The identification of misconceptions in visual learners based on the certainty of response index (CRI) in solving numeracy problems in algebra

Zidni Elma; Nurcholif Diah Sri Lestari; Ervin Oktavianingtyas; Dinawati Trapsilasiwi; Lela Nur Safrida

doi:10.30821/axiom.v14i1.20441

The identification of misconceptions in visual learners based on the certainty of response index (CRI) in solving numeracy problems in algebra

Zidni Elma, Nurcholif Diah Sri Lestari, Ervin Oktavianingtyas, Dinawati Trapsilasiwi, Lela Nur Safrida

Abstract

This study aims to identify and analyze the misconceptions encountered by students with a visual learning style in solving algebraic numeracy problems using the Certainty of Response Index (CRI) method. The research was conducted with eighth-grade students at SMPN 4 Jember who had previously studied equations and inequalities. A qualitative descriptive approach was employed, with data collected through questionnaires, tests, and interviews. To ensure data validity, member checks were conducted. The findings reveal three distinct types of misconceptions: theoretical, correlational, and classificational. Students with a visual learning style exhibited theoretical misconceptions, including misunderstandings of variable concepts and PtLSV (Pertidaksamaan Linear Satu Variabel - One-variable Linear Inequality) framework, errors in algebraic operation principles, and flawed reasoning when responding to problems. Additionally, correlational misconceptions were identified, such as difficulties in translating given information into mathematical expressions and errors in representing concepts across different mathematical formats. These misconceptions primarily stem from students’ incomplete or inaccurate prior knowledge, limited conceptual understanding, and associative thinking patterns. To mitigate these issues, educators are encouraged to assess students’ initial comprehension through diagnostic testing, enabling early identification and correction of misconceptions. Addressing these misunderstandings at an early stage can prevent further cognitive obstacles when students engage with more complex mathematical concepts.

Keywords

Certainty of response index; Misconception; Visual learning styles

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References

Ainiyah, L.A. (2016). Identifikasi miskonsepsi siswa dalam materi geometri pada pembelajaran matematika siswa kelas viii smp negeri 1 punggelan. Jurnal Pedagogi Matematika, 5(1). https://bit.ly/4kAbLKk

Akhmadan, W. (2017). Pengembangan bahan ajar materi garis dan sudut menggunakan macromedia flash dan moodle kelas vii sekolah menengah pertama. Jurnal Gantang, 2(1), 27–40. https://doi.org/10.31629/jg.v2i1.62

Altin, K., Firdaus, M., & Oktaviana, D. (2021). Analisis miskonsepsi matematika siswa dalam menyelesaikan soal pada materi operasi hitung bentuk aljabar dengan certainty of respons index (cri). Jurnal Prodi Pendidikan Matematika (JPMM), 3(1), 252–266. https://jurnal.mipatek.upgripnk.ac.id/index.php/JPPM/article/view/197

Ayuni, A., & Arif, S. (2023). Analisis miskonsepsi ditinjau dari gaya belajar dengan certainty of response index. Jurnal Tadris IPA Indonesia, 3(1), 69–82. https://doi.org/10.21154/jtii.v3i1.837

Bire, A.L., Geradus, U., & Bire, J. (2019). Pengaruh gaya belajar visual, auditorial, dan kinestetik terhadap prestasi belajar siswa. Jurnal Kependidikan, 44(2), 168–178. https://doi.org/10.21831/jk.v44i2.5307

Guswanto, E., Susanto, & Trapsilasiwi, D. (2018). Analisis kesalahan siswa dalam menyelesaikan permasalahan identitas trigonometri berdasarkan kriteria waston ditinjau dari gaya belajar. Kadikma, 9(1), 165–173. https://jurnal.unej.ac.id/index.php/kadikma/article/view/8444/5789

Hakim, A., Liliasari, L., & Kadarohman, A. (2012). Student concept understanding of natural products chemistry in primary and secondary metabolites using the data collecting technique of modified cri‏. ‏International Online Journal of Educational Sciences, 4(3), 544–553. http://www.acarindex.com/dosyalar/makale/acarindex-1423904279.pdf

Hasan, S., Bagayoko, D., & Kelley, E.L. (1999). Misconceptions and the certainty of response index (cri). Physics Education, 34(5), 294–299. https://doi.org/10.1088/0031-9120/34/5/304

Irfan, M., Nilawati, A.R., Sulistyowati, F., & Sukiyanto. (2023). Analisis kemampuan numerasi siswa dalam menyelesaikan masalah pada konteks budaya. Jurnal Kajian Pendidikan Matematika, 8(2), 243–250.

