://doi.org/10.1088/1742-6596/1157/4/042109
Yayuk, E. (2019). Pembelajaran Matematika SD. Universitas Muhammadiyah Malang.
Yusuf, A., & Fitriani, N. (2020). Analisis kesalahan siswa smp dalam menyelesaikan soal persamaan linear dua variabel di SMPN 1 campaka mulya-cianjur. Jurnal Pembelajaran Matematika Inovatif, 3(1), 59–68. https://doi.org/10.22460/jpmi.v3i1.p59-68.
Creswell, J. W. (2021). Research Design Pendekatan Metode Kualitatif, Kuantitatif, dan Campuran. Pustaka Pelajar.
Fadillah, A. (2019). Analisis Kemampuan Penalaran Deduktif Matematis Siswa. JTAM | Jurnal Teori Dan Aplikasi Matematika, 3(1), 15. https://doi.org/10.31764/jtam.v3i1.752
Firdausy, A. R., Triyanto, & Indriati, D. (2021). Creative Thinking Based on Mathematical Reasoning Ability in Solving Geometry Problems in High School. Proceedings of the International Conference of Mathematics and Mathematics Education, 597, 14–24.
Fransiska, C., Masykur, R., & Putra, F. G. (2019). Analisis Kemampuan Pemecahan Masalah Matematis : Dampak Metode Drill ditinjau dari Gaya Belajar. Desimal: Jurnal Matematika, 2(2), 131–140. https://doi.org/10.24042/djm.v2i2.4147
Gita, T. I. P., & Marlina, R. (2019). Kemampuan Penalaran Matematis Siswa Kelas IX Pada Materi Persamaan Linear Dua Variabel (SPLDV). Prosiding Seminar Nasional Matematika Dan Pendidikan Matematika Sesiomadika 2019, 1045–1051.
Hadi, A. (2019). Peningkatan Hasil Belajar Matematika melalui Strategi Interaktif dengan Menggunakan Metode Pembelajaran Drill pada Siswa Kelas XI MIPA 6 SMA Negeri 16 Makassar. EQUALS Jurnal Ilmiah Pendidikan Matematika, 2(2), 53–61. http://ejournals.umma.ac.id/index.php/equals/article/view/375
Hamidah, Junaedi, I., Mulyono, & Kusuma, J. W. (2021). Kurikulum dan Pembelajaran Matematika di Jepang dan di Indonesia. Jurnal Pendidikan Matematika, 7(2), 153–167.
Hasanah, S. I., Tafrilyanto, C. F., & Aini, Y. (2019). Mathematical Reasoning : The characteristics of students ’ mathematical abilities in problem solving Mathematical. IOP Conference. https://doi.org/10.1088/1742-6596/1188/1/012057
Kusumawati, E., & Irwanto, R. A. (2016). Penerapan Metode Pembelajaran Drill untuk Meningkatkan Kemampuan Pemecahan Masalah Matematis Siswa Kelas VIII SMP. EDU-MAT, 4(April), 49–57.
Mandasari, N. (2021). Problem-based learning model to improve mathematical reasoning ability. Journal of Physics: Conference Series, 1731(1). https://doi.org/10.1088/1742-6596/1731/1/012041
Maryani, A., & Setiawan, W. (2021). Analisis Kesulitan Peserta Didik Kelas VIII dalam Menyelesaikan Soal Sistem Persamaan Linear Dua Variabel (SPLDV) di MTs Atsauri Sindangkerta. Jurnal Cendekia : Jurnal Pendidikan Matematika, 5(3), 2619–2627. https://doi.org/10.31004/cendekia.v5i3.915
Meidiana, S., Nyimas, A., Indaryanti, & Pratiwi, W. D. (2021). Investigating Student’s Mathematical Reasoning Ability by Using PMRI Based on Emergent Modeling. Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020), 550(Icmmed 2020), 339–344. https://doi.org/10.2991/assehr.k.210508.085
Melani, F., & Sutirna. (2019). Analisis kemampuan penalaran matematis siswa smp kelas viii pada materi relasi dan fungsi. Prosiding Seminar Nasional Matematika Dan Pendidikan Matematika Sesiomadika, 188–193.
Muhammad, G. M. (2017). PADA MATA KULIAH STRUKTUR ALJABAR II. Jurnal PRISMA Universitas Suryakancana, VI(1), 66–78.
Mumu, J., & Tanujaya, B. (2019). Measure reasoning skill of mathematics students. International Journal of Higher Education, 8(6), 85–91. https://doi.org/10.5430/ijhe.v8n6p85
Muslimin, & Sunardi. (2019). Analisis Kemampuan Penalaran Matematika Siswa SMA pada Materi Geometri Ruang. Kreano, 10(2), 171–178.
Novianda, D., Darhim, & Prabawanto, S. (2021). Analysis of students’ mathematical reasoning ability in geometry through distance learning. Journal of Physics: Conference Series, 1882(1). https://doi.org/10.1088/1742-6596/1882/1/012085
Perwitasari, D., & Surya, E. (2017). The Development of Learning Material Using Problem Based Learning to Improve Mathematical Communication Ability of Secondary School Students. International Journal of Sciences: Basic and Applied Research (IJSBAR) International Journal of Sciences: Basic and Applied Research, 33(3), 200–207. http://gssrr.org/index.php?journal=JournalOfBasicAndApplied
Pratiwi, N., Aisyah, N., Susanti, E., & Pratiwi, W. D. (2021). Analysis of Junior High School Student’s Mathematical Reasoning Ability in Solving Non-routine Problems on Material of Two-variable Linear Equation Systems. Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020), 550(Icmmed 2020), 318–326. https://doi.org/10.2991/assehr.k.210508.082
Purnamasari, M., Isman, J., Damayanti, A., & Ismah. (2017). Upaya Meningkatkan Hasil Belajar Matematika Terhadap Konsep Bangun Ruang materi luas dan volume balok dan kubus menggunakan metode drill sekolah smp islam al-ghazali kelas viii. FIBONACI : Jurnal Pendidikan Matematika & Matematika, 3(1), 45–52.
