Analysis of students' critical thinking skills in solving mathematics problems in terms of students' initial ability

Adek Nilasari Harahap, Alwen Bentri, Edwin Musdi, Yerizon Yerizon, Armiati Armiati

Abstract


This study aimed to analyze the effect of initial mathematics ability on the critical thinking ability of seventh-grade students of SMP Negeri 8 Padangsidimpuan in solving mathematics problems. Using a qualitative descriptive method, this study involved six students from class VII-D who were selected based on the initial ability test, which was categorized into high, medium, and low. The analysis focuses on four aspects of critical thinking: interpretation, analysis, evaluation, and inference. Based on the data obtained through critical thinking tests and interviews, the results showed significant variations in critical thinking ability according to students' initial ability levels. Students with high initial ability showed full mastery of all four critical thinking indicators, while students with moderate ability achieved two indicators, and students with low initial ability did not fulfil the critical thinking indicators. These results indicate that initial math ability significantly affects student's critical thinking skills in the context of mathematical problem-solving. The implications of this study provide important insights for developing educational strategies that target improving critical thinking skills, taking into account students' initial mathematical abilities.

Keywords


analysis, critical thinking skill, student’s initial ability

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References


E. Y. Wijaya, D. A. Sudjimat, A. Nyoto, and U. N. Malang, “Transformasi pendidikan abad 21 sebagai tuntutan pengembangan sumber daya manusia di era global,” in Prosiding Seminar Nasional Pendidikan Matematika, 2016, pp. 263–278.

M. Maemunawati, S., & Alif, Peran guru, orang tua, metode dan media pembelajaran: strategi kbm di masa pandemi covid-19. Serang : 3M Media Karya, 2020.

K. Hughes, T., Caslin, J., Foss, C., Larsen, A., Loffer, J., & Sacco, “Leading through conflict with critical thinking and creative problem-solving,” Int. J. Cross-Disciplinary Subj. Educ., vol. 10, no. 4, pp. 4142–4146, 2019, https://doi.org/10.20533/ijcdse.2042.6364.2019.0505.

M. Bernard, “Meningkatkan kemampuan komunikasi dan penalaran serta disposisi matematik siswa SMK dengan pendekatan kontekstual melalui game adobe flash CS 4.0.,” Infinity Journal, vol. 4, no. 2, pp. 197–222, 2015, https://doi.org/10.22460/infinity.v4i2.84.

E. Taufik, M. S., Mustami, M. K., & Damayanti, “Pengaruh model pembelajaran synectics, mind maps, cooperative learning (SM2CL) terhadap kemampuan berpikir kritis siswa,” J. Biote, vol. 6, no. 2, pp. 61–72, 2018, https://doi.org/10.24252/jb.v6i2.5378.

R. E. Simamora and S. Saragih, “Improving students’ mathematical problem solving ability and self-efficacy through guided discovery learning in local culture context.,” Int. Electron. J. Math. Educ., vol. 14, no. 1, pp. 61–72, 2019, https://doi.org/10.12973/iejme/3966.

H. F. H. Su, F. A. Ricci, and M. Mnatsakanian, “Mathematical teaching strategies: Pathways to critical thinking and metacognition.,” Int. J. Res. Educ. Sci., vol. 2, no. 1, pp. 190–200, 2016, https://doi.org/10.21890/ijres.57796.

P. Alismail, H. A., & McGuire, “21st century standards and curriculum: Current research and practice.,” J. Educ. Pract., vol. 6, no. 6, pp. 150–154, 2015.

S. Zubaidah, “Keterampilan abad ke-21: Keterampilan yang diajarkan melalui pembelajaran,” in Seminar Nasional Pendidikan, 2016, pp. 1–17.

M. Radulović, L., & Stančić, “What is needed to develop critical thinking in schools?,” Cent. Educ. Policy Stud. J., vol. 7, no. 3, pp. 9–25, 2017, https://doi.org/10.26529/cepsj.283.

R. Tiruneh, D. T., De Cock, M., Weldeslassie, A. G., Elen, J., & Janssen, “Measuring critical thinking in physics: Development and validation of a critical thinking test in electricity and magnetism,” Int. J. Sci. Math. Educ., vol. 15, pp. 663–682, 2017, https://doi.org/10.1007/s10763-016-9723-0.

