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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 Almaretha, Lola AM, Rusydi Amaruddin Amaruddin, Amaruddin Ananta Siregar, Yusril Anis Khoerunisa, Anis Antonny, Elfrida Ardiani Sulistiani Arif , Yulastri Arif, Yulastri Arzuf, Tania - Azhari Siregar, Ari azilah, nur Basyuni, Maftuh Danti Nasution, Rima Dhelfiariani, Bestia Dwi Ratnasari Dwi Salmarini, Desilestia Dwina, Fitrani Emily, Emily Erawati, Sisri Ernawati, Eti Farhati, Nia Awra Fiddian khairudin Fridgo Tasman Fuadi Dharma Harahap, Andes Galingging, Elizabeth Septiani G. Br Gianti, Ridhoul Wahidi Habibah, Rizka Hafni Bachtiar harahap, erna Helma Helma Hendra Hendra Heri Enjang Syahputra Hestiaty Hevardani, Kelly Angelly Hidayah, Zhiratul Hodijah, Siti Romlah Noer Husein Batubara, Rahmad Ilfa Khairina Indra Saputra Ira Mulya Sari Irawan, Angga Jamaris Jamaris Jamil, Mohd Junaidi Junaidi Khairani, Sabilla Khairuddin, fiddian khairudin, Fiddian Komariah, Nur Kurniawan Kurniawan M. Januar Ibnu Adham Ma’mum, Nurcholish Mahadur, Mahadur Mahfudz, Ali Maimunah, Maimunah Maisa, Esthika Ariany Mar’atus Sholihat, Aah Marwan Marwan Marwiyah, Leli Ma’mum, Nurcholish Mila Ermila Hendriyani, Mila Ermila Mirna Mirna Muh. Darwis Muhammad Farhan Munawaroh, Emun Munirah Muthmainnah Muthmainnah Nariyah Nasrullah Nasrullah Nasrullah Nelwati, Nelwati Nency, Aprilya Nita Hestiyana, Nita Noer Hodijah, Siti Romlah Nugrahini, Asadila Pratama Wuri Nur Anisa, Herlina Nurfadillah, Alfira Laila Nurmaini Ginting Nurul Hasanah Oktaviani, Difitria Oxyandi, Miming Pangastuti, Kharisma Diani Pertiwi, Monica Pratama, Vina Risky Ayu PURWANTI, WIWIT Puteri, Zifriyanthi Minanda Putri Diana Putri, Zifriyanthi Minanda Rahma W, Nova Rahman, Aris RAMADHANI, SALSABILA RATNAWATI Rhomiy Handican Ria Sudiana, Ria Rida Oktorida Khastini Ridhoul Wahidi Ridhoul Wahidi Riki Saputra, Riki Rini, Ageng Septa Rizky Ariaji, Rizky Rizky Rahayu, Silvi Rohani Daulay, Wilda Ruhiat, Ruhiat Sabarudin Sabarudin Sab’ngatun, Sab’ngatun Sahlan Mujtaba Samosir, Hottua Santi Nurul Hayatullah, Tri Saputri Julida Sari, Shinta sartika, Mira Sasmita, Happi Seubelan, Sartiny Sidaria, Sidaria Simanjuntak, Ronaldi Simond, Martha Siraj Siraj Siregar, Hariman Siregar, Mahmudin Siti Komariah Sofyan Sulaiman Solehat, Solehat Solfema Sri Wijayanti Sumarsih, Gusti Sumiati, Iis Suriyah, Suriyah Susmiati Susmiati Syafril Syafril Syafril Syari Batubara, Melvariani Syofrianisda, Syofrianisda Ubudiah, Ikhlas Wahyuni, Siska Warisman Nasution, Irhanuddin Yanthi Yanthi Yarman Yarman, Yarman Yerizon Yerizon Yuningsih, Endang Zahra, Chairunnisa Az Zain, Wardinatul Zakiyah Zulfitra, Aldi