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Endang Cahya Mulyaning A.
Mathematics Education Study Program, Faculty Of Mathematics And Natural Sciences Education, Universitas Pendidikan Indonesia,Bandung
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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 A.A. Ketut Agung Cahyawan W Afidah Mas'ud Agustian, Muhammad Rifqi Agustian, Muhammad Rifqi Ahmad Mukhibin, Ahmad Ahmad Rifai Nurdiansyah Al Jupri Anzani, Vera Asep Syarif Hidayat Avip, Bambang B A Priatna Candra Nugraha Chiarun Nisa, Nenden Dadang Juandi Darhim Darhim Diana Ayu Wulandari Didi Suryadi Didi Suryadi Dina Mauliddiana Eva Musyrifah, Eva Fatimah, Siti Fitri, Rahmia Mulya Fitriani Fitriani Gelar Dwirahayu Gusni Satriawati, Gusni Hidayat, Asep Syarif I N Atikah I Susanti Ilham Muhammad Indra Siregar Jarnawi Afgani Dahlan Khairani Khairani Khairini Atiyah Krisna Satrio Perbowo Krisna Satrio Perbowo Kurniasi, Rima Kusnandi Kusnandi Kusnandi M. Hafiz Muh. Khaedir Lutfi Muhamat Hidayatul Ridho N. Nurjanah Nisa, Nenden Chaerun Nurjanah, Nurjanah Papien Aprisda R, Ari Hestaliana Ratu Mauladaniyati Rifa Rizqiyani Rifdah Rifdah Rima Kurniasi Rini Sulastri Rizky Rosjanuardi Rum, Ahbi Mahdianing Sarassanti, Yumi Sartika, Nenden Suciyati Sendi Yoga Agustin Shafa Salsabila Silvyani Eka Putri Sitanggang, Damra Ali Siti Fatimah Sufyani Prabawanto, Sufyani Suhendra, S Syamsul Arifin Tatang Herman Tatang Herman, Tatang Tiara Aurelly Ferta Tonra, Wilda Syam Utomo, Dwi Arianti Suryo Vika Andina, Vika Wahyudin Wahyudin Wahyudin Wahyudin Wahyudin, Wahyudin Yaya Kusuma Yaya S. Kusumah Zatman Payung