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Tonra, Wilda Syam
Universitas Khairun
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Journal : Journal on Mathematics Education

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Learning obstacles and the didactical design for teaching the limit of function in a Calculus course Tonra, Wilda Syam; Suryadi, Didi; Mulyaning, Endang Cahya; Kusnandi
Journal on Mathematics Education Vol. 16 No. 1 (2025): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.v16i1.pp153-172

Abstract

Students often face difficulties in understanding the concept of limits in functions, a challenge that arises due to the abstract nature and complexity of the topic. Despite being familiar with the procedural steps, students may fail to grasp the underlying meaning of limits. This gap in comprehension leads to significant learning obstacles. As such, there is a critical need for effective didactical designs that can enhance the teaching and learning of this concept. This study aims to address this issue through a Didactical Design Research (DDR) approach, which is structured into three phases. The first phase involves a preliminary didactical design analysis, followed by administering a diagnostic test on the limit of functions to 26 third-semester students (Group 1) who have already completed a differential calculus course. This diagnostic test helps identify the initial learning obstacles. In the second phase, a didactical design is developed to address these obstacles, and it is then implemented with 33 first-semester students (Group 2) enrolled in a Differential Calculus course to evaluate the impact of the design. Data analysis is conducted based on the scores from the written diagnostic test, categorizing them into three levels of ability. The findings reveal that the primary learning obstacle for students is the formal definition of limits, and the identified obstacles are epistemological, psychological ontogenic, instrumental ontogenic, and conceptual ontogenic. The results of implementing the didactical design demonstrate a significant improvement in students' understanding of limits, as evidenced by a reduction in the learning obstacles encountered. This research contributes to the development of more effective didactical approaches for teaching complex mathematical concepts, offering a potential model for addressing similar learning challenges in other abstract topics.
Co-Authors Abdullah, In .Hi Abdullah, In Hi. Adelia Safitri Aisia Ade Al Jupri Alfan Abdullah Arbain, Sahrudin Asrini Kasman Astuti Sailila Astuti Salim Aswan, Marwis Bobbi Rahman Christi Kasiuhe, Jeane Dadang Juandi Dahlan Wahyudi Daiyan, Yuliyanti dewi mandansari Diah Prawitha Sari Diah Prawitha Sari Dian Kurniati Didi Suryadi Djumat, Zainudin Effendi M. Endang Cahya Mulyaning Endang Cahya Mulyaning A. Endang Sari Kharie Ernawati Ernawati Fahria Kader Farida Hanim Yahya Fatmawati Wahid Fatoni Achmad Finola Marta Putri Fira Umaternate Haris Munandar Abas Hasan Basri Hasan Basri Hasan Hamid Hasbila Rajiman Hasriani Ishak Hernita Pasongli Hery Suharna Hesty Marwani Siregar Idrus Alhaddad In Hi Abdullah In Hi Abdullah Indahwati, Rohmah Iswan Alhadad Kader, Fahria Kandacong Kandacong Karman La Nani Karman Lanani Kasiuhe, Jeane Christi Kharie, Endang Sari Kusnandi Kusnandi Kusnandi, Kusnandi L Firman Nawa Lagalante, Rusdiati Lismawanti Dingomaba M. Fahril Panigfat Maifa, Talisadika Serrisanti Marhami, Marhami Martam, Nur Utari Marwia Tamrin Bakar MASRIYAH Masriyah Masriyah Mega Teguh Budiarto Mega Teguh Budiarto Melisa Wantania Mohamad Waluyo Muh. Ali A. Muhammad Ikhsan Muhammad Ikhsan Muhammad Noor Kholid Muhammad, Iryana Mulyaning. A, Endang Cahya N. Nurjanah Nani, Karman La Naufal Ishartono Nur Utari Martam Nurma Angkotasan, Nurma Nurul Aprilya Umasangaji Nurul Magfira Nyoman Wally Pratiwi, Weni Dwi Puguh Darmawan Puji Savvy Dian Faizati Purningsih Rasid Putra R, Andika Putri A Ilham Rafiza binti Abdul Razak Rahayu R Husain Rahma Rajak Rahmawati Siddik Rani Martalisa Taorina Reni Nuraeni, Reni Rima Aksen Cahdriyana Rindi Antika Rini I. Yuliyanti L Rohmah Indahwati RR. Ella Evrita Hestiandari Rusdiati Lagalante S. Maifa, Talisadika Sahrudin Arbain Saleh, Sitti Fithriani Salim, Astuti Sardin Sarina Sarina SITI FATIMAH Siti Hajar binti Halili Sitti Fithriani Saleh Sitti Fithriani Saleh Soraya Djamilah, Soraya Suryani Taib Susilawati Firman sutiyono sutiyono Talisadika Serrisanti Maifa Tohau, Ahmad Wahyu Setiawan Wahyuni Ansar Willy Abdul Ghany Winda Syam Tonra Windia Hadi, Windia Yahya Hairun Yahya Hairun Yahya, Farida Hanim Yati Ismadi Yoga Dwi Windy Kusuma Ningtyas Yuni Andriyani Safitri