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Journal : Jurnal Elemen

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Utilizing open-ended approach to enhance mathematical understanding among vocational high school students Rifai, Rusdian; Turmudi; Jarnawi Afgani Dahlan; Suhendra
Jurnal Elemen Vol 11 No 3 (2025): July
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v11i3.29711

Abstract

Mathematics learning in vocational high schools is still teacher-centred and relies on structured exercises, leaving little room for students to develop a conceptual understanding. The open-ended approach can be a solution because it allows students to explore various strategies for solving mathematical problems in depth. However, its implementation in vocational high schools remains limited. This study aimed to examine the effectiveness of the open-ended approach in improving the mathematical understanding of vocational high school students. A quasi-experimental design with a pretest-posttest control group design was used. The sample consisted of 72 students in the 11th-grade of Computer and Network Engineering, selected based on previously formed classes. Data were obtained through a mathematical understanding test that measured students' ability to identify, use, and apply the concepts of sequences and series to solve everyday problems. The test instrument consisted of three essay questions, with a maximum score of four for each item. As the data were not normally distributed, the Mann-Whitney U test analysis was used. The results showed that the increase in mathematical understanding of the group of students who received the open-ended approach was significantly better than that of the group who received direct learning.
Textbook analysis of integers content using the praxeology framework Fitriasari, Putri; Suhendra; Suryadi, Didi; Nurlaelah, Elah
Jurnal Elemen Vol 11 No 3 (2025): July
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v11i3.29859

