ANALYSIS OF ERROR IN DETERMINING THE DISTANCE BETWEEN TWO POINTS IN THE CARTESIAN PLANE IN THE FIRST SEMESTER STUDENTS

Yayan Eryk Setiawan

doi:10.26418/jpmipa.v13i1.43259

ANALYSIS OF ERROR IN DETERMINING THE DISTANCE BETWEEN TWO POINTS IN THE CARTESIAN PLANE IN THE FIRST SEMESTER STUDENTS

Yayan Eryk Setiawan

Abstract

The purpose of this study is to describe the error in determining the distance between two points. This type of research is descriptive qualitative research. The subjects of this study were 6 first-semester students of the mathematics education study program at one of the universities in Malang City who experienced errors in determining the distance between two points. The research instrument consisted of the problem of the distance between two points and the interview guide. The data collected in this study were in the form of student worksheets and interviews. Student work data were analyzed based on the types of errors that aim to determine the characteristics of student errors. The results of the interviews were analyzed by coding words or sentences to find out the causes of student errors. The results showed that there were three errors in determining the distance between two points, namely: misconception caused by misunderstanding and intuitive thinking; miscalculation caused by lack of thoroughness, and fact errors caused by lack of thoroughness and lack of attention to the overall information contained in the problem.

Keywords

Fact Error; Miscalculation; Misconception; Trigonometry

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References

Abidin, Z. (2012). Analisis Kesalahan Mahasiswa Prodi Pendidikan Matematika Fakultas Tarbiyah IAIN AR-Raniry dalam Mata Kuliah Trigonometri dan Kalkulus 1. Jurnal Ilmiah DIDAKTIKA, 13(1), 183–196.

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.

Byers, T. (2009). The Basic Intervention Mathematics Program for at-risk Students. Australian Mathematics Teacher, 65(1), 6–11.

Downing, D. (2009). Dictionary of Mathematics Terms. In Barron’s Educational Series, Inc. (Third Edit). Barron’s Educational Series, Inc. https://doi.org/10.2307/3614426

Hästö, P., Palkki, R., Tuomela, D., & Star, J. R. (2019). Relati ionship between b mathem matical fle exibility and suc ccess in nation nal exam minations s. European Journal of Science and Mathematics Education, 7(1), 1–13.

Imelda. (2018). Analisis Kesulitan Mahasiswa dalam Menyelesaikan Soal Pemecahan Masalah Pada Mata Kuliah Aljabar dan Trigonometri. Journal of Mathematics Education and Science, 4(1), 49–56.

Jaelani, A. (2017). Kesalahan jawaban tes trigonometri mahasiswa pendidikan matematika semester pertama. Journal of Mathematics Education, 3(2), 1–13.

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

Kazemi, E. (1998). Discourse that promotes conceptual understanding. Teaching Children Mathematics, 4(7), 410–414. http://www.jstor.org/stable/41197003 .

Lial, M. L., Hornsby, J., Schneider, D. I., & Daniels, C. J. (2016). Trigonometry (11th ed.). Pearson.

Mustangin, & Setiawan, Y. E. (2021). Pemahaman Konsep Mahasiswa Semester Satu pada Mata Kuliah Trigonometri. Jurnal Elemen, 7(1), 98–116. https://doi.org/10.29408/jel.v7i1.2773

Muthukrishnan, P., Kee, M. S., & Sidhu, G. K. (2019). Addition error patterns among the preschool children. International Journal of Instruction, 12(2), 115–132. https://doi.org/10.29333/iji.2019.1228a

Nabie, M. J., Akayuure, P., Ibrahim-Bariham, U. A., & Sofo, S. (2018). Trigonometric concepts: Pre-service teachers’ perceptions and knowledge. Journal on Mathematics Education, 9(2), 169–182. https://doi.org/10.22342/jme.9.2.5261.169-182

Nejad, M. J. (2016). Undergraduate Students’ Perception of Transformation of Sinusoidal Functions. In M. B. Wood, E. E. Turner, M. Civil, & J. A. Eli (Eds.), Proceedings of the 38th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 589–596). The University of Arizona.

