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All Journal Jurnal Infinity AKSIOMA: Jurnal Program Studi Pendidikan Matematika JIPM (Jurnal Ilmiah Pendidikan Matematika) Jurnal Edukasi Matematika dan Sains Al-Jabar : Jurnal Pendidikan Matematika Al Ishlah Jurnal Pendidikan Jurnal Penelitian Pendidikan IPA (JPPIPA) Indonesian Journal of Science and Mathematics Education JURNAL EKSAKTA PENDIDIKAN (JEP) Jurnal Cendekia : Jurnal Pendidikan Matematika Jurnal Basicedu JETL (Journal Of Education, Teaching and Learning) Global Conference Index Jurnal Perspektif KOLOKIUM: Jurnal Pendidikan Luar Sekolah Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Jurnal Nuansa Akademik: Jurnal Pembangunan Masyarakat Journal of Social Research Jurnal Basicedu Rangkiang Mathematics Journal JDIME: Journal of Development and Innovation in Mathematics Education Jurnal Edukasi dan Penelitian Matematika Jurnal Infinity Mathematics Education Journal Media Pendidikan Matematika
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Journal : Mathematics Education Journal

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Analysis of Concept Construction and Student Errors on the Topic of Double Integral Based on APOS Theory Yarman, Yarman; Yerizon, Yerizon; Dwina, Fitrani; Murni, Dewi; Hevardani, Kelly Angelly
Mathematics Education Journal Vol. 18 No. 3 (2024): Jurnal Pendidikan Matematika
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jpm.v18i3.pp367-386

Abstract

Integral learning is particularly challenging for students, primarily due to misconceptions predominantly caused by students' lack of understanding about functions, limits, and derivatives. Therefore, this research aims to investigate students’ thinking processes when solving double integral using Action, Process, Object, and Schema (APOS) theory, with a focus on past errors. In order to achieve the objective, a descriptive qualitative method was adopted. Data was collected from tests, interviews, and relevant documentation, and tested for validity using triangulation methods. The obtained results showed that high-ability students understood APOS stages in solving double integral. However, at the object stage, a lack of thoroughness in simplifying algebra led to misunderstandings. Medium-Ability Student (MS) was observed to successfully reach APOS stages when solving double integral using polar coordinates. Low-Ability Student (LS), on the other hand, showed inadequate understanding at the process stage, as evidenced by the failure to correctly draw the area and set integral boundaries. During the course of this investigation, process errors were found to be commonly associated with the calculations of double integral. In order to address these issues, Genetic Decomposition (GD) should be designed for other calculus topics, and error classification expanded to enhance the effectiveness of lectures.
Co-Authors Abda Abda Afniati, Ilhami Ahmad Fauzan Alimatu Saqdiah Arlis, Abel Garcia Armiati Armiati Armiati Arnellis, Arnellis Aryanti, Letty Aryasandy, Nensy Asmar, Ali Asrar, Astari Atika Sari Baehaqi Benti Yulius, Benti Cholis Sa’dijah Daharnis Daharnis Dessela, Syilvi Desyandri Desyandri Dewantari, Juitama Dewi Murni Dwina, Fitrani Edwin Musdi Elwijaya, Fadiah Fitria, Yanti Fitriani, Nadya Fridgo Tasman Ginting, Metamya Aisy Gunawan, Rilla Gina Hafizah Delyana, Hafizah Hafizatunnisa, Hafizatunnisa Harahap, Adek Nilasari Haswenova, Fadhilah Hendrajah, Apdyan Dwi Herlina, Feni Hevardani, Kelly Angelly Hidayah, Irma Rachmah Hrp, Diah Maya Fitrih I Made Arnawa Irwan Irwan Irwan Irwan Ismet Ismet, Ismet Jamaan, Elita Zusti Khairunnisa, Nurul Maulina Lathiful Anwar Leni, Nofri Linda Wati Meisa Kurnia Melisa Melisa Mudjiran Muhammad Zaini Muslim, Muhammad Fachri Muthia Rahmi, Muthia Nazarlin, Nazarlin Nisa, Sahrun Nurhadi, Muhammad Nurhizrah Gistituati Nurvitasari, Septia Permana, Dony PS, Muktabar Annurul Purwoko, Agus PUTRI WAHYUNI Putri Yuanita Putri, Febby Fauzila Ramadoni, Ramadoni Rozika, Eri Sakinah, Hanifatus Sari, Shinta Sari, Tita Purnama Shalina, Ella Tirta Sifa, Friska Falah Sri Novia Martin Suherman, Suherman Sumarwati Suparjo, Andi Suradi, Rahmat Ridho Suske, Ihksan Apria Syaputra, Hamdani Syarifuddin, Hendra Syarifuddin, Hendra Umi, Faridatul Wandila, Sephia Widya Novita Sari Yarman Yarman, Yarman Yolanda, Rendy Novri Yulyanti Harisman Yustianingsih, Rizza Zafirah, Afifah Zulnaidi, Hutkemri