Abstract

Textbooks play a crucial role in the learning process, influencing instructional practices and students' cognitive development. However, some textbooks fail to support students in constructing new knowledge because of a lack of gradual concept progression. Consequently, textbook analysis has become a key focus of educational research. This study analysed a seventh-grade mathematics textbook on integers using the praxeology framework. It examines the material structure and identifies potential learning obstacles to learning. As part of Didactical Design Research (DDR) at the prospective stage, this study adopts an interpretive paradigm and qualitative approach. The praxeology framework, derived from the Anthropological Theory of the Didactic (ATD), serves as an analytical lens for this study. The researchers conducted an in-depth analysis of praxeological components, including task types, techniques, technologies, and the underlying theories. The findings revealed that the textbook systematically presented integer content but lacked support for epistemic knowledge construction. Additionally, potential didactic and ontogenic obstacles were identified. The findings contribute theoretically by demonstrating the framework’s application to textbook analysis. Practically, it guides the alignment of mathematical tasks with learning goals and reduces the learning obstacles. The results inform policy by emphasising the development of contextually and pedagogically relevant textbooks, rather than direct adaptation.
Co-Authors Aam Slamet Rusydiana, Aam Slamet Abdul Hamid Achmad Saypullah Adeng Hudaya ADI FITRA Afianto Afiatin Nisa Agung Fajar Ilmiyono AGUS SETIAWAN Agustina, Lutfiah Dwi Ahmad Arif Fadilah Ahmad Mulyadi Aisyah Milania Al Jupri Aliffia Teja Prasasty Amran An Khofiyah, Nida Anas Agung Nugroho, Azwar Andini Putri Riandani Anindya, Farisa Anton Yusuf Ardiansyah Ariandi, Tifanny Rizka Arif Ardiansyah Ashar Muda Lubis Askana Fikriana Asyari Hasan, Asyari Aulia Khairunnisa Austin, Trecy Aziz, Helmi Mundhiya Bahrum Subagiya Berta Berlian Borneo Budi Santoso Chelsi Ariati Christopher Ari Setiawan Dadang Juandi Dara, Azzahra Desi Kardini Wulansari Dewi Cipto Rini Dhias Cahya Hakika Dia D, Dito Septian Dian Fitriana Didi Suryadi Dinda Nurul Inayati Djoni Hartono Dwisaptarida, Febrisa Efri Gresinta Eka Putri Aprilia Eka Suhardi Elah Nurlaelah Elah Nurlaelah Elfi Yuliza Ellyn Octavianty Erika Agustiana Fadhilah, Ilmi Nur Fauzan, Hemmy Fauziah , Lasya Gayatriani, Intan Halauddin Hamzah Muhammad Mardi Putra Hanifah Nurhayati Hanne Ayuningtias Elsa Hartini, Juli Hasyrani Windyatri Herawati, Fuji Herayanti Heriyanti, Sinta Sundari Husna, Maratul Hutari, Andri ida, maulidah Idha Isnaningrum Ikhlasul Amal Imam Santosa Iramdan Irkhos Irlianda, Rahma Ismaya Wardati Basimah Isnaini, Lisa Fajri Jarnawi Afgani Dahlan Johannes Hutabarat Juli Hartini Kartini, Tri Mulyani Kaswiran Katili, Funixman Khaidir Fadil Kristanti, Hana Dwi Kusdiana, Asep Kusmanto Kusuma, Repal Wijaya Laksana, Zen Adi Laksono, Tsaqif Maulana A. Lizalidiawati Lizalidiawati Lizalidiawati Lubis, Putri Kemala Dewi Luthfi Atikah M. Andre Kurnia Mada Jimmy Fonda Arifianto Maifa, Talisadika Serrisanti Manik, Elisabeth Fitryany Martomo Setyawan Maryadi, Deri Mawabagja, Dico Mokodompit, Rosnany Moulita, R.A. Nurul Muhamad Praditiya Aprian Muhamad Safei Muhammad Arif Muhammad Hilmi Muhammad Ihsan Muhammad Kunta Biddinika Muhammad Naufal, Muhammad Muhammad Yusuf Faruq mutiara islami Nafilah Diana Kholidah Nandang Hidayat Nasihardani, Dana Nasrul Naufal Nida An Khofiyah Nindy Okta Novianti Ning Ratwastuti Noor Isna Alfaien Nurdina, Sastya Nurul Hidayati P.O Sianipar, Togar Pirdaus, Pikram Prafinda Ababil, Putri Pramashella, Nabilla Azzahra Pujianto Putra, Galih Hastara Putra, Naufal Kusuma Putri Fitriasari, Putri Putri Ria Angelina Qisti Hanifa Radix Rascalia Rahman, Yohanes Tri Laksana Rahmat, Muh. Rahmatin, Tsania Rahmawati Raju Gobal Ramadanti, Nadia Nurul Ratri Widiyanti Rayen Sanjaya Refrizon Riandani, Andini Putri Rida Samdara Ridho, M. Syahrul Rifai, Rusdian Riska Ekawita Rita Retnowati Roelanda, Alvi Rohmat T.Z Rusdian Rifai Sadiah, Lia Halimatus Sakti, Ridho Eka Salati Asmahasanah Salsabila Indah Cahyani Sari, Dwi Maulida Sekarwati, Khairina Sellina, Sesri Sellyn Septianty Sendiya Verentina Septa, Ririn Dwi Mulya Septianingsih, Lia Setyaningsih, Sri Shafiq Nurdin SIHOMBING, YOSIA PANDU Sihotang, Valentin Siti Fatimah Siti Kurnia Siti Lady Havivi Siti Rahayu Siti Salamah Siti Yulaikhah Sri Setyaningsih Subagyo, Wahyu Triono Suci Charolina Sugianitri, Kadek Sunarta, Ketut Supriyati T. W., Alhidayatuddiniyah Tamalika, Tolu Tan, Emmelia Taufik Hidayah Teja Arief Wibawa Tirtana, Arif Tri Lestari Tri Ngudi Wiyatno Tri Rahmawati, Tri Tri Sedya Febrianti Turmudi Virdiyanti, Ruri Wahyudin Wardhani, Puspa Wardi, Novi Wiati, Iis Widodo Sunaryo Wijayanti, Karima Anggita Wilni Cahyani Laia Yekti Asmoro Kanthi Yuni Fitriyah Yuniasih, Dewi Zahar, Muhamad Abdul Zainudin, Zulkifli Zulfa, Zulfatur Rohmah Zulfikar