jurnal problem solving matematika

Oking Leonata Yusuf Universitas Lampung Indonesia

Sugeng Sutiarso Universitas Lampung Indonesia

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PROBLEM SOLVING DALAM PEMBELAJARAN MATEMATIKA

Bey, A., & Asriani. (2013). Dipetik April 3, 2017, dari Penerapan Pembelajaran Problem Solving untuk Meningkatkan Aktivitas dan Hasil Belajar Matematika pada Materi SPLDV. : http://118.97.35.230/lemlit/jtt/219.pdf

Hadi, S. d. (2014). Metode Pemecahan Masalah Menurut Polya Untuk Mengembangkan Kemampuan Siswa Dalam Pemecahan Masalah Matematis Di Sekolah Menengah Pertama. EDU-MAT Jurnal Pendidikan Matematika. Vol 2, No.1 , 53 - 61.

Hariyanti. (2010). Penerapan Model Pembelajaran Problem Solving Sebagai Upaya Untuk Meningkatkan Keaktifan Dan Prestasi Belajar Siswa Kelas Vii Mata Pelajaran Ips Terpadu Smp Negeri 2 Jatiyoso Tahun Ajaran 2009/2010. SKRIPSI Universitas Sebelas Maret Surakarta. Solo: Universitas Sebelas Maret Surakarta.

Hasratuddin. (2013). Membangun Karakter Melalui Pembelajaran Matematika. Jurnal Pendidikan Matematika Paradikma, Vol 6, No. 2. , 130-141.

Indarwati, D., & dkk. (2014). Peningkatan Kemampuan Pemecahan Masalah Matematika Melalui Penerapan Problem Based Learning Untuk Siswa Kelas V SD. Jurnal Penelitian Pengembangan Kependidikan. Vol 30, No.1. , 17-27.

Istiqoma, F., & Rusdi, A. (2015). Pengaruh Penerapan Metode Problem Solving Pada Mata Pelajaran Matematika Materi Pecahan Terhadap Hasil Belajar Siswa Kelas III Di Madrasah Ibtidaiyah Muhajirin Palembang. Vol 1, No.2. , 248-275.

Marlina, L. (2013). Penerapan Langkah Polya Dalam Menyelesaikan Soal Cerita Keliling Dan Luas Persegipanjang. . Vol 1, No.1 , 43-52.

Mawaddah, S., & Anisah, H. (2015). Kemampuan Pemecahan Masalah Matematis Siswa Pada Pembelajaran Matematika Dengan Menggunakan Model Pembelajaran Generatif (Generative Learning) Di Smp. . EDU-MAT Jurnal Pendidikan Matematika, Vol 3, No.2. , 166–175.

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Udin, T., & Dkk. (2014). Pengaruh Penerapan Metode Problem Solving Terhadap Hasil Belajar Siswa Mata Pelajaran Matematika Pokok Bahasan Pecahan Pada Siswa Kelas IV SD Negeri Logok 1 Kabupaten Indramayu. Dipetik April 3, 2017, dari Pengaruh Penerapan Metode Problem Solving Terhadap Hasil Belajar Siswa Mata Pelajaran Matematika Pokok Bahasan Pecahan Pada Siswa Kelas IV SD Negeri Logok 1KabupatenIndramayu.: http://www.syekhnurjati.ac.id/jurnal/index.php/ibtida/article/download/458/402

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Enhancing Mathematical Problem-Solving Skills of Indonesian Junior High School Students through Problem-Based Learning: a Systematic Review and Meta-Analysis

Many researchers have conducted previous meta-analysis studies regarding problem-based learning (PBL) to enhance problem-solving skills. However, their research does not focus on mathematical problem-solving skills (MPSS). This study aims to summarize, estimate, and evaluate PBL implementation's effect in enhancing the MPSS of Indonesian junior high school (JHS) students and investigate the study characteristics that affect the heterogeneous effect size data. Twenty-nine relevant primary studies published in national and international journals and proceedings during 2011 – 2020 were analyzed using the systematic review and meta-analysis. The analysis tool used the Comprehensive Meta-Analysis (CMA) software by selecting the formula of Hedge to determine its effect size. The result showed that the overall PBL implementation had a medium positive effect (g = 0,743; p less than 0,05), significantly enhancing the MPSS of Indonesian JHS students based on the random effect model. Also, the characteristics of sample size, research area, sampling technique, and publication year did not affect the heterogeneous effect size data. These results suggest that Indonesian JHS mathematics teachers should select PBL as one of the best solutions in implementing mathematics learning in the classroom to enhance students' MPSS.