Isyam, Y.A.N., Susanto, & Oktavianingtyas, E. (2019). Identifikasi miskonsepsi siswa dalam menyelesaikan soal timss konten aljabar ditinjau dari tingkat kecemasan matematika. Kadikma, 10(1), 74–84. https://jurnal.unej.ac.id/index.php/kadikma/article/view/11727/6869

Pratiwi, R. (2018). Miskonsepsi siswa pada materi sistem persamaan linear dua variabel (SPLDV) berdasarkan proses berpikir kritis ditinjau dari kemampuan awal. Jurnal Eksponen, 8(1), 9–17. https://doi.org/10.47637/eksponen.v8i1.136

Pusat Asesmen dan Pembelajaran. (2020). Desain pengembangan soal asesmen kompetensi minimum 2020. Jakarta: Pusat Asesmen Pendidikan.

Pusat Asesmen dan Pembelajaran. (2021). Framework asesmen kompetensi minimum (akm). Jakarta: Pusat Asesmen Pendidikan.

Pusmendik. (2023). Rapor pendidikan Indonesia tahun 2023. Jakarta: Pusat Asesmen Pendidikan.

Rahayu, G., Kurniati, D., Jatmiko, D.D.H., Lestari, N.D.S., & Ambarwati, R. (2022). Analisis kemampuan berpikir kritis siswa smp dalam memecahkan masalah matematika materi bentuk aljabar ditinjau dari gaya kognitif reflektif dan implusif. Jurnal Edukasi Dan Sains Matematika (JES-MAT), 8(2), 207–216. https://doi.org/10.25134/jes-mat.v8i2.6372

Rahayu, S., Setyawati, D.U., & Febrilia, B.R.A. (2021). Kesalahan dan miskonsepsi dalam aljabar. Media Pendidikan Matematika, 9(2), 39–42. https://doi.org/10.33394/mpm.v9i2.4267

Ramadhan, M., Sunardi, & Kurniati, D. (2017). Analisis miskonsepsi siswa dalam menyelesaikan soal matematika berstandar pisa dengan menggunakan certainty of response index (cri). Kadikma, 8(1), 145–153.

Rangkuti, A.N. (2022). Diagnostik kesulitan belajar siswa pada materi aljabar. AXIOM : Jurnal Pendidikan Dan Matematika, 11(2), 116. https://doi.org/10.30821/axiom.v11i2.13310

Rohimah, S.M. (2017). Analisis learning obtacles pada materi persamaan dan pertidaksamaan linear satu variabel. Jurnal Penelitian Dan Pembelajaran Matematika, 10(1), 132–141. http://dx.doi.org/10.30870/jppm.v10i1.1293

Sari, B.P. (2023). Analisis miskonsepsi siswa dalam pemecahan masalah matematika materi pokok SPLDV ditinjau dari gaya belajar siswa. Jurnal Penelitian Ilmu Sosial Dan Eksakta, 2(2), 69–83. https://doi.org/10.47134/trilogi.v2i2.40

Sari, H.M., & Afriansyah, E.A. (2020). Analisis miskonsepsi siswa smp pada materi operasi hitung bentuk aljabar. Jurnal Pendidikan Matematika, 9(3), 439–450. https://doi.org/10.31980/mosharafa.v9i3.626

Sholehah, I.P., Triyanto, & Wulandari, A.N. (2021). Analisis miskonsepsi siswa pada materi garis dan sudut ditinjau dari gaya belajar siswa kelas vii smp negeri 13 surakarta tahun ajaran 2018/2019. Jurnal Pendidikan Matematika Dan Matematika, 5(5), 211–220. https://doi.org/10.20961/jpmm%20solusi.v5i5.59031

Sugianto, A. (2021). Kuesioner gaya belajar siswa. In Repo-Dosen.Ulm.Ac.Id. https://bit.ly/45qqnrd

Taqiyuddin, M., Sumiaty, E., & Jupri, A. (2017). Miskonsepsi siswa sekolah menengah pertama pada topik pertidaksamaan linear satu variabel. Jurnal Pendidikan Matematika Indonesia, 1(1), 64–81. https://bit.ly/43sNy1E

Tayubi, Y.R. (2005). Identifikasi miskonsepsi pada konsep-konsep fisika menggunakan certainty of response index (cri). Jurnal UPI, 24(3), 4–9. https://bit.ly/3H8VRrM

Wiharjo, E., Capriana, R., & Wulandari, C. (2016). Studi komparatif pemanfaat geogebra dalam pembelajaran geometri. Prosiding Seminar Nasional Matematika Dan Pembelajarannya, 144–150. https://bit.ly/4kCLdbr

DOI: http://dx.doi.org/10.30821/axiom.v14i1.20441