Eksplorasi Kesalahan Mahasiswa pada Materi Turunan dan Integral Berdasarkan Teori APOS
DOI:
https://doi.org/10.31316/jk.v6i3.4099Abstract
Abstrak
Penelitian ini bertujuan untuk mengeksplorasi kesalahan mahasiswa pada mata kuliah matematika terapan di Jurusan Teknik Sipil Politeknik Negeri Malang pada materi turunan dan integral. Penelitian ini merupakan penelitian studi kasus yang menggunakan pendekatan kualitatif. Data dikumpulkan dari hasil ujian mahasiswa yang kemudian diklasifikasikan berdasarkan kategori kesalahan menggunakan teori Aksi, Proses, Objek dan Skema. Mahasiswa menunjukkan empat jenis kesalahan dari lima kategori yang ditentukan. Kesalahan terbanyak yang muncul yaitu kesalahan konseptual dan kesalahan interpretasi yang berada pada level Aksi di teori APOS, sedangkan kesalahan ekstrapolasi linear tidak muncul pada penelitian ini.
Kata Kunci: Eksplorasi;Integral;Kesalahan;Teori APOS;Turunan
References
DAFTAR PUSTAKA
Arnon, I., Cottrill, J., Dubinsky, E., Oktaç, A., Roa Fuentes, S., Trigueros, M., & Weller, K. (2014). APOS Theory. Springer New York. https://doi.org/10.1007/978-1-4614-7966-6
Dinnullah, R. N. I. (2021). Analisis pemahaman konsep berdasarkan tahapan apos peserta didik pada sistem persamaan linear dua variabel. Rainstek Jurnal Terapan Sains Dan Teknologi, 3(4), 282–299. https://doi.org/10.21067/jtst.v3i4.6335
Dubinsky, E. (2002). Reflective Abstraction in Advanced Mathematical Thinking. Advanced Mathematical Thinking, 95–126. https://doi.org/10.1007/0-306-47203-1_7
Dubinsky, E., & McDonald, M. A. (2001). A Constructivist Theory of Learning in Undergraduate Education Research. The Teaching and Learning of Mathematics at University Level, 7(3), 275–282. http://www.springerlink.com/content/v213717886v31357/
Ebrahiminejad, H. (2017). A systematized literature review: Defining and developing engineering competencies. ASEE Annual Conference and Exposition, Conference Proceedings, 2017-June. https://doi.org/10.18260/1-2--27526
Ferrini-Mundy, J. (2000). Principles and standards for school mathematics: A guide for mathematicians. Notices of the American Mathematical Society, 47(8), 868–876.
Figueroa, A. P., Possani, E., & Trigueros, M. (2018). Matrix multiplication and transformations : an APOS approach. November 2017. https://doi.org/10.1016/j.jmathb.2017.11.002
Kazunga, C., & Bansilal, S. (2020). An APOS analysis of solving systems of equations using the inverse matrix method. Educational Studies in Mathematics, 103(3), 339–358. https://doi.org/10.1007/s10649-020-09935-6
Maharaj, A. (2013). An APOS analysis of natural science students’ understanding of derivatives. South African Journal of Education, 33(1), 1–19. https://doi.org/10.15700/saje.v33n1a458
Maharaj, A. (2014). An APOS analysis of natural science students’ understanding of integration. Journal of Research in Mathematics Education, 3(1), 54–73. https://doi.org/10.15700/saje.v33n1a458
Martínez-planell, R. (2020). On students ’ understanding of implicit differentiation based on APOS theory.
Mazario, F. G., López, A. G., Martín, A., de la Villa Cuenca, A., & Rodriguez, G. (2012). Learning and Assessing Competencies: New challenges for Mathematics in Engineering Degrees in Spain. Procceding of 16th SEFI MWG Seminar Mathematical Education of Engineers, 1–7. http://oa.upm.es/22922/
Mazzurco, A., Jesiek, B. K., & Allison, G. (2020). Development of Global Engineering Competency Scale: Exploratory and Confirmatory Factor Analysis. Journal of Civil Engineering Education, 146(2). https://ascelibrary.org/doi/epdf/10.1061/%28ASCE%29EI.2643-9115.0000006
Siyepu, S. W. (2013). An exploration of students’ errors in derivatives in a university of technology. Journal of Mathematical Behavior, 32(3), 577–592. https://doi.org/10.1016/j.jmathb.2013.05.001
Stewart, J. (2010). Calculus: Early Transcendentals, Seventh Edition.
Suhady, W., Roza, Y., & Maimunah, M. (2019). Identifikasi Kesalahan Konseptual Dan Prosedural Siswa Dalam Menyelesaikan Soal Pada Materi Dimensi Tiga. Jurnal Cendekia : Jurnal Pendidikan Matematika, 3(2), 494–504. https://doi.org/10.31004/cendekia.v3i2.143
Syamsuri, S., & Marethi, I. (2018). APOS analysis on cognitive process in mathematical proving activities. International Journal on Teaching and Learning Mathematics, 1(1), 1. https://doi.org/10.18860/ijtlm.v1i1.5613
Syamsuri, S., & Santosa, C. A. (2021). Thinking Structure of Students’ Understanding of Probability Concept in Term of Apos Theory. MaPan, 9(1), 119. https://doi.org/10.24252/mapan.2021v9n1a8
Downloads
Published
Issue
Section
License
Copyright (c) 2022 Rif’atul Khusniah, Rofila El Maghfiroh
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Authors who publish with this journal agree to the following terms:
-
The journal allow the authors to hold the copyright without restrictions and allow the authors to retain publishing rights without restrictions.
-
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution-ShareAlike 4.0 International License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
This work is licensed under a Lisensi Creative Commons Atribusi-BerbagiSerupa 4.0 Internasional.