Afrilia, R., Sutiarso, S., & Yunarti, T. (2014). Pengaruh model problem-based learning terhadap kemampuan pemecahan masalah matematis siswa. Jurnal Pendidikan Matematika Universitas Lampung, 4(1), 1–9. https://jurnal.fkip.unila.ac.id/index.php/MTK/article/view/6226%0A

Amperawan, I. W., Pujawan, I. G. N., & Suarsana, I. M. (2018). Komparasi kemampuan pemecahan masalah matematika antara PMR dan PBM pada materi geometri SMP kelas VII. FIBONACCI: Jurnal Pendidikan Matematika Dan Matematika, 4(1), 47–60.

Aprianti, D., Harman, H., & Yarmayani, A. (2018). Perbandingan kemampuan pemecahan masalah matematis melalui model pembelajaran problem-based learning (PBL) dan model pembelajaran langsung pada siswa kelas VIII SMPN 22 Batanghari. Phi: Jurnal Pendidikan Matematika, 2(2), 94–99.

Astriani, N., Surya, E., & Syahputra, E. (2017). The effect of problem-based learning to students’ mathematical problem-solving ability. IJARIIE, 3(2), 3441–3446. https://www.researchgate.net/publication/318562413%0A

Ayu, R., Nurrahmawati, N., & Deswita, H. (2016). Pengaruh model pembelajaran problem-based learning (PBL) terhadap kemampuan pemecahan masalah matematika pada siswa kelas VII SMPN 3 Rambah Samo. Jurnal Mahasiswa FKIP Universitas Pasir Pangaraian, 2(2), 1–3. https://media.neliti.com/media/publications/110789-ID-pengaruh-penerapan-model-pembelajaran-pr.pdf

Batdi, V. (2014). A meta-analysis study comparing problem-based learning with traditional instruction. Electronic Journal of Social Sciences, 13(51), 346–364.

Bernard, R. M., Borokhovski, E., Schmid, R. F., Tamim, R. M., & Abrami, P. C. (2014). A meta-analysis of blended learning and technology use in higher education: From the general to the applied. Journal of Computing in Higher Education, 26(1), 87–122.

Borenstein, M., Hedges, L. V., Higgins, J. P. T., & Rothstein, H. R. (2009). Introduction to meta-analysis. John Willey and Son Ltd.

Cleophas, T. J., & Zwinderman, A. H. (2017). Modern meta-analysis: Review and update of methodologies. Springer International Publishing.

Cooper, H. M., Patall, E. A., & Lindsay, J. J. (2013). Research synthesis and meta-analysis. In L. Bickman & D. J. Rog (Eds.), The SAGE handbook of applied social research methods (pp. 344–370). Sage Publications Inc.

Cumming, G. (2012). Understanding the new statistics: Effect sizes, confidence intervals, and meta-analysis. Routledge Taylor & Francis Group.

Demirel, M., & Dağyar, M. (2016). Effects of problem-based learning on attitude: A meta-analysis study. EURASIA Journal of Mathematics, Science and Technology Education, 12(8), 2115–2137.

Dochy, F., Segers, M., Van den Bossche, P., & Gijbels, D. (2003). Effects of problem-based learning: A meta-analysis. Learning and Instruction, 13(5), 533–568.