M. Sajid, M, Paveneh A., & Rostamy-Makhalifeh, “The examining mathematical work problem solving ability under efficient representation aspect. in mathematics education trends and research,” Mathematics Education Trend and Research, vol. 1, no. 1, pp. 1-11, 2013, https://doi.org/10.5899/2013/metr-00007.

L. S. Hartati, A. D., Hayati, A., & Zanthy, “Analisis kemampuan berpikir kritis dan kemampuan pemahaman matematis siswa smp pada materi sistem persamaan linear dua variabel,” J. Educ., vol. 1, no. 3, pp. 37–47, 2019.

A. G. Sari, V. A., & Adirakasiwi, “Analisis kemampuan berpikir kritis siswa SMP Negeri 1 kedung waringin pada materi segitiga,” MAJU J. Ilm. Pendidik. Mat., vol. 8, no. 1, pp. 318–324, 2021.

& T. Fatmawati, H., Mardiyana, “Analisis berpikir kritis siswa dalam pemecahan masalah matematika berdasarkan polya pada pokok bahasan persamaan kuadrat,” J. Elektron. Pembelajaran Mat., vol. 2, no. 9, pp. 911–922, 2014.

S. Rahma, “Analisis berpikir kritis siswa dengan pembelajaran socrates kontekstual di SMP negeri 1 padangratu lampung tengah,” B.S Thesis, Dept. Math. Educ., UIN Raden Intan Lampung, 2017.

OECD, PISA 2018: Insights and interpretations. Paris : PISA, 2019.

F. Bidasari, “Pengembangan soal matematika model PISA pada konten quantity untuk mengukur kemampuan pemecahan masalah matematika siswa sekolah menengah pertama,” J. Gantang, vol. 2, no. 1, pp. 63–77, 2017, https://doi.org/10.31629/jg.v2i1.59.

A. Syahbana, “Peningkatan kemampuan berpikir kritis matematis siswa smp melalui pendekatan contextual teaching and learning,” Edumatica J. Pendidik. Mat., vol. 2, no. 1, pp. 45-57, 2012.

L. Lestari, S. Z. D., & Roesdiana, “Analisis kemampuan berpikir kritis matematis siswa SMP pada materi himpunan,” MAJU J. Ilm. Pendidik. Mat., vol. 8, no. 1, pp. 82–90, 2021.

Risnawati, Keterampilan Belajar Matematika. Sleman : Aswaja Pressindo, 2013.

S. Kholil, M., & Zulfiani, “Faktor-faktor kesulitan belajar matematika siswa madrasah ibtidaiyah da’watul falah kecamatan Tegaldlimo Kabupaten Banyuwang,” Educ. J. Prim. Educ., vol. 1, no. 2, pp. 151–168, 2020, https://doi.org/10.35719/educare.v1i2.14.

A. I. Akramunnisa, A., & Sulestry, “Analisis kemampuan menyelesaikan masalah matematika ditinjau dari kemampuan awal tinggi dan gaya kognitif field independent (FI),” Pedagog. J. Pendidik. Mat., vol. 1, no. 2, pp. 46-56, 2016.

W. Purnamasari, I., & Setiawan, “Analisis kemampuan pemecahan masalah matematis siswa SMP pada materi SPLDV ditinjau dari kemampuan awal matematika,” J. Medives J. Math. Educ. IKIP Veteran Semarang, vol. 3, no. 2, pp. 207–215, 2019, https://doi.org/10.31331/medivesveteran.v3i2.771.

E. Mardaleni, D., Noviarni, N., & Nurdin, “Efek strategi pembelajaran scaffolding terhadap kemampuan pemecahan masalah matematis berdasarkan kemampuan awal matematis siswa,” JURING (Journal Res. Math. Learn., vol. 1, no. 3, pp. 236–241, 2018, https://doi.org/10.24014/juring.v1i3.5668.