Purwaningtyas, K. (2019). PENALARAN SISWA SMP TERHADAP SOAL GEOMETRI TIPE. APOTEMA: Jurnal Program Studi Pendidikan Matematika, 5(2), 95–102.
Putri, A. A., & Isnaningrum, I. (2021). Analisis Kemampuan Penalaran Matematis Pada Materi Sistem Persamaan Linear Dua Variabel. Diskusi Panel Nasional …, 10, 201–210. http://www.proceeding.unindra.ac.id/index.php/DPNPMunindra/article/view/5523
Ratnasari, G. I., & Abadi, A. M. (2018). Investigating mathematical literacy, mathematical reasoning skill, and self esteem of a public high school. Journal of Physics: Conference Series, 1097(1). https://doi.org/10.1088/1742-6596/1097/1/012096
Rizqi, N. R., & Surya, E. (2017). AN ANALYSIS OF STUDENTS ’ MATHEMATICAL REASONING ABILITY IN VIII GRADE OF SABILINA TEMBUNG JUNIOR. IJARIIE, 3(2), 3527–3533.
Rusyani, E., Ratnengsih, E., Putra, A. S., Maryanti, R., Fitria, D., Husaeni, A., & Ragadhita,
R. (2022). Indonesian Journal of Community and The Drilling Method Application Using Abacus to Arithmetic Operations Skills in Student with Hearing Impairment at Special School. 2(1), 1–10.
Saleh, M., Charitas, R., Prahmana, I., & Isa, M. (2018). Improving the Reasoning Ability of Elementary School Student Through the Indonesian Realistic. Journal on Mathematics Education, 9(1), 41–54. https://ejournal.unsri.ac.id/index.php/jme/article/view/5049
Santoso, A. S. (2013). Pengaruh Pemberian Soal Open-Ended Terhadap Kemampuan Penalaran Matematis Siswa. Kreano, Jurnal Matematika Kreatif-Inovatif, 4(2), 138–150. https://doi.org/10.15294/kreano.v4i2.3138
Saputri, I., Susanti, E., & Aisyah, N. (2017). Kemampuan Penalaran Matematis Siswa Menggunakan Pendekatan Metaphorical Thinking pada Materi Perbandingan Kelas VIII di SMPN 1 Indralaya Utara. Jurnal Elemen, 3(1), 15. https://doi.org/10.29408/jel.v3i1.302
Selvia, S., Rochmatin, T., & Zanthy, L. S. (2019). Analisis Kemampuan Pemecahan Masalah Dan Kemampuan Penalaran Matematik Siswa Smp Pada Materi Spldv. JPMI (Jurnal Pembelajaran Matematika Inovatif), 2(5), 261. https://doi.org/10.22460/jpmi.v2i5.p261-270
Sutarsih, N. W. (2020). Penerapan Model Pembelajaran Direct Instruction Dengan Metode Drill Guna Meningkatkan Prestasi Belajar Matematika Siswa Kelas IX E Semester I SMP Negeri 1 Tampaksiring Tahun Pelajaran 2018/2019. Widyadari, 27(27), 1–13.
Suyitno, A., Suyitno, H., Rochmad, & Dwijanto. (2017). Use of open-ended problems as the basis for the mathematical creativity growth disclosure of student. International Conference on Mathematics, Science, and Education, 0–5. https://doi.org/10.1088/1742-6596/983/1/012110
Tambunan, H. (2018). Impact of Heuristic Strategy on Students’ Mathematics Ability in High Order Thinking. International Electronic Journal of Mathematics Education, 13(3), 321–328. https://doi.org/10.12973/iejme/3928
Tao, L., & Cheng, J. (2021). The application of discrete mathematics to microeconomics. Journal of Physics: Conference Series, 1955(1). https://doi.org/10.1088/1742-6596/1955/1/012046
Wahyuni, E. S., Hadi, A. F., Subekti, F. E., Simanjuntak, E., & Hutabarat, H. D. M. (2019). Gender and mathematical reasoning ability. https://doi.org/10.1088/1742-6596/1157/4/042109
Yayuk, E. (2019). Pembelajaran Matematika SD. Universitas Muhammadiyah Malang.
Yusuf, A., & Fitriani, N. (2020). Analisis kesalahan siswa smp dalam menyelesaikan soal persamaan linear dua variabel di SMPN 1 campaka mulya-cianjur. Jurnal Pembelajaran Matematika Inovatif, 3(1), 59–68. https://doi.org/10.22460/jpmi.v3i1.p59-68.
Published
2022-02-15
How to Cite
Faroh, A., Dewi, N., & Rochmad, R. (2022). Case Study Studi Kasus: Metode Pembelajaran Drill Berbantuan Open-Ended Problem untuk Mengembangkan Kemampuan Penalaran Matematis Siswa SMP. Jurnal Cendekia : Jurnal Pendidikan Matematika, 6(1), 898-909. https://doi.org/10.31004/cendekia.v6i1.1192
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Articles
Copyright (c) 2022 Arina Ulil Faroh, Nurjana Rachmani Dewi, Rochmad Rochmad
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