Elita, G. S., Habibi, M., Putra, A., & Ulandari, N. (2019). Pengaruh pembelajaran problem-based learning dengan pendekatan metakognisi terhadap kemampuan pemecahan masalah matematis. Mosharafa: Jurnal Pendidikan Matematika, 8(3), 447–458. https://journal.institutpendidikan.ac.id/index.php/mosharafa/article/view/mv8n3_9%0A

Ferdianto, F., Caswita, C., & Asnawati, R. (2018). Pembelajaran berbasis masalah dengan strategi metakognitif dalam meningkatkan kemampuan pemecahan masalah matematis. Jurnal Pendidikan Matematika Universitas Lampung, 6(1), 1–13. http://jurnal.fkip.unila.ac.id/index.php/MTK/article/view/14765%0A

Furuya-Kanamori, L., & Doi, S. A. R. (2020). Publication bias. In S. Khan (Ed.), Meta-analysis: Methods for health and experimental studies (p. 293). Springer Nature Singapore Pte Ltd.

Glass, G. V., McGaw, B., and Smith, M. L. (1981). Meta-analysis in social research. London: Sage Publication Inc.

Harwell, M. (2020). Growth in the amount of literature reviewed in a meta-analysis and reviewer resources. Mid-Western Educational Researcher, 32(1), 31 - 47.

Higgins, J. P. T., Thompson, S. G., Deeks, J. J., & Altman, D. G. (2003). Measuring inconsistency in meta-analysis. British Medical Journal, 327, 557–560.

Hirça, N. (2011). Impact of problem-based learning to students and teachers. Asia-Pacific Forum on Science Learning and Teaching, 12(1), 1–19. https://www.eduhk.hk/apfslt/download/v12_issue1_files/hirca.pdf

Hmelo-Silver, C. E. (2004). Problem-based learning: What and how do students learn? Educational Psychology Review, 16(3), 235–266.

Hobri, Ummah, I. K., Yuliati, N., & Dafik. (2020). The effect of jumping task based on creative problem solving on students’ problem solving ability. International Journal of Instruction, 13(1), 387–406.

Hung, W. (2015). Problem-based learning: Conception, practice, and future. In Authentic problem-solving and learning in the 21st century (pp. 75–92). Springer.

Hunter, J. E., & Schmidt, F. L. (2004). Methods of meta-analysis: Correcting error and bias in research findings (2nd ed.). Sage Publications Inc. http://library1.nida.ac.th/termpaper6/sd/2554/19755.pdf

Ince, E. (2018). An overview of problem-solving studies in physics education. Journal of Education and Learning, 7(4), 191–200. https://doi.org/10.5539/jel.v7n4p191

Inel, D., & Balim, A. G. (2010). The effects of using problem-based learning in science and technology teaching upon students’ academic achievement and levels of structuring concepts. Asia-Pacific Forum on Science Learning and Teaching, 11(2), 1–23. https://www.eduhk.hk/apfslt/download/v11_issue2_files/inel.pdf

Kadir, K., Milama, B., & Khairunnisa, K. (2013). Meta-analisis efektivitas pendekatan problem-solving dalam pembelajaran sains dan metametika. Lembaga Penelitian UIN Syarif Hidayatullah.

Karatas, I., & Baki, A. (2013). The effect of learning environments based on problem-solving on students’ achievements of problem-solving. International Electronic Journal of Elementary Education, 5(3), 249–267. https://files.eric.ed.gov/fulltext/EJ1068620.pdf

Khayroiyah, S., & Ramadhani, R. (2018). Peningkatan kemampuan pemecahan masalah pada soal cerita matematika menggunakan model PBL berbasis media realistik. 1(2), 12–17. https://jurnal.pascaumnaw.ac.id/index.php/JMN/article/view/44%0A

Laili, H. (2019). Keefektifan pembelajaran dengan menggunakan pendekatan PBL dan CTL ditinjau dari kemampuan pemecahan masalah dan motivasi belajar. As-Sabiqun: Jurnal Pendidikan Islam Anak Usia Dini, 1(1), 125–141.

Lestari, P. D., Dwijanto, D., & Hendikawati, P. (2016). Keefektifan model problem-based learning dengan pendekatan saintifik terhadap kemampuan pemecahan masalah dan kemandirian belajar peserta didik kelas VII. Unnes Journal of Mathematics Education, 5(2), 147–153.

