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Journal : Mathematics Education Journal

Development of Derivative Understanding Task Instruments to Explore Student Commognition Lefrida, Rita; Siswono, Tatag Yuli Eko; Lukito, Agung
Mathematics Education Journal Vol. 17 No. 3 (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

Instruments are tool that used to collect research data. The instrument consists of two types, namely the main and supporting instruments. In this paper, we develop the supporting instruments which are used in qualitative research such as commognitive perspective. The instrument development aims to explore and reveal students' cognition in understanding derivative tasks that are valid and reliable. It means the instrument is needed in order to explore cognition and communication in an inseparable manner according to the theory used in this research. The two supporting instruments that developed in this study are the mathematical ability test (MAT) and the derivatives understanding task (TMT). Moreover, the developed MAT instrument is accompanied by source questions, grids and indicators. The MAT consists of 10 questions, and this was tested empirically in the category of valid and high reliability. Furthermore, TMT is developed as a reference for exploring student commognition. The TMT consists of 14 questions. The preparation and development of the instruments in this study are based on relevant theories and supported by empirical data. At the expert review step, validation is carried out in terms of content, construct and language by experts. Each step is tested for readability, then suggestions and comments are provided for improvement. The final results obtained show that the two supporting instruments (MAT and TMT) are feasible to use in exploring student commognition because these bring up keywords, visual mediators, endorsed narratives, and routines, as a commognition character. DOI: https://doi.org/10.22342/jpm.17.3.20826.343-360
Collective Argumentation through Scaffolding: Homogeneous and Heterogeneous Groups in Solving Mathematics Tasks Ekawati, Aminah; Siswono, Tatag Yuli Eko; Lukito, Agung
Mathematics Education Journal Vol. 19 No. 2 (2025): 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.v19i2.pp217-240

