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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.
Students' Prior Knowledge as an Ontogenic Obstacle on the Topic of Ratio and Proportion Wahyuningrum, Ayunda Sri; Suryadi, Didi; Turmudi
Mathematics Education Journal Vol. 17 No. 1 (2023): Jurnal Pendidikan Matematika
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

This study aims to investigate students’ prior knowledge as an obstacle when learning ratio and proportion concept. The study uses an interpretive paradigm which is part of Didactical Design Research. Eighth graders who had learned about ratio and proportion participated in this study. The analysis was carried out qualitatively based on the data from the students’ answers and interviews on their answers when solving ratio and proportion problems to identify learning obstacle, especially ontogenic obstacle regarding the students’ prior knowledge. The result of this study indicates that prior knowledge is one of the ontogenic obstacle in teaching and learning of ratio and proportion. It can be found from their learning experience in understanding the concept. In conclusion, investigating students' prior knowledge is essential for the effectiveness of teaching and learning of ratio and proportion. It is important to overcome ontogenic obstacles and to understand how to activate students’ prior knowledge using the right or appropriate methods when learning ratio and proportion. DOI: https://doi.org/10.22342/jpm.17.1.18866.55-68
Understanding teachers’ personality competence in mathematics instruction Warli, Dwi; Suryadi, Didi; Fatimah, Siti; Suhendra, Suhendra; Wicaksono, Agung
Jurnal Gantang Vol 10 No 1 (2025): Jurnal Gantang
Publisher : Universitas Maritim Raja Ali Haji

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31629/jg.v10i1.7166

Abstract

Teacher personality competence, which includes ethical maturity, reflective self-development, and a student-centered orientation, is vital to effective mathematics instruction at Madrasah Ibtidaiyah. However, this crucial aspect remains overlooked mainly in instructional design, limiting the potential for meaningful and ethical learning experiences. This study explores how personality competence is demonstrated in classroom practices and contributes to high-quality mathematics teaching. Utilizing a qualitative approach and the Didactical Design Research (DDR) framework at the prospective analysis stage, the research involved six sixth-grade teachers from six different Madrasah Ibtidaiyah in Bandung Regency. Data were collected through classroom observations, in-depth interviews, teacher reflection sheets, and instructional document analysis. Data were analyzed using the three-stage framework of data reduction, data display, and conclusion drawing/verification through an iterative process to identify patterns and inform the subsequent DDR phases in the context of joyful mathematics learning at MI. Findings revealed that teachers scored at level 3 for moral, emotional, and spiritual maturity, level 1 for reflective self-development, and level 2 for student-centered orientation. These findings suggest that while MI teachers show emerging awareness of personality competence, most remain at early developmental stages, highlighting the need for structured support to foster ethical leadership, reflective practice, and student-centered teaching. Teachers with strong personality competence exhibited discipline and consistency and served as moral role models. Furthermore, they effectively managed classrooms and actively engaged students in mathematical learning. These results offer insights for developing instructional designs prioritizing teacher personality competence as a critical factor in educational quality.
SYSTEMATIC LITERATURE REVIEW: KESALAHAN SISWA SMP DALAM MENYELESAIKAN SOAL BANGUN RUANG SISI DATAR BERDASARKAN NEWMAN Farah Salsabila; Didi Suryadi; Nurjanah
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 7 No. 2 (2024): Menjembatani Matematika dan Pendidikan Matematika menuju Pemanfaatan Berkelanju
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v7i2.3862

