Implementasi Tahapan APOS pada Analisis Kemampuan Pemahaman Konsep Mahasiswa dalam Menyelesaikan Soal Matriks
Full Article

Keywords

APOS Stages
Conceptual Understanding
Matrix

How to Cite

Febrinita, F., Puspitasari, W., & Zaman, W. (2022). Implementasi Tahapan APOS pada Analisis Kemampuan Pemahaman Konsep Mahasiswa dalam Menyelesaikan Soal Matriks. Jurnal Tadris Matematika, 5(2), 169-186. https://doi.org/10.21274/jtm.2022.5.2.169-186

Abstract

Changes in the learning process during the pandemic affected student learning outcomes. As many as 68% of students score below 75 in computational mathematics courses. These results are not comparable to learning outcomes when learning takes place offline. The results of the interviews show that students have difficulty understanding the material when learning is done online. For this reason, a qualitative descriptive study was carried out which aimed to analyze and describe students' conceptual understanding abilities in solving matrix problems using the APOS stages. The research subjects were 3 students of the informatics engineering study program who had taken computational mathematics courses and received matrix material, were in the category of students with low, medium, and high conceptual understanding, and were able to communicate their thoughts orally and in writing. Data collection techniques were carried out through written tests, interviews, and observations. The results showed that students with low conceptual understanding were able to solve matrix problems up to the object stage and made calculation mistakes. Students with a moderate understanding of concepts can solve matrix problems up to the schematic stage but are not careful in doing calculations. Meanwhile, students with high conceptual understanding can solve matrix questions up to the schematic stage, determine the correct answer, make conclusions, and reflect on the problem-solving obtained.

https://doi.org/10.21274/jtm.2022.5.2.169-186
Full Article

References

Afgani, M. W., Suryadi, D., & Dahlan, J. A. (2017). Analysis of undergraduate students’ mathematical understanding ability of the limit of function based on APOS theory perspective. International Conference on Mathematics and Science Education (ICMScE) Journal of Physics: Conference Series, 895(1), 1–7. https://doi.org/10.1088/1742-6596/895/1/012056

Altieri, M., & Schirmer, E. (2019). Learning the concept of eigenvalues and eigenvectors: a comparative analysis of achieved concept construction in linear algebra using APOS theory among students from different educational backgrounds. ZDM - The International Journal on Mathematics Education, 51(7), 1125–1140. https://doi.org/10.1007/s11858-019-01074-4

Asfar, A. M. I. T., Asmawaty, & Nursyam, A. (2019). Mathematical concept understanding: The impact of integrated learning model. Al-Jabar: Jurnal Pendidikan Matematika, 10(2), 211–222.

Astuti, D., Budi, U., & Aryuna, D. R. (2017). Profil pemahaman siswa sekolah menengah atas (SMA) pada materi turunan berdasarkan teori APOS ditinjau dari gaya kognitif siswa. Jurnal Pendidikan Matematika dan Matematika (JPMM), I(5), 37–47.

Boonen, A. J. H., Koning, B. B. de, Jolles, J., & Schoot, M. van der. (2016). Word Problem solving in contemporary math education: A plea for reading comprehension skills training. Frontiers in Psychology, 7, 1–10. https://doi.org/10.3389/fpsyg.2016.00191

Dinullah, R. N. I., & Ernawati. (2021). Analisis pemahaman konsep berdasarkan tahapan APOS Peserta didik pada sistem persamaan linear dua variabel. RAINSTEK: Jurnal Terapan Sains &Teknologi, 3(4), 282–295.

Dubinsky, E., & McDonald, M. A. (2001). APOS: A constructivist theory of learning in undergraduate mathematics education research. Kluwer Academic Publisher. https://doi.org/DOI:10.1007/0-306-47231-7_25

Febrinita, F., & Puspitasari, W. D. (2021). The Perceptions of information technology faculty students on online learning of computational mathematics during the covid-19 pandemic. Jurnal Math Educator Nusantara, 7(2), 172–186. Retrieved from: http://ojs.unpkediri.ac.id/index.php/matematika/article/download/235/150

Gilmore, C., Clayton, S., Cragg, L., McKeaveney, C., Simms, V., & Johnson, S. (2018). understanding arithmetic concepts: The role of domain-specific and domain-general skills. PLoS ONE, 13(9), 18–20. https://doi.org/10.1371/journal.pone.0201724

Ginting, I. R., & Sutirna. (2021). Analisis kemampuan pemahaman konsep matematis pada materi sistem persamaan linear dua variabel. MAJU: Jurnal Ilmiah Pendidikan Matematika, 8(1), 350–357. https://doi.org/10.31949/educatio.v8i1.1993

Hanifah, A. I. (2022). Kemampuan pemahaman matematis pada mata kuliah aljabar linear elementer. J-PiMat, 4(1), 437–442.

