Analysis of Students’ Mathematical Representation Ability in Working on Conical Section Problems

Muhammad Ridlo Yuwono; Fery Firmansah; M. Wahid  Syaifuddin

doi:10.22437/edumatica.v15i3.46690

Authors

Muhammad Ridlo Yuwono Universitas Widya Dharma Klaten
Fery Firmansah Universitas Widya Dharma Klaten
M. Wahid Syaifuddin Universitas Widya Dharma Klaten

DOI:

https://doi.org/10.22437/edumatica.v15i3.46690

Keywords:

analysis, conic section, representation

Abstract

This study aims to analyze students’ representational ability in working on conic section problems. This study is included in case study research using a qualitative approach. The subjects of this study were students of Widya Dharma University. This study used the primary instrument (researcher) and auxiliary instruments (tests and interview guidelines). The validity of this research data was supported by triangulation techniques that compared the results of the conic section test work with those of the interview. The data analysis stage of this study consisted of data condensation, data presentation, and conclusion. The results of this study are presented as a profile of students’ representational ability when working on geometry problems. In ellipse, parabola, and hyperbola problems, writing important information in the problem, not making analogies, and writing incorrect equations. The profile of students’ visual representation ability shows that they are unable to draw sketches of ellipse, parabola, and hyperbola graphs correctly. In ellipse, parabola, and hyperbola questions, the problem is that they do not provide explanatory sentences for each stage of working on the questions.

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References

Abdurahman, M. R., Haryadi, D. R., Inayah, S., & Lutfi, A. (2023). Analisis kemampuan representasi matematis siswa dalam menyelesaikan soal matematika materi kesebangunan dan kekongruenan. SIGMA DIDAKTIKA: Jurnal Pendidikan Matematika, 11(2), Article 2. https://doi.org/10.17509/sigmadidaktika.v11i2.66158

Agusven, T., Satriadi, S., Hafizni, R., Santoso, N. K., & Hasnarika, H. (2023). Dasar Metodologi Penelitian Kualitatif. CV Rey Media Grafika.

Aljohani, S. (2016). Analytic geometry of three dimensions. International Journal of Scientific & Engineering Research, 7(4), 185–186.

Amir, M. F., Wardana, M. D. K., & Usfuriah, D. (2021). Visual and symbolic representation forming: A case of relational understanding on elementary student. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 10(4), Article 4. https://doi.org/10.24127/ajpm.v10i4.4361

Arwadi, F., Asmaun, A., & Ruslan, R. (2024). Analisis kesalahan mahasiswa dalam menyelesaikan soal geometri analitik ditinjau dari prestasi belajar. Jurnal Riset Dan Inovasi Pembelajaran, 4(3), 1819–1828. https://doi.org/10.51574/jrip.v4i3.2206

Azzahra, A., Rianti, T. D., & Wandani, R. R. (2024). Analisis kemampuan representasi visual matematika pada materi geometri. Jurnal Pendidikan Tambusai, 8(1), 57–61. https://doi.org/10.31004/jptam.v8i1.12340

Cholily, Y. M., Jamil, A. F., & Dintarini, M. (2024). Metacognitive regulation strategies among indonesian undergraduate students during conic sections conceptualization. AL-ISHLAH: Jurnal Pendidikan, 16(2), Article 2. https://doi.org/10.35445/alishlah.v16i2.5252

Denzin, N. K. (2015). Triangulation. In The Blackwell Encyclopedia of Sociology. John Wiley & Sons, Ltd. https://doi.org/10.1002/9781405165518.wbeost050.pub2

Dias, G. N., Ferreira, R. D. C., Araújo, M. B. S. de, Araújo, G. M. de, Júnior, J. C. B. de S., Lobato, F. da S., Vogado, G. E. R., Pamplona, V. M. S., Rodrigues, A. E., Reis, C. P. dos, Junior, W. L. P. da S., Barbosa, E. da S., Beirao, A. T. M., & Silva, K. P. da. (2021). A didactic proposal for the construction of the ellipse. International Journal for Innovation Education and Research, 9(6), Article 6. https://doi.org/10.31686/ijier.vol9.iss6.3195

Dihna, E. R., & Sudihartinih, E. (2023). Analisis kemampuan representasi matematis mahasiswa melalui perkuliahan geometri analitik topik garis. JIPM (Jurnal Ilmiah Pendidikan Matematika), 11(2), Article 2. https://doi.org/10.25273/jipm.v11i2.12443

Ekayanti, A. (2017). Pengembangan modul irisan kerucut berbantuan geogebra. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 6(3), Article 3. https://doi.org/10.24127/ajpm.v6i3.1151

Erita, S., Mulyani, T., & Putra, A. (2023). Analysis of mathematic representation ability in online learning. Mathline : Jurnal Matematika Dan Pendidikan Matematika, 8(1), Article 1 . https://doi.org/10.31943/mathline.v8i1.259