Abstract

Geometri merupakan materi yang perlu dipelajari, hal ini dikarenakan sering kita temui dalam kehidupan sehari-hari. Salah satu materi geometri yang erat kaitannya dengan kehidupan sehari-hari adalah materi bangun ruang sisi datar. Namun, masih terdapat siswa yang melakukan kesalahan dalam menyelesaikan soal pada materi tersebut. Tujuan penelitian ini untuk melakukan kajian literatur terkait kesalahan siswa dalam menyelesaikan soal pada materi bangun ruang sisi datar menurut prosedur Newman. Metode penelitian yang digunakan dalam penelitian ini adalah metode systematic literature review (SLR). Berdasarkan hasil penelitian jenis kesalahan yang dilakukan siswa SMP pada materi bangun ruang sisi datar adalah kesalahan membaca, kesalahan memahami, kesalahan transformasi, kesalahan keterampilan proses, dan kesalahan penulisan jawaban. Jenis kesalahan yang sering dilakukan siswa adalah kesalahan penulisan jawaban.
SYSTEMATIC LITERATURE REVIEW LEARNING OBSTACLE SISWA SEKOLAH MENENGAH PERTAMA PADA MATERI PERSAMAAN LINEAR SATU VARIABEL Suwito, Hanifah Wahyu; Suryadi, Didi; Nurjanah, Nurjanah
PHI: Jurnal Pendidikan Matematika Vol 9, No 1 (2025): EDISI APRIL 2025
Publisher : Universitas Batanghari Jambi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33087/phi.v9i1.411

Abstract

Tujuan penelitian ini adalah untuk mengkaji mengenai learning obstacle yang dialami siswa dalam belajar materi persamaan linear satu variabel. Penelitian ini merupakan penelitian tinjauan literatur dengan metode Systematic Literature Review (SLR). Data yang digunakan dalam penelitian ini berupa artikel penelitian yang membahas tentang learning obstacle pada materi persamaan linear satu variabel yang diperoleh dari database Google Scholar. Hasil penelitian menunjukkan bahwa ketika mempelajari persamaan linear satu variabel, siswa mengalami beberapa learning obstacle. Ontological obstacle ditemukan sebagai akibat dari peralihan proses berpikir siswa dari berpikir aritmetika menjadi berpikir aljabar. Epistemological obstacle yang ditemukan adalah siswa tidak mampu menerapkan konsep persamaan linear dalam situasi kontekstual. Didactical obstacle berkaitan dengan proses pembelajaran yang dilakukan di kelas seperti pemilihan model dan strategi pembelajaran yang mengakibatkan pemahaman siswa terhadap materi menjadi tidak optimal.
Identifying learning obstacles in proof construction for geometric transformations: Conceptual, procedural, and visualization errors Maifa, Talisadika Serrisanti; Suryadi, Didi; Fatimah, Siti
Jurnal Infinity Vol 14 No 3 (2025): VOLUME 14, NUMBER 3, INFINITY
Publisher : IKIP Siliwangi and I-MES

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/infinity.v14i3.p673-694

Abstract

This study investigates learning obstacles encountered by pre-service mathematics teachers in constructing proofs for geometric transformations, a topic that has not been extensively examined in previous research. In contrast to prior studies, this research identifies specific types of errors, as well as their interconnections, representing the first step in uncovering learning obstacles. The study followed the four steps of phenomenology: bracketing, intuiting, analyzing, and describing, using written tests and interviews to explore students' errors. The findings reveal that errors can be categorized into three types: visualization errors, conceptual errors, and procedural errors. The analysis of their interconnections revealed that conceptual errors were the primary factor contributing to both procedural and visualization errors. Analyzing these errors led to the identification of epistemological obstacles, which manifested when participants struggled to apply fundamental concepts—such as injectivity, surjectivity, and bijectivity—to more complex tasks. Therefore, the study concludes that the primary learning obstacle discovered is an epistemological obstacle.
Pemberdayaan Perempuan Melalui Penguatan Ketahanan Pangan: Peran Kelompok Wanita Tani (KWT) dan Penggiat PKK dalam Pengembangan Komoditas Hortikultura Berbasis Urban Farming di Desa Cemani, Grogol, Sukoharjo Pradana, Anditya Gilang Rizky; Pranata, Muhammad Fariz Yoga; Wijayanti, Bela Tri; Nurhidayati, Febry; Adillah, Aulia; Suprihatin, Dewi Nawang; Suryadi, Didik; Hantari, Dimar; Seto, Rehino Yanu
Adi Widya : Jurnal Pengabdian Masyarakat Vol 9 No 1 (2025): Adi Widya: Jurnal Pengabdian Masyarakat
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33061/awpm.v9i1.11879