Liberati, A., Altman, D. G., Tetzlaff, J., Mulrow, C., Gøtzsche, P. C., Ioannidis, J. P. A., Clarke, M., Devereaux, P. J., Kleijnen, J., & Moher, D. (2009). The PRISMA statement for reporting systematic reviews and meta-analyses of studies that health care interventions: explanation and elaboration. In Journal of Clinical Epidemiology (Vol. 62, Issue 10).

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Miranti, N. ., Agoestanto, A., & Kurniasih, A. . (2015). Komparasi pembelajaran MEA dan PBL terhadap kemampuan pemecahan masalah dan disposisi matematis siswa SMP kelas VIII pada materi SPLDV. Unnes Journal of Mathematics Education, 4(3), 214–221. https://doi.org/https://doi.org/10.15294/ujme.v4i3.9061

Mulyani, P., Zulyadaini, Z., & Defitriani, E. (2018). Perbedaan peningkatan kemampuan pemecahan masalah matematis siswa yang memperoleh model pembelajaran kooperatif tipe two stay-two stray (TS-TS) dan model pembelajaran problem-based learning (PBL) di kelas VII SMP Islam Al-Falah Jambi. Phi: Jurnal Pendidikan Matematika, 2(2), 142–151. https://doi.org/http://dx.doi.org/10.33087/phi.v2i2.41

Nadhifah, G., & Afriansyah, E. A. (2016). Peningkatan kemampuan pemecahan masalah matematis siswa dengan menerapkan model pembelajaran problem-based learning dan inquiry. Mosharafa: Journal of Mathematics Education, 5(1), 33–44. https://journal.institutpendidikan.ac.id/index.php/mosharafa/article/view/mv5n1_5%0A

Newman, M. J. (2005). Problem-based learning: An introduction and overview of the key features of the approach. Journal of Veterinary Medical Education, 32(1), 12–20. https://doi.org/10.3138/jvme.32.1.12

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Park, I. (2019). The Effect of Problem-based Learning Strategies (PBL) on Problem Solving Skill: A Meta-Analysis. Journal of The Korean Chemical Society, 10(10), 197–205. https://doi.org/10.15207/JKCS.2019.10.10.197

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Rizka, N. (2018). Penerapan model PBL dengan pendekatan metakognitif untuk meningkatkan kemampuan pemecahan masalah matematis siswa SMP. Jurnal Pendidikan Dan Pembelajaran Khatulistiwa, 7(9), 1–9. https://jurnal.untan.ac.id/index.php/jpdpb/article/view/27869%0A

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Suparman, S., Juandi, D., & Tamur, M. (2021). Review of problem-based learning trends in 2010-2020 : A meta-analysis study of the effect of problem-based learning in enhancing mathematical problem-solving skills of Indonesian students. Journal of Physics: Conference Series, 1722(012103), 1–9. https://doi.org/10.1088/1742-6596/1722/1/012103

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Students’ Errors and Misconceptions in Solving Fundamental Mathematics Problem

The purpose of this research was to analyze students' errors and misconceptions in solving Fundamental Mathematics problems. The research method used in this study was descriptive research with a qualitative approach. The subjects of this study consisted of 23 students who took the Fundamental Mathematics course at the Computer Education Study Program. The instrument used in this research was the Fundamental Mathematics Test. The research procedure consisted of three main stages, namely: (1) preparatory stage: learning activities were carried out in 7 meetings and the development of Fundamental Mathematics questions; (2) implementation: research subjects completed the Fundamental Mathematics Test as an effort to collect data; and (3) data analysis from students' answers to Fundamental Mathematics questions to describe student mistakes in solving Fundamental Mathematics problems. The results showed that many errors and misconceptions that occurred in each question were caused by errors in understanding and translating arithmetic symbols in solving Fundamental Mathematics problems, errors in drawing conclusions, and errors in making graphs and images. In addition, misconceptions occur when solving problems involving arithmetic symbols. Furthermore, the recommendation from this study is to develop a Fundamental Mathematics didactic design that is able to minimize student errors.

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