Analisis Kesalahan Siswa dalam Menilai Kebenaran Suatu Pernyataan

Yayan Eryk Setiawan

Abstract


The reasonings students provided in assessing the truth of a statement still show many mistakes. Therefore, this present research aimed to find the students’ errors in judging the truth of a statement. The present research employed a qualitative approach, and the participants were 10th-grade senior high school students in one of Lumajang district. This research instrument consisted of three questions demanding evaluative abilities.  The findings showed that the students made three kinds of errors reasoning in judging the truth of the statements, which are conceptual errors, principle errors, and factual errors. This study is implied to the Mathematics teachers to provide students opportunities to construct definitions, distinguish the differences among the characteristics of two and three-dimensional figures, and to explain the meaning of mathematical symbols in various contexts to avoid conceptual errors, principle errors, and factual errors.

Keywords


critical thinking skills, judging the truth of statements, conceptual errors, principle errors, factual errors.

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References


Ada, T., & Kurtulu, A. (2012). Students’ misconceptions and errors in transformation geometry. International Journal of Mathematical Education in Science and Technology, 41(7), 901–909.

Aktaş, G. S., & Ünlü, M. (2017). Understanding of eight grade students about transformation geometry: Perspectives on students’ mistakes. Journal of Education and Training Studies, 5(5), 103–119.

Almog, N., & Ilany, B.-S. (2012). Absolute value inequalities: High school students’ solutions and misconceptions. Educational Studies in Mathematics, 81(3), 347–364.

Arikan, E. E., Ozkan, A., & Ozkan, E. M. (2015). An examination in turkey: Error analysis of mathematics students on group theory. Educational Research and Reviews, 10(16), 2352–2361

As’ari, A. R., Mahmudi, A., & Nuerlaelah, E. (2017). Our prospective mathematic teachers are not critical thinkers yet. Journal on Mathematics Education, 8(2), 145–156.

Atabaki, A. M. S., Keshtiaray, N., & Yarmohammadian, M. H. (2015). Scrutiny of critical thinking concept. International Education Studies, 8(3), 93–102.

Ball, D. L. (1993). With an eye on the mathematical horizon: Dilemmas of teaching elementary school mathematics. The Elementary School Journal, 93(4), 373–397.

Ball, D. L., & Friel, S. N. (1991). Implementing the “professional standards for teaching mathematics”: What’s all this talk about “discourse”? The Arithmetic Teacher, 39(3), 44–48.

Borasi, R. (1994). Capitalizing on errors as “springboards for inquiry”: A teaching experiment. Journal for Research in Mathematics Education, 25(2), 166–208.

Cho, P., & Nagle, C. (2017). Procedural and conceptual difficulties with slope: An analysis of students’ mistakes on routine tasks. International Journal of Research in Education and Science (IJRES), 3(1), 135–150.

Dufresne, R. J., Gerace, W. J., Hardiman, P. T., & Mestre, J. P. (1992). Constraining novices to perform expertlike problem analyses: Effects on schema acquisition. The Journal of the Learning Sciences, 2(3), 307–331.

Ennis, R. H. (1993). Ctritical thinking assessment. Theory Into Practice, 32(3), 179–186.

Farida, N. (2015). Analisis kesalahan siswa SMP kelas VIII dalam menyelesaikan masalah soal cerita matematika. Aksioma: Jurnal Pendidikan Matematika, 4(2), 42–52.

Hidayat, B. R., Sugiarto, B., & Pramesti, G. (2013). Analisis kesalahan siswa dalam menyelesaikan soal pada materi ruang dimensi tiga ditinjau dari gaya kognitif siswa. Jurnal Pendidikan Matematika Solusi, 1(1), 39–46.

Islamiyah, A. C., Prayitno, S., &Amrullah. (2018). Analisis kesalahan siswa SMP pada penyelesaian masalah sistem persamaan linear dua variabel. Jurnal Didaktik Matematika, 5(1), 66-76.

Kahane, H. (1989). The proper subject matter for critical thinking courses. Argumentation, 3, 141–147.

Kalyuga, S. (2009). Cognitive load factors in instructional design for advanced learners. New York: Nova Science Publishers, Inc.

Kazemi, E. (1998). Discourse that promotes conceptual understanding. Teaching Children Mathematics, 4(7), 410–414.

Memnun, D. S., Aydin, B., Dinç, E., Çoban, M., & Sevindik, F. (2015). Failures and inabilities of high school students about quadratic equations and functions. Journal of Education and Tra, 3(6), 50–60.

Moeti, B., Mgawi, R. K., & Moalosi, W. T. S. (2017). Critical thinking among post-graduate diploma in education students in higher education : Reality or fuss? Journal of Education and Learning, 6(2), 13–24.

Mulyadi, Riyadi., & Subandi, S. (2015). Analisis kesalahan dalam menyelesaikan soal cerita pada materi luas permukaan bangun ruang berdasarkan newman’s error analysis (NEA) ditinjau dari kemampuan spasial. Jurnal Elektronik Pembelajaran Matematika, 3(4), 370–382.