Abstract

Cemani Village, Grogol District, Sukoharjo, has great potential to be developed as an agrotourism destination, thanks to its fertile land and strong community support. However, the development of the agricultural sector, particularly orchard, remains limited. This community service program aims to empower women through the Farmers Women’s Group (KWT) and PKK, with focus on food security through urban farming. Activities include extension of superior seed planting, training in horticultural cultivation techniques, and distribution of seeds to the community. The program also introduces the concept of agrotourism to boost income through harvests and educational tours. The results show an increased understanding of sustainable cultivation techniques. To ensure the program's sustainability, further training, infrastructure development, and routine monitoring are required, along with collaboration between the village government, universities, and BUMDes to establish Cemani Village as a model of agrotourism destination.
ENHANCING MATHEMATICAL LITERACY THROUGH GEOGEBRA CLASSROOM-ASSISTED LEARNING: A CASE STUDY IN INDONESIAN SECONDARY SCHOOLS Raisatunnisa; Suryadi, Didi; Fatimah, Siti; Priatna, Nanang; Nasir, Norma
MATEMATIKA DAN PEMBELAJARAN Vol. 13 No. 1 (2025): MATEMATIKA DAN PEMBELAJARAN
Publisher : IAIN Ambon

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33477/mp.v13i1.8938

Abstract

Mathematical literacy is important for helping students solve real-world problems through mathematical reasoning. However, students in Indonesia still demonstrate low performance in this area. This study aims to examine the effectiveness of GeoGebra Classroom-assisted learning in improving the mathematical literacy of eighth-grade students on the topic of exponents and roots. Using a qualitative descriptive method, data were collected from 22 students through written tests, questionnaires, and interviews. The results showed that GeoGebra Classroom supported conceptual understanding, improved visualization of abstract material, and increased student motivation and engagement. The use of this interactive technology had a positive impact on all indicators of mathematical literacy. These findings suggest that GeoGebra Classroom is an effective tool for enhancing mathematical literacy, and further research with larger and more diverse samples is recommended to strengthen and expand upon these results.
Identifying learning obstacles in proof construction for geometric transformations: Conceptual, procedural, and visualization errors Maifa, Talisadika Serrisanti; Suryadi, Didi; Fatimah, Siti
Jurnal Infinity Vol 14 No 3 (2025): VOLUME 14, NUMBER 3, INFINITY
Publisher : IKIP Siliwangi and I-MES

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/infinity.v14i3.p673-694

Abstract

This study investigates learning obstacles encountered by pre-service mathematics teachers in constructing proofs for geometric transformations, a topic that has not been extensively examined in previous research. In contrast to prior studies, this research identifies specific types of errors, as well as their interconnections, representing the first step in uncovering learning obstacles. The study followed the four steps of phenomenology: bracketing, intuiting, analyzing, and describing, using written tests and interviews to explore students' errors. The findings reveal that errors can be categorized into three types: visualization errors, conceptual errors, and procedural errors. The analysis of their interconnections revealed that conceptual errors were the primary factor contributing to both procedural and visualization errors. Analyzing these errors led to the identification of epistemological obstacles, which manifested when participants struggled to apply fundamental concepts—such as injectivity, surjectivity, and bijectivity—to more complex tasks. Therefore, the study concludes that the primary learning obstacle discovered is an epistemological obstacle.
A study of proportional reasoning: Tackling missing value and numerical comparison challenges Warli, Dwi; Suryadi, Didi; Fatimah, Siti; Suhendra, Suhendra; Wicaksono, Agung; Sari, Dwi Maulida; Raisatunnisa, Raisatunnisa
Journal of Didactic Mathematics Vol 6, No 1 (2025): April
Publisher : Mahesa Research Center