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

Rittle-Johnson, B., & Star, J. R. (2007). Does Comparing Solution Methods Facilitate Conceptual and Procedural Knowledge? An Experimental Study on Learning to Solve Equations. Journal of Educational Psychology, 99(3), 561–574. https://doi.org/10.1037/0022-0663.99.3.561

Rivera, F. (2015). The Distributed Nature of Pattern Generalization. PNA, 9(3), 165–191.

Setiawan, Y. E. (2020a). 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. (2020b). Analisis Kesalahan Siswa dalam Menggeneralisasi Pola Linier. Jurnal Nasional Pendidikan Matematika, 4(2), 180–194. https://doi.org/http://dx.doi.org/10.33603/jnpm.v4i2.3386

Setiawan, Y. E. (2020c). Analisis Kesalahan Siswa dalam Menilai Kebenaran Suatu Pernyataan. Jurnal Didaktik Matematika, 7(1), 13–31. https://doi.org/10.24815/jdm.v7i1.14495

Setiawan, Y. E. (2020d). Proses Berpikir Siswa dalam Memperbaiki Kesalahan Generalisasi Pola Linier. Mosharafa: Jurnal Pendidikan Matematika, 9(3), 371–382. https://doi.org/https://doi.org/10.31980/mosharafa.v9i3.751

Setiawan, Y. E. (2020e). Sistem Pendukung Pengambilan Keputusan Rekrutmen Guru Menggunakan Logika Fuzzy Tahani. Barekeng: Jurnal Ilmu Matematika Dan Terapan, 14(2), 259–272. https://doi.org/https://doi.org/10.30598/barekengvol14iss2pp259-272

Setiawan, Y. E. (2020f). The Thinking Process of Students Using Trial and Error Strategies in Generalizing Linear Patterns. Numerical: Jurnal Matematika Dan Pendidikan Matematika, 4(1), 1–12. https://doi.org/https://doi.org/10.25217/numerical.v4i1.839

Setiawan, Y. E. (2021a). Analisis Kesalahan Mahasiswa Semester Pertama dalam Menentukan Nilai Fungsi Trigonometri Sudut Istimewa. Supremum Journal of Mathematics Education, 5(1), 110–121. https://doi.org/https://doi.org/10.35706/sjme.v5i1.4531

Setiawan, Y. E. (2021b). Analisis Kesalahan Mahasiswa Semester Pertama dalam Menentukan Nilai Fungsi Trigonometri Sudut Kuadran. Jurnal Cendekia: Jurnal Pendidikan Matematika, 5(1), 321–334. https://doi.org/https://doi.org/10.31004/cendekia.v5i1.413

Setiawan, Y. E., & Mustangin. (2020a). Kepraktisan Model Pembelajaran IDEA (Issue, Discussion, Establish, and Apply) dalam Pembelajaran Matematika. Aksioma: Jurnal Program Studi Pendidikan Matematika, 9(3), 776–788. https://doi.org/https://doi.org/10.24127/ajpm.v9i3.2917

Setiawan, Y. E., & Mustangin. (2020b). Validitas Model Pembelajaran IDEA ( Issue, Discussion, Establish, and Apply) untuk Meningkatkan Pemahaman Konsep. Jurnal Penelitian Pendidikan Dan Pengajaran Matematika, 6(1), 53–60. https://doi.org/https://doi.org/10.37058/jp3m.v6i1.1432

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., & syaifuddin. (2020). Peningkatan Kompetensi Profesionalitas Guru Melalui Pelatihan Desain Pembelajaran Peta Konsep. Jurnal Pengabdian Kepada Masyarakat, 26(3), 148–153. https://doi.org/http://dx.doi.org/10.24114/jpkm.v26i3.16377

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. https://doi.org/10.1207/s1532690xci2104

Wongapiwatkul, P., & Laosinchai, P. (2011). Enhancing Conceptual Understanding of Trigonometry Using Earth Geometry and The Great Circle. Australian Senior, 25(1), 54–64.

DOI: http://dx.doi.org/10.26418/jpmipa.v13i1.43259