Muthukrishnan, P., Kee, M. S., & Sidhu, G. K. (2019). Addition error patterns among the preschool children. International Journal of Instruction, 12(2), 115–132.

Muzangwa, J., & Chifamba, P. (2012). Analysis of errors and misconceptions in the learning of calculus by undergraduate students. Acta Didactica Napocensia, 5(2), 1–10.

Oktaviani, M. (2017). Analysis of students’ error in doing mathematics problem on proportion. In Proceedings ofthe 2nd Asian Education Symposium (AES 2017), 172–177. https://doi.org/10.5220/0007300601720177

Parta, I. N. (2017). Instrumen pemetaan capaian pembelajaran (CP) siswa sekolah menengah atas tahun akademik 2017-2018.

Rahayu, S. (2016). Analisis kesalahan siswa dalam menyelesaikan soal-soal kesebangunan. Jurnal E-Dumath, 2(1), 1–9.

Schleppenbach, M., Flevares, L. M., & Sims, L. M. (2007). Teachers’ responses to student mistakes in chinese and u.s. mathematics classrooms. The Elementary School Journal, 108(2), 131–147.

Setiawan, Y. E. (2019). Pembelajaran segiempat. Lumajang: CV. Al-Mukmin Yes.

Setiawan, Y. E. (2020). Analisis kemampuan siswa dalam pembuktian kesebangunan dua segitiga. Al-Khwarizmi: Jurnal Pendidikan Matematika Dan Ilmu Pengetahuan Alam, 8(1), 23–38. https://doi.org/http://dx.doi.org/10.24256/jpmipa.v8i1.800

Setiawan, Y. E., Purwanto, Parta, I. N., & Sisworo. (2020). Generalization strategy of linear patterns from field-dependent cognitive style. Journal on Mathematics Education, 11(1), 77–94. https://doi.org/http://doi.org/10.22342/jme.11.1.9134.77-94

Setiawan, Y. E., Purwanto, Parta, I. N., & Sisworo. (2020). Generalization strategy of linear patterns from field-dependent cognitive style. Journal on Mathematics Education, 11(1), 77–94.

Setiawan, Y. E., & Sunardi. (2015). Keterampilan berpikir kritis dalam dimensi bangun datar dan bangun ruang. In D. Nur Hadi (Ed.), Prosiding Seminar Nasional Matematika dan Pendidikan Matematika “Mengembangkan Kecakapan Abad 21 Melalui Penelitian Matematika dan Pendidikan Matematika”, 263–268. Yogyakarta: FMIPA Universitas Negeri Yogyakarta.

Setiawan, Y. E., Sunardi., & Kusno. (2016). Pengembangan paket tes geometri untuk mengukur keterampilan berpikir kritis. In G. Muhsetyo, E. Hidayanto, & R. Rahardi (Eds.), Prosiding Seminar Nasional Pendidikan Matematika dengan tema “Pengembangan 4C’s dalam Pembelejaran Matematika: Sebuah Tantangan dalam Pengembangan Kurikulum Matematika”, 62–78. Malang: CV. Bintang Sejahtera.

Shabanifar, S., & Konyalioglu, A. C. (2013). Mathematics teachers’ approaches to students’ possible mistakes in exponential and square root number. International Journal of Academic Research, 5(6), 213–219.

Siegel, H. (1989). Epistemology, critical thinking, and critical thinking pedagogy. Argumentation, 3, 127–140.

Solfitri, T., & Roza, Y. (2015). Analisis kesalahan dalam menyelesaikan soal-soal geometri siswa kelas IX SMPN se-kecamatan tampan pekanbaru. In Prosiding Semirata 2015 bidang MIPA BKS-PTN Barat Universitas Tanjungpura Pontianak, 295–303.

Su, H. F., Ricci, F. A., & Matsakanian, M. (2016). Mathematical teaching strategis: Pathways to critical thinking and metacognition. International Journal of Research in Education and Scinece (IRRES), 2(1), 190–200.

Sukoriyanto, Nusantara, T., Subanji., & Chandra, T. D. (2016). Students’ errors in solving the permutation and combination problems based on problem solving steps of polya. International Education Studies, 9(2), 11–16.

Turabik, T., & Gün, F. (2016). The relationship between teachers’ democratic classroom management attitudes and students’ critical thinking dispositions. Journal of Education and Training Studies, 4(12), 45–57.

Webb, N. M., & Mastergeorge, A. M. (2003). The development of students ’ helping behavior and learning in peer-directed small groups. Cognition and Instruction, 21(4), 361–428.

Widodo, S. A. (2013). Analisis kesalahan dalam pemecahan masalah divergensi tipe membuktikan pada mahasiswa matematika. Jurnal Pendidikan dan Pengajaran, 46(2), 106–113.




DOI: https://doi.org/10.24815/jdm.v7i1.14495

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Jurnal Didaktik Matematika

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Jurnal Didaktik Matematika by Program Studi Magister Pendidikan Matematika FKIP Universitas Syiah Kuala is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.