Inganah, S. (2018). Analysis of students understanding for the concept of matrix rank based on APOS theory. 5th International Conference on Community Development (AMCA 2018), Advances i, 563–566. https://doi.org/10.2991/amca-18.2018.156

Kamid, Huda, N., Rohati, Sufri, & Iriani, D. (2021). Development of mathematics teachings based on APOS theory: Construction of understanding the concept of student straight line equation. Ta’dib, 24(1), 81–92. https://doi.org/10.31958/jt.v24i1.2346

Kristanti, F., Isnarto, & Mulyono. (2019). Kemampuan pemahaman konsep matematis siswa dalam pembelajaran flipped classroom berbantuan android. Prosiding Seminar Nasional Pacasarjana, 2(1) 618–625. Universitas Negeri Semarang. Retrieved from: https://proceeding.unnes.ac.id/index.php/snpasca/article/view/349/369

Kusumaningrini, D. L., & Sudibjo, N. (2021). Faktor-faktor yang mempengaruhi motivasi belajar siswa di era pandemi covid-19. Akademika: Jurnal Teknologi Pendidikan, 10(01), 145–161. https://doi.org/10.34005/akademika.v10i01.1271

Mawaddah, S., & Maryanti, R. (2016). Kemampuan pemahaman konsep matematis siswa SMP dalam pembelajaran menggunakan model penemuan terbimbing (discovery learning). EDU-MAT: Jurnal Pendidikan Matematika, 4(1), 76–85. https://doi.org/10.20527/edumat.v4i1.2292

Miles, M. B., & Huberman, A. M. (1992). Analisis data kualitatif: Buku sumber tentang metode-metode baru. (Tjetjep Rohendi Rohidi). Jakarta: Universitas Indonesia (UI-PRESS).

Mulyono. (2011). Teori APOS dan implementasinya dalam pembelajaran. Journal of Mathematics and Mathematics Education, 1(1), 37–45. https://doi.org/10.20961/jmme.v1i1.9924

Munasiah, M., Solihah, A., & Heriyati, H. (2020). Pemahaman konsep dan penalaran matematika siswa dalam pembelajaran matriks. SAP (Susunan Artikel Pendidikan), 5(1), 73–78. https://doi.org/10.30998/sap.v5i1.6231

Munir, R. (2016). Matematika diskrit-Edisi revisi keenam. Bandung: Informatika.

NCTM. (2000). Principles standards and for school mathematics. The National Council of Teachers of Mathematics, Inc.

Radiusman. (2020). Studi literasi: Pemahaman konsep siswa pada pembelajaran matematika. FIBONACCI: Jurnal Pendidikan Matematika dan Matematika, 6(1), 1–8.

Rofiki, I., Anam, A. C., Sari, P. E., Irawan, W. H., & Santia, I. (2020). Students’ mental construction in cube and cuboid concepts based on mathematical ability differences. Al-Jabar : Jurnal Pendidikan Matematika, 11(1), 133–144. http://ejournal.radenintan.ac.id/index.php/al-jabar/article/view/134/124

Rosida, N., & Pujiastuti, H. (2020). Analisis pemahaman konsep sistem persamaan linear dua variabel. Jurnal Analisa, 6(2), 163–172. https://doi.org/10.15575/ja.v6i2.8400

Rosita, C. D., Laelasari, L., & Noto, M. S. (2014). Analisis kemampuan pemahaman matematis mahasiswa pada mata kuliah aljabar linear 1. Euclid, 1(2), 60–69. https://doi.org/10.33603/e.v1i2.345

Sugiyono. (2014). Memahami penelitian kualitatif. Bandung: ALFABETA.

Syamsuri, S., & Marethi, I. (2018). APOS analysis on cognitive process in mathematical proving activities. International Journal on Teaching and Learning Mathematics, 1(1), 1–12. https://doi.org/10.18860/ijtlm.v1i1.5613

Windasari, I. Y., Prasetyowati, D., & Shodiqin, A. (2020). Analisis pemahaman konsep berdasarkan teori APOS pada materi barisan geometri di kelas XI SMA Negeri 1 Godong. Imajiner: Jurnal Matematika dan Pendidikan Matematika, 2(5), 417–427. https://doi.org/10.26877/imajiner.v2i5.6664

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Downloads

Download data is not yet available.