F. Razak, “Hubungan kemampuan awal terhadap kemampuan berpikir kritis matematika pada siswa kelas VII SMP Pesantren IMMIM Putri Minasatene,” Mosharafa J. Pendidik. Mat., vol. 6, no. 1, pp. 117–128, 2017, https://doi.org/10.31980/mosharafa.v6i1.299.

N. Mujahid, “Analisis kemampuan berpikir kritis matematika siswa SMA Negeri 5 Wajo.” BS Thesis, Dept. Math, Universitas Negeri Makassar, 2018.

R. N. Sari and D. Juandi, “Improving student’s critical thinking skills in mathematics education: a systematic literature review,” J. Cendekia J. Pendidik. Mat., vol. 7, no. 1, pp. 845–861, 2023, https://doi.org/10.31004/cendekia.v7i1.2091.

T. Genarsih and U. Tisngati, “Analisis proses berpikir kritis siswa dalam memecahkan masalah ditinjau dari kemampuan matematika,” El Wahdah, vol. 1, no. 2, pp. 71–82, 2020.

A. Pebrianti, D. Usdiyana, E. Dedy, and E. Sudihartinih, “Kesulitan siswa dalam menyelesaikan soal pemecahan masalah ditinjau dari kemampuan awal matematika siswa,” AKSIOMA J. Progr. Stud. Pendidik. Mat., vol. 12, no. 3, pp. 3530–3541, 2023, https://doi.org/10.24127/ajpm.v12i3.7400.

M. R. N. Awaluddin, H. Hamdani, A. Hartoyo, B. Bistari, and N. Siregar, “Pengaruh kemampuan awal terhadap kemampuan berpikir kritis siswa MTs dalam pembelajaran matematika,” JPMI (Jurnal Pembelajaran Mat. Inov., vol. 7, no. 1, pp. 205–216, 2024.

E. U. Jannah, “Analisis kemampuan berpikir kritis peserta didik dalam memecahkan masalah matematis ditinjau dari mathematical belief,” B.S. Thesis, Dept. Teacher Training and Educ., Universitas Islam Malang, 2022.

Djamal, Paradigma penelitian kualitatif. Yogyakarta: Pustaka Pelajar, 2015.

M. Y. Muhammad Yusmar, “Analisis kesalahan siswa dalam menyelesaikan soal cerita segitiga dan segiempat berdasarkan prosedur newma,” B.S. Thesis, Dept. Math., Universitas Negeri Makasar, 2019.

Sugiyono, Metode penelitian kuantitatif, kualitatif, dan R&D. Bandung: Alfabeta, 2017.

I. Gunawan, Metode penelitian kualitatif teori dan praktik. Jakarta: PT. Bumi Aksara, 2013.

Sugiyono, Metode penelitian kuantitatif, kualitatif dan R & D. Bandung: Alfabeta, 2013.

I. Zulkarnain, D. O. Nusantari, S. Septhiani, “The effect of initial ability on students ’ critical,” in The 2nd International Conference on Mathematics Education and Technology ( ICOMET) 2023, 2023, pp. 332–333.

L. M. Angraini, A. Alzaber, D. P. Sari, and I. Muhammad, “Augmented reality: improvement of critical thinking based on students’ initial mathematical ability,” Indones. J. Teach. Learn., vol. 2, no. 1, pp. 137–152, 2023, https://doi.org/10.56855/intel.v2i1.176.

D. A. Lapp, M. A. Nyman, and J. S. Berry, “Student connections of linear algebra concepts: an analysis of concept maps,” Int. J. Math. Educ. Sci. Technol., vol. 41, no. 1, pp. 1–18, 2010, https://doi.org/10.1080/00207390903236665.

O. Dewi and K. Wijayanti, “Mathematical critical thinking ability in terms of students learning motivation in probing prompting learning,” Unnes J. Math. Educ., vol. 11, no. 2, pp. 183-190, 2022.

M. S. Al-Shehri, “Effect of differentiated instruction on the achievement and development of critical thinking skills among sixth-grade science students,” Int. J. Learn. Teach. Educ. Res., vol. 19, no. 10, pp. 77–99, 2020, https://doi.org/10.26803/ijlter.19.10.5.




DOI: http://dx.doi.org/10.24042/ijsme.v7i1.18014

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