Fudin, M. I., Cahyono, H., & Putri, O. R. U. (2022). Analysis of the visual to verbal mathematical representation process for junior high school students in solving hots questions in terms of adversity quotient. Mathematics Education Journal, 6(2), Article 2. https://doi.org/10.22219/mej.v6i2.23047

Hadiastuti, D. I., & Soedjoko, E. (2019). Analysis of mathematical representation ability based on students’ thinking style in solving open-ended problems. Unnes Journal of Mathematics Education, 8(3), Article 3. https://doi.org/10.15294/ujme.v8i3.34189

Hajizah, M. N., & Salsabila, E. (2024). Analisis kesalahan mahasiswa dalam menyelesaikan masalah geometi analitik berdasarkan newman’s error analysis. Plusminus: Jurnal Pendidikan Matematika, 4(1), Article 1. https://doi.org/10.31980/plusminus.v4i1.1749

Hidayat, F., & Lestari, P. (2022). Kemampuan representasi matematis siswa berbantuan aplikasi wingeom pada masa pembelajaran tatap muka terbatas. Plusminus: Jurnal Pendidikan Matematika, 2(3), Article 3. https://doi.org/10.31980/plusminus.v2i3.1124

Hidayati, D. W., & Wahyuni, A. (2021). Analysis of mathematical representation ability based on level of reading interest in geometry course. Journal of Medives : Journal of Mathematics Education IKIP Veteran Semarang, 5(2), Article 2. https://doi.org/10.31331/medivesveteran.v5i2.1671

Inganah, S., Nabila, A. I., & Putri, O. R. U. (2021). Kesalahan konstruksi konsep matematis dalam proses representasi visual mahasiswa. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 10(3), Article 3. https://doi.org/10.24127/ajpm.v10i3.3993

Ižvoltová, J., & Cesnek, T. (2018). Accuracy analysis of continual geodetic diagnostics of a railway line. In Advances and Trends in Geodesy, Cartography and Geoinformatics. CRC Press.

Kadry, S. (2014). Mathematical formulas for industrial and mechanical engineering. Elsevier. https://doi.org/10.1016/C2012-0-06165-0

Listyotami, M. K., & Wahyuni, E. (2023). Evaluasi kemampuan representasi matematis mahasiswa terhadap pembelajaran online dalam mata kuliah matematika ekonomi. Jurnal Cendekia : Jurnal Pendidikan Matematika, 7(2), Article 2. https://doi.org/10.31004/cendekia.v7i2.2321

Miles, M. B., Hubermas, A. M., & Saldana, J. (2014). Qualitative data analysis. SAGE Publications Ltd. https://books.google.co.id/books?id=3CNrUbTu6CsC&printsec=frontcover&dq=miles+huberman+data+analysis&hl=id&sa=X&ved=0ahUKEwiYvLPz8PrnAhUZfX0KHbEXCywQ6AEIKDAA#v=onepage&q=miles huberman data analysis&f=false

Muchlis, E. E., Priatna, N., Herman, T., & Juandi, D. (2023). Analisis kemampuan komunikasi matematis mahasiswa calon guru matematika pada pembelajaran kalkulus integral. Jurnal Penelitian Pembelajaran Matematika Sekolah (JP2MS), 7(1), Article 1. https://doi.org/10.33369/jp2ms.7.1.68-82

Muzangwa, J., & Ogbonnaya, U. I. (2022). Undergraduate mathematics education students’ visual representations of multivariable functions. Edumatica : Jurnal Pendidikan Matematika, 12(3), Article 3. https://doi.org/10.22437/edumatica.v12i03.15712

Nadlifah, M., & Putri, O. R. U. (2023). Kemampuan komunikasi matematis mahasiswa melalui pembelajaran berbasis masalah berbantuan aplikasi MAPLE. CERMIN: Jurnal Penelitian, 7(1), 84–95. https://doi.org/10.36841/cermin_unars.v7i1.2887

Ningsi, G. P., Nendi, F., Jehadus, E., Sugiarti, L., & Kurnila, V. S. (2022). Analisis kesalahan mahasiswa dalam menyelesaikan soal kalkulus integral berdasarkan newman’s error analysis dan upaya pemberian scaffolding. Jurnal Cendekia : Jurnal Pendidikan Matematika, 6(3), Article 3. https://doi.org/10.31004/cendekia.v6i3.1469

Noto, M. S., Hartono, W., & Sundawan, D. (2016). Analysis of students mathematical representation and connection on analytical geometry subject. Infinity Journal, 5(2), 99–108. https://doi.org/10.22460/infinity.v5i2.p99-108