Abstract

Collective argumentation plays a crucial role in enhancing students' mathematical understanding through discussion. While previous studies have explored collective argumentation and group composition, only a limited number of research has examined the impact of ability-based grouping—both homogeneous and heterogeneous—on collective argumentation in mathematics learning. Based on this, the current research aims to explore collective argumentation in homogeneous and heterogeneous groups of students, supported by scaffolding, in solving mathematically and non-mathematically rich tasks. Using a qualitative approach with a case study design, the present study involved two groups of eighth-grade students, each consisting of six eighth-grade students with high, medium, and low abilities. Data were collected through recorded group discussions, observations, and interviews. After that, the collected data were analyzed using the Toulmin argumentation model. The findings reveal that homogeneous groups of high-ability students engaged more actively in idea exploration and generated dynamic arguments, incorporating key argumentation elements such as claims, data, warrants, rebuttals, and qualifications. In contrast, in heterogeneous groups, high-ability students dominated discussions, while lower-ability students were more passive and relied on scaffolding from teachers or peers. Furthermore, mathematically rich tasks were more effective in fostering in-depth discussions than non-mathematically rich tasks. These findings highlight the importance of strategic student grouping and scaffolding in promoting engagement and meaningful collective argumentation in mathematics learning.
Co-Authors ABADI Abadi Abadi Abadi Abdul Haris Rosyidi Abdul Haris Rosyidi Abdul Haris Rosyidi ADINDA SURYA PUTRI, NOVIEA AGUNG LUKITO Agung Lukito Agustin, Halimah Nur Ahmad Wachidul Kohar Ain Putri Rustini Ainurrohmah, Indah Ajeng Rara Veronica Alfiati Oktaaviarina Alista Hariyanti Amalina, Ijtihadi Kamilia Amalina, Ijtihadi Kamilia Aminah Ekawati Amirudin, Mochammad Amirudin, Mochammad Anis Shobikhah Aniskurnia Rahmadhani Fajerin Ardiansyah, Dicky Ari Mawanto Arief Budi Wicaksono Armeria Wijaya, Armeria Aryo Andri Nugroho Asma Johan Atik Wintarti Aulia Kholifatul Khasanah Auliya, Ahmad Sulthan AYU SEPTYANI, DWI Ayu Wulandari, Hilaria Yesieka Bahrudin, Eko Rahmad Bonyah, Ebenezer Cahyati, Vania Idelia Ching, Ong Khye Chusnul Fadlilah Defi Imamatus Sholikha Deka Anjariyah Devya, Lenthera Mega Dewi Setianingsih Dini Kinati Fardah Dita, Farah Dovina Meilisa Nur Fadilla Dwi Juniati Dwi Juniati Dwi Juniati Dwi Nur Yunianti DWI SISWANTORO, MAHMUD Ekawati , Rooselyna Elvita Novia Dinawati Ely Susanti Endah Budi Rahaju Endang Suprapti Endri Puji Lestari Evangelista Lus Windyana Palupi Evy Novia Nanda Artama Fachry Abda El Rahman FARIHATUS SADIYAH, IHDA Farman FATIMA AZZAHRO, ELOK Fatimatul Khikmiyah Fauzi, Habibillah Achmad Putra Fiangga, Shofan FILLAH FR, ASHDAQ Fitmawati, Entya Esa FITRIYAH, NUR Fitriyani Hali, Fitriyani Fran Susanto Galih Kurniadi Galih Kurniadi HABIB MANAN, MUHAMMAD Hanifah, Mifthaqul Harini, Novita Vindri Heng, Limalin Hikmah, Nur Hidayatul I Ketut Budayasa Ida Dwijayanti Ihsani, Ulynnuha Aulia Ijtihadi Kamilia Amalina Ika Dwi Retnowati Ika Kurniasari Ika Kurniasari Imelda Imelda Imelda Imelda Imelda Imelda Indarasati, Nanda Ayu Ismail Ismail Ismail, Ismail Jamhari Jamhari Jayanti Putri Purwaningrum Julia Ayu Wulandari Kai-Lin Yang Karomah, Syarifatul Kartikawati, Wahyu Khoirun Nisa khusnul khotimah kiki ratnaning arimbi Kurnia Widyaningsih Laikha Sari Lenthera Mega Devya M. Fauzan Asy'ari M. Ulul Albab M. Zaenal Muttaqin MACHMUDAH, AMIROTUL Manuharawati Marpaung, Dian Wahyu Masriyah Masriyah MASRIYAH Masriyah Masriyah Masriyah Masriyah Masriyah Masriyah Masriyah Masriyah Maulida Aulia Mega Teguh Budiarto Meryansumayeka Meryansumayeka Mochammad Amirudin Moh. Hafiyusholeh Mudinillah, Adam Muh. Rizal Muhamad Alfian Efendi Muhammad Arif Fathoni muhtarom Muhtarom Muhtarom Muhtarom Murwaningsih, Wuri Indah Nabilah Kartika Sukmawati Nanda Ayu Indarasati Nanik Kurnia Sugiarti Ndayizeye, Oscar Neni Mariana Noerdiana, Azizah Firdha Nurdin Nurdin Nurul Laili Nuswantoro, Ari Wahyudi Nyimas Aisyah Oktaviana Ainun Ratnawati Oktaviana Ainun Ratnawati Oktaviana, Dwi Livia Pertiwi, Rizky Dian Pradnyo Wijayanti Puspita, Dhesta Nurdana Putra, Misel Rajasyah Hadi Putri Dwi Naryaningsih Rachma Mufidah, Latifah Nuryah Rahaju, Endah Budi Rahman, Fatchiyah Rahmatika, Ismi Ramlah Ramlah Ramlah Ramlah Ratna Sari Dewi Ria Pusvita Sari Rini Setianingsih Rita Lefrida Rooselyna Ekawati ROYHAN, MUHAMMAD Rusydah Kamilah SANDI SETIAWAN, ARI Savirra Tazkia Sendi Ramdhani Setia Putri Ayu Ramadani Setianingsih, Rini Sipayung, Tetty Natalia Siti Khabibah Siti Khoiriyah Siti Maghfirotun Amin Siti Mistima Maat Siti Munawaroh Sri Wahyuni Sugi Hartono Sugi Hartono Sugi Hartono, Sugi Suhendra Panca Wardhana Susanto, Fran Sutinah Syafiul Muzid SYAMSU ALAM Syamsu Alam Syarifatul Maf’ulah Syifa'uliyah, Syifa’uliyah Syifa’uliyah Syifa'uliyah tazkia, savirra Tri Dyah Prastiti Tri Rezeki, Irma Setiawati Tria Bitara Ucu Rahayu Ulul Azmi Uripno, Gusti Uswatun Hasanah Uzlifatul Hasanah Uzlifatul Hasanah Vania Idelia Cahyati Wahyuni, Anik Sri Wiryanto Wiryanto Wiryanto Wiryanto Wiryanto Wiryanto Wiryanto Wiwik Andriani Wulan Puspitasari Wulandari, Hilaria Yesieka Ayu Wuri Indah Murwaningsih Yatim Riyanto Yulia Puji Astuti Yumiati YUSUF FUAD Zahri, Mohammad Zulnaidi, Hutkemri