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34007/jdm.v6i1.2575

Abstract

This study aims to examine students’ proportional reasoning in solving multiplicative problems. Three seven-grade students from SMPIT Al-Fahmi Palu were purposively selected using judgment sampling. Data analysis was conducted in three stages: data reduction, data presentation, and conclusion drawing/verification. The analysis was based on Bexter and Junker’s theory of proportional reasoning, which consists of five stages: (1) qualitative, (2) early attempts at quantifying, (3) recognition of multiplicative relationships, (4) accommodating covariance and invariance, and (5) functional and scalar relationships. The results show that students with low ability (R1) solved problems by recording the first measurement and pairing it with the second measurement through addition, indicating the early attempts at quantifying stage. Students with moderate ability (R2) solved the problems by listing all possible combinations and summing them, indicating recognition of multiplicative relationships. Meanwhile, high-ability students (R3) solved the problems by multiplying the first and second measurements, indicating they were in the accommodating covariance and invariance stage of proportional reasoning.
Co-Authors Aan Hasanah Abdul Fatah ABDUL MUJIB Abdul Mujib Abidin, Muhamad Zainal Addilah, Aulia Ade Sunawan Adillah, Aulia adisti, yulia Adnan, Mazlini Ady Akbar Agung Wicaksono Agung Wicaksono AHMAD LUTFI Ahmad Mukhibin, Ahmad Ahwan, M. Tami Rosadi Ahzan, Zulkaidah Nur Aiyub Aiyub Akbar, Ady Al Jupri Amelia, Tia Amrita Kaur anah, usmi Ananda, Revika Andika Putra R Anggraini, Yulia Arsyil Waritsman Asep Bayu Dani Nandiyanto Asmara, Putri Meilia Asri, Rian Puji Ayunda Sri Wahyuningrum Bernadeta Suhartini Cecep Anwar Hadi Firdos Santosa Cecep Anwar Santosa Cipta, Eliva Sukma Cris Kuntadi d, delrefi Dadan Dasari Dadang Juandi Darhim Darhim Dewantara, Julian Dian Usdiyana Diding Ruchaedi, Diding Dilham Fardian Dwi Endah Lestari Dwi Fitriani Rosali E. Elvis Napitupulu E. Elvis Napitupulu, E. Elvis Edi Supriyadi Edya Kresna Annizar, Edya Kresna Eka Puspitasari, Eka Eka Supriatna Eka Swasta Budayati Eko Risdianto Eko Saputra Elah Nurlaelah Elah Nurlaelah Eli Nugraha, Eli Elsa Komala Elsa Komala, Elsa Elsayed, Ebrahim E. Endang Cahya Mulyaning Endang Cahya Mulyaning A. Entit puspita Erika Yohanna Seventina Siahaan Eva Musyrifah, Eva Fajriadi, Dede Farah Salsabila Fardian, Dilham Fathiyah, Ifa Fatimah, Neneng Fauziah, Ella Febrilia, Baiq Rika Ayu Firda, Nadiatun Firsta Yosika, Ghana Fitri April Yanti, Fitri April Fuadiah, Nyiayu Fahriza Galih Anggriawan Gulvara, M Akbar Gumpita, Melly Terry Haidar, Muhammad Daffa Haidara, Youssouf Hantari, Dimar Hardian Ningsih, Hardian Hardinata, Riyan Harsela, Febey Haruna, Nana Harlina Hayuningrat, Silfia Hendriyanto, Agus Hengki Kumbara Heni Pujiastuti Hidayati, Febry Nur Hutkemri Zulnaidi I Made Suarsana I Made Suarsana Idiatul Fitri Danasari Ika Meika Ilmah, Nur Khozanah Inayah, Sarah Indah Puspita Sari Indah Puspita Sari, Indah Puspita Indrawati Indrawati Indrawati Indriyani, Mona Irfan Fauzi Irfan Fauzi Irfan Fauzi Irianto Irianto Islamiyah, Wafa Isnarto Isnawan, Muhamad Galang Istikomah, Endang Itoh, Takashi Ivanov, Danail Jamhari Jamhari Jarnawi Afgani Dahlan Jaya Dwi Putra, Jaya Dwi Joni Joni Jozua Sabandar Jozua Sabandar Juita, Krisna Jusniani, Nia Khoerunisa, Adlina Komang Sujendra Diputra KOMARIAH, NURUL Krida Singgih Kuncoro Kusnandi Kusnandi ,- Kusnandi Kusnandi, Kusnandi Laila, Alya Nur Najmi Lia Ardiansari Lorenza, Ade Novia Lucky Heriyanti Jufri, Lucky Heriyanti Lukman Lukman Lyna Sari, Dwi M Akbar Gulvara Maifa, Talisadika Serrisanti Martinez Edison Putra Maula, Nyla Farhatul Maulana, Dick Dick Maya L Hutapea, Maya L Melia Eka Daryati Mikkey Anggara Suganda Mimi Hariyani Mimin Ninawati Mohamad Gilar Jatisunda Mu'afi, Yusniar Najmah Muhaimin, Lukman Hakim Muhammad Hatta Muhammad Kristiawan Muhammad Rayana Kusumanegara Muhammad Win Afgani Mulyaning. A, Endang Cahya Mulyawati, Sri N. Nurjanah nadia, elen falen Nadiva Dwi Anggani Nanang Priatna Nasir, Norma Nasir, Nurihan Nelly Fitriani Németh, Zsolt Nia Kania Nina Kurniah, Nina Nur Eva Zakiah, Nur Eva Nur Qamariah Nurhayati, Lina Nurhidayati, Febry Nurjanah Nurjanah Nurjanah, Nurjanah3 P, Anditya Gilang Rizky Pacis, Estrella R. Pandu Pratama Paryanto, Edi Pauji, Ikbal Pradana, Anditya Gilang Rizky Pranata, Muhammad Fariz Yoga Priatna M, Bambang Avip Prihandhika, Aditya Pundawa Sari, Noti Puspasari, Eka Putra R, Andika Putra Sastaman B Putri Fitriasari, Putri Putri, Amelia Defrianti Putri, Jazila Anaka Putri, Santika Putri, Tanaya Eka Rahmadi Rahman, Zahra Fadhila Rahmat Putra Perdana Rahmi Nur'aini Azzahra Raisatunnisa Raisatunnisa, Raisatunnisa Rama Nida Siregar Ramli Rani Sugiarni Raudiyah Rizki R Rayhan, Nabila Cynthia Repormasi, Amanah Rezza Dewintha, Rezza Rianto, Louis Riastuti, Ade Riyanto Riyanto Riyoko, Endie Rizki Rosjanuardi Rizky Rosjanuardi Rizky, Anditya Gilang Rosmayasari Rosmayasari Rosmayasari, Rosmayasari RR. Ella Evrita Hestiandari Rubiyatno Rubiyatno Rubiyatno Rudi Rudi Rudi Rudi Rusyid, Husnul Khatimah S. Maifa, Talisadika Sacko, Makan Sahara, Sani Sahid Agus Nurhamid, Sahid Agus Salsabila, Alya Salsabila Sandra, Yuce Saputri, Aulia Nabilla Sari, Atika Defita Sari, Desi Vita Sari, Dwi Maulida Sari, Liza Permata Sari, Octarina Mayang Sendi Ramdhani Setambah, Mohd Afifi Bin Bahurudin Seto, Rehino Yanu Setyaningrum, Desy Siahaan, Erika Yohanna Seventina Siregar, Rama Nida Siti Fatimah Siti Noor Binti Ismail Suciati, Indah Sufyani Prabawanto, Sufyani Suhendra Suhendra Suhendra Suhita, Cahyaningtyas Putri Sukma Murni Sukma Murni Sulistiawati Sulistiawati Sumaryanti Sumaryanti Suprapti, Anni Suprihatin, Dewi Nawang Surya Kurniawan Sutawanir Darwis Suwito, Hanifah Wahyu Syafdi Maizora Syamsul Arifin Syamsuri Syamsuri Syarifah, Mufarrahatus Syisva, Syisva Taorina, Rani Martalisa Tarmudi, Tarmudi Tatang Herman, Tatang TATI NURHAYATI Theodore Dwivaland Fophin Tin Lam, Toh Tjahyanto, Teddy Tonra, Wilda Syam Toto Subroto Tri Nova Hasti Yunianta Turmudi Umbara, Uba Umbara, Uba Unaenah, Een Uray Gustian, Uray Utami, Nadya Syifa Wafa Islamiyah Wahyudi, Ibnu Wardah, Saidah Nabila Wardat, Yousef Warli, Dwi Warsitarumanti, Syahrani Wembrayarli, Wembrayarli Wijayanti, Bela Tri Wilda Syam Tonra Wina Romdhani, Wina Windia Hadi, Windia Y. Touvan Juni Samodra Yaya S. Kusumah Yaya S. Kusumah Yenda Puspita Yenni ,- Yoppy Wahyu Purnomo Yulidesni Yulidesni, Yulidesni Yuni Hajar Zainal Arifin zulnadila, zulnadila