Novitasari, P., Usodo, B., & Fitriana, L. (2021). Visual, symbolic, and verbal mathematics representation abilities in junior high school’s students. Journal of Physics: Conference Series, 1–8. https://doi.org/10.1088/1742-6596/1808/1/012046

Rachmawati, L. N., Cholily, Y. M., & Zukhrufurrohmah, Z. (2021). Mathematics communication mistakes in solving hots problems. Infinity Journal, 10(1), 69–80. https://doi.org/10.22460/infinity.v10i1.p69-80

Ratumanan, T. G., Ayal, C. S., & Tupamahu, P. Z. (2022). Mathematical representation ability of mathematics education study program students. Jurnal Pendidikan Matematika (JUPITEK), 5(1), Article 1. https://doi.org/10.30598/jupitekvol5iss1pp50-59

Rokhman, M. S., & Oktaviani, D. N. (2015). Pengembangan modul geometri analitik berbasis konstruktivisme untuk meningkatkan kemampuan representasi matematis mahasiswa Pendidikan Matematika Universitas Pancasakti Tegal. Cakrawala: Jurnal Pendidikan, 9(2), Article 2. https://doi.org/10.24905/cakrawala.v9i2.88

Sabrina, K. A., & Effendi, K. N. S. (2022). Kemampuan representasi matematis siswa pada materi kesebangunan. Jurnal Educatio FKIP UNMA, 8(1), 219–228. https://doi.org/10.31949/educatio.v8i1.1969

Sadidah, Y. A., & Sudihartinih, E. (2023). Analisis kesalahan mahasiswa menurut skema fong pada materi irisan kerucut dalam pembelajaran geometri analitik. Mathematics Education And Application Journal (META), 5(1), Article 1. https://doi.org/10.35334/meta.v5i1.3751

Salsabila, E., Rahayu, W., Kharis, S. A., & Putri, A. (2019). Analysis of mathematical literacy on students’ metacognition in conic section material. Journal of Physics: Conference Series, 1417(1), 012057. https://doi.org/10.1088/1742-6596/1417/1/012057

Siegel, L. (2022). Crafting conic sections. Math Horizons, 29(2), 29–29. https://doi.org/10.1080/10724117.2021.1978760

Simarmata, R. H. (2021). Kemampuan mahasiswa pendidikan matematika dalam menyelesaikan soal pemecahan masalah materi SPLDV. Jurnal Pendidikan Matematika Undiksha, 12(2), Article 2. https://doi.org/10.23887/jjpm.v12i2.34632

Sudihartinih, E., & Purniati, T. (2020). Students’ mistakes and misconceptions on the subject of conics. International Journal of Education, 12(2), Article 2. https://doi.org/10.17509/ije.v12i2.19130

Sugandi, A. I., Sofyan, D., Linda, L., & Ratnasari, D. (2022). Identifikasi kesalahan mahasiswa dalam menyelesaikan soal-soal pada mata kuliah geometri analitik. JPMI (Jurnal Pembelajaran Matematika Inovatif), 5(4), 1209–1220. https://doi.org/10.22460/JPMI.V5I4.11151

Supandi, S., Waluya, St. B., Rochmad, R., Suyitno, H., & Dewi, K. (2018). Think-Talk-Write model for improving students’ abilities in mathematical representation. International Journal of Instruction, 11(3), 77–90. https://doi.org/10.12973/iji.2018.1136a

Suyitno, A. (2016). Strategi Pembelajaran 1, Geometri, dan Irisan Kerucut. Kementerian Pendidikan dan Kebudayaan.

Tupamahu, P. Z., Ratumanan, T. G., & Laamena, C. (2023). Students’ mathematical representation and communication ability in mathematics problem solving. Jurnal Didaktik Matematika, 10(1), Article 1. https://doi.org/10.24815/jdm.v10i1.29376

Wulandari, A. A., & Astutiningtyas, E. L. (2020). Analisis kemampuan komunikasi matematis mahasiswa dalam pembelajaran relasi rekurensi. Jurnal Math Educator Nusantara: Wahana Publikasi Karya Tulis Ilmiah di Bidang Pendidikan Matematika, 6(1), Article 1. https://doi.org/10.29407/jmen.v6i1.14263

Yanuarto, W. N. (2018). Deskripsi kemampuan representasi matematis dalam pembelajaran geometri. Indonesian Journal of Mathematics Education, 1(1), Article 1. https://doi.org/10.31002/ijome.v1i1.888

Yuwono, M. R., Ferryka, P. Z., Setyandari, A., & Munif, F. A. (2024). Analisis kemampuan literasi numerasi mahasiswa pada implementasi program kampus mengajar. JPMI (Jurnal Pembelajaran Matematika Inovatif), 7(1), Article 1. https://doi.org/10.22460/jpmi